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Brilliant_brown [7]
2 years ago
6

How do I solve the following equation

Mathematics
2 answers:
nalin [4]2 years ago
7 0

Answer:

z = 72

Step-by-step explanation:

-1/4z + 12 = -6

× 4

-z + 48 = - 24

-z = - 72

z = 72

Tatiana [17]2 years ago
4 0
-6-12=-1/4z
-18=-1/4z
Z=-18/-./25
Z=72

Plz check it
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Three consecutive integers whose sum is -147
suter [353]

Step-by-step explanation:

Let the first integer be x

2nd integer = x + 1

3rd integer = x + 2

x + x + 1 + x + 2 = -147

3x + 3 = -147

3x = -147 - 3

3x = -150

x = -150 ÷ 3

x = -50

The three consecutive integers are

-50, -49, -48

5 0
3 years ago
City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of
NNADVOKAT [17]
<h2>Hello!</h2>

The answer is:

The correct option is the third option,

L(p(x))=2.425(1.082)^{x}

<h2>Why?</h2>

From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).

We are given:

p(x)=2.5(1.082)^{x}

and

L(p(x))=p(0.97)

So, the evaluationg p(x) into L(p), we have:

L(p(x))=p(0.97)\\\\L(p(x))=2.5(1.082)^{x}*(0.97)=0.97*2.5(1.082)^{x} \\\\L(p(x))=0.97*2.5(1.082)^{x}=2.425(1.082)^{x}\\\\L(p(x))=2.425(1.082)^{x}

Hence, the correct option is:

The third option,  

L(p(x))=2.425(1.082)^{x}

Have a nice day!

6 0
3 years ago
What is the measure of arc bc?<br> A. 76<br> B. 40<br> C. 96<br> D. 58
Veseljchak [2.6K]

Answer:

  A.  76

Step-by-step explanation:

Angle A is half the difference between the measures of arc DE and BC.

  m∠A = (1/2)(DE -BC)

  20 = (1/2)(116 -BC) . . . . substitute the given values

  40 = 116 -BC . . . . . . . . multiply by 2

  BC = 116 -40 . . . . . . . . add BC -40

  BC = 76

_____

<em>Comment on intersecting secants</em>

When the secants intersect <em>inside</em> the circle, the angle where they cross is half the <em>sum</em> of the intercepted arcs. When they intersect <em>outside</em> the circle (as here), the angle where they meet is half the <em>difference</em> of the intercepted acs.

Sometimes it is easier to remember two related relationships than it is to remember just one of them.

4 0
3 years ago
he function a = –2x2 + 8x + 5 models the altitude a in feet of a ball thrown in the air and the horizontal distance in feet that
frozen [14]

Answer:

for part b the vertex is (2, 13)

Step-by-step explanation:

no (ice)

7 0
2 years ago
Jfh3vuhwyehFhhdjfhucndn j. M jo no ufjcifjcjJiaebvflijvearbhlresbBin kvlihesvrbihlbreslui serhliesbtyurksbf wethut Fliese hislde
Thepotemich [5.8K]

Answer:

Noice

plz make me brainliest uwu

6 0
3 years ago
Read 2 more answers
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