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vredina [299]
3 years ago
10

Translate: The product of 8 and the sum of a number and -4

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

Below

Let x be that number

● 8 (x-4)

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Yan is climbing down a ladder. Each time he descends four rungs on the ladder, he stops to see how much farther he has to go
anastassius [24]

Question:

Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stopped to see how much farther he has to go. If Yan made eight stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan and climbed?

4+4+4+4

8+8+8+8

(-1)(4+4+4+4)

(-8) + (-8) + (-8) + (-8)

Answer:

Total = (-8) +(-8) +(-8) +(-8)

Step-by-step explanation:

Given

<em></em>Rungs = -4<em> --- It is negative because he is climbing down</em>

Steps = 8

Required

An expression for the number of rungs climbed

To do this, we simply multiply the number of rungs by the steps taken.

Total = Rungs * Steps

Total = -4 * 8

This can be rewritten as:

Total = -8 * 4

The product, when written as sum is:

Total = (-8) +(-8) +(-8) +(-8)

8 0
3 years ago
F(x)=x+ 5<br> g(x) = x-4
TiliK225 [7]
-5 is for f(x)=x+5
4 is for g(x)=x-4
Hope this helps!!
4 0
3 years ago
show that the sum of the x- and y- intercepts of any tangent line to the curve sqrt(x) sqrt(y) = sqrt(c) is equal to c.
expeople1 [14]
The answer is <span>√x + √y = √c </span>
<span>=> 1/(2√x) + 1/(2√y) dy/dx = 0 </span>
<span>=> dy/dx = - √y/√x </span>

<span>Let (x', y') be any point on the curve </span>
<span>=> equation of the tangent at that point is </span>
<span>y - y' = - (√y'/√x') (x - x') </span>

<span>x-intercept of this tangent is obtained by plugging y = 0 </span>
<span>=> 0 - y' = - (√y'/√x') (x - x') </span>
<span>=> x = √(x'y') + x' </span>

<span>y-intercept of the tangent is obtained by plugging x = 0 </span>
<span>=> y - y' = - (√y'/√x') (0 - x') </span>
<span>=> y = y' + √(x'y') </span>

<span>Sum of the x and y intercepts </span>
<span>= √(x'y') + x' + y' + √(x'y') </span>
<span>= (√x' + √y')^2 </span>
<span>= (√c)^2 (because (x', y') is on the curve => √x' + √y' = √c) </span>
<span>= c.  hope this helps :D</span>
5 0
3 years ago
Write 1 2/3 as the sum of a whole number and two fractions that have the same denominator.
larisa [96]
1+1/3+1/3 because 1/3 and 1/3 have the same denominator.
7 0
2 years ago
Naila worked 3.5 hours more than Lisa. Together, they worked a total of 18 hours. Lisa worked h hours.
densk [106]

Answer:

Lisa = 7 hours and 15 minutes

Naila = 10 hours and 45 minutes

Step-by-step explanation:

Naila = N

Lisa = L

Naila worked:

N = 3.5 + L

In total, they worked:

N + L = 18

Lisa worked:

L = h

Substitute values into the total equation

3.5 + L  + L = 18

Solve

2L = 14.5

L = 7.25 = 7 hours and 15 minutes

N = 7.25 + 3.5 = 10.75 = 10 hours and 45 minutes

Hope this helps :)

7 0
3 years ago
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