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Varvara68 [4.7K]

2 years ago

7

Adriana writes the equation y = 2x + 4 to represent a line on a graph. Henry writes an equation that has a y-intercept that is 1

unit lower on the graph but has the same slope as Adriana’s line. Which is Henry’s equation?

2 answers:

melomori [17]2 years ago

5 0

Answer:C

Step-by-step explanation:Y=2x+3

Slope=Mx+b

ss7ja [257]2 years ago

3 0

The biggest part of this problem is understanding what the equation is for Slope-Intercept Form. The equation is y=mx+b. This looks complicated, but don't worry; it's actually quite "b" stands for the y-intercept, and "m" stands for the slope. Adriana's problem says that the y-intercept is 4, and to find Henry's answer, you need to change the y-intercept by -1. What is 4-1? 3. If the slope, 2, stays the same, then y=2x+3! There's your answer.

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11/12−6/1q+6/5q−3/1, Combine like terms to create an equivalent expression.

Nikolay [14]

Answer: $-\frac{25}{12} -\frac{24q}{5}$

Step-by-step explanation:

$\frac{11}{12} -\frac{6}{1} q+\frac{6}{5}q-\frac{3}{1}$

$\frac{11}{12} -6q+ \frac{6q}{5} -\frac{3}{1}$

$\frac{11}{12}-6q \frac{6q}{5} -3$

$(\frac{11}{12} -3)+(-6q+\frac{6q}{5} )$

$-\frac{25}{12}- \frac{24q}{5}$

Simplify three times, collect like terms and simplify again, how to collect like terms see their differences and then put them into groups, for example I put all the numbers without variables on one side and all the numbers with variables on another.

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)

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4 0

2 years ago

Read 2 more answers

A company buys paper clips at the rate of $7.50 per box for the first 10 boxes, $5.50 per box for the next 10 boxes, and $3.50 p

BlackZzzverrR [31]

Answer:

46 boxes

Step-by-step explanation:

First 10 boxes can be bought for $7.5*10=75$
Next 10 boxes can be bought for $5.5*10=55$

<em>So for a total of </em><em>20 boxes, </em><em>the cost is $75+55=130$ </em>

<u>We have remaining $221-130=91$ </u>

Each additional box costs 3.5, so for 91 dollars, we can get:

$\frac{91}{3.5}=26$ boxes

So, total $10+10+26=46$ boxes can be bought for $221.00

5 0

2 years ago

The product of sin 30 degrees and sin 60 degrees is the same as the product of

zysi [14]

Answer:

$sin(30\°)*sin(60\°)=cos(60\°)*cos(30\°)$

Step-by-step explanation:

we know that

$sin(\alpha)=cos(\beta)$

when

$\alpha+\beta=90\°$ -------> complementary angles

so

$sin(30\°)=cos(60\°)$

$sin(60\°)=cos(30\°)$

Because

$30\°+60\°=90\°$ -------> complementary angles

In this problem the product of

$sin(30\°)*sin(60\°)$

is equal to

$cos(60\°)*cos(30\°)$

therefore

$sin(30\°)*sin(60\°)=cos(60\°)*cos(30\°)$

3 0

2 years ago

Read 2 more answers

water will be both added to and drained from a bathtub at the same time for 5 minutes. the total amount of water added to the ba

Leto [7]

There would be 12 litres in the tub after 4 minutes

6 0

2 years ago

A car rental firm has the following charges for a certain type of car: $25 per day with 100 free miles included, $0.15 per mile

Eddi Din [679]

y = 25 + 0.15x is the equation for relating the cost y to the number of miles x that you drive the car

<em><u>Solution:</u></em>

Let "y" be the total cost of car rental

Let "x" be the number of miles you drive the car for more than 100 miles

<em><u>A car rental firm has the following charges for a certain type of car:</u></em>

$25 per day with 100 free miles included, $0.15 per mile for more than 100 miles

<em><u>Suppose you want to rent a car for one day, and you know you'll use it for more than 100 miles</u></em>

Therefore,

Car is rented for one day

You will use it for more than 100 miles

Therefore, equation is framed as:

Total cost = $ 25 + 0.15(number of hours)

$Total\ Cost = 25 + 0.15x\\\\y = 25 + 0.15x$

Thus the equation for relating the cost y to the number of miles x that you drive the car

7 0

2 years ago