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Troyanec [42]
3 years ago
5

Slope -3 passing through points (4, -3)

Mathematics
1 answer:
marta [7]3 years ago
7 0

Answer:

If you're asking for the equation:

y= -3x + 9

Step-by-step explanation:

y = mx + b

(plug in the slope)

y = -3x + b

(plug in the point)

-3 = -3(4) + b

-3 = -12 + b

9 = b

(plug back into the original equation)

y = -3x + 9

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Functions f(x) and g(x) are composed to form h (x) = startroot x cubed minus 2 endroot. if f (x) = startroot x 2 endroot and g (
iren [92.7K]

Function Composition exists when two functions f(x) and g(x) result in another function h(x), such that h(x) = f(g(x)). For function composition h(x) =  f(g(x)), the value of a exist -4.

<h3>What is function Composition?</h3>

Function Composition exists when two functions f(x) and g(x) result in another function h(x), such that h(x) = f(g(x)). In other words, put the outcome of one function into the other one.

Here, h(x) = f(g(x))

which means, h(x) = f(x³+ a)

$h(x) = \sqrt{x^3+a+2}

$\sqrt{x^3-2} = \sqrt{x^3+a+2}

To estimate the value of a, we separate equal terms:

1) Both are squared, so we can "eliminate" the square;

2) x³ = x³

3) -2 = a+2

a = -4

For function composition h(x) =  f(g(x)), the value of a exist -4.

To learn more about function composition refer to:

brainly.com/question/17299449

#SPJ4

8 0
2 years ago
Factor out the GCF and rewrite the problem using the distributive property 56 +70
iren2701 [21]
Easy 56 plus 70 is 160
3 0
3 years ago
Heather received $100 for her 13th birthday if she saves it in a bank with 3% interest compounded quarterly how much money will
ololo11 [35]

Answer:

109.38

Step-by-step explanation:

Recall the formula for compound interest is as follows:

         A  =  P·(1  +  r/n)nt ,   where

    P = principal amount (initial amount deposited)

     r = annual rate of interest (in decimal form)

     t = # of years amount is deposited for

    n = # of times interest is compounded per year

    A = amount accumulated after t years, including interest

The problem asks how much money Heather will have in the bank by her 16th birthday when she deposited $100 on her 13th birthday in a bank with 3% interest compounded quarterly. From this, we have the following information:

    P = $100

    r = 0.03     ==>     3%/100% = 0.03

    t = 3 years     ==>     16 - 13 = 3

    n = 4     ==>     since there are 12 months per year and 12/4 = 3 months,

                then interest is compounded  every 3 months which is a total of 4 times per year

Therefore,

         A = P(1 + r/n)nt

            = 100(1 + 0.03/4)4·3

            = 100(1 + 0.0075)12

            = 100(1.0075)12

            = 109.38069

            ≈ 109.38

Thus, Heather will have $109.38 in the bank by her 16th birthda

6 0
3 years ago
Hey can you please help me posted picture of question
Sidana [21]
Number of outcomes when flipping a coin = 2
Favorable outcome is landing on head.
So,number of favorable outcomes = 1

Probability of getting a head when flipping a coin = \frac{1}{2}

Number of outcomes when rolling a dice = 6
Favorable outcomes are rolling 4,5 or 6.
So,number of favorable outcomes = 3

Probability of getting 4 or a bigger number when rolling a dice = \frac{3}{6}= \frac{1}{2}

Thus the probability of getting a head when flipping a coin and getting a number equal to or greater than 4 when a dice is rolled = \frac{1}{2}* \frac{1}{2} = \frac{1}{4}

So, option A gives the correct answer
6 0
4 years ago
Read 2 more answers
Write two 5 digit addend whose sum estimate 60,000
boyakko [2]
30,000+30,000= 60,000 
4 0
3 years ago
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