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Ber [7]
3 years ago
12

Use substitution to write an equivalent quadiatic equation ( 3x^2)^2+7(3x +2) -8=0

Mathematics
1 answer:
mezya [45]3 years ago
7 0

Answer:

9x^4+21x+6=0

Step-by-step explanation:

( 3x^2)^2+7(3x +2) -8=0

((3^2)*(x^2)^2)+(7*3x)+(7*2)-8=0

9(x^4)+21x+14-8=0

9x^4+21x+6=0

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WILL MARK BRAINLIST
iren [92.7K]

Answer:

See below.

Step-by-step explanation:

1/2 = shrink by a factor of 1/2.

+7 = moved up 7 units.

8 0
3 years ago
ASAPPP!!!! HELP I WILL GIVE 100POINTS AND BRAINLIST Question 9 (Essay Worth 10 points)
Luda [366]

Answer:

Part A)

The <em>x-</em>intercepts are (-1/4, 0) and (4, 0).

Part B)

The vertex is a maximum because the leading coefficient is negative.

The vertex is (1.875, 72.25).

Part C)

We can plot the zeros and the vertex, and connect them with a curve.

Step-by-step explanation:

The function given is:

f(x)=-16x^2+60x+16

Part A)

To find the <em>x-</em>intercepts of the function, set the function equal to 0 and solve for <em>x: </em>

<em />0=-16x^2+60x+16<em />

We can divide both sides by negative four:

0=4x^2-15x-4

Factor:

0=(4x+1)(x-4)

Zero Product Property:

x-4=0\text{ or } 4x+1=0

Solve for each case:

\displaystyle x=-\frac{1}{4}\text{ or }x=4

Hence, our zeros are:

\displaystyle \left(-\frac{1}{4}, 0\right)\text{ and } \left(4, 0\right)

Part B)

Note that the leading coefficient of our function is negative.

So, our function will be concave down.

Hence, our vertex will be the maximum.

The vertex is given by:

\displaystyle \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

In this case, <em>a </em>= -16, <em>b</em> = 60, and <em>c</em> = 16.

Find the <em>x-</em>coordinate of the vertex:

\displaystyle x=-\frac{(60)}{2(-16)}=\frac{15}{8}=1.875

Substitute this back into the function to find the <em>y-</em>coordinate:

f(1.875)=-16(1.875)^2+60(1.875)+16=72.25

Hence, our vertex is:

(1.875, 72.25)

Part C)

Since we already determined the zeros and the vertex, we can plot the two zeros and the vertex and draw a curve between the three points.

The graph is shown below. Again, to do this by hand, simply plot the three points and connect them with a parabola. If necessary, we can also find the <em>y-</em>intercept.

7 0
3 years ago
Help me please I beg if you can
Virty [35]

Answer: The mean is 3780

Step-by-step explanation:

Mean is found by adding all values and dividing the sum by how many values were added.

4250+4019+3895+3739+3401+3376=22680
22680/6=3780

6 0
2 years ago
What is the order of this from least to greatest. 4.37, 5.844, 5 21/25,117/20
vesna_86 [32]
21/25, 4.37, 5, 5.844, 117/20
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2 years ago
A train traveled 360 miles in 6 hours. how many miles per hour did the train travel?
quester [9]
The train traveled 60 miles per hour since 360 miles divided by 6 hours gives you 60 mph
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3 years ago
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