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3 years ago

4x^9y^-4 / x^8y^-6 Evaluate the expression for x = 5 and y = 2. ху

Mathematics

1 answer:

kramer3 years ago

3 0

Answer:

Step-by-step explanation:

SIMP - lifiy the equation: (see what I did there :D)

4xy^2 = 4(5)(2^2) = 80

ANSWER: 80

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If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo

amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

$(f \circ g)(x) = f(g(x))$

In this case:

$f(x) = 4x^2 - 8x - 20$

$g(x) = 2x + a$

$(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20$

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when $x = 0, f(g(x)) = 25$ . So

$4a^2 - 8a - 20 = 25$

$4a^2 - 8a - 45 = 0$

Solving a quadratic equation, by Bhaskara:

$\Delta = (-8)^2 - 4(4)(-45) = 784$

$x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5$

$x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5$

The possible values are a = -2.5 or a = 4.5.

5 0

3 years ago

F(x) = x5 + 5x4 - 5x3 - 25x2 + 4x + 20

Pie

Answer:

-4(5-x)

Step-by-step explanation:

6 0

3 years ago

52 998 x 67 = (1,000 - 998) x 67

Tresset [83]

Given:

$\to \bold{52,998 \times 67 = (1,000 - 998) \times 67}$

To find:

Proving

Solution:

$\to \bold{52,998 \times 67 = (1,000 - 998) \times 67}$

Solving L.H.S part:

$\to \bold{52,998 \times 67}\\\\\to \bold{3,550,866}\\\\$

Solving R.H.S part:

$\to \bold{(1,000 -998) \times 67}\\\\\to \bold{(2) \times 67}\\\\\to \bold{ 134 }\\\\$

Therefore $\bold{L.H.S \bold{\neq} R.H.S}$

Learn more:

brainly.com/question/24706365

8 0

2 years ago

Please help!!! I will give brainliest to the person who explains it

artcher [175]

Since we know the degrees of the circle is 360, add all of the pieces together and set equal to 360
Solving you get x = 15.
When plugging 15 back into each expression we get 90, 160, and 110.
This means the triangle sides are all different so the triangle is scalene.

3 0

3 years ago

8(-2x+1)=30-(-4+3x)<br><br> solve for x

Fittoniya [83]

Answer:

-2

Step-by-step explanation:

8 (-2x + 1) = 30 - (-4 + 3x) Distribute

-16x + 8 = 30 + 4 - 3x Combine like terms

-16x + 8 = 34 - 3x Rearrange terms

-13x = 26 Divide by -13 on both sides

x = -2

4 0

2 years ago

Read 2 more answers