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Elenna [48]
3 years ago
13

A function h(x)=-5/7x-3. By how much h(x) will decrease/increase, if x decreases by 21.

Mathematics
1 answer:
Fofino [41]3 years ago
7 0

Answer:

  increase by 15

Step-by-step explanation:

We know the rate of change of h(x) is given by the coefficient of x, -5/7. This means any change in x will be reflected as a change in h(x) by -5/7 times the amount of the change.

Here, we're talking about a change in x of -21, so the change in h(x) will be ...

  (-5/7)·(-21) = 5·(21/7) = 15

The positive sign means the value of h(x) will increase by 15.

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Find the greatest common factor and the least common multiple of 16 and 20. The prime factorizations of each number are given.
kykrilka [37]

Answer:

GCF 4, LCM 80

Step-by-step explanation:

Since both 16 and 20 have two 2s as factor, their greatest common factor is 4.

The LCM is found by multiplying all of the remaining factors by the LCM:

16 still has (2 x 2), 20 still has (5), times the GCF (4)  so 2 x 2 x 5 x 4 = 80.

5 0
2 years ago
I need help on this the full answer
Elan Coil [88]

Answer:

t > 3

Step-by-step explanation:

1 hour = 194

582 / 194 = 3

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She needs to ride for more than 3 hours to burn more than 582 calories

5 0
3 years ago
Solve for x.<br><br> -3x = 15
castortr0y [4]

Answer:

x = -5

Step-by-step explanation:

1.  Divide both sides by -3

2. Simplify 15/-3 to 5

( 15 divided by -3 is -5)  

5 0
3 years ago
Read 2 more answers
A car travels at the rate of x miles per hour for y minutes. which of the following gives the number of miles the car has travel
harkovskaia [24]

Given that speed of car = x miles per hour

Time of travel = y minutes = y/60 hours

(Because there are 60 minutes in an hour)

We have to calculate distance travelled so we will use formula

Distance = speed * time

Distance = x * y/60

Distance = xy/60

Hence choice d) xy/60 is the final answer.

7 0
3 years ago
The grades on a language midterm at Oak Academy are roughly symmetric with = 67 and 0 = 2.5. Ishaan scored 70 on the exam. Find
rodikova [14]

Answer:  1.2

Step-by-step explanation:

Let X denotes the grades on a  language midterm at Oak Academy.

As per given ,

X follows normal distribution ( because it has symmetric graph)

\mu=67,\ \ \ \ \sigma= 2.5

Formula for z : z=\dfrac{X-\mu}{\sigma}

For X = 70, we have

z=\dfrac{70-67}{2.5}=\dfrac{3}{2.5}=1.2

Hence, the z-score for Ishaan's exam grade = 1.2

3 0
3 years ago
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