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melisa1 [442]
3 years ago
5

0.5b>-6 or 3b+16<-8+b solve compound inequality

Mathematics
1 answer:
Basile [38]3 years ago
7 0
0.5b>-6
b>-12

or

3b+16<-8+b
3b<24+b
2b<24
b<12

b>-12 or b<12
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How to write the slope intercept form of the equation of the line through the given points?
Paha777 [63]
Slope intercept form of an equation is:
y = mx + b
where m is the slope and b is the t intercept.

First you must determine the slope of the line. This is a ratio of how fast the line travels up or down vs how fast it is moving to the right. Another name for this is rise over run. The equation to find the slope is:
m = (y1 - y2) / (x1 - x2)

now to find b. We can plug in one of the points of the equation into our first equation along with the slope to get out b value.

So if our 2 points were (2, 3) and (3, 4) we could find slope intercept form like this:
m = (2 - 3) / (3 - 4)
m = -1 / -1
m = 1
Now taking point (2, 3)
3 = 1 * 2 + b
1 = b
Finally to plug our m and b into equation for answer:
y = 1x + 1
However, 1 * anything is redundant therefore:
y = x + 1
8 0
3 years ago
Find the y-intercept of the line 2x+10y=20 type in an ordered pair as your answer.
dybincka [34]

(0, 2 )

to find the y-intercept, let x = 0 in the equation

x = 0 , then 10y = 20 ⇒ y = 2 ← ( y- intercept ) ⇔ (0, 2 )



3 0
3 years ago
Alice borrowed 16700 from the bank at a simple interest rate of 9% to purchase a used car.At the end of the loan,she had paid a
BigorU [14]

Answer:

Step-by-step explanation:

Alice borrowed 16700 from the bank at a simple interest rate of 9% to purchase a used car. It means that the interest is not compounded. Simple interest is usually expressed per annum. The formula for simple is

I = PRT/100

Where

I = interest

P = principal(amount borrowed from the bank)

R = 9% ( rate at which the interest is charged

T = number of years

At the end of the loan,she had paid a total of 24215. This means that the interest + the principal = 24215

Therefore,

The interest = 24215 - 16700 = 7515

Therefore

7517 = (16700 × 9 × t)/100

751700 = 150300t

T = 751700/150300

T = 5 years

Converting 5 years to months,

1 year 12 months

5 months = 12 × 5 = 60 months

4 0
3 years ago
I’m kinda confused. Can someone help.
horsena [70]

Answer:

PQ = PM\cos MPQ + MQ\cos MQP=2PM\cos MQP

Step-by-step explanation:

given MQR = 60, PQR = 75

MQP = 75 -60= 15QR = ((18(1+\cos 30))^{2}-(2\cos 15)^{2})^{\frac{1}{2}}

WE KNOW THAT MQR +QRM +QMR = 180

MPQ = MQP AS ANGLE OPPOSITE TO EQUAL SIDES ARE EQUAL

THEREFORE QMR = 90 - 60 = 30

therefore PQM = 75 - 60 = 15

PM = PQ because M is the mid point

therefore PR = PM + MQ\cos QMR

                PR = 18(1+\cos 30)

QR = (PR^{2}-PQ^{2}))^{\frac{1}{2}}

PQ = PM\cos MPQ + MQ\cos MQP=2PM\cos MQP

5 0
3 years ago
Please help me, please
LiRa [457]
Answer: D: -2
explanation:
1. divide fractions inside brackets by multiplying by the reciprocal
1/4 • 4/7
= 4/28
2. multiply 4/28 by 7/5
= 28/140 which can be reduced to 1/5
3. multiply by -10
= 1/5 • -10
= -2
8 0
2 years ago
Read 2 more answers
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