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Finger [1]
3 years ago
12

Find the slope and a point on the line for the lines with the following equation y - 9 = -3/4(x + 4)

Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0

Answer:

Slope is -3/4 the y-intercept is (0,6)

Step-by-step explanation:

You might be interested in
If f(x) = x and g(x) = X + 2, which statement about the graphs of the functions is true?
Liula [17]

Answer: D

Step-by-step explanation: +2 would be an upwards translation

7 0
2 years ago
Five widgets and three gadgets cost $109. 90.
erma4kov [3.2K]

Answer:

one gadget costs $15.80

Step-by-step explanation:

Let w = cost of one widget

Let g = cost of one gadget

Given:

  • Five widgets and three gadgets cost $109. 90

⇒ 5w + 3g = 109.9

Given:

  • One widget and four gadgets cost $75. 70

⇒ w + 4g = 75.7

Rewrite  w + 4g = 75.7  to make w the subject:

⇒ w = 75.7 - 4g

Substitute into  5w + 3g = 109.9  and solve for g:

⇒ 5(75.7 - 4g) + 3g = 109.9

⇒ 378.5 - 20g + 3g = 109.9

⇒ 378.5 - 109.9 = 20g - 3g

⇒ 268.6 = 17g

⇒ g = 15.8

Therefore, one gadget costs $15.80

To find the cost of one widget, substitute the found value for g into
w = 75.7 - 4g and solve for w:

⇒ w = 75.7 - 4(15.8)

⇒ w = 75.7 - 63.2

⇒ w = 12.5

Therefore, one widget costs $12.50

5 0
2 years ago
What is P44 ? 16 24 4 1
sergejj [24]

Answer:

Page 44? you mean

Step-by-step explanation:

6 0
2 years ago
Fiona is typing an essay on her computer. She types 5/8 of a page in 1/2 hour. At this rate, how many pages can Fiona type in 1
andriy [413]

Answer:

5/4 page

Step-by-step explanation:

5/8 * 2 = 10/8 = 5/4

3 0
2 years ago
Question 1
enot [183]
We have that

<span>question 1
Add or subtract. 
4m2 − 10m3 − 3m2 + 20m3
=(4m2-3m2)+(20m3-10m3)
=m2+10m3

the answer is the option
</span><span>B: m2 + 10m3

</span><span>Question 2: 
Subtract. (9a3 + 6a2 − a) − (a3 + 6a − 3)
=(9a3-a3)+(6a2)+(-a-6a)+(-3)
=8a3+6a2-7a-3

the answer is the option
</span><span>B: 8a3 + 6a2 − 7a + 3 

</span><span>Question 3: 
A company distributes its product by train and by truck. The cost of distributing by train can be modeled as −0.06x2 + 35x − 135, and the cost of distributing by truck can be modeled as −0.03x2 + 29x − 165, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by truck. 


we have that
[</span>the cost of distributing by train]-[the cost of distributing by truck]
=[−0.06x2 + 35x − 135]-[−0.03x2 + 29x − 165]
<span>=(-0.06x2+0.03x2)+(35x-29x)+(-135+165)
=-0.03x2+6x+30

the answer is the option
</span><span>C: −0.03x2 + 6x + 30
</span><span>

</span>
6 0
3 years ago
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