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KonstantinChe [14]
3 years ago
8

Q-35 Convert this equation to slope-intercept form: y+2= -4/17x + 12/7

Mathematics
1 answer:
Andru [333]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept)

given y + 2 = - \frac{4}{17} x + \frac{12}{7}

Subtract 2 from both sides

y = - \frac{4}{17} x + \frac{12}{7} - \frac{14}{7}

y = - \frac{4}{17} x - \frac{2}{7} ← in slope- intercept form


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Choose ALL possible answers
muminat
Select all the correct answers:
1) Yes

2) No
x=8→h(8)=2(8)^2+5(8)+2=2(64)+40+2=128+40+2→h(8)=170
x=8→f(8)=3^8+2=6,561+2→f(8)=5,563>170=h(8)

3) Yes

4) No

5) Yes
rg=[g(3)-g(2)]/(3-2)=[g(3)-g(2)]/1→rg=g(3)-g(2)
g(3)=20(3)+4=60+4→g(3)=64
g(2)=20(2)+4=40+4→g(2)=44
rg=64-44→rg=20

rf=f(3)-f(2)
f(3)=3^3+2=27+2→f(3)=29
f(2)=3^2+2=9+2→f(2)=11
rf=29-11→rf=18

rh=h(3)-h(2)
h(3)=2(3)^2+5(3)+2=2(9)+15+2=18+15+2→h(3)=35
h(2)=2(2)^2+5(2)+2=2(4)+10+2=8+10+2→h(2)=20
rh=35-20→rh=15

rg=20>18=rf
rg=20>15=rh

6)  No
x=4→g(4)=20(4)+4=80+4→g(4)=84
x=4→h(4)=2(4)^2+5(4)+2=2(16)+20+2=32+20+2→h(4)=54
x=4→f(4)=3^4+2=81+2→f(4)=83>54=h(4)
f(4)=83<84=g(4)
7 0
3 years ago
Which number line represents the solution set for the inequality ? HELP PLEASE
irga5000 [103]

Step-by-step explanation:

if you need any explanation you can ask

7 0
3 years ago
32% of a number is 64 what is the number
Serjik [45]

Answer:

If you take 32 percent of a number and get 64, then what is that number? In other words, you know that 32 percent of a number is 64 and you want to know what that initial number is. Therefore, the answer to "64 is 32 percent of what number?" is 200, and you can also derive that 32 percent of 200 equals 64.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
which of the following represents the equation of the line with an x- intercept of 6 that passes through the point (4,4)?
luda_lava [24]

Answer:

y=-2x+12

Step-by-step explanation:

To write the equation of a line, find the slope between two points. Substitute two points into the slope formula. If the equation has an x-intercept of 6 then the line passes through the point (6,0). Use (6,0) and (4,4) in the formula.

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-0}{4-6} =\frac{4}{-2} =-2

Since m = -2, substitute its value and the point (6,0) into the point slope form. Then simplify.

y-y_1 = m(x-x_1)\\y-0 = -2 (x-6)\\y=-2x+12

7 0
3 years ago
Peter borrowed a sum of R12 850.00 at the beginning of a year with a certain simple interest rate. After 14 quarters, in a diffe
ladessa [460]

The original annual simple interest rate, rounded to two decimal places, is 3.79%

What is the formula for simple interest?

The simple interest on a loan or deposit is determined as the principal multiplied by the simple interest rate and time

I=PRT

The first loan:

P=12 850.00

R=r(assume it is r)

T=4 years

I=12 850.00*r*4

I=51400r

The second loan was taken after 14 quarters the first was taken out, which is the same as after 3.5 years, hence, the interest on the second loan is only for a half a year

P=3 273.00

R=0.5r( half of the interest on the first loan)

T=0.5 years

I=3 273.00*0.5r*0.5

I= 818.25r

Total interest=51400r+818.25r

Total interest=52218.25r

total interest paid=1 980.00

1 980.00=52218.25r

r=1 980.00/52218.25

r=3.79%

Find out more about simple interest on: brainly.com/question/1115815

#SPJ1

5 0
2 years ago
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