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Pavlova-9 [17]
3 years ago
9

What is the solution to 10(3x−5)=−20

Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Answer:

x = 1

Step-by-step explanation:

  1. Apply the distributive property. It should now look like this:                  30x - 50 = -20
  2. Add 50 to each side, so it now looks like this: 30x = 30
  3. Divide each side by 30 to cancel out the 30 next to x. It should now look like this: x = 1

I hope this helps!

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A car traveling east at 40.0 m/s passes a trooper hiding at the roadside. The driver uniformly reduces his speed to 25.0 m/s in
Anni [7]

Step-by-step explanation:

It is given that,

Initial speed of the car, u = 40 m/s

Final speed of the car, v = 25 m/s

Time taken, t = 3.5 s

(a) We need to find the magnitude and direction of the car’s acceleration as it slows down. It can be calculated using formula as :

a=\dfrac{v-u}{t}

a=\dfrac{25-40}{3.5}

a=-4.28\ m/s^2

The acceleration is in the opposite direction of motion i.e. west.

(b) Let s is the distance the car travel in the 3.5-s time period. It can be calculated using the third equation of motion as

s=\dfrac{v^2-u^2}{2a}

s=\dfrac{25^2-40^2}{2\times (-4.28)}

s = 113.9 meters

Hence, this is the required solution.

6 0
3 years ago
A parabola has a vertex at (4, 0) and passes through the point (6, 1). Which of the following is the equation of this parabola i
Doss [256]
Easy

y=a(x-h)^2+k
vertex is (h,k)
we know that vertex is (4,0)
input that point for (h,k)
y=a(x-4)^2+0
y=a(x-4)^2
passes thorugh the point (6,1)
input that point to find a
1=a(6-4)^2
1=a(2)^2
1=a(4)
divide both sides by 4
1/4=a

thefor the equation is
y=(1/4)(x-4)^2
or
y=(1/4)x^2-2x+4
7 0
3 years ago
The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.
s2008m [1.1K]

Answer:

<h3>              aₙ = 8n + 27</h3>

Step-by-step explanation:

a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27

8 0
3 years ago
Convert 29 inches to feet. Round answers to the nearest tenth
Bess [88]
29 ÷ 12 = 2.41667
Your answer is 2.4 feet
7 0
3 years ago
2y=8x What is the slope intercept form, slope, and y-intercept
kaheart [24]
Y-intercept: 0
Slope: 4

Explanation
Y-intercept is the number without the x which in this case is no number so it’s 0 so that’s where the point in the y axis goes

Slope is rise over run so if the equation is 2y = 8x then we can simplify this by dividing both sides by 2 which would be y = 4x so slope is 4/x. Which is basically 4/1 because the x means over one so up 4 units and to the right once


Hope this helps
3 0
2 years ago
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