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Alexxx [7]
3 years ago
14

For 3 consecutive odd integers, the result of adding the smallest integer to four times the largest integer is 121. What are the

3 integer?
Mathematics
1 answer:
irakobra [83]3 years ago
4 0

Answer: 21, 23, 25

Step-by-step explanation:

Let the integers be y, y+2 and y+4.

From the question, we are informed that the result of adding the smallest integer to four times the largest integer is 121. This can be mathematically expressed as:

y + 4(y+4) = 121

y + 4y + 16 = 121

5y + 16 = 121

5y = 121-16

5y = 105

y = 105/5

y = 21

Since y = 21,

y + 2 = 21 + 2 = 23

y + 4 = 21 + 4 = 25

The integers are 21,23 and 25

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Y'all I am struggling Use the following functions to find each value below. f(x)=5x; g(x)=−2x+1; h(x)=x2+6x+8
Anni [7]

Answer:

see below the first three problems

Step-by-step explanation:

f(g(-2))

First, find g(-2) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(-2) = -2(-2) + 1

g(-2) = 5

f(x) = 5x

f(5) = 5(5)

f(5) = 25

f(g(-2)) = 25

g(h(3))

First, find h(3) using function h(x). Then use that value as input for function g(x).

h(x) = x^2 + 6x + 8

h(3) = 3^2 + 6(3) + 8 = 9 + 18 + 8

h(3) = 35

g(x) = -2x + 1

g(35) = -2(35) + 1 = -70 + 1

g(35) = -69

g(h(3)) = -69

f(g(3a))

First, find g(3a) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(3a) = -2(3a) + 1

g(3a) = -6a + 1

f(x) = 5x

f(-6a + 1) = 5(-6a + 1)

f(-6a + 1) = -30a + 5

f(g(3a)) = -30a + 5

5 0
3 years ago
Complete the number pattern for 3,400,00 34,000 ______ 3.4 ______
Dmitrij [34]

The blank answers are 340 and 0.34

5 0
3 years ago
On a vacation in Puerto Rico rose jumped off a cliff into a river in El Yunque go forest reserve her height as a function of tim
gayaneshka [121]

Answer: t = 6 s

Step-by-step explanation:

When Rose hit the water, the height of the jump is 0, so: h(t) = 0.

Resolving it, we have:

-16t² + 16t + 480 = 0

To simplify the second degree equation, divided it by 16:

-t² + t + 30 = 0

Now, solve the equation using Bhaskara:

Δ = 1² - 4. (-1) . 30

Δ = 1 + 120

Δ = 121

t = \frac{-1+\sqrt{121} }{-2}

t₁ = \frac{-1 + 11}{-2} = - 5

t₂ = \frac{-11-11}{-2} = 6

Since time can be negative, it took t = 6s for Rose to hit the water.

6 0
3 years ago
What is the value of the function at x=−2?
adell [148]

x = -2

function value at x = -2 is intersection of the x value and graph

which is, 3

Hope it is clear:)

5 0
3 years ago
X^2 - (x-y)^2 •y. If x = -5 and y = -8
ki77a [65]
Equation: x² - (x - y)² * y

Substitute values for x and y into equation.

-> (-5)² - ( (-5) - (-8) )² * (-8)
-> 25 - (-5 + 8)² * (-8)
-> 25 - (3)² * (-8)
-> 25 - 9 * (-8)
-> 25 - (-72)
-> 25 + 72
-> 97
3 0
3 years ago
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