Answer:
f(x)= (x - 1)^2+2 = 1
Step-by-step explanation:
Write F ( x ) = ( x − 1 ) 2 + 2 as an equation.
y=(x−1)2+2
Use the vertex form, y = a ( x − h )^2 + k , to determine the values of a , h , and k .
a = 1
h = 1
k = 2
Since the value of a is positive, the parabola opens up. Opens Up
Find the vertex ( h , k ) .
(1,2)
Find p , the distance from the vertex to the focus.
[tex]\frac{1}{4}[/tex]
( 1, [tex]\frac{9}{4}[/tex] )
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x = 1
I hope this helps.
What is the quotient of 3/4 1/6?
Answer: 9/2
......................
93 is what percent of 620?
%
Answer:
15%
Step-by-step explanation:
Answer:
15%
Step-by-step explanation:
PLEASE PLEASE PLEASE HELPPP MEEE !!! Identify all of the roots of the function.
f(x) = x3 – 5x2 – 2x + 24
Answer:
4, 3, -2 are the 3 roots of the function
Answer:
-2, 3 & 4
Step-by-step explanation:
The integer roots of the polynomial function f(x)=x^3-5x^2-2x+24f(x)=x
3
−5x
2
−2x+24 can be only among the divisors of free term.
The divisors of free term are:
\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 24.±1,±2,±3, ±4,±6,±8,±12,±24.
Check them:
1. f(1)=1^3-5\cdot 1^2-2\cdot 1+24=18\neq 0f(1)=1
3
−5⋅1
2
−2⋅1+24=18
=0 , 1 is not a root.
2. f(-1)=(-1)^3-5\cdot (-1)^2-2\cdot (-1)+24=20\neq 0f(−1)=(−1)
3
−5⋅(−1)
2
−2⋅(−1)+24=20
=0 , -1 is not a root.
3. f(2)=2^3-5\cdot 2^2-2\cdot 2+24=8\neq 0f(2)=2
3
−5⋅2
2
−2⋅2+24=8
=0 , 2 is not a root.
4. f(-2)=(-2)^3-5\cdot (-2)^2-2\cdot (-2)+24=0f(−2)=(−2)
3
−5⋅(−2)
2
−2⋅(−2)+24=0 , -2 is a root.
5. f(3)=3^3-5\cdot 3^2-2\cdot 3+24=0f(3)=3
3
−5⋅3
2
−2⋅3+24=0 , 3 is a root.
6. f(-3)=(-3)^3-5\cdot (-3)^2-2\cdot (-3)+24=-42\neq 0f(−3)=(−3)
3
−5⋅(−3)
2
−2⋅(−3)+24=−42
=0 , -3 is not a root.
7. f(4)=4^3-5\cdot 4^2-2\cdot 4+24=0f(4)=4
3
−5⋅4
2
−2⋅4+24=0 , 4 is a root.
The cubic function has at most 3 roots, then
Answer: roots of the function are -2, 3 and 4.
15 POINTS!
What is the correct answer for Dean's problem? Explain where he went wrong.
Answer:
The slope is 5/-2.
Step-by-step explanation:
Slope is y1-y2 over m1-m2 (rise over run). The first ordered pair is -2 (m1) and 11 (y1). We then subtract the second ordered pair (4 (m2) and -4 (y2)) from the first.
11 - (-4) = 11 + 4 = 15
-2 - 4 = -6
Remember, slope is rise over run (y over x), so the slope is 15/-6. Now, we must simplify. 15/-6 = 5/-2
Dean went wrong because he thought that slope was run over rise (x over y). If he had switched the two numbers, his answer would have been correct.
48 divided by what equals eight
Answer:
6
Step-by-step explanation:
6 is the answer because 6 times 8 equals 48, so if you divide 48 by 8 then the quotient would equal 6.
The number 48 should be divided by 6 to equal eight is 48 ÷ 6 = 8
To find what number 48 should be divided by to equal eight, we can set up the division equation and solve for the unknown value.
Let's represent the unknown number by 'x':
48 ÷ x = 8
Now, to find the value of 'x,' we can isolate it by performing the inverse operation of division, which is multiplication. We can multiply both sides of the equation by 'x':
x * (48 ÷ x) = x * 8
On the left side, 'x' cancels out with the 'x' in the denominator, leaving us with:
48 = 8x
Next, we can solve for 'x' by dividing both sides by 8:
48 ÷ 8 = 8x ÷ 8
6 = x
Therefore, the number 48 should be divided by 6 to equal eight:
48 ÷ 6 = 8
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helpextra pointseeeeeeeeeeeeee
Answer:
D (12.8)
Step-by-step explanation:
There are ten spaces between 12 and 13, and the point is on the eighth space
Answer:the answer is d.
Step-by-step explanation:
7. To the nearest tenth, what is the square root of 33?
PLEASE HELP WILL MARK BRAINLIEST
Answer:
a. 5 eggs b. 2 eggs every 20 crepes c they will need 2 eggs for every 20 crepes d 5 eggs 8 eggs
Step-by-step explanation:
i have not done this in a while
"The model can be used to solve 6×3.27. Select the partial products from the drop-down lists" i have no clue what to do, can someone explain to me?
Answer:
The partial products are:
18 + 1.2 + 0.42
The sum: 19.62
Step-by-step explanation:
This has to do with understanding what place value is.
3 ones = 3 * 1 = 3
6 * 3 ones = 18
2 tenths = [tex] 2 * \frac{1}{10} = 2*0.1 = 0.2 [/tex]
6 * 2 tenths = 1.2
7 hundredths = [tex] 7 * \frac{1}{100} = 7*0.01 = 0.07 [/tex]
6 * 7 hundredths = 0.42
The partial products are:
18 + 1.2 + 0.42
The sum = 19.62
Answer:
Answer:
The partial products are:
18 + 1.2 + 0.42
The sum: 19.62
Step-by-step explanation:
This has to do with understanding what place value is.
3 ones = 3 * 1 = 3
6 * 3 ones = 18
Step-by-step explanation:
dis. dis i need help with
Answer:
Not a function
Step-by-step explanation:
Doesnt pass a vertical line test!
what is the answer for y=5x + 2
Answer:
This equation is in slope intercept form. Are you asking for the graph or what?
Step-by-step explanation:
I need more information to answer
Jeff earns money mowing lawns. His earnings and hours worked represent a direct variation. He worked for 5 hours and earned $37.50. Determine the constant of proportionality for dollars earned per hours worked and for hours worked per dollars earned.
Answer:
Jeff earns $7.50 dollars per hour
Step-by-step explanation: Just divide $37.50 and 5.
the game of checkers is played on a square board if the length of one side of the board is 4^2 inches what is the are in square inches
Answer:
256
Step-by-step explanation:
\begin{cases}b(1)=16\\\\ b(n)=b(n-1)+1 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ b(1)=16 b(n)=b(n−1)+1 Find the 2^{\text{nd}}2 nd 2, start superscript, start text, n, d, end text, end superscript term in the sequence.
Answer:
17
Step-by-step explanation:
Dont listen to these bums
The second term in the sequence is 17.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
Given the nth term of a sequence to be b(n)=b(n-1)+1, where n is the number of terms of the sequence
If b(1) = 16... (1)
The second term of the sequence is generated for n= 2:
b(n)=b(n-1)+1
b(2)=b(2-1)+1
b(2) = b(1)+1... (2)
Substituting equation 1 into 2
b(2) = b(1)+1
b(2) = 16 + 1 = 17
Hence, The second term in the sequence is 17.
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a, b, c, or d? i need helpsjdndnd
Answer:
d, I think
Step-by-step explanation:
absolute val of 5 is greater than absolute val of 4
Order from least to greatest: 6 squared, -5.25, 3/2 , 5
Answer:
-5.25, 3/2, 5, 36
This grid shows the location of four animals.
Where is Chewy located?
Answer:
We can't see the graph
Step-by-step explanation:
Uhh look at the # points like 123 ya know
Answer:
can't see graph
Step-by-step explanation:
Match each set of numbers with their least common multiple.
288 44 504 84 200 108
27, 12, and 36→______
25 and 8→______
14 and 12→_______
9, 8, and 7→______
22 and 4→______
32, 24, and 18→ _________
L.C.M of 27, 12 and 36 is 108
L.C.M of 25 and 6 is 200
L.C.M of 14 and 12 is 84
L.C.M of 9, 8 and 7 is 504
L.C.M of 22 and 4 is 44
L.C.M of 32, 24 and 18 is 288
What is least common multiple?This the the smallest number that a certain group of numbers can divide without remainder.
Analysis:
The product of 27, 12 and 36 is 11664, which can only be divided by 108.
Therefore 108 is the L.C.M of the numbers.
The product of 25 and 8 is 200 which is only divisible by 200.
The product of 14 and 12 is `168 which is divisible by 84.
The product of 9, 8 and 7 is 504, which is divisible by 504
The product of 22 and 4 is 88 which is only divisible 44
The product of 32, 24 and 18 is 13824 which is only divisible by 288.
In conclusion, The L.C.M of the numbers are 108, 200, 84, 504, 44, 288 respectively.
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what is slope intercept equation of the line below
What is the answer to this?
Answer:
C
High Hopes^^
Barry-
what is the difference between 4x and x4? evaluate both of these expressions when x = 2
Answer:
There is no difference. 4x and x4 are both meaning 4 times x and x times 4
Step-by-step explanation:
If x = 2, then 4 x 2 = 8.
x4 is the same thing
2 x 4 = 8
Note:
When the numbers are there together, without an operation, it means multiplication.
The value of the expression 4x is 8.
The value of the expression [tex]x^4[/tex] is 16.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4x and [tex]x^4[/tex]
For x = 2,
4x = 4 x 2 = 8
[tex]x^4[/tex] = [tex]2^4[/tex] = 2 x 2 x 2 x 2 = 16
Thus,
The values of the expression are 8 and 16.
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Hi.
I need to confirm if I am correct .
Approximate the following numbers to :
(I) 1 s.f (one significant figure)
(II) 2 s.f ( two significant figure)
(III) 3 s.f (three significant figure).
(a). 0.004816
(b). 50.00168
(c). 0.0009812
Answer:
(a)
1 sig: 0.005
2 sig: 0.0048
3 sig: 0.00482
(b)
1 sig: 50
2 sig: 50.
3 sig: 50.0
(c)
1 sig: 0.0010
2 sig: 0.00098
3 sig: 0.000981
Step-by-step explanation:
Significant Figures Rules:
Any non-zero digit is significant.Any trailing zeros after the decimal is significant.Any zeros between 2 significant digits are significant.Zeroes before significant numbers in the decimal place are NOT significant; they are placeholders.(a)
0.004816 - the zeros are placeholders, so they do not count as sig figs.
(b)
50.00168 - the zeros are between 2 significant figures, so they do count as sig figs.
(c)
0.0009812 - the zeros are placeholders, so they do not count as sig figs
2 triángulos congruentes son semejantes
Answer:
Spanish
Teorema: “ Si dos triángulos tienen sus dos ángulos correspondientes congruentes, entonces el tercero también será congruente y los triángulos son semejantes”. Teorema: “ Dos triángulos son semejantes si tienen un ángulo congruente comprendido entre lados proporcionales”.
English
Theorem: "If two triangles have their two corresponding angles congruent, then the third will also be congruent and the triangles are similar." Theorem: "Two triangles are similar if they have a congruent angle between proportional sides."
Step-by-step explanation:
Shontelle has soccer practice on Thursday evening. She has a half hour before practice to work on her math homework and talk to her friends. She has 20 math skill-work questions for homework, and she wants to complete them before talking with her friends. If she can solve three math problems in four minutes when she really focuses with no distractions, how many minutes will Shontelle have left after completing her math homework to talk to her friends.
Answer:
3 1/3 minutes or 3 minutes 20 seconds
Step-by-step explanation:
We can use ratios to see how long it will take her to complete her homework
3 problems 20 problems
----------------- = --------------
4 minutes x minutes
Using cross products
3x = 4*20
3x= 80
Divide by 3
x = 80/3
x =26 2/3 minutes
She has 30 minutes
30 -26 2/3 = 3 1/3 minutes
3 minutes 20 seconds
Solve for x : ax+v=3(x-c)
Answer:
[tex]x=\frac{-3c-v}{a-3};\quad \:a\ne \:3[/tex]
Step-by-step explanation:
--expand--
ax+v=3x-3c
--subtract v from each side--
ax+v-v=3x-3c-v
--simplfy--
ax=3x-3c-v
--subtract 3x from both side--
ax-3x=3x-3c-v-3x
--simplfiy--
--factor--(factor out the x from ax-3)
[tex]x\left(a-3\right)=-3c-v[/tex]
[tex]\frac{x\left(a-3\right)}{a-3}=-\frac{3c}{a-3}-\frac{v}{a-3};\quad \:a\ne \:3[/tex]
[tex]x=\frac{-3c-v}{a-3};\quad \:a\ne \:3[/tex]
<3
Red
Please help me!!!!!!!!!!!!!!!
Answer:
7) (f+g)(x) = 4^x +5x -5
8) (f-g)(x) = 4^x +x +5
Step-by-step explanation:
7) add the two expressions.
(f+g)(x) = f(x) +g(x) = (4^x +3x) +(2x -5)
(f+g)(x) = 4^x +5x -5
__
8) subtract g(x) from f(x).
(f-g)(x) = f(x) -g(x) = (4^x +3x) -(2x -5) = 4^x +3x -2x +5
(f-g)(x) = 4^x +x +5
Which of the following types of numbers is irrational?
A.) a whole number
B.) fractions
C.) the number pi
D.) a decimal that terminates
Answer:
C
Step-by-step explanation:
the definition of an irrational number is an infinite decimal that has no repeating pattern. rational numbers can be converted into fractions.
A is incorrect because a whole number can be converted into a fraction.
ex: 1 is also 3/3
B is incorrect because the definition of a rational number is that it can be converted into a fraction.
D is incorrect because a terminating decimal can be made into a fraction.
ex: 4.5 is also 9/2
D)
Step-by-step explanation:A Irrational number is a decimal that terminates. I hope this helps! Please rate Brainiest!
-Aslina
solve
P
=
144
p
y
P
=
144
p
y
for
p
p
Classify the angle pair as corresponding, alternate interior, alternate exterior, consecutive interior, consecutive exterior, vertical angles, or linear pair.
Answers may be repeated.
∠4 and ∠9\angle4\ and\ \angle9∠4 and ∠9
∠1 and ∠9\angle1\ and\ \angle9∠1 and ∠9
∠1 and ∠12\angle1\ and\ \angle12∠1 and ∠12
∠6 and ∠11\angle6\ and\ \angle11∠6 and ∠11
∠3 and ∠9\angle3\ and\ \angle9∠3 and ∠9
∠2 and ∠12\angle2\ and\ \angle12∠2 and ∠12
∠6 and ∠7\angle6\ and\ \angle7∠6 and ∠7
∠7 and ∠8\angle7\ and\ \angle8∠7 and ∠8
DRAG & DROP THE ANSWER
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Consecutive Interior Angles
Consecutive Exterior Angles
Vertical Angles
Linear Pair
Answer:
Step-by-step explanation:
I need help
At her birthday party, Ms. Willow would not give her age directly. She said, 'If you add the year of my birth to this year, subtract the year of my 25th birthday and the year of my 55th birthday, and then add my present age, the result is 58.
Answer:
69 years
Step-by-step explanation:
Given that:
Let year of birth = x
This year = 2020
Year of 25th birthday = x + 25
Year of 55th birthday = x + 55
Present age = 2020 - x
Hence,
x + 2020 - (x + 25 + x + 55) + (2020 - x) = 58
x + 2020 - (2x + 80) + (2020 - x) = 58
x + 2020 - 2x - 80 + 2020 - x = 58
-2x + 4040 - 80 = 58
-2x + 3960 = 58
-2x = 58 - 3960
-2x = - 3902
x = 1951
Birth year = 1951
,
Hence, age =
2020 - 1951 = 69 years