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faust18 [17]
3 years ago
13

Evaluate piecewise functions Pls answer

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
7 0

Step-by-step explanation:

<u>Step 1:  Find which piece-wise function it is in</u>

<em>Equation 1</em> → x < -7

Let x = -5 → (-5) < -7 ← False

<em>Equation 2 </em>→ -7 ≤ x < -5

Let x = -5 → -7 ≤ (-5) < -5 ← False

<em>Equation 3 </em>→ x ≥ -5

Let x = -5 → (-5) ≥ -5 ← True

<u>Step 2:  Find the value of h(-5)</u>

h(-5) = 4x - 3

h(-5) = 4(-5) - 3

h(-5) = -20 - 3

h(-5) = -23

Answer:  h(-5) = -23

Andrew [12]3 years ago
5 0

Answer:

-23

Step-by-step explanation:

x = -5 lies in the last piece

h(-5) = 4(-5) - 3

= -20 - 3

= -23

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maze going to the lake to visit some friends at the lake is 60 miles away and Renee is driving 40 mph the entire time how long w
mojhsa [17]

Answer:

it will take her an hour and 25 minutes roughly

Step-by-step explanation:

7 0
3 years ago
Elena went on a 6-mile walk. She completed the first half of the walk 1 mi/h faster than usual and the second half of the walk 2
xxTIMURxx [149]

Answer:

Her usual rate is 0.8333 miles per hour.

Step-by-step explanation:

The velocity formula is given by:

v = \frac{d}{t}

In which d is the distance and t is the time.

She completed the first half of the walk 1 mi/h faster than usual

Her usual rate is v. 1mph faster is v + 1.

The second half of the walk 2 mi/h slower than the first half.

The first half is v + 1.

2mph slower is v + 1 - 2 = v - 1. Then

Total rate:

7.2 hours, and 6 miles. So

One half is v+1 and the other is v - 1. This is why each is multiplied by 0.5.

0.5(v + 1) + 0.5(v - 1) = \frac{6}{7.2}

0.5v + 0.5 + 0.5v - 0.5 = 0.8333

v = 0.8333

Her usual rate is 0.8333 miles per hour.

8 0
3 years ago
Is 8 the HCF of 32, 48 and 72?
Sergio [31]

Step 1

<u>Find the factors of each number</u>

we know that

32=2^{5} \\48=2^{4}*3\\72=2^{3}*3^{2}

Step 2

<u>Find the greatest common factor (GCF)</u>

the GCF is equal to----------> 2^{3}=8

therefore

<u>the answer is</u>

The GCF is 8

3 0
3 years ago
Read 2 more answers
Find csc x if sin x + cot x cos x =√3.
Oksi-84 [34.3K]

Answer:

The answer is (d) ⇒ cscx = √3

Step-by-step explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3

7 0
3 years ago
6. The expected life of a calculator varies inversely with the amount of times a student
loris [4]

9514 1404 393

Answer:

  250 days

Step-by-step explanation:

If the number of drops increases by a factor of 20/8, the expected life will decrease by the inverse of that factor: 8/20.

The expected life is (8/20)(625 days) = 250 days.

6 0
3 years ago
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