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3 years ago

Two functions are shown in the table below.

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

8 0

Answer:

$(d)\ x = 4$

Step-by-step explanation:

Given

$f(x) = -x^2 + 4x + 12$

$g(x) = x + 8$

Required

Find x such that: $f(x) = g(x)$

This gives:

$-x^2 + 4x + 12 = x+8$

Collect like terms

$-x^2 + 4x -x + 12 -8=0$

$-x^2 + 3x +4 =0$

Expand

$-x^2 + 4x - x+4 =0$

Factorize

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

Factor out x - 1

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

Solve:

$x =1\ or\ x = 4$

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Mr. Chen writes the expression 4 ×

telo118 [61]

Answer:

4*(7-2)2÷10

=4*5*1/5

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Step-by-step explanation:

3 0

3 years ago

Solve 4x + 13 >15<br> PLEASE HELP!!!

omeli [17]

Try .2 and see if it works.

7 0

2 years ago

Read 2 more answers

1. Let C be between D and E. Use the Segment addition Postulate to solve for v.

AURORKA [14]

By applying the segment addition postulate, the <u>value of v = 7</u>

According to the Segment Addition Postulate, it holds that if point C is between points D and E, therefore:

DC + CE = DE

Given that:

$DC = 2v-15\\\\CE = 3v-8\\\\DE = 27$

Therefore, by substitution, we will have the following equation:

$(2v-15) + (3v-8) = 27$

Open the bracket and solve for the value of v.

$2v-15 + 3v-8 = 27$

Add like terms

$5v - 23 = 27$

Add 23 to both sides

$5v - 23+ 23 = 27 + 23\\\\5v = 50$

Divide both sides by 5

v = 10

Therefore, using the segment addition postulate, the <u>value of v = 10</u>

Learn more about the segment addition postulate here:

brainly.com/question/1721582

7 0

2 years ago

I need help on this 2 problems please help

daser333 [38]

<h3>Answer:</h3>

7) 0.76 is a rational number

8) The list of favorable outcomes is {orange pop #1, orange pop #2}.

<h3>Step-by-step explanation:</h3>

7) The product 0.4 × 1.9 is 0.76. This is not an integer, whole number, or natural number. It is a decimal fraction of finite length, so is a rational number.

___

8) Often, a problem of this sort will ask for the probability of an orange pop outcome. This problem doesn't ask that. Rather it asks what the possible orange pop outcomes are. Drawing one orange pop from the box will give you one of ...

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orange pop #2

These are the possible outcomes.

5 0

3 years ago

What is the derivative of y with respect to x if y = 2/X4

zepelin [54]

You're correct, the answer is C.

Given any function of the form $y=x^n$ , then the derivative of y with respect to x ( $\frac{dy}{dx}$ ) is written as:
$\frac{dy}{dx}=nx^n^-^1$

In which $n$ is any constant, this is called the power rule for differentiation.

For this example we have $y= \frac{2}{x^4}$ , first lets get rid of the quotient and write the expression in the form $y=x^n$ :
$y= \frac{2}{x^4} =2x^-^4$

Now we can directly apply the rule stated at the beginning (in which $n=-4$ ):
$\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}$

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).

6 0

3 years ago