Answers
Answer:
A. Vertex is ( -1, 16)
B. Do they mean y-intercept for vertical intercept? That is (0,14)
C. X-intercepts are
(-3.838, 0) and (1.828, 0)
Step-by-step explanation:
plug the equation into desmos. It will graph and give you the info.
To find y-int, plug in 0 for x. This gives you the point 0, 14.
You can also use the quadratic equation to find the x-intercepts.
Answer:
see explanation
Step-by-step explanation:
A
given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 ) , then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = - 2x² - 4x + 14 ← is in standard form
with a = - 2, b = - 4 , then
x = - [tex]\frac{-4}{-4}[/tex] = - 1
substitute x = - 1 into f(x) for corresponding y- coordinate
f(- 1) = - 2(- 1)² - 4(- 1) + 14 = - 2 + 4 + 14 = 16
vertex = (- 1, 16 )
B
to find the y- intercept let x = 0
f(0) = - 2(0)² - 4(0) + 14 = 0 - 0 + 14
y- intercept = (0, 14 )
C
to find the x- intercepts let f(x) = 0 , that is
- 2x² - 4x + 14 = 0 ( divide through by - 2 )
x² + 2x - 7 = 0 ( add 7 to both sides )
x² + 2x = 7
using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = 7 + 1
(x + 1)² = 8 ( take square root of both sides )
x + 1 = ± [tex]\sqrt{8}[/tex] ( subtract 1 from both sides )
x = - 1 ± [tex]\sqrt{8}[/tex]
then
x = - 1 - [tex]\sqrt{8}[/tex] ≈ - 3.83 ( to 2 dec. places )
x = - 1 + [tex]\sqrt{8}[/tex] ≈ 1.83 ( to 2 dec. places )
that is x- intercepts are (- 3.83, 0 ) , (1.83, 0 )
Related Questions
3. If there are 104 ounces in 2 quarts, how many quarts are there in 260 ounces?
A. 5
B. 2.5
C. 26
D. 1300
Answers
260/104= 2.5(2) = 5
answer?........................
Answers
Answer:
x- intercept = - 1 , y- intercept = 2
Step-by-step explanation:
the x- intercept is the value of the x- coordinate where the curve crosses the x- axis , that is
x- intercept = - 1
the y- intercept is the value of the y- coordinate where the curve crosses the y- axis , that is
y- intercept = 2
-3(2x-5)<5(2-x)
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answers
The correct option is an open circle at 5 and a bold line starts at 5 and is pointing to the right.
The given inequality is -3(2x-5)<5(2-x).
What is inequality?Inequality is a declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
At first simplify each side
LHS of inequality -3(2x - 5) = -3(2x) + -3(-5) [∵(-)(-) = (+)]
⇒ -3(2x - 5) = - 6x + 15
Now, RHS of the inequality 5(2 - x) = 5(2) + 5(-x) [∵(+)(-) = (-)]
⇒ 5(2 - x) = 10 - 5x
Now, - 6x + 15 < 10 - 5x
Subtract 15 from both sides
That is, - 6x < -5 - 5x
Add 5x to both sides
That is, - x < - 5
Remember the coefficient of x is negative, and then when you divide both sides by it you must reverse the sign of inequality.
Now, the coefficient of x is -1
So, divide both sides by -1
Then, x > 5.
Hence, the correct option is an open circle at 5 and a bold line starts at 5 and is pointing to the right.
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Es para hoy ayúdenme por favor
Answers
Answer:
Con qué necesitas ayuda?
Step-by-step explanation:
Please help very urgent I’m on a time limit and I need the answer this is a test
Answers
An isosceles triangle is one with two equal-length sides. The value of l is 8 ft.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
In the given image it can be observed except 140° angle, the other two angles are congruent to each other which means the triangle is an isosceles triangle.
As per the base angle theorem in an isosceles triangle the sides opposite to the congruent triangle are equal therefore, the length of side l will be 8 ft as well.
Hence, the value of l is 8 ft.
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Which composition of similarity transformations maps ΔLMN to ΔL'M'N'?
Option A: a dilation with a scale factor less than 1 and then a reflection
Option B: a dilation with a scale factor less than 1 and then a translation
Option C: a dilation with a scale factor greater than 1 and then a reflection
Option D: a dilation with a scale factor greater than 1 and then a translation
Answers
In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
m∠R > 90°
m∠S + m∠T < 90°
m∠S = m∠T
m∠R > m∠T
m∠R > m∠S
m∠S > m∠T
Answers
Answer:
1. m∠R > 90°
2. m∠S + m∠T < 90°
4. m∠R > m∠T
5. m∠R > m∠S
Step-by-step explanation:
General strategyprove the statement starting from known facts, ordisprove the statement by finding a counterexampleHelpful fact: Recall that the Triangle Sum Theorem states that m∠R + m∠S + m∠T = 180°.
Option 1. m∠R > 90°
Start with m∠R > m∠S + m∠T.
Adding m∠R to both sides of the inequality...
m∠R + m∠R > m∠R + m∠S + m∠T
There are two things to note here:
The left side of this inequality is 2*m∠RThe right side of the inequality is exactly equal to the Triangle Sum Theorem expression2* m∠R > 180°
Dividing both sides of the inequality by 2...
m∠R > 90°
So, the first option must be true.
Option 2. m∠S + m∠T < 90°
Start with m∠R > m∠S + m∠T.
Adding (m∠S + m∠T) to both sides of the inequality...
m∠R + (m∠S + m∠T) > m∠S + m∠T + (m∠S + m∠T)
There are two things to note here:
The left side of this inequality is exactly equal to the Triangle Sum Theorem expressionThe right side of the inequality is 2*(m∠S+m∠T)Substituting
180° > 2* (m∠S+m∠T)
Dividing both sides of the inequality by 2...
90° > m∠S+m∠T
So, the second option must be true.
Option 3. m∠S = m∠T
Not necessarily. While m∠S could equal m∠T, it doesn't have to.
Example 1: m∠S = m∠T = 10°; By the triangle sum Theorem, m∠R = 160°, and the angles satisfy the original inequality.
Example 2: m∠S = 15°, and m∠T = 10°; By the triangle sum Theorem, m∠R = 155°, and the angles still satisfy the original inequality.
So, option 3 does NOT have to be true.
Option 4. m∠R > m∠T
Start with the fact that ∠S is an angle of a triangle, so m∠S cannot be zero or negative, and thus m∠S > 0.
Add m∠T to both sides.
(m∠S) + m∠T > (0) + m∠T
m∠S + m∠T > m∠T
Recall that m∠R > m∠S + m∠T.
By the transitive property of inequalities, m∠R > m∠T.
So, option 4 must be true.
Option 5. m∠R > m∠S
Start with the fact that ∠T is an angle of a triangle, so m∠T cannot be zero or negative, and thus m∠T > 0.
Add m∠S to both sides.
m∠S + (m∠T) > m∠S + (0)
m∠S + m∠T > m∠S
Recall that m∠R > m∠S + m∠T.
By the transitive property of inequalities, m∠R > m∠S.
So, option 5 must be true.
Option 6. m∠S > m∠T
Not necessarily. While m∠S could be greater than m∠T, it doesn't have to be. (See examples 1 and 2 from option 3.)
So, option 6 does NOT have to be true.
Answer: Option 1, 2, 4, & 5 or
A. m∠R > 90°; B. m∠S + m∠T < 90°; D. m∠R > m∠T; & E. m∠R > m∠S
Step-by-step explanation: Trust Me!
m∠R > 90°m∠S + m∠T < 90°m∠R > m∠Tm∠R > m∠S
If you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful.
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3.)3 * (2x - 6)
4.)2x * (5x + 11)
Answers
3) [tex]3(2x-6)=\boxed{6x-18}[/tex]
4) [tex]2x(5x+11)=10x^{2}+22x[/tex]
Find the measure of angle 1.
5)
AB is a straight line.
A
152⁰
B
Answers
Let that angle be x
Linear pairs are supplementary
So
152+x=180x=180-152x=28°in an enlargement PQ P1Q1|PQ|=3cm and|P1Q1|=15cm.Calculate the scale of the enlargement.
Answers
Answer:
374795-57770
Step-by-step explanation:
Abby uses
please help me. I really need to get this right. I appreciate the hard work
Answers
A function assigns the values. The value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The value of g(x) can be found by substituting the value of x as given in the function. Therefore, the values will be,
A.) x = -1
[tex]g(-1) = 6(\dfrac32)^{-1}\\\\g(-1) = 4[/tex]
B.) x = 0
[tex]g(0) = 6(\dfrac32)^0\\g(0) = 6[/tex]
C.) x = 1
[tex]g(1) = 6(\dfrac32)^1\\\\g(1) = 9[/tex]
D.) x = 2
[tex]g(2) = 6(\dfrac32)^2\\\\g(2) = 13.5[/tex]
Hence, the value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.
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The first two terms of an arithmetic sequence are shown below. 1 2 x+2' x+3' ck to task your mistake. Find the third term of this sequence. Give your answer fully factorised. Watch video Answer > The first two terms of an arithmetic sequence are shown below . 1 2 x + 2 ' x + 3 ' ck to task your mistake . Find the third term of this sequence . Give your answer fully factorised . Watch video Answer >
Answers
Answer:
in picture
Step-by-step explanation:
added in the picture
Which quadrilaterals have all of the properties of a parallelogram?
A)rhombus, kite, and trapezoid
B)rhombus, rectangle, and square
C)rhombus, kite, and square
D)rhombus, trapezoid, and rectangle
Answers
the answer is b. rhombus, rectangle, and square
hope this helps.
A group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket costs 32 dollars , so the debt for one ticket is-32 . The tour company adds a 15 dollar fee for the entire order. Including the fee, which number represents the total debt?
Answers
The number that represents the total debt is 303 if the group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet.
What is debt?
It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
We have:
Each ticket costs 32 dollars, so the debt for one ticket is -$32. The tour company adds a 15-dollar fee for the entire order.
A group of 9 pre-orders 9 tickets for a sightseeing tour.
Total cost of 9 tickets = 9×32 = $288
As this group doesn't have money
The debt for the tickets will be = $288
The tour company adds a $15 fee for the entire order.
The total debt for this tour = $15 + $288 = $303
Thus, the number that represents the total debt is 303 if the group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet.
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Given the system of inequalities: 4x – 5y < 1 one-halfy – x < 3 which shows the given inequalities in slope-intercept form? y < four-fifthsx – one-fifth y < 2x 6 y > four-fifthsx – one-fifths y < 2x 6 y > negative four-fifthsx one-fifth y > 2x 6
Answers
The slope- intercept is y> (1-4x) / 5 and y< 2x + 6
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
4x – 5y < 1 and 1/2y – x < 3
Solving
4x – 5y < 1
-5y < 1- 4x
-y < (1-4x) / 5
y> (1-4x) / 5
Now, the second inequality,
1/2y – x < 3
1/2y< 3+x
y< 2x + 6
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Which model best represents the situation
Answers
Answer:
A
Step-by-step explanation:
she worked a total of 34 hours , then
x + y = 34
earnings are $10 per hour babysitting , that is 10x for x hours
$15 per hour for yardwork, that is 15y for y hours
she made a total of $410 , then
10x + 15y = 410
system of equations is
x + y = 34
10x + 15y = 410
Kierran is trying to find the circumference of a circle. He knows that the radius (r) of the circle is 6 feet and that the diameter,
=2
. Which formula should he use?
a. =3.14(2)2
b. =3.14(2)
c. =3.142
d. =3.14(2)
Answers
The formula should he use willl be 3.14(2). Option B is correct.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
Given data;
Radius,r = 6 feet
Diameter,d=2
Circumfererenc,C
The circumferrence of the circle is;
C=πD
C= 3.14 × 2
The formula should he use willl be 3.14(2).
Hence, option B is correct.
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For her class, Mrs. Norman bought 31 student tickets and 32 adult tickets, which cost a total of $854. Mr. Horton spent $837, getting 31 student tickets and 31 adult tickets. What is the price for each type of ticket?
Answers
Answer:
Each student ticket costs $10, and each adult ticket costs $17.
Step-by-step explanation:
Let s represent the cost of a student ticket and a represent the cost of an adult ticket.
31s + 32a = 854
31s + 31a = 837
----------------------
a = 17
31s + 31(17) = 837
31s + 527 = 837
31s = 310, so s = 10
A sum of money is divided among three girls, Rheanna, Kerisha and Anne, in the ratio 2:3:7, respectively. If Anne gets $15
more than Kerisha, what is the value of the total sum that was shared?
Answers
Using proportions, it is found that the value of the total sum that was shared was of $45.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Considering the rates, Anne's and Kerisha's proportions, out of the total value N, are given by:
[tex]A = \frac{7}{2 + 3 + 7}N = \frac{7N}{12}[/tex][tex]K = \frac{3}{2 + 3 + 7}N = \frac{3N}{12}[/tex]The difference is of $15, hence:
[tex]A - K = 15[/tex]
[tex]\frac{7N}{12} - \frac{3N}{12} = 15[/tex]
[tex]\frac{4N}{12} = 15[/tex]
[tex]\frac{N}{3} = 15[/tex]
N = 15 x 3 = 45
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What is the effect on the graph of f(x) = x² when it is transformed to
h(x)=x²-16?
A. The graph of f(x) is vertically compressed by a factor of 7 and
shifted 16 units down.
B. The graph of f(x) is horizontally compressed by a factor of 7 and
shifted 16 units down.
C. The graph of f(x) is vertically compressed by a factor of 7 and
shifted 16 units to the right.
D. The graph of f(x) is horizontally stretched by a factor of 7 and
shifted 16 units to the right.
Answers
The correct answer is option A which is the graph of f(x) is vertically compressed by a factor of 7 and shifted 16 units down.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given functions are:-
f(x) = x²h(x)=x²-16When we plot the graph of the two functions given in the question we will see that the graph of the function F(x) = x²-16 is compressed by the factor 7 and the vertex of the graph shifted to the 16 points down.
Therefore the correct answer is option A which is the graph of f(x) is vertically compressed by a factor of 7 and shifted 16 units down.
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PLEASE HELP
If 2 pounds is equal to 3 dollars, which of the following is incorrect?
A. 11 pounds is 16.50 dollars
B. 28 pounds is 44 dollars
C. 10 pounds is 15 dollars
D. 23 pounds is 34.50 dollars
Answers
Therefore, the incorrect statement is option B, which states that 28 pounds is equal to 44 dollars. The correct value should be 42 dollars.
To determine which statement is incorrect, we can use the given conversion rate of 2 pounds being equal to 3 dollars and evaluate each option accordingly:
A. 11 pounds is 16.50 dollars:
To check this, we can multiply 11 pounds by the conversion rate:
11 pounds * (3 dollars / 2 pounds) = 16.50 dollars
This statement is correct.
B. 28 pounds is 44 dollars:
Using the same calculation:
28 pounds * (3 dollars / 2 pounds) = 42 dollars
This statement is incorrect because 28 pounds would actually be equal to 42 dollars, not 44 dollars.
C. 10 pounds is 15 dollars:
Again, applying the conversion rate:
10 pounds * (3 dollars / 2 pounds) = 15 dollars
This statement is correct.
D. 23 pounds is 34.50 dollars:
Using the conversion rate:
23 pounds * (3 dollars / 2 pounds) = 34.50 dollars
This statement is correct.
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Fireside Flowers has 75 daisies, 60 lililes, and 30 roses. What is the greatest common factor Fireside Flowers can use to divide the flowers into equal groups
Answers
Answer:
3
Step-by-step explanation:
bc im vary smert
Answer:
15
Step-by-step explanation:
Start by factoring each number into primes.
30 = 2 · 3 · 5
60 = 2 · 2 · 3 · 5
75 = 3 · 5 · 5
Look for prime numbers used in all three factorizations and include these common primes in the greatest common factor (GCF).
Since 3 is used at least one time in all three factorizations, the GCF will contain one 3.
Since 5 is used at least one time in all three factorizations, the GCF will contain one 5.
Therefore, the GCF Fireside Flowers can use to divide the flowers into equal groups is 3 · 5 = 15.
Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
1/7 -3(3/7n-2/7)
Answers
The expression 1/7 – 3(3/7n – 2/7) is equivalent to the expression 1 – 9/7n.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ 1/7 – 3(3/7n – 2/7)
On simplifying the expression, we have
⇒ 1/7 – 9/7n + 6/7)
⇒ 1 – 9/7n
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Answer:
-9/7 n + 1
Step-by-step explanation:
On khan
PLEASE PLEASE HELP ME WITH THSI MATH PROBLEM!!!
Answers
Answer:
23
Step-by-step explanation:
area of a trapezoid = 1/2 × (a + b) × h
so, we have
96 = 1/2 × ((4x - 1) + (x + 3)) × 6 = (5x + 2) × 3
32 = 5x + 2
30 = 5x
x = 6
a = 4x - 1 = 4×6 - 1 = 24 - 1 = 23
What are the solutions to the system of equations?
Graph the system of equations to solve.
(−4,2) and (2,−1)
(0,0) and (−4,2)
(0,0) and (0,−2)
(2.9,0) and (−2.9,0)
Answers
Graphically, we will see that the solutions of the system are (−4,2) and (2,−1)
How to solve the system of equations?To solve the system of equations graphically, we need to graph both of the equations and see in which points the graphs intercept.
The graph of the system can be seen below, there you can see that the intercepts are at:
(-4, 2) and (2, -1)
So these are the two solutions of the system of equations.
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the greatest common factor of 6x^2-8+22 is?
Answers
The greatest common factor for the numerical part will be 2.
How to find Greatest common factor?The greatest common factor, as the name implies, is the greatest among all common factors among the quantities given.
We can factorize the quantities in the smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could.
Those will together compose GCF(The greatest common factor).
Given;
[tex]6x^2-8+22[/tex]
Since the expression contains both numbers and a variable part.
For numerical parts 6, -8, 22
The factors are
6 = -6, -3. -2, -1,1, 2, 3 , 6
8 = -8, -4, -2, -1,1, 2, 4, 8
22 = -22, -11, -2, -1,1, 2, 11, 22
The greatest common factor for the numerical part will be 2.
The number part does not contain any common variable factor.
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solve this question - one half x - 18 = 2
Answers
Answer:
x=10
Step-by-step explanation:
What is the image of (-9,3)(−9,3) after a reflection over the y-axis?
Answers
Answer:
(9, 3 )
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
(- 9, 3 ) → (9, 3 )
The difference of the product of 3 and 6 minus the quotant of 6 / 2
Answers
Answer:
Answer:
(3*6) - (6/2) = 15
Step-by-step explanation:
3 and 6 are being multiplied by them selves, and then subtracted by the answer of 6/2.
The answer of the equation is 15.
Step-by-Step Solution:
= (3 * 6) - 6/2
= 18 - 6/2
= 36/2 - 6/2
= (36 - 6)/2
= 30/2
=> 15
The Answer to this Expression is 15.
Explaintion needed.
Answers
Step-by-step explanation:
for straight Line AE:
110° + AČB = 180° ( angles on straight line )
A Č B = 70°
for triangle "A C B"
65° + 70° + x = 180° (sum of angles on triangle)
x = 45°
DO THE SAME THING FOR THE UPPER PART ( straight line A E and triangle A D C) PLEASE GIVE ME BRAINLIEST ANSWER
