which equation could represent each graphed polynomial function
PLEASE HELP FAST!!!
Answers
Answer:
y = x⁴- 5x² + 4
y = x(x + 3)(x - 2)
Step-by-step explanation:
1). y = x⁴- 5x² + 4
= x⁴- 4x² - x² + 4
= x²(x² - 4) - 1(x²- 4)
y = (x² - 1)(x² - 4)
y = (x - 1)(x + 1)(x - 2)(x + 2)
Therefore, zeros of this polynomial are,
x = -2, -1, 1, 2
From the given graphs, first graph has the zeros (x-intercepts) as x = -2, -1, 1, 2.
So the graph (1) represents the polynomial → y = x⁴- 5x² + 4
2). Second graph shows the x-intercepts at x = -3, 0, 2
Since, y = x(x + 3)(x - 2) is the polynomial with x intercepts at x = -3, 0, 2
Therefore, y = x(x + 3)(x - 2) represents the second graph.
Related Questions
What does m represent in the equation y= mx + b?
none of these
the slope of the graph of
y = mx + b
the y-intercept of the
graph of y = mx + b
the run in the ratio
rise
run
Answers
[tex]y=mx+b[/tex]
where m is slope
and b is y-intercept
In a two-digit number, the tens digit is 5 less than the units digit. The number itself is five more than three times the sum of its digits. What is the number?
Answers
The tens digit is 3 and the unit digit is 8. So, the number is 38.
Important information:
The tens digit is 5 less than the unit digit.The number itself is five more than three times the sum of its digits. System of equations:Let x be the tens digit and y be the unit digit.
The tens digit is 5 less than the unit digit.
[tex]x=y-5[/tex] ...(i)
The number itself is five more than three times the sum of its digits.
[tex]10x+y=3(x+y)+5[/tex]
[tex]10x+y-3x-3y=5[/tex]
[tex]7x-2y=5[/tex] ...(ii)
Using (i) and (ii), we get
[tex]7(y-5)-2y=5[/tex]
[tex]7y-35-2y=5[/tex]
[tex]5y=40[/tex]
[tex]y=8[/tex]
Substitute this value in (i).
[tex]x=8-5[/tex]
[tex]x=3[/tex]
Therefore, the number is 38.
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Can I get help ASAP ... please
Answers
Answer:
the answer is D I'm sorry if it wrong
colin rolls a fair dice 18 time, how many times would colin expect to roll an odd number?
Answers
Answer:
9
Step-by-step explanation:
a normal dice is 6 sides
half of 18 is 9
50% for odd and even
Answer:
9 times
Step-by-step explanation:
Because you have an equal chance of rolling an odd or even number on the die. So half of 18 is 9.
Have a great day, would love it if you would mark me brainliest!
Jalissa works 20 hours a week while she is attending college. She desides that she needs to put a little more time into her studies, so she reduces her hours by 15%. How many hours is Jalissa now working?'
Answers
Answer:
It should at least be 17 forgive me if I'm wrong
Step-by-step explanation:
Answer:
17 hours
Step-by-step explanation:
15 percent of 20 hours is 3 hours. 20 - 3 = 17 so the answer is she is now working 17 hours.
Help!!!!! Using the elimination method, what can you multiply the first equation by in order to eliminate "x"?
A. -4
B. 4
C. 5
D. 3
Answers
if you multiply -2 by 4 it will be -8x which is an additive inverse of 8x.
2(x+5) = ?
What the answer to this question
Answers
Answer:
2x+10
Step-by-step explanation:
Expand by distributing terms.
2x+2×5
Simplify 2x5 to 10
answer 2x+10
Identify the terms and like terms in the expression.
1. 3x + 4 – 7x - 6
Answers
Terms: 3x, 4, –7x, –6
There are two kinds of like terms:
3x and –7x
4 and –6
Like terms: 3x-7x
What is the slope of the line that passes through the pair of points? (4.7).(7,-2)
Answers
Answer:
-3 i hope this helps :)
Step-by-step explanation:
(4,7) (7,-2)
x1 y1 x2 y2
-2 - 7 = -9 = -3
7 - 4 3
Simply the expression (4-2i)-(-1+3i)
Answers
Answer:
224
Step-by-step explanation:
first correct answer gets brainliest
Find the slope of the line that passes through the pair of points. (0, 5) and (6, 2)
-2
2
-1/2
1/2
Answers
Answer:
the third one -1/2
Step-by-step explanation:
hxudcufj ydhvhdcudfib
help? ill mark brainlest
Answers
Answer:
Step-by-step explanation:
is x ≤ -19 for inequality notation
**A lady came to the market to sell eggs. Her first customer bought 1 2 of all her eggs and 1 2 of an egg. Her second customer bought 1 2 of all the remaining eggs and 1 2 of an egg. Finally, a third customer bought 1 2 of all of her remaining eggs and 1 2 of an egg. At this point she had sold all of the eggs she had brought to the market so she went home. How many eggs did the lady have when she first came to the market?
Answers
Answer:
She had 7 eggs when first went into the market
Step-by-step explanation:
Three times multiply 1/2 and minus 1/2 until you get zero.
7 x 1/2 - 1/2 = 3
3 x 1/2 - 1/2 = 1
1 x 1/2 - 1/2 = 0
Answer:
7
Step-by-step explanation:
You exercise 24 hours each month for a year how many hours did you exercise by the end of the year you may be able to do the math mentally thanks to expand notation and the distributive property
Please help answer with the calculation with distribution and without distribution.
Answers
Answer:
288 hours
Step-by-step explanation:
So you have 24 per month. so month can be represented by x.
24x= y
Y is the amount of hours.
One year is 12 months. so plug 12 into x
24(12) =y
y= 288
through (1, 2), slope = 7
Write the equation of a line in slope-intercept and standard form.Given 1 point and a slope
Answers
Answer:
The equation of line is as follows:
Slope-intercept form: [tex]y = 7x-5[/tex]
Standard Form: [tex]-7x+y = -5[/tex]
Step-by-step explanation:
Given that
Slope of line: 7
Point : (1,2)
Slope-intercept form of equation of line is given by:
[tex]y = mx+b[/tex]
Here m is the slope and b is y-intercept.
Putting the value of slope
[tex]y = 7x+b[/tex]
To find the value of b, we have to put the point in the equation
[tex]2 = 7(1) +b\\2 = 7+b\\2-7 = b\\b = -5[/tex]
So the equation will be:
[tex]y=7x-5[/tex]
The standard form of equation of line is:
[tex]Ax+By = C[/tex]
To convert the equation in standard form, subtracting 7x from both sides
[tex]y-7x = 7x-5-7x\\-7x+y = -5[/tex]
Hence, the equation of line is as follows:
Slope-intercept form: [tex]y = 7x-5[/tex]
Standard Form: [tex]-7x+y = -5[/tex]
The equation of a line in slope-intercept and standard form through (1, 2), slope = 7 is 7x - y = 5.
To find the equation of a line in slope-intercept and standard form.
First, we can write the equation in point-slope form. The point-slope formula states:
(y − y₁) = m (x − x₁)
Where m is the slope and
(x1, y1) is a point the line passes through.
Substituting the values from the problem gives:
(y − 2) = 7(x − 1)
Now, we need to convert to standard form.
The standard form of a linear equation is:
Ax + By = C
where, if at all possible,
A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1
We convert as follows:
y − 2 = (7 × x) − (7 × 1)
y − 2 = 7x − 7
−7x + y − 2 = − 7
Adding 2 in both side.
−7x + y − 2 + 2 = − 7 +2
-7x + y = -5
7x - y = 5
Therefore, the equation of a line in slope-intercept and standard form is 7x - y = 5.
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katiyln and lewis share sweets in the ratio 7:1 if katliyn geta 21 sweets how many does lewis get
Answers
Answer:
Step-by-step explanation:
Given Katiyln and lewis share sweets in the ratio =7:1
katliyn gets= 21 sweets
share of katiyln sweet =7x
share of Lewis sweet =X
So 7x=21 given
X=21/7
X=3
So Lewis gets x =3 sweets.
Solve the following eqation
34 + 12x =3x - 22
Answers
Answer:
x = - 6.22 or - 56/9
Step-by-step explanation:
Step 1:
34 + 12x = 3x - 22 Equation
Step 2:
12x = 3x - 56 Subtract 34 on both sides
Step 3:
9x = - 56 Subtract 3x on both sides
Step 4:
x = - 56 ÷ 9 Divide
Answer:
x = - 6.22
Hope This Helps :)
4. Il m23 - 54º, find each measure,
a. m21
1. m27 -
km212
2
3
12
13
bm22
g. m28
1 m213 =
5
11
6
14
c. MZ4=
h. m29 =
m. m214 =
8
2
d. m25 -
10
1 m210 =
e. m26 =
JmZ11 =
Answers
Answer:
m (1) =36
m ( 2 ) = 90
m ( 4) = 36
m (5) = 90
m ( 6 ) = 54
m (7) = 126
m (8) = 54
ml9) = 126
m (l0) =, 54
m (II) =36
m (12 ) = 144
m (13) = 36
m (14) = 144
HELP PLEASEEE I NEED HELP QUICK
Which of the following are properties of a perfect square trinomial? Select all
that apply.
A. The first and third terms must be perfect squares.
B. Neither of the perfect
squares can have a minus sign.
C. If the perfect square terms are A2 and B2 then the other term
must be 2 AB or -2AB.
D. None of the above is a property of a perfect square trinomial.
Answers
Answer:
C) If the perfect square terms are A^2 and B^2 and other terms must be 2 AB and -2AB
Step-by-step explanation:
As,
[tex](a^2+2ab+b^2)=(a+b)^2\\(a^2-2ab+b^2)=(a-b)^2[/tex]
Answer:
A, B and CStep-by-step explanation:
The Perfect Squares are the squares of the integers
Perfect square trinominal is: a² ± 2ab + b² {which is (a±b)²}
So:
The first and third terms must be perfect squares and neither of the perfect squares can have a minus sign and If the perfect square terms are A2 and B2 then the other term must be 2AB or -2AB
Nov 06, 7:43:52 PM
Which equation represents a line which is parallel to the line y =
= -x - 8?
O 8x + 3y = -6
O 8x – 3y = 3
Submit Answer
8y - 3x = -48
3x + 8y = 48
O
Answers
Answer:
8x-3y=3
Step-by-step explanation:
Its the only one that would give you a negative x
Tommy and 6 of his friends brought 12 1/4 pounds of Jolly Ranchers $1.20 a pound. If the cost of the Jolly Ranchers is divided evenly among Tommy and his 6 friends, how much will each person pay? (Help me please ;-;)
Answers
Answer:
$2.10
Step-by-step explanation:
To find the total cost, multiply.
12.25*1.20 = 14.7
Tommy and 6 of his friends means 7 people.
Cost per person will be:
14.7/7 = 2.1
The local newspaper has letters to the editor from 50 people. If this number represents %8 of all of the newspaper's readers, how many readers does the newspaper have?
Answers
Answer:
625 is the correct answer :)
Step-by-step explanation:
hope this help
The newspaper has 625 readers.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
8% = 50 people
Multiply 100/8 on both sides,
100% = 100/8 x 50 people
100% = 625 people
Thus,
There are 625 readers.
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Which of the following steps will speed up the reaction between a baking soda solution and a calcium chloride solution in a beaker?
Keep the beaker in a freezer.
Keep the beaker in sunlight.
Pour the solutions into a flat dish.
Pour the solutions into a narrow test tube.
Answers
Answer: Indeed It is b
Step-by-step explanation:
Which congruency statements could be correct for the figures? Check all that apply. MNOP ≅ STUV MNPO ≅ TSVU NPOM ≅ VUTS OPNM ≅ TUVS PONM ≅ UTSV
Answers
Answer:
The answers are C and D
Step-by-step explanation:
Answer:
c and d
Step-by-step explanation:
have a wonderful day
Find the measurement of 1 and 2
Answers
Answer: 1 is 120 and 2 is 60
Step-by-step explanation:
If a ∥ b and e ∥ f, what is the value of y?
87
88
91
92
Answers
Answer:
88 i believe
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
Angle (x+1) is equal to 92 degrees, and x equals 91. If x equals 91, then (x+1) equals 92. (x+1) and angle y are equal angles, so therefore, you can determine that angle y is equal to 92 degrees.
-I got the question right on the test
Hope this helps!
A set of average city temperatures in October are normally distributed with a mean of
20.
6
∘
C
20.6
∘
C20, point, 6, degrees, start text, C, end text and a standard deviation of
2
∘
C
2
∘
C2, degrees, start text, C, end text.
What proportion of temperatures are between
1
8
∘
C
18
∘
C18, degrees, start text, C, end text and
20.
6
∘
C
20.6
∘
C20, point, 6, degrees, start text, C, end text?
Answers
Answer:
0.4032
Step-by-step explanation:
Make x the subject of formula x²/a²+y²/b²=1
Answers
Answer:
x = ± [tex]\sqrt{\frac{a^2b^2-a^2y^2}{b^2} }[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2}{a^2}[/tex] + [tex]\frac{y^2}{b^2}[/tex] = 1
Multiply through by a²b² to clear the fractions
b²x² + a²y² = a²b² ( subtract a²y² from both sides )
b²x² = a²b² - a²y² ( divide both sides by b² )
x² = [tex]\frac{a^2b^2-a^2y^2}{b^2}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{a^2b^2-a^2y^2}{b^2} }[/tex]
In formula x²/a²+y²/b²=1
Value of x as subject, x = ± [a√(b² - y²)]/b
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.
Given equation,
x²/a² + y²/b² = 1
moving y²/b² to right side
x²/a² = 1 - y²/b²
multiplying a² on both sides
a². x²/a² = a². 1 - a². y²/b²
Simplifying
x² = a² - a²y²/b²
x = ± √(a² - a²y²/b²)
x = ± a√(1 - y²/b²)
x = ± [a√(b² - y²)]/b
Hence, value of x = ±[a√(b² - y²)]/b in formula x²/a² + y²/b² = 1
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HELP ASAP PLEASE THANKS! :))
Answers
Answer:
I believe the answer is p = -7/5
Step-by-step explanation:
Here's the equation and the workthru of my logic:
-5 (p + 3/5) = -4
Divide both sides by -5 to remove the -5 from the left side of the equation,
p + 3/5 = -4/5,
Subtract 3/5 from both sides to solve for p,
p = -4/5-3/5
p = -7/5
Solution is -7/5
Hope this helps.
Good luck!
Jason is five years older than Becky, and the sum of their ages is 23. What are their
ages?
