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2 years ago

8

The function f(x) is represented by this table of values. x f(x) -5 35 -4 24 -3 15 -2 8 -1 3 0 0 1 -1 Match the average rates of

change of f(x) to the corresponding intervals. -3 -8 -7 -4 [-5, -1] arrowRight [-4, -1] arrowRight [-3, 1] arrowRight [-2, 1] arrowRight

1 answer:

7nadin3 [17]2 years ago

3 0

If f:R→R is defined by

f(x)=⎧⎩⎨⎪⎪x+4 for x<−43x+2 for −4≤x<4x−4 for x≥4

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Triangle ABC has vertices at A(2, 2), B(4,7), and C(6,2). Classify the triangle according to the side lengths.

zmey [24]

Answer:

Isosceles triangle

Step-by-step explanation:

Length AB

√(4 - 2)² + (7 - 2)²

√2² + 5²

√4 + 25

√29

Length AC

6 - 2 = 4

Length BC

√(6 - 4)² + (2 - 7)²

√2² + (-5)²

√4 + 25

√29

Length AB and BC is the same.

Length AC is the longest side.

Therefore, it is an isosceles triangle.

4 0

3 years ago

Susan needs 228 ounces of fruit juice for a party. She is choosing between two brands of juice. She finds the unit rate of each

Sergio [31]

Answer:

"Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce."

In order to find the rounded cost per one item (in this case, per one ounce) Susan needs to divide the total price between the number of units and after that, round the result obtained up to the nearest cent.

Therefore:

Brand A

2.55$/12 ounces= 0.2125 $/ounce

As the third decimal digit, 2, is closer to 0 than to 9, then we maintain the second decimal digit as 1.

The price per unit of brand A after rounding it up is 0.21 $ per ounce

Brand B

1.45$/8 ounces= 0.1812

As the third decimal digit, 1, is closer to 0 than to 9, then we maintain the second decimal digit as 8.

The price per unit of brand B after rounding it up is 0.18 $ per ounce

4 0

3 years ago

4/5k = 12 what is the answer because I am a not smart 6th grader

shusha [124]

Answer:

k = 15

Step-by-step explanation: pls thank me and mark me brainliest :3

4 0

2 years ago

construct a right-angled triangle ABC where angle A =90 degree , BC= 4.5cm and AC= 7cm. please ans fast........ Very urgent. Pls

Katena32 [7]

Answer and Step-by-step explanation: The described right triangle is in the attachment.

As it is shown, AC is the hypotenuse and BC and AB are the sides, so use Pytagorean Theorem to find the unknown measure:

AC² = AB² + BC²

$AB^{2} = AC^{2}-BC^{2}$

$AB =\sqrt{AC^{2}-BC^{2}}$

$AB =\sqrt{7^{2}-4.5^{2}}$

$AB =\sqrt{28.75}$

AB = 5.4

Then, right triangle ABC measures:

AB = 5.4cm

BC = 4.5cm

AC = 7cm

6 0

3 years ago

9) Nancy starts a race at the start line and she is running 3 meters per second. Juan starts the same race 3 meters ahead of Nan

Travka [436]

Given:

Nancy is running 3 meters per second.

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.

To find:

The equations for Nancy and Juan.

Solution:

Let x be the number of seconds.

Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is

$y=3x$

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is

$y=3+2x$

Therefore, the equations of Nancy and Juan are $y=3x$ and $y=3+2x$ respectively.

5 0

3 years ago