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Akimi4 [234]
3 years ago
11

I WILL MARK BRAINLIEST

Mathematics
1 answer:
Roman55 [17]3 years ago
8 0

Answer:

the second one

slope is negative go down one right 2

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HELP!
maksim [4K]

<u>Part A</u>

<u />4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3

So, the x-intercepts are \boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}

<u>Part B</u>

The vertex will be a minimum because the coefficient of x^2 is positive.

The x-coordinate of the vertex is x=-\frac{-7}{2(4)}=\frac{7}{8}

Substituting this back into the function, we get f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}

So, the coordinates of the vertex are \boxed{\left(\frac{7}{8}, -\frac{289}{16} \right)}

<u>Part C</u>

Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.

The graph is shown in the attached image.

7 0
2 years ago
Pls help me in this question
kari74 [83]

Answer:

3

Step-by-step explanation:

since the diagonal are equal in length

6x-8=2x+4

4x=12

x=3

4 0
3 years ago
A sphere has a radius of 11 feet. A second sphere has a radius of 8 feet. what is the difference of the volume of thespheres
Veronika [31]

The difference between the volume of the spheres is 3428.88 cubic feet

Explanation:

Given that one sphere has a radius of 11 feet.

A second sphere has a radius of 8 feet.

<u>Volume of the 1st sphere:</u>

The formula to determine the volume of the sphere is given by

V=\frac{4}{3} \pi r^3

Volume of the 1st sphere is given by

V=\frac{4}{3}(3.14)(11)^3

V=\frac{4}{3}(3.14)(1331)

V=\frac{16717.36}{3}

V=5572.45

The volume of the 1st sphere is 5572.45 cubic feet.

<u>Volume of the 2nd sphere:</u>

Volume of the 2nd sphere is given by

V=\frac{4}{3}(3.14)(8)^3

V=\frac{4}{3}(3.14)(512)

V=\frac{6430.72}{3}

V=2143.57

The volume of the 2nd sphere is 2143.57 cubic feet.

<u>Difference between the volume of the two spheres:</u>

Difference = Volume of the 1st sphere - Volume of the 2nd sphere

                  = 5572.45 - 2143.57

Difference = 3428.88 cubic feet.

Hence, the difference between the volume of the spheres is 3428.88 cubic feet.

7 0
3 years ago
Amelia competed in a race in which she ran at a constant speed. A graph that represents the relationship between the number of s
Zolol [24]

Answer:

B (3, 13.5)

Step-by-step explanation:

Using point (0,0) and (15, 67.5) we can find the slope(gradient).

(y - y¹) / (x - x¹) = (67.5 - 0) / (15 - 0)

= 67.5 / 15 = 4.5

slope = 4.5

using the point given in option A (0, 4.5) with point (15, 67.5) to calculate the slope it gives 4.2 which is not equal to what we calculated.

using the option B (3, 13.5) with (15, 67.5) gives a slope of 4.5 which is equal to the slope of the line.

3 0
3 years ago
What is the value of x?<br> 5x+11°<br> 119°
frutty [35]

Answer:

21.6

Step-by-step explanation:

119 = 5x + 11

119 - 11 = 5x

108 = 5x

108÷5 = x

21.6 = x

hope this helped you.

please give me brainliest.

thank you and have a great day ahead :D

8 0
3 years ago
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