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3 years ago

I'd appreciate it if anyone could help! :) Which graph represents the function?

Mathematics

1 answer:

Monica [59]3 years ago

3 0

Answer: Upper right corner

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How I got that answer:

The line y = x goes through (0,0) and (1,1). You would normally extend this line out as far as you can in both directions. However, the inequality x < -1 says you can only graph this if x is less than -1. We will not graph any part of the graph that is beyond x = -1 to the right. So we only have a small piece of it. The left piece of y = x. There is an open hole at the endpoint.

Similarly, y = -x is only graphed if x >= -1. We have a closed endpoint here. This graph goes through (0,0) and (1,-1). We erase the portion that is to the left of x = -1.

Doing all this leads to the upper right corner choice as our answer. The bottom right corner is close to the answer, but the open and closed endpoints are in the wrong spots.

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Without graphing the equations, decide whether the system has one solution, no solution, or infinitely many solutions.

lbvjy [14]

It has one solution

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2 years ago

Joe borrowed $2,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 8 years?

storchak [24]

Answer:

Do 2000 x 8

Step-by-step explanation:

16,0000

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3 years ago

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How do I write the following number in scientific notation? 788,000

Leni [432]

Scientific notation : 7.88 × 105

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1 year ago

from the top of a 120-foot high tower an air traffic controller observes an airplane on the runway at an angle of depression of

Crazy boy [7]

Data:
h (Tower height) = 120 ft
d (Distance from the base of the tower to the airplane) = ?
 $\alpha$ (Angle formed from observation of the tower to the airplane)=19º

Data: tg 19º ≈ 0.34

Note: The angle formed is tangent to the height of the tower and the distance from the base of the tower to the airplane.

Formula:
 $tg \alpha = \frac{opposite\:leg}{adjacent\:leg}$

Solving:
 $tg \alpha = \frac{opposite\:leg}{adjacent\:leg}$
$tg 19^0 = \frac{h}{d}$
$tg 19^0 = \frac{120}{d}$
$0.34 = \frac{120}{d}$
$0.34*d = 120$
$0.34d = 120$
$d = \frac{120}{0.34}$
$\boxed{\boed{d \approx 352.9\:ft}}\end{array}}\qquad\quad\checkmark$

Answer:
Distance from the base of the tower to the airplane is aproximately 352.9 ft

6 0

3 years ago

2. After the translation, where Is Alocated? Write your answer in the space below. Text

Nataly_w [17]

9514 1404 393

Answer:

A'(-3, 13)

Step-by-step explanation:

The transformation that moves a point 4 left and 8 up is ...

(x, y) ⇒ (x -4, y +8)

The transformation that reflects a point across the y-axis is ...

(x, y) ⇒ (-x, y)

Applied after the translation, the transformation of ∆ABC becomes ...

(x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)

Then point A gets moved to ...

A(7, 5) ⇒ A'(4 -7, 5 +8) = A'(-3, 13)

___

In the attached graph, the purple triangle is the result of the translation 4 left and up 8. Then the blue one is after reflection across the y-axis.

6 0

2 years ago