<u>Part 1)</u> Use the fact that there are 12 inches in a foot
a) How many inches tall is a 7 foot basketball player?
we know that
1 foot=12 inches
so by proportion

therefore
<u>the answer Part 1a) is</u>

Part b) If a yard is a 3 feet long, how many inches are in a yard?
we know that
1 yard=3 feet
1 foot=12 inches
so
Convert 3 feet to inches
by proportion
therefore
<u>the answer Part 1b) is</u>

<u>Part 2) </u>At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?
by proportion
therefore
<u>the answer Part 2) is</u>

<u>Part 3) </u>Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.
Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?
we know that
<u>Find the cost of the bananas</u>

<u>Find the cost of the apples</u>

Sum the cost of the bananas and the cost of the apples

------> Janice's mother didn't give her enough money
She needs more money
She needs-------> 
therefore
<u>the answer part 3) is</u>
She needs
more
Answer:b=7
Step-by-step explanation:
To translate -5times b is not less than -35
It means
-5b>-35
To solve,divide through by -5
b=7
Answer: Third option.
Step-by-step explanation:
These are some transformations for a function f(x):
If
, then the function is shifted down "k" units.
If
, then the function is shifted right "k" units.
Knowing this we can describe the transformation from the graph of the function
to the graph of the function
. This is:
The function
is the function
but shifted right 3 units and shifted down 1 units.
Therefore, the correct option is the third one.
Answer: 3x + 4y = - 26
Explanation:
1) the standard form is Ax + By = C
2) given: y + 5 = - (3 / 4) (x + 2)
3) multiply both sides by 4:
4y + 20 = - 3 (x + 2)
4) expand the parenthesis using distributive property:
4y + 20 = -3x - 6
5) transpose -3x and 20
4y + 3x = - 20 - 6
6) combine like terms
4y + 3x = - 26
7) rearrange:
3x + 4y = - 26
That is the standard form of the linear equation given.
Each time x goes up by 1, y also goes up by 1 as well.
slope = rise/run = 1/1 = 1
Or we can use the slope formula to get
m = (y2-y1)/(x2-x1) = (3-2)/(2-1) = 1/1 = 1
I used the first two rows as the points to plug into the slope formula.
You can pick any two rows you want and you'll get the same slope value.
--------------------------------------
Because we get the same result of 1 each time, this means the rate of change is <u>constant</u> and this function is <u>linear</u>. Plotting all four points will show a single straight line goes through all of them. See diagram below.