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dimulka [17.4K]
3 years ago
12

Two consecutive integers have sum of 137

Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0
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PLEASE ANSWER!!!!! IN A PARAGRAPH
nadya68 [22]

Answer:The United States Electoral College is the group of presidential electors required by the ... They choose one elector per district and two electors for the ticket with the ... on the count of both voter and non-voter residents for state apportionment. ... there can be a president elected who does not win the national popular vote.

Step-by-step explanation:

3 0
2 years ago
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Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x − 2) true?​
rodikova [14]
You’d have to solve your equations!

they’d be the same when x=-56

and when x=-56 they’d BOTH equal -27

8 0
2 years ago
The size of a certain cell is2.5×10^-9m another cell is 1.5×10^3 times larger how large is the cell in scientific notation
Ludmilka [50]
The answer is  <span>2.5 × 10⁻⁹ × 1.5 × 10³ = 3.75 × 10⁻⁶ </span>
8 0
3 years ago
Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

f(x)=3(x-3)^2-3

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

f(x)=(x+2)^2+3

Therefore, the correct option is  4.

(5)

The given equation is,

h=-16t^2+672t

It can be written as,

h=-16(t^2-42t)

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

x=\frac{b}{2a}

x=\frac{42}{2}

x=21

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

f(x)=3x^3-12x^2-15x

f(x)=3x(x^2-4x-5)

Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

f(x)=3x(x(x-5)+1(x-5))

f(x)=3x(x-5)(x+1)

Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0
3 years ago
Exhibit 10-7 In order to estimate the difference between the average hourly wages of employees of two branches of a department s
Leokris [45]

Answer:

E(x)=1

Step-by-step explanation:

From the question we are told that:

Sample mean 1 \=x_1=$9

Sample mean 1 \=x_2=$8

Sample standard deviation 1 \sigma_1 = $2

Sample standard deviation 1 \sigma_2 = $1

Generally the equation for Point estimate is mathematically given by

E(x)=\=x_1-\=x_2

E(x)=9-8

E(x)=1

8 0
2 years ago
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