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Dima020 [189]
3 years ago
9

Thevalley was at least 4 feet below sea level Inequality? PLEASE HELP DUE TODAY!!!!

Mathematics
1 answer:
alukav5142 [94]3 years ago
7 0
X less than or equal to -4
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The length of a rectangle is 3 centimeters less than four times its width. Its area is 10 square centimeters. Find the dimension
Kay [80]

Answer:

W = 2 cm

L = 5 cm

Step-by-step explanation:

A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. Its area, the amount of space inside it, can be found using the formula A = l*w. If the area is 10 cm² and the length is "3 cm less than 4 times the width" or 4w - 3, you can substitute and solve for w.

A = l*w

10 = (4w - 3)(w)

10 = 4w² - 3w

Subtract 10 from both sides to make the equation equal to 0. Then solve the quadratic by quadratic formula.

4w² - 3w - 10 = 0

Substitute a = 4, b = -3 and c = -10.

w = \frac{3 +/- \sqrt{(-3)^2 - 4(4)(-10)} }{2(4)} = \frac{3 +/- \sqrt{9 +160)} }{8} =  \frac{3 +/- \sqrt{169} }{8} = \frac{3+/-13}{8}

There are two possible solutions which can be found.

3 + 13 / 8 = 16/ 8 = 2

3 - 13 / 8 = -10/8 = -5/4

Since w is a side length or distance, it must be positive so w = 2 cm.

If the width is 2 cm then the length is 4(2) - 3 = 8 - 3 = 5 cm.

8 0
3 years ago
Find the sum. (–7b + 8c) – (12a + 14) + (5a + 5b)
Semmy [17]
Combine like terms
Then you’ll get -7a-2b+8c-14 which is the answer.
3 0
3 years ago
Read 2 more answers
Hallie bought 20 lollipops for $0.25 each and 15 peppermint patties for $0.35. How much money did Hallie spend on candy?
Nastasia [14]

Answer:

She spent $10.25 on candy.

Step-by-step explanation:

Step 1- Multiply

20×0.25= 5

15×0.35= 5.25

Step 2- Add

5+5.25= 10.25

7 0
3 years ago
Read 2 more answers
Please help I'm confused. It's finding a function
shepuryov [24]
Easy, that is the slope from (2,f(2)) to (3,f(3))

remember that the slope between the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)

find f(2) and f(3)
f(2)=2²+6(2)+5=4+12+5=21
f(3)=3²+6(3)+5=9+18+5=32

so the slope from (2,21) to (3,32) is (32-21)/(3-2)=11/1=11

answer is 11
3 0
3 years ago
F(x) = x^2. What is g(x)?
fredd [130]

Good evening ,

Answer:

B. g(x)= -x² - 4

___________________

Step-by-step explanation:

The graph of g is downward facing then we must have (-) before the x²

Since, The vertex of parabola g is on point (0 ,-4) then we have to subtract 4.

:)

3 0
3 years ago
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