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2 years ago

GIVING BRAINLIEST!!!

Mathematics

2 answers:

vazorg [7]2 years ago

8 0

The answers are A and C.

svetlana [45]2 years ago

3 0

Answer:

The answer is C because the constant ratio of y/x is 12/5

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if f(x)=2(x)^2+5sqrt(x+2), complete the follwoing statement ( round your answer to the nearest hundreth) : f(0)=_____

Maslowich

Answer:

$f(0)=7.07$

Step-by-step explanation:

We have the function $f(x)=2(x)^2+5\sqrt{(x+2)}$

In this case we want to find the value of f0)

To find f(0) you must replace the x in the function with the number 0 and solve as shown below

$f(0)=2(0)^2+5\sqrt{(0+2)}$

$f(0)=0+5\sqrt{(0+2)}$

$f(0)=5\sqrt{(2)}$

Therefore

$f(0)=7.07$

5 0

3 years ago

In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r

iren2701 [21]

Answer:

 $f(x) = 1588.4x + 39000$ 

$f(15) = 62826$

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

$a = \frac{70768 - 39000}{20 - 0}$

$a = \frac{31768}{20}$

$a = 1588.4$

Next, is to determine the formula using:

$y - y_1 = a(x - x_1)$

Considering :When x = 0; y = 39000, we have

 $y - 39000 = 1588.4(x - 0)$ 

 $y - 39000 = 1588.4x$ 

Make y the subject of formula

 $y = 1588.4x + 39000$ 

Express y as a function of x

 $f(x) = 1588.4x + 39000$ 

Solving (b): Income in 2005

In 2005, x = 15

So:

$f(x) = 1588.4x + 39000$ becomes

$f(15) = 1588.4 * 15 + 39000$

$f(15) = 62826$

3 0

3 years ago

Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i

Elena-2011 [213]

Answer:

5 years

Step-by-step explanation:

In the question we are given;

Amount invested or principal amount as $5048
Rate of interest as 4% compounded 12 times per year
Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

$A=P(1+\frac{r}{100})^n$

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

$6,163.59=5,048(1+\frac{0.333}{100})^n$

$1.221=(1+\frac{0.333}{100})^n$

$1.221=(1.0033)^n$

introducing logarithms on both sides;

$log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61$

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

= 5.0508

= 5 years

Therefore, it will take 5 years for the invested amount to accrue to $6163.59

3 0

3 years ago

Write the standard form of the equation of the line through the given point with the given slope. Through (-2,5), slope =-4

AleksandrR [38]

Answer:

$\huge\boxed{4x+y=-3}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

(x₁, y₁) - point on a line

m - slope

We have

$m=-4,\ (-2,\ 5)\to x_1=-2,\ y_1=5$

Substitute:

$y-5=-4(x-(-2))\\\\y-5=-4(x+2)$

Convert to the standard form

$Ax+By=C$

$y-5=-4(x+2)$ use the distributive property

$y-5=(-4)(x)+(-4)(2)$

$y-5=-4x-8$ add 5 to both sides

$y-5+5=-4x-8+5$

$y=-4x-3$ add 4x to both sides

$4x+y=-4x+4x-3\\\\4x+y=-3$

3 0

2 years ago

What is 8 11/12 + 9 5/18

aleksklad [387]

Step-by-step explanation:

The picture is the full explanation for this question answer.

7 0

1 year ago