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ira [324]
3 years ago
8

What is the solution to the proportion? 5/x = 2/16

Mathematics
1 answer:
mixas84 [53]3 years ago
5 0

Answer:

I believe the answer is X=40

Step-by-step explanation:

cross multiply 5*16 = X * 2

Multiply 5*16

80= X*2

Add '-2x' to each side of the equation

80 + -2x = 2x + -2x

Combine like terms

80 + -2x = 0

Add '-80' to each side of the equation.

80 + -80 + -2x = 0 + -80

Combine like terms: 80 + -80 = 0

0 + -2x = 0 + -80

-2x = 0 + -80

Combine like terms: 0 + -80 = -80

-2x = -80

Divide each side by '-2'.

x = 40

Simplifying

x = 40

Hope this helped :)

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suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the eq
lesya [120]

Answer:

<h3>            f(x) = - 3(x + 8)² + 2</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k   - the vertex form of the quadratic function with vertex    (h, k)

the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8

the <u>maximum height of 2</u> means  k = 2

So:

f(x) = a(x - (-8))² + 2

f(x) = a(x + 8)² + 2   - the vertex form of the quadratic function with vertex   (-8, 2)

The parabola passing through the point (-7, -1) means that if x = -7 then        f(x) = -1

so:

    -1 = a(-7 + 8)² + 2

 -1 -2 = a(1)² + 2 -2

      -3 = a

Threfore:

The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:

                                 <u>f(x) = -3(x + 8)² + 2</u>

8 0
3 years ago
Which best describes the range of the function f(x) = Two-thirds(6)x after it has been reflected over the x-axis?
stiv31 [10]

Answer:

y > 0 best describes the range of the function f(x) = 2(3)x. A function whose value is a constant raised to the power of the argument, especially the function where the constant is e

Step-by-step explanation:

10 1
3 years ago
Read 2 more answers
Find the 99th term of the arithmetic sequence 2, -3, -8,...
3241004551 [841]

Answer:

the sequence is by -5

therefore the next numbers are

-13,-18,-23,-28

7 0
3 years ago
Standard deviation of 300, 785, 670, 187, 760, 724
White raven [17]
STEP 1

Mean = \frac{300+785+670+187+760+724}{6} = \frac{3426}{6}=571

STEP 2

Subtract the mean from each data value then square the answer
300-571=-271 ⇒ (-271)^{2} =73441
785-571=214 ⇒ (214)^{2}=45796
670-571=99 ⇒ (99)^{2}=9801
187-571=-384 ⇒ (-384)^{2} =147456
760-571=189 ⇒ 189^{2}=35721
724-571=153 ⇒ 153^{2} =23409

STEP 3

Add the squared answers in STEP 2 then find the mean

\frac{73441+45796+9801+147456+35721+23409}{6}= \frac{335624}{6}=55937.3

STEP 4

Square root the answer in STEP 3
\sqrt{55937.3} =236.5

Standard deviation is 236.5
 
7 0
3 years ago
30 people go for dinner it costs £240.93 how much should each person pay
yKpoI14uk [10]
The answer is 8.031 per person 
5 0
3 years ago
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