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LuckyWell [14K]
3 years ago
11

Let f (x) = -1/2(x + 2)+ 5

Mathematics
1 answer:
bogdanovich [222]3 years ago
8 0

Answer:

Rate of change = -1

Step-by-step explanation:

Given:

f(x) = -½(x + 2)² + 5

Required:

Average rate of change from x = -3 to x = 1

Solution:

Rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = -3,

f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5

b = 1,

f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5

Plug in the values into the formula:

Rate of change = \frac{0.5 - 4.5}{1 - (-3)}

Rate of change = \frac{-4}{4}

Rate of change = -1

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Need help asap, marking first as brainliest, would really appreciate it.
kow [346]

Answer:

B. One solution

Step-by-step explanation:

Here are a system of how two equations can be classified ;

• If the gradients are the same but the y-intercepts are different, the system has no solution.

• If the gradients are different, the system has one solution.

• If the gradients are the same and the y-intercepts are the same, the system has infinitely many solutions.

Y= (x/4) + 3

When x =1

y= 13/4

When x=3

y= 15/4

Gradient of Y= (x/4) + 3

=∆y/∆x

= (15/4 - 13/4)/ ( 3-1)

=( 2/4)÷ 2

=( 2/4 ) × (1/2)

= 1/4

-4x + y = 4

When x= 1

Y= 8

When x=3

Y=16

Gradient of -4x + y = 4

=∆y/∆x

= (16 - 8)/(3-1)= 8/2 = 4

Since the gradients are different then the system has one solution.

3 0
3 years ago
Please help me-<br><br> ill be your friend if you do-<br><br> hurry please-
ololo11 [35]

Answer: B) 400/3 Pi ft^3

Step-by-step explanation:

V=πr2h

3=π·52·16

3≈418.87902

and

400 /3

(3.141593)

=418.87902

so its B

3 0
3 years ago
I need help with the first one
Rom4ik [11]

Answer:

$2.10

Step-by-step explanation:

because...

you get 35 and multiply it by 6%

which equals 2.1

so that means its $2.10

because you just add the dollar sighn and a zero to the end of it.

3 0
3 years ago
A: Tomato - 20<br><br> B: Cucumber- 9<br><br> C: Peas - 27<br><br> D: Onion - 6
Sliva [168]

Answer:

A(tomatos)

Step-by-step explanation:

So to sovle these, we have to look at the percentage chart, and take the percentage of each thing.

  • tomato - 30%
  • cucumber - 15%
  • peas - 45%
  • onion - 10%

We know that divide these numbers by 100 gets us the amount we can multiply the total by, which gives us our answer.

So tomato is .3, cucumber is .15, peas are .45, and onion is .1.

Now, lets mutiply these nubmers by the 60 and see what we get:

.1*60

=

6

That seems correcdt for the onion

.45 * 60

=

27. That looks correct for peas.

.15 * 60

=

9 That looks correct for cucumber

.3*60

=

18. Thats not 20! So that must be the answer!

Hope this helps!

3 0
3 years ago
Divide and answer in simplest form:
Ulleksa [173]
13 divided by 5 is 2.6
3 0
4 years ago
Read 2 more answers
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