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Lana71 [14]
3 years ago
7

Complete this proof.

Mathematics
2 answers:
devlian [24]3 years ago
5 0
I hope this helps you get your assignment done!

Alja [10]3 years ago
3 0

Answer:

1) distributive property

2) subtraction property of equality

3) division property of equality

Step-by-step explanation:

Given : If \frac{1}{2}(8x+14)=39 , then x=8

To complete the proof :

Solution :

Following are the complete steps or proof of solving the given expression,

\frac{1}{2}(8x+14)=39  is given

4x + 7 = 39 - distributive property

4x = 32 - subtraction property of equality

x = 8 - division property of equality

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On the provided graph, select the locations of the x-intercepts of the following polynomial function. x^3-7x^2-26x+72
matrenka [14]

Answer:

The x-intercepts are the points (-4,0). (2,0) and (9,0)

The location of the x-intercepts in the attached figure

Step-by-step explanation:

we know that

The x-intercepts of a function are the values of x when the value of the function is equal to zero

we have

f(x)=x^{3}-7x^{2}-26x+72

using a graphing tool

The x-intercepts are the points (-4,0). (2,0) and (9,0)

see the attached figure

5 0
3 years ago
Read 2 more answers
Find the values of x (there are two) when the ratio of the area of the shaded portion of the figure to the total area of the fig
Arada [10]

The values of x are x = -0.77 and x = 3.27

<h3>How to determine the value of x?</h3>

To calculate the value of x. we start by using the following equivalent ratio

2x : (3.5 + x + 1.5) = x + 0.5 : x + 1.5

Evaluate the like terms

2x : (5 + x) = x + 0.5 : x + 1.5

Express the ratio as a fraction

2x/5 + x = x + 0.5/x + 1.5

Cross multiply

2x(x + 1.5) = (5 + x)(x + 0.5)

Open the brackets

2x^2 + 3x = 5x + 2.5 + x^2 + 0.5x

Evaluate the like terms

x^2 - 2.5x - 2.5 = 0

Using a graphing calculator, we have

x = -0.77 and x = 3.27

Hence, the values of x are x = -0.77 and x = 3.27

Read more about triangles at:

brainly.com/question/17335144

#SPJ1

6 0
1 year ago
The pattern 7, 8, 10, ________, ________ follows the rule multiply by 2, then subtract 6. What are the next two terms?
Y_Kistochka [10]

Answer:

14 22

Step-by-step explanation:

i think it is

4 0
2 years ago
Read 2 more answers
Nina and Jo both ran a 9 km race.
Wittaler [7]

9514 1404 393

Answer:

  7.83 km/h

Step-by-step explanation:

At her constant pace, Nina's time for 6 km will be found by the proportion ...

  (time for 6 km)/(6 km) = (time for 9 km)/(9 km)

  time for 6 km = (6 km)/(9 km) × (75 min) = 50 min

Jo's time for the same distance will be 4 minutes less: 50 -4 = 46 min. Jo's speed is ...

  speed = distance/time

  = (6 km)/(46/60 h) = 360/46 h ≈ 7.83 km/h . . . . Jo's speed

_____

<em>Additional comment</em>

From the 6 km point, the remaining race is half the distance already run, so will take half the time already taken. As we know, Nina will finish in 25 more minutes; Jo will finish in 46/2 = 23 more minutes, 2 minutes ahead of Nina.

7 0
2 years ago
The sides of a rectangle are 6.3 cm and 4.8cm, each correct to 1 decimal place.
Effectus [21]
Error= 0.1/2, 0.05

4.8 + 0.05 = 4.85
6.3 + 0.05 = 6.35

4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).
8 0
3 years ago
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