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4 years ago

What is the equation of a line that has a slope of −12 and a y-intercept of 3? Express your answer in slope-intercept form.

Mathematics

1 answer:

Elena L [17]4 years ago

6 0

If given the slope and y-intercept, you can directly get the slope intercept form as

y = -12x + 3

You might be interested in

Write the first four terms in the multiplication pattern given by the formula 10*5n

lukranit [14]

Thay are:-
10*5^1, 10*5^2 , 10*5^3, 10*5^4

= 50, 250, 1250 and 6250 answer

4 0

4 years ago

Ahmad Conan deposited 60 quarters, 53 dimes, 44 nickels, and 50 pennies into his checking account. The total of the checks he de

Galina-37 [17]

Answer:

40 $

Step-by-step explanation:

He first deposited 60 quarters=15$, 53 dimes=5.3$, 44 nickels=2.2$, and 50 pennies=0.5$ Total 23$

23$+17$=2*(total deposit)

so total deposit = 20

"If Ahmad received 2 twenty-dollar bills in cash" - does not mean that he deposited those 40$

so total deposit = 20$

4 0

3 years ago

Solve the system of equations using substitution<br> 4x + 2y = 16<br> =−12+5

mario62 [17]

Answer:

$x=\frac{70}{11},\:y=\frac{20}{11}$

Step-by-step explanation:

$\begin{bmatrix}4x+2y=16y\\ y=-\frac{1}{2}x+5\end{bmatrix}$

$\mathrm{Substitute\:}y=-\frac{1}{2}x+5$

$\begin{bmatrix}4x+2\left(-\frac{1}{2}x+5\right)=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}$

$Simplify$

$\begin{bmatrix}3x+10=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}$

Isolate x for 3x+10=16(-1/2x+5): $x=\frac{70}{11}$

$\mathrm{For\:}y=-\frac{1}{2}x+5$

$\mathrm{Substitute\:}x=\frac{70}{11}$

$y=-\frac{1}{2}\cdot \frac{70}{11}+5$

$-\frac{1}{2}*\frac{70}{11}+5=\frac{20}{11}$

$y=\frac{20}{11}$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=\frac{70}{11},\:y=\frac{20}{11}$

3 0

3 years ago

Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per mi

irakobra [83]

Answer:

a) Mean=0 and Standard deviation=1

b) The z-scores have no units of measurement

Step-by-step explanation:

When we convert all the pulse rates of women to z-scores using the formula;

$z=\frac{x-\mu}{\sigma}$ the mean is 0 and the standard deviation is 1.

The reason is that, the resulting distribution of z-scores forms a normal distribution which has a mean of 0 and a standard deviation of 1.

b) The z-scores are standardize scores and has no units of measurement. They give us how many standard deviations below or above the mean of the corresponding values.

8 0

4 years ago

What is 29 to the power of x to the power of 15

Mumz [18]

Answer:

29 to the power of 15x

Step-by-step explanation:

Rules of exponents:

Multiply exponents.

15*x=15x

Therefore 29 to the power of 15x

7 0

3 years ago