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Semmy [17]
3 years ago
6

The graph represents f(x), and g(x) = 7x – 42.

Mathematics
1 answer:
Aliun [14]3 years ago
4 0
g(x)=7x-42\\\\\y-intercept\ of\ g(x):\\\\f(0)=7\cdot0-42=-42\to(0;\ -42)\\\\x-intercept\ of\ g(x):\\\\0=7x-42\ \ \ \ |+42\\7x=42\ \ \ |:7\\x=6\to(6;\ 0)

f(x)=ax+b\\\\y-intercept\ of\ f(x):\ (0;\ -3)\\\\x-intercept\ of\ f(x):\ (6;\ 0)

Answer:

A) the y-intercept of g(x) is less than the y-intercept of f(x).


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Write one word problem involving simultaneous linear equations.
amm1812

Answer:

Andre has more money than Bob.  If Andre gave Bob $20, they would have the same amount.  While if Bob gave Andre $22, Andre would then have twice as much as Bob.  How much does each one actually have?

Step-by-step explanation:

Here is the first sentence:

"If Andre gave Bob $20, they would have the same amount."

Algebraically:

1)   x − 20 = y + 20.

(Andre -- x -- has the same amount as Bob, after he gives him $20.)

Here is the second sentence:

"While if Bob gave Andre $22, Andre would then have twice as much

as Bob."

Algebraically:

2)   x + 22 = 2(y − 22).

(Andre has twice as much as Bob -- after Bob gives him $22.)

To solve any system of two equations, we must reduce it to one equation in one of the unknowns.  In this example, we can solve equation 1) for x --

x − 20 = y + 20

 implies   x = y + 40

-- and substitute it into equation 2):

y + 40 + 22 = 2(y − 22).

      That is,

y + 62 = 2y − 44,

y − 2y = − 44 − 62,

according to the techniques of Lesson 9,

−y = −106

y = 106.

Bob has $106.  Therefore, according to the exression for x, Andre has

106 + 40 = $146.

I hope this helps u! :D

7 0
3 years ago
How do I find the measure of the angle indicated with bold?
likoan [24]
I would suggest using a protractor
4 0
3 years ago
A glass jar has a height of 5 inches and a radius of 2. 5 inches. vanessa wants to fill the jar with beads that cost $0. 12 per
Shalnov [3]
Answer:
height(h)= 5in
radius(r) =2.5in
Volume(V)= pi ×r^2 ×h
V=(22/7)2.5^2×5=98.21in^3
$0.12=1 in^3
Amount to be paid= 0.12×98.21
=$11.79

Step-by-step explanation:
Firstly, find the volume of the jar. When the filled with the beads to the brim, it will assume the shape of the jar, hence their volume will be equal. We assume that the jar is a cylinder. After you find the volume, multiply the volume by the amount per cubic inches.
6 0
2 years ago
CAN SOMEONE PLEASE HELP ME WITH MY GEOMETRY HOMEWORK PLEASE?
Kay [80]

Answer:

Option A

Step-by-step explanation:

The complete question is shown in the attachment.

The sum of angles in a triangle is 180 degrees.

This implies that:

m\angle A+85+53=180

m<A+138=180

m<A=180-138=42

Now we use the sine rule to find AC=b

\frac{b}{\sin 85}=\frac{85}{\sin 42}

This implies that:

b=\frac{85}{\sin 42}*\sin 85

b=126.5

5 0
3 years ago
There are 8 ounces in 1 cup and 2 cups in 1 pint. Mrs. Tores picked 5 pints of blueberries
vlabodo [156]

Answer:

80 oz

Step-by-step explanation:

5 pints is 10 cups. 8 oz in a cup. Multiply 10(8) and you get 80 oz

5 0
3 years ago
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