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4 years ago

Y= -1/3x+2

1 answer:

8 0

Plugging x in, we have -x/3+2, which is -2/3+2=1.3 (with the 3 repeating).

To graph it, try desmos.com if you need help :)

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Explain how you can use the inverse relationship of addition and subtraction to solve the equation n+7=25.

juin [17]

answer:

25-7=n. n = 18

Step-by-step explanation:

...

3 0

3 years ago

#5 10 pounds of Cat Food A costs $6.50.

slava [35]

Answer:

Step-by-step explanation:

6 is less than 14 obviously.

6 0

3 years ago

An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th

7nadin3 [17]

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b = 2500 ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115 ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a = $500

Put this value of a in eq 1

500 + b = 2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

3 0

3 years ago

Liz and Sara are making cookies for a bake sale. The graph shows the number of cookies that Liz bakes during a 5-hour period.

Radda [10]

Statements

case A) Sara had baked more cookies at the start of the $5$ hours than Liz

The statement is True

we know that

At the start of the $5$ hours Liz has baked $220$ cookies-----> see the graph

Find the number of cookies that Sara has baked for $x=5$ hours

$y=45x+38$

$y=45*5+38=263$

$263 > 220$

therefore

Sara had baked more cookies at the start of the $5$ hours than Liz

case B) Sara bakes $45$ cookies each hour

The statement is True

we know that

The number of cookies baked each hour is equal to the slope of the linear equation

The linear equation is

$y=45x+38$

The slope is $m=45\frac{cookies}{hour}$

case C) Liz bakes $19$ cookies each hour

The statement is false

Find the slope of the Liz graph

The slope is equal to

$m=\frac{y2-y1}{x2-x1}$

Let

$A(0,19)\ B(4,179)$

Substitute the values

$m=\frac{179-19}{4-0}$

$m=40\frac{cookies}{hour}$

case D) Liz bakes more cookies each hour than Sara

The statement is False

Sara bakes $45$ cookies each hour

Liz bakes $40$ cookies each hour

6 0

4 years ago

Polygon ABCDE is dilated by a scale factor of 3 with the center of dilation at the origin to create polygon A′B′C′D′E′. If the e

solmaris [256]

Short answer: B'C' has the same as BC
Let the slope of BC have a slope of m

m = (y2 - y1) / (x2 - x1)
y2 = 10
y1 = 5
x2 = 5
x1 = 3

m = (10 - 5)/(5 - 3)
m = 5 / 2
m = 2.5

Since the slope of BC is 2.5
The slope of B'C' = 2.5 <<<<<<<<<< answer

6 0

4 years ago