The graph of a function f is shown below. Use the zeros and the turning points of the graph to find the rule for f.
A.
f(x) = x4 − 8x2 + 16
B.f(x) = −x4 + 5x2 − 4
C.f(x) = x3 + x2 − 4x + 4
D.f(x) = x4 − 5x2 + 4
Answer:
Answer is D
Step-by-step explanation:
Using the zeros of the graph we should have y=0 when we put x=-2, x=-1, x=1, x=2
Only the function on option D works, so the answer is D
Complete the equation of the line through (1,4) (2,2)
The slope- intercept form of the equation of a line is : y = mx + b
The slope is represented by m and the y-intercept is represented by b.
You can use the coordinates of the two points to find the slope:
m = (y 2 - y 1)
(x 2 - x 1)
For this problem:
m = (4 - 2 ) = 2
(1 - 2) -1
To determine the y-intercept , substitute the coordinates of either point into the slope-intercept equation using a slope of -2:
y = mx + b
y = -2 • x + b
Using (1,4):
4 = -2 • 1 + b
4 = -2 + b
b = 6
The equation of the line will be : y = -2•x + 6
Can someone help me out?
Answer:
do I solve it or what am I supposed to do
Answer:
y=6
Step-by-step explanation:
Calculator
The graph of a proportional relationship contains the point (-12, 3)
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.
y =
Tor
Answer:
[tex]\displaystyle y=-\frac{1}{4}\ x[/tex]
Step-by-step explanation:
Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality.
The value of k can be calculated if we know a point (x,y) that belongs to the graph. Substituting the point (-12,3):
3 = -12k
Solving for k:
[tex]k=-\frac{3}{12}=-\frac{1}{4}[/tex]
Thus, the corresponding equation is:
[tex]\boxed{\displaystyle y=-\frac{1}{4}\ x}[/tex]
what is the ratio of the area of the larger pizza to the area of the smaller pizza ? choices are 2,3,4, and 9 .
please help me! here’s a picture
Answer:
I would think the answer is 28?
im not really that sure
What's the square root of 689976??? Please help
why wont it let me say anything
Answer:
409
Step-by-step explanation:
786 + 32 = 818
818 ÷ 2 = 409
can someone please help me
I don’t know how to do this,someone please help,and explain maybe
Answer:
I can explain. look at variables (letters) ..7,2,3 in back of numbers. With this numbers it's an x. In front of 7x its a - or +. It tells you to either subtract or add...7x°-2x°+2x°-3. Start with 7x minus 2°, minus 2°, plus two & at end subtract 3
What is the slope of the line that passes through (4, 12) and (5, 16)?
Answer:
8/10
Step-by-step explanation:
The rise on the y axis is eight and the run on the x axis is 10
(Hope this helped)
The length of a rectangle is five times its width.
If the perimeter of the rectangle is 84 m, find its length and width.
Answer:let
Length =L
Width =W
L=5W
Perimeter(p)=2L+2W
P=10W+2W
84=12W
Divide both sides by 12
W=7m
L=5*7=35m
Hence, the length and width are 35m and 7m respectively
Step-by-step explanation:
Identify the correct Triangle Congruence Theorem that describes the figure below.
A. SSS
B. SAS
C. AAS
D. HL
E. ASA
[tex]\tt{PQ=TS }[/tex]
[tex]\tt{ PW=TW }[/tex]
[tex]\tt{ QW=SW }[/tex]
SO,
it is S-S-S
side-side-side
help please. oh i need it
Answer:
6
Step-by-step explanation:
6*6*6 = 216
the length of a rectangle is four times its width. if the perimeter of the rectangle is 70in, what would be its length and width...
Answer:
length- 28 width- 7
Step-by-step explanation:
7 times 4 is 28, so 28 times 2 is 56, 7 times 2 is 14, 56+14 is 70
A new book store is selling new books for $16 a book and used books for $4.75 a book. A customer wants to purchase two new books and X used books what equation can be used to find y the total cost of all books the customer wants to buy?
16 + 16 = 32
X * 4.75 = ?
32 + X = Y
You would add 16 plus 16 because there are TWO new books being bought, you multiply however many used books there are (X) by 4.5 then add that answer to 16+16, solve that, and you have your answer = Y
Hope this helps ^-^
Find the difference, radicals plz help:(
Answer:
-2 radical 5 the second one
Hudson needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 3.25 hours and charged him $71 for parts. The total was $282.25. What was the cost of labor, per hour?
Answer:
$65/hr
Step-by-step explanation:
282.25 - 71 = 211.25
211.25 / 3.25
Four out of six dogs weigh less than 50 pounds. What is the decimal equivalent for the number of dogs weighing under 50 pounds?
Answer:
0.667
Step-by-step explanation:
10.5 + 3.5 /2 i need help
Answer:
12.25
Step-by-step explanation:
Remember PEMDAS!!
You would divide 3.5 to 2 first which is 1.75, then add 10.5 and 1.75 which equals 12.25.
P = ( )
E = exponents
M/D = Multiply/Divide
A/S = Add/Subtract
Answer:
10.5 + 3.5
--------------- = 7
2
what is the solution of x in 2-3(6-2x)=1/2(10x-8)
Answer:
answer is 12
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The revenue for a small business is modeled by the function R(x) = 5x where represents the number of items soldThe cost function is C(x) = 10 + 2x What function represents the business's profit function P(x) = (R - C)(x) ?
Answer:
[tex]P(x) = 3x - 10[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 5x[/tex]
[tex]C(x) = 10 + 2x[/tex]
Required
Determine [tex]P(x) = (R - C)(x)[/tex]
In functions;
[tex](f - g)(x) = f(x) - g(x)[/tex]
So, we have:
[tex]P(x) = (R - C)(x)[/tex]
[tex]P(x) = R(x) - C(x)[/tex]
Substitute values for R(x) and C(x)
[tex]P(x) = 5x - (10 + 2x)[/tex]
Open bracket
[tex]P(x) = 5x - 10 - 2x[/tex]
Collect Like Terms
[tex]P(x) = 5x - 2x- 10[/tex]
[tex]P(x) = 3x - 10[/tex]
Help please.
Algebra.
Answer:
7) C.
8) B.
should be the answers
Step-by-step explanation:
45% of a number is 34. Find the number.
if you could explain that would be great thx!!!
Step-by-step explanation:
45% of number = 34
100% of number = 34 * (100/45) = 680/9.
The number is 680/9.
Which table represents a nonlinear function?
Answer: c
Step-by-step explanation:
The lengths of the side of a triangle are 14 inches, 10 inches , and 8 inches. If the length of the shortest side of a similar triangle if 4 inches, the length of the longest side of the similar triangle is
Answer:
The longest length of the similar triangle is 7 inches
Step-by-step explanation:
If two triangles are similar, the ratio of their sides are equal
We shall be working the shortest and longest side of both
What we have here will be that;
The shortest length/ the longest length ratio in both triangles will be the same
Let the longest side of the similar triangle be x
8/14 = 4/x
8x = 4 * 14
x = (4 * 14)/8
x = 7 inches
Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x = -1
Answer:
y = 3
Explanation:
Any equation of a line that is written as x = # (meaning x equaling whatever number) is vertical on the graph. Therefore, x = -1 is a vertical line. And since x equals -1, all the points on the graph must have an x-value of -1.
We need to find a line that is perpendicular to it - and what would be perpendicular to a vertical line would be a horizontal line. Horizontal lines are represented by the equation y = # (meaning y equaling whatever number). Whatever number is written there is the y-value of all the points the horizontal line intersects.
We know that the line has to pass through (2,3). Therefore, take the y-value of that point - which is 3 - giving us y = 3.
Answer:
w
Step-by-step explanation:
w
Solve the system by using substitution show work
2x - y = 5
x = y-1
Please Help! Determine the measures of the missing sides and angles for the triangle
Answer
Estoy triste y nadie me quiere. Y nadie habla español en brainly.com.
Find the value of x.
30
30
Answer:
30
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