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3 years ago

12

Solve the equation for x

e="4x {}^{2} - 36 = 0" alt="4x {}^{2} - 36 = 0" align="absmiddle" class="latex-formula">
A.No solution
B.3,-3
C.3
D.9

1 answer:

gtnhenbr [62]3 years ago

5 0

Answer:

B) 3, -3

Step-by-step explanation:

The solution is in the picture

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a rhombus as an area of 72 ft and the product of the diagonals is 144. What is the length of each diagonal?

SashulF [63]

A = (1/2)(x)(y)

Let x = diagonal 1

Let y = diagonal 2

The product of xy = 144.

This means that x = 12 and y = 12.

So, 12 • 12 = 144

Each diagonal is 12 feet.

Prove:

72 feet = (1/2)(12)(12) feet

72 feet = (1/2)(144) feet

72 feet = 72 feet

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Step-by-step explanation:

140/70=2 Therefore, 1 apple equals 2 percent

The remaining 30 percent times 2 equals 60

60 apples plus 140 apples equals 200 apples

Answer B

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3 years ago

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Sara is ordering t-shirts for her school. Sally's Shirt Shop charges $8.50 for each shirt and a one-time set up fee of $60. Shau

tensa zangetsu [6.8K]

Answer:

A ) 8.50x + 11 < 24x + 60

B ) 8.50x + 24 < 11x + 60

C ) 11x + 24 < 8.50x + 60

D ) 8.50x + 60 < 11x + 24

Step-by-step explanation:

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3 years ago

Use the table to determine the degree of the power function.

valkas [14]

9514 1404 393

Answer:

3

Step-by-step explanation:

The x-values in the table are evenly-spaced, so we can determine the degree of the function by looking at successive differences of the f(x) terms.

f(x): -23, -4, 3, 4, 5, 12, 31

first differences: 19, 7, 1, 1, 7, 19

second differences: -12, -6, 0, 6, 12

third differences: 6, 6, 6, 6

The third differences are constant, so the function values can be matched by a <em>third degree</em> polynomial.

_____

<em>Additional comment</em>

The first differences are found by subtracting the function value from the next one. Likewise, the second differences are found by subtracting each first-difference value from the next one. An so on for the third differences.

The level at which the differences are constant is the degree of the polynomial that will match the function values. (Compare this to what you know about an arithmetic sequence, where first differences are constant and the sequence is described by a linear (degree 1) equation.)

5 0

3 years ago

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