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olchik [2.2K]
3 years ago
7

Which first step for solving the given system using substitution results in an equation without fractions?

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0
The correct answer is solve for y in the second equation.

Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. ...
Step 2: Subtract the second equation from the first.
Step 3: Solve this new equation for y.
Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.
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Jenny is twice as old as William. 4 years ago she was six times as old as William. In 6 years time Jenny will be?
Anni [7]
The answer is D, 10. 4 years ago she was 6, so William must have been 1 (1/6 of 6). In 6 years time she will be 16 (10+[4+6 years]).
5 0
3 years ago
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If f(x) = 2x^2 + 2, find f(5)
zlopas [31]

Well, following the order of PEMDAS, I got choice B. 52

For instance, when you plug in 5 for x, you get F(5)=2(5)^2+2.

Moreover, following PEMDAS, you're supposed to solve what's inside the parenthesis, but since there is no operation going on inside the parenthesis, then you simple move on to the exponent.

In this case, you square the number 5, which gives you F(5)=2(25)+2

After that, you Multiply (letter M in PEMDAS). This results in F(5)=50+2.

Finally, you add them, which results in F=52.


By the way, I noticed a mistake in your work. When multiplying 2 by 5, the answer is 10, not 20.

Anyway, hope this helped! :-)  

8 0
3 years ago
Why is (8+5)/25 irrational
laiz [17]

(8+5)/25 is rational. It simplifies down to a rational decimal.

(8+5/25)
13/25
0.52

3 0
11 months ago
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Arc length for xy I’ve been stuck on this for a while
Contact [7]

Answer:

12.22

Step-by-step explanation:

There are 360° in a full circle

The circumference of a circle is c = 2πr

----------------------------------

The lenght of the arc will be the portion of the circumferece included in the angle

l = (∅/360) * 2πr

plug in the knowns

l = (70/360) * 2π(10)

l ≈ 12.22

7 0
2 years ago
A rectangle has a length 10 more than its width. If the width is increased by 8 and the length by 4, the resulting rectangle has
labwork [276]

The equation to model the above scenario is x^{2} +22x - 23 = 0

The perimeter of the expanded rectangle is 48 units

<h3>What is a rectangle?</h3>

A rectangle is a quadrilateral with its 4 angles 90°

Analysis:

First rectangle:

length = 10 + x

width = x

Second rectangle:

length = x + 14

width = x + 8

Area of expanded rectangle = 135 square unit

(x+8)(x+14) = 135

x^{2} + 8x + 14x + 112 = 135

x^{2} + 8x + 14x -23 = 0

x^{2} + 22x -23 = 0

x^{2} + 23x - x - 23 = 0

(x-1)(x+23) = 0

Therefore x = 1

Expanded length = 1+14 = 15

Expanded width = 1+8 = 9

Perimeter = 2(9+15) = 48 units

Learn more about Rectangles: brainly.com/question/25292087

#SPJ1

3 0
1 year ago
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