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Sonja [21]
3 years ago
14

What is the equation of the line that has a slope of 0 and a y-intercept of -2/3

Mathematics
1 answer:
BartSMP [9]3 years ago
8 0

Answer:

y = x  -  \frac{2}{3}

from

y = mx + c

Step-by-step explanation:

since the gradient of the line is 0

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One batch of fruit punch contains 1/4 quart grape juice and 1/2 quart apple juice. Colby makes 9 batches of fruit punch. How muc
VLD [36.1K]
Okay, so, Colby made 9 batches, right? And each batch contained 1/4 quart of grape juice. To find how much grape juice he used for the 9 batches, you have to multiply 1/4 and 9.
1/4*9 = 9/4.
Simplified: 9/4 turns into 2 1/4.
Colby used 2 1/4 quarts of grape juice.
7 0
3 years ago
Read 2 more answers
Need help please 9× > 108​
butalik [34]

Answer:

x > 12

Step-by-step explanation:

9x>108

x> 108/9

x > 12

8 0
3 years ago
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- 2/3 (x+12)+2/3 x=-5/4 x+2
bogdanovich [222]

We will have the following:

-\frac{2}{3}(x+12)+\frac{2}{3}x=-\frac{5}{4}x+2\Rightarrow-\frac{2}{3}x-8+\frac{2}{3}x=-\frac{5}{4}x+2\Rightarrow-\frac{2}{3}x+\frac{2}{3}x+\frac{5}{4}x=2+8\Rightarrow\frac{5}{4}x=10\Rightarrow5x=40\Rightarrow x=8

So, the value of x is 8.

5 0
1 year ago
Find the inverse function in slope-intercept form (mx+b):<br> f(x)=-3/5x+6
ruslelena [56]

Answer:

f^{-1}(x)=-\frac{5}{3} x+10

Step-by-step explanation:

Steps to find the inverse function:

1) replace f(x) with "y"

y=-\frac{3}{5} x+6

2) solve for x:

y-6=-\frac{3}{5} x\\x=-\frac{5}{3}(y-6)\\ x=\frac{5}{3} (6-y)\\x=-\frac{5}{3} y+10

3) replace "x" with f^{-1}(x), and y with x:

f^{-1}(x)=-\frac{5}{3} x+10

6 0
3 years ago
use the formula a=p(1+r/n)nt to find the compound interest account . zakk deposited $5600.0in an account which compounded 1.9%qu
Komok [63]

Answer:

A=\$6,768.75  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ P=\$5,600\\ r=0.019\\n=4  

substitute in the formula above  

A=\$5,600(1+\frac{0.019}{4})^{4*10}  

A=\$5,600(1.00475)^{40}=\$6,768.75  

5 0
3 years ago
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