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3 years ago

The product of -2 and a number minus 6 is greater than -18

1 answer:

8 0

So product means multiplication so -2*(x-6) > -18 so divide by -2 on both sides to get x-6<9 because when you multiply a negative the sign swaps directions and then add 6 to get x<15

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A store is offering a 20% discount on all items. Is there a proportional relationship between the original price of an item and

professor190 [17]

Answer:

A store is offering a 14% discount on all items. Write an equation relating the sale price S for an item to its list price L.

Step-by-step explanation:

8 0

3 years ago

PLEASE HELP ASAP -- WITH THE WORKK<br><br>50 points

MAXImum [283]

Part-A:-

$\\ \sf\longmapsto x^2+3x-70(4x-12)$

$\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840$

$\\ \sf\longmapsto -8x^2+48x+560$

Now

$\\ \sf\longmapsto (f.g)(3)$

$\\ \sf\longmapsto -8(3)^2+48(3)+560$

$\\ \sf\longmapsto -72+144+560$

$\\ \sf\longmapsto 72+560$

$\\ \sf\longmapsto 632$

Part-B:-

$\\ \sf\longmapsto f(3)$

$\\ \sf\longmapsto (3)^2+3(3)-70$

$\\ \sf\longmapsto 9+9-70$

$\\ \sf\longmapsto 18-70$

$\\ \sf\longmapsto -52$

Now

$\\ \sf\longmapsto g(f(3))$

$\\ \sf\longmapsto g(-52)$

$\\ \sf\longmapsto 4(-52-3)$

$\\ \sf\longmapsto 4(-55)$

$\\ \sf\longmapsto -220$

Part:-C

$\\ \sf\longmapsto g(-2)$

$\\ \sf\longmapsto 4(-2-3)$

$\\ \sf\longmapsto 4(-5)$

$\\ \sf\longmapsto -20$

Now

$\\ \sf\longmapsto f(g(-2))$

$\\ \sf\longmapsto f(-20)$

$\\ \sf\longmapsto (-20)^2+3(-20)-70$

$\\ \sf\longmapsto 400-60-70$

$\\ \sf\longmapsto 400-130$

$\\ \sf\longmapsto 270$

Part-D:-

g×f=f×g

$\\ \sf\longmapsto (g.f)(-2)$

$\\ \sf\longmapsto -8(-2)^2+48(-2)+560$

$\\ \sf\longmapsto 32-96+560$

$\\ \sf\longmapsto -64+560$

$\\ \sf\longmapsto 496$

6 0

2 years ago

The height of a triangle is 7m less than it’s base the area of the triangle is 30m^2 what is the length of the base what is the

Ksju [112]

If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height. To find the height of an equilateral triangle, use the Pythagorean Theorem, a^2 + b^2 = c^2.

3 0

3 years ago

A manufacturer of mosquito repellent claims that the average amount of time their repellent is effective is at least 3.5 hours.

natta225 [31]

Answer:

Hypothesis Testing:

Manufacturer claims that the average of time their mosquito repelllent is effective is at least 3.5hrs l.e μ ≥ 3.5hrs

Step-by-step explanation:

5 0

3 years ago

275,000,000 written in scientific notation would be

zubka84 [21]

Round to the nearest significant number

275,000,000 = 2.75^8

2.75^8 is your answer

hope this helps

8 0

3 years ago