1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tomtit [17]
4 years ago
14

Prove algebraically that each expression has the same value by evaluating each expression for y=5:

Mathematics
1 answer:
Illusion [34]4 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

Given two expressions

7(3y-5)-2(10+4y)

and

13y-55

Substitute y = 5 into each expression:

1.

7(3y-5)-2(10+4y)\\ \\=7(3\cdot 5-5)-2(10+4\cdot 5)\\ \\=7\cdot (15-5)-2\cdot (10+20)\\ \\=7\cdot 10-2\cdot 30\\ \\=70-60\\ \\=10

2.

13y-55\\ \\=13\cdot 5-55\\ \\=65-55\\ \\=10

As you can see the results are the same.

You might be interested in
For the function shown below, find f(3): f(x)=2x^4-8x^2+5x-7
a_sh-v [17]

We have been given the function

f(x)=2x^4-8x^2+5x-7

We have to find the value of f(3). In order to find the same, substitute x=3 in the given function.

f(3)=2(3)^4-8(3)^2+5(3)-7

Now, we simplify this step by step.

First of all 3^4=81\text{ and }3^2=9. Thus, we have

f(3)=2\times 81 -8\times 9+5(3)-7

Now, we can easily simplify it by PEMDAS

f(3)=162-72+15-7

f(3)=98


Therefore, the value of f(3) is 98.

3 0
3 years ago
Read 2 more answers
Alex wants to have $3000 in his bank account after 4 years. If the account earns 6% interest compounded 2 times per year, how mu
DedPeter [7]
3,000÷(1+0.06÷2)^(2×4)
=2,368.23
5 0
3 years ago
Which pair of undefined terms is used to define the term parallel lines
harina [27]
<span>After a thorough research, there exists the same question that have choices.

</span><span>Point, line
Line, plane
Coplanar, line
Point, coplanar </span><span>

The correct answer is "Coplanar, Line." The pair of undefined terms that is used to define the term parallel line is "Coplanar, Line" because parallel lines are coplanar in itself that do not intersect.</span>
6 0
3 years ago
Read 2 more answers
Sketch the region enclosed by y=e3x,y=e5x and x=1. Decide whether to integrate with respect to x or y, and then find the area of
Lina20 [59]

The area of the region is \text { Area } \approx 23.12

Explanation:

The area of the region is given by

\text { Area }=\int_{0}^{1}\left(e^{5 x}-e^{3 x}\right) d x

Integrating the terms inside the bracket, we get,

\left[\frac{e^{5 x}}{5}-\frac{e^{3 x}}{3}\right]

Now, applying the limits for x for the integrated term,

Area=\frac{e^{5}}{5}-\frac{e^{3}}{3}-\frac{e^{0}}{5}+\frac{e^{0}}{3}

Any number to the power of zero is one. Thus, substituting the values, we get,

Area=\frac{e^{5}}{5}-\frac{e^{3}}{3}-\frac{1}{5}+\frac{1}{3}

Adding the like terms,

Area=\frac{e^{5}}{5}-\frac{e^{3}}{3}+\frac{2}{15}

Simplifying the terms, we get,

\text { Area } \approx 23.12

Thus, The area of the region is \text { Area } \approx 23.12

4 0
4 years ago
PLEASE HELP!!! I can't figure this out! <br><br> (3x^2-5x+4)/(x+1)≤2
kondor19780726 [428]
I believe it is 2 or 1/3 <span>≤ 0</span>
7 0
3 years ago
Other questions:
  • Solve.<br><br> 14n + 6p - 8n = 18p for n
    7·2 answers
  • HOW DO YOU SEE IT The diagram represents the number of students in a school with brown eyes,
    7·1 answer
  • Five years ago, Karma was one third as old as her father then. In five years, Karma will be half as old as her father will be th
    8·1 answer
  • The slope is 35. The y-intercept is 550. what can you conclude?
    11·1 answer
  • A construction crew is lengthening a road. Let L be the total length of the road (in miles). Let D be the number of days the cre
    11·1 answer
  • A biker travels the 120 mi from New York , NY to Wilmington, DE in 8 hours. A bus, a truck, and a rider on a horse take the same
    12·1 answer
  • For Matthew's lemonade recipe, 4 lemons are required to make 6 cups of lemonade. At what rate are lemons being used in cups of l
    8·1 answer
  • Please help me its very urgent!​
    5·1 answer
  • Someone please solve this for me
    13·1 answer
  • What is the length of the missing leg? If necessary, round to the nearest tenth.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!