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1 year ago

Ai Mi uses 7 gallons of gas to drive 151.9 miles in her car. Find the rate of change.

Mathematics

1 answer:

Fynjy0 [20]1 year ago

5 0

Answer:

21.7

Step-by-step explanation:

Take 151.9/ 7 and that is your answer. All you have to do is divide.

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30 because 18 and the plain goes into 12 which is 30
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2 years ago

Maria invests $6,154 in a savings account with a fixed interest rate of 8% compounded continuously. What will the account balanc

Vitek1552 [10]

Answer:

$13,695.98

Step-by-step explanation:

We can use the continuous compound interest formula to solve:

$A = Pe^{rt}$

P = principal amount

r = interest rate (decimal)

t = time (years)

First, lets change 8% into a decimal:

8% -> $\frac{8}{100}$ -> 0.08

Now, lets plug in the values:

$A=6,154e^{0.08(10)}$

$A=13,695.98$

The account balance after 10 years will be $13,695.98

3 0

3 years ago

Solve the following equations;- x - 9 /√x + 3 =1

fgiga [73]

Answer:

13 , 6.

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation to us is ,

$\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1$

Cross multiply ,

$\sf\implies x - 9 =\sqrt{ x +3}$

Squaring both sides ,

$\sf\implies (x - 9)^2 = x + 3$

Simplify the whole square ,

$\sf\implies x^2+9^2-2.9.x = x +3 \\$

$\sf\implies x^2+81 - 18x = x -3$

Add 3 and subtract x on both sides ,

$\sf\implies x^2 -18x-x +81-3=0$

Simplify ,

$\sf\implies x^2 -19x +78=0$

Split the middle term of the quadratic equation,

$\sf\implies x^2-13x-6x+78=0$

Take out common ,

$\sf\implies x( x -13)-6(x-13)=0$

Take out ( x -13 ) as common ,

$\sf\implies ( x -13)(x-6)=0$

Equate both factors to 0 ,

$\sf\implies \boxed{\pink{\sf x = 13,6}}$

Hence the value of x is 13 or 6 .

7 0

2 years ago

Question 3 (open to see pic)

melamori03 [73]

The points (1,-2) and (4,16) are not in the line but the point (-3,-18) is on the line. (Work is shown in the image)

8 0

3 years ago

Algebra Question ( Matrices and Determinants ) 20 point

blagie [28]

The determinant of a 2 x 2 matrix can be calculated as:
Product of non-diagonal elements subtracted from product of diagonal elements.

The diagonal elements in given matrix are 12 and 2. The non-diagonal elements are -6 and 0.

So,

Determinant G = 12(2) - (-6)(0)

Determinant G = 24 - 0 = 24

So, option B gives the correct answer

6 0

3 years ago

Read 2 more answers