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Lubov Fominskaja [6]
2 years ago
11

i need to know whether it is the minimum or maximum function and what that number is as well as where x axis intercepts the quad

ratic graph . i need to know if there are any roots in the quadratic graph, and i need to know when y=1 , the value of x could be x= or x=

Mathematics
1 answer:
NISA [10]2 years ago
7 0

Answer:

The minimum value of this quadratic function is -4.

At the point (-4, 0), the x-axis intercepts with the quadratic graph.

There is 1 root of this quadratic equation.

Approximately, when y=1, the x value could be -5 or -3.

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Fuel x costs $2 per gallon and fuel y costs $3 per gallon. You have at most $18 to spend on fuel. Write a system of linear inequ
Sloan [31]

The answer is :

x + y ≤ 14

2x + 3y ≤ 18

3 0
3 years ago
Find and simplify the difference quotient of the form<img src="https://tex.z-dn.net/?f=%5Cfra%5Cfrac%7Bf%28x%29-f%28a%29%7D%7Bx-
Ilia_Sergeevich [38]

Answer: 3x + 13

Step-by-step explanation:

f(x)=3x^2+x\\f(a)=3a^2+a\\f(4)=3*4^2+4=52\\\\f(x)-f(4)=3x^2+x-52=(x-4)(3x+13)\\\\\dfrac{f(x)-f(4)}{x-4} =\dfrac{3x^2+x-52}{x-4} \\\\if\ x \neq 4\ then \\\\\dfrac{f(x)-f(4)}{x-4} =\dfrac{(x-4)(3x+13)}{x-4} \\\\=3x+13\\

6 0
2 years ago
Read 2 more answers
What is the linear equation for figuring out the daily pay rate for working 8 hrs a day at a pay rate of $20 hour?
kupik [55]
<span>$20 per hour

</span><span>8 hrs a day

</span>daily pay rate = $20 x 8 = $160<span>

</span>
4 0
3 years ago
A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t
yan [13]
<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides

<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles

<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

3 0
3 years ago
Read 2 more answers
√44 is between what 2 numbers?<br><br> A.4 and 5<br> B.5 and 6<br> C.6 and 7<br> D.7 and 8
Gemiola [76]
I believe the answer is C.

6 0
3 years ago
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