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3 years ago

I need help answering this

Mathematics

1 answer:

lana [24]3 years ago

8 0

Answer:

True

Step-by-step explanation:

The angles <wax and <yau are vertical angles and has same measurement.

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Please help me I will give brainlist

grigory [225]

Answer:

please send the whole question.

actually the value of f(x) is missing

8 0

3 years ago

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

Evaluate f(x) = 2|x – 5| for f(–5) and f(0).

Elanso [62]

Answer:

f(–5) = 20, f(0) = 10

Step-by-step explanation:

f(-5):

f(-5) = 2|-5 -5|

f(-5) = 2|-10|

f(-5) = 2(10)

f(-5) = 20

f(0):

f(0) = 2|0 - 5|

f(0) = 2|-5|

f(0) = 2(5)

f(0) = 10

7 0

3 years ago

To budget 15% of his income to savings, how much more money ww ruta

aalyn [17]

Answer:

Step-by-step explanation:

7. 1250 - 1050 = 200 remaining. so $ 200 split evenly between savings and entertainment.....means each gets $ 100.

what percent of her monthly budget will go towards savings ?

100 / 1250 = 0.08 = 8% <==

==================

luke spent 300 of his 375...

what percent did he not use...

(375 - 300) / 375 = 75/375 = 0.2 = 20% was not used <==

6 0

3 years ago

State the domain restriction(s) in interval notation of \displaystyle f\left(g\left(x\right)\right)f(g(x)) given: \displaystyle

DENIUS [597]

Answer:

The interval notation for the domain is $[\frac{23}{3},\infty ]$ .

Step-by-step explanation:

Consider the provided information.

It is given that $\:f\left(x\right)=\sqrt{3x-2},\:\text{ and }\:g\left(x\right)=x-7$

We need to find the value of $f\left(g\left(x\right)\right)$ .

Put the value of g(x) in $f\left(g\left(x\right)\right)$ .

$f\left(g\left(x\right)\right)=f(x-7)$ ....(1)

Now, put x=x-7 in $\:f\left(x\right)=\sqrt{3x-2}$

$\:f\left(x-7\right)= \sqrt{3(x-7)-2}$

$\:f\left(x-7\right)= \sqrt{3x-21-2}$

$\:f\left(x-7\right)= \sqrt{3x-23}$

From equation 1.

$f\left(g\left(x\right)\right)=\:f\left(x-7\right)= \sqrt{3x-23}$

The domain of the function is the set of input values for which a function is defined.

Here, the value of $3x-23$ should be greater or equal to 0 as the square root of a negative number is not real.

Domain= $3x-23\geq0$

$x\geq\frac{23}{3}$

The value of x is all real number greater than $\frac{23}{3}$ .

Hence, the interval notation for the domain is $[\frac{23}{3},\infty ]$ .

7 0

3 years ago