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Rasek [7]
3 years ago
13

Determine the slope and y-intercept of the graph: 7x + 4y = 28

Mathematics
1 answer:
barxatty [35]3 years ago
5 0

Answer:

slope is  (-7/4) and y-intercept is 7

Step-by-step explanation:

If we convert the equation 7x + 4y = 28  into Slope-intercept form, we can find the slope and the y-intercept.

7x + 4y - 7x  =  28  - 7x

4y =  28 - 7x

divide both sides by 4

y = (28 - 7x)/4

y = 7 - 7x/4

slope is  (-7/4) and y-intercept is 7

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What is the value of x?
natima [27]

Answer:

30°

Step-by-step explanation:

A triangle always adds up to 180° so since one side of the triangle is already 90°, that means the other two sides add up to be 90° as well.

x + 2x = 90 \\ 3x = 90 \\  \frac{3x}{3}  =  \frac{90}{3}  \\ x = 30

6 0
2 years ago
$1000 invested with compound interest at a rate of 15% per year for 9 years. Formula: M = P(1+ i)n Group of answer choices $3517
BaLLatris [955]

Answer:

Option A.

Step-by-step explanation:

Note: Let as consider, we have to find the total amount after 9 years.

It is given that,

Principal amount = $1000

Rate of compound (yearly) interest = 15% = 0.15

Time = 9 year

The formula for total amount is

M=P(1+i)^n

where, P is principal, i is rate of interest and n is number of years.

Substituting P=1000, i=0.15 and n=9, we get

M=1000(1+0.15)^9

M=1000(1.15)^9

M=1000(3.5178763)

M=3517.8763

M\approx 3517.88

So, the total amount after 9 years is $3517.88.

Therefore, the correct option is A.

6 0
3 years ago
An integer is 8 more than 5 times another. If the product of the two integers is 36, then find the integers
Harman [31]

Answer:

see below

Step-by-step explanation:

1st:  x

2nd:  5x + 8

x(5x + 8) = 36

5x² + 8x = 36

5x² + 8x - 36 = 0

(x - 2)(5x + 18) = 0

(x - 2) = 0

x - 2 = 0

x = 2

1st:  x = 2

2nd:  5x + 8 = 5(2) + 8 = 18

(5x + 18) = 0

5x + 18 = 0

5x = -18

x = -3.6

1st:  x = -3.6

2nd:  5x + 8 = 5(-3.6) + 8 = -18 + 8 = -10

7 0
3 years ago
I need help on this one question ;(
Law Incorporation [45]

Answer:

C

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
How do you find a rectangular prisms height with length and width given
Naily [24]
If you are given the volume then you can solve
v=volume
h=height
l=legnth
w=width

hlw means h times l times w
v=hlw
so to find height divide both sdie sby lw
v/lw=hlw/lw
v/(lw)=h
so just divide volume by the quantity lengh times width
if you were given the volume
6 0
4 years ago
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