URGENT
what should be the first step in adding these equations to eliminate y?


3x + 4y = 8

+ 6x - 2y = 9

Answers

Answer 1

Answer:

Multiply the bottom equation by 2.

Step-by-step explanation:

The given equation are:

3x + 4y = 8

and 6x – 2y = 9

(1)

(2)

Now, in order to add these equations and eliminate y, we should multiply the bottom equation by 2, thus we have

3x + 4y = 8

12x – 4y= 18

(3)

(4)

Now, adding the above equations, we

have

15x 26

= 26 15

Now, substituting the value of x in equation (3), we have

3(25) + 4y=8

y=1

Answer 2

Answer:

Multiply the bottom equation by 2.

Step-by-step explanation:

A.P.E.X 2021


Related Questions

Write an expression in simplest form the perimeter of the figure ?

Answers

Answer:

4+11a+8b

Step-by-step explanation:

1) 4+3a+2b+6b+5a+3a

2) 3a+3a+5a=11a. 2b+6b=8b

PLEASE HELP WILL DO ANYTHING
For the past ten years, Michelle has been tracking the average annual rainfall in Boynton Beach, Florida by recording her data in the given table. She has concluded that the relationship can be modeled by a linear function.

Year. Average Rainfall(in inches)
2004. 62.33
2005 61.8
2006 61.27
2007 60.74
2008 60.21
2009 59.68
2010 59.15
2011 58.62
2012 58.09
2013. 57.56

Use the values provided in the table to create a linear graph of the data. On the graph, let x=0 represent the year 2004. Be sure to include all proper labels on the graph.

Answers

Answer:

it is decreasing

Step-by-step explanation:

Answer:

Its obviously decreasing

Step-by-step explanation:

Water runs from a pump at a rate of 0.5 gallons per minute. At this rate, how long would it take to fill a tub with a 150-gallon capacity?

Answers

Answer:

300 min or 5 hours

Step-by-step explanation:

so if it pumps 0.5 gallons per minute than in 2 minutes it would pump 1 whole gallon so with that we know 1gallon=2 minutes.

so with that we multipy both sides by 150 which will be 150 galons=300 minutes or 5 hours

_____ is 1/10 of 0.07?
I have no idea what the blank is...help me. :(

Answers

The answer is 0.007,all you have to do is divide your starting decimal by 10

Ben saved 172 coins. He saved nickels and dimes only. If he had $14, how many nickels did he have?​

Answers

Answer:

64 Nickels

Step-by-step explanation:

172 coins equal $14.00

It took time to figure this out, I just used a calculator to shimmy down the gap of possibilities, starting here;

100d = $10.00

72n = $3.60

I got closer here;

110d = $11.00

62n =$3.10

I subtracted 2 dimes and added 2 nickels from the previous to get the answer.

108d = $10.80

64n = $3.20

$10.80 + $3.20 = $14.00

Use the Distributive Property to solve the equation 4x - 2(x - 2) = - 7+ 4x + 3 The solution of the equation is​

Answers

Answer:

The answer is x = 4

Step-by-step explanation:

Jeff is lining up children and adults bicycle at bike shop where he work the children bicycle is nine less three times the number of adult bicycle there are 42adult bicycle how many child
ren bike are there

Answers

Answer:

Number of children bicycles = 117

Step-by-step explanation:

Given that:

Number of adult bicycles = a =  42

Let,

x represent the number of children bicycle

According to given statement;

The number of children bicycle is nine less three times the number of adult bicycles.

x = 3a - 9

Putting a=42

x = 3(42)-9

x = 126-9

x = 117

Hence,

Number of children bicycles = 117

midpoint between 10,0

Answers

Answer:

The correct answer is 5

Step-by-step explanation:

If f(x) = 2/3x^2 +8 , what is the value of f(6)?

Answers

Answer:

f(6) = 32

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 2/3x² + 8

f(6) is x = 6

Step 2: Evaluate

Substitute in x:                    f(6) = 2/3(6)² + 8Exponents:                          f(6) = 2/3(36) + 8Multiply:                               f(6) = 24 + 8Add:                                     f(6) = 32

Answer:

f(6)= 72

Step-by-step explanation:

f(6)= 72

to evaluate:

substitute x = 6 into

f(x)f(6)= 23 × (6) 2 + (8×6)×x = 231 × 3612+ 48

Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

c= 2sqrt55 or 14.83
formula= a^2+b^2=c^2
plug in
14^2+sqrt24^2=c^2
196+24=c^2
220=c^2
take the square root of each side
2sqrt55=c

suppose that the function g is defined on the interval (-2, 2] as follows.​

Answers

Answer:

We conclude that:

g(-1) = -1g(-0.25) = 0g(2) = 2

Step-by-step explanation:

From the given function g(x)

g(x) =   -1   if -2 < x ≤ -1

           0   if  -1 < x ≤ 0

            1    if  0 < x ≤ 1

            2   if  1 < x ≤ 2

 

When x = -1, then the correct value of g(-1) will be:

g(-1) = -1

The reason is that the output value of -1 includes the value of x = -1 in the interval, as  -1  if -2 < x ≤ -1 .

When x = -0.25, then the correct value of g(-0.25) will be:

g(-0.25) = 0

The reason is that the output value of 0 includes the value of x = -0.25 in the interval, as  0   if  -1 < x ≤ 0

When x = 2, then the correct value of g(2) will be:

g(2) = 2

The reason is that the output value of 2 includes the value of x = 2 in the interval, as 2   if  1 < x ≤ 2.

Therefore we conclude that:

g(-1) = -1g(-0.25) = 0g(2) = 2

Which of the points below does not belong?
(0, -3)
(0, 0)
(4, -3)
(4,0)

Answers

Answer:

c

Step-by-step explanation:

What is the composition of the translations (T ∘ T ) (x, y) as one translation

Answers

Answer:

Step-by-step explanation:

Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?

Answers

i believe your answer would be c

1. Given the production function: Q = A L½ K½ What returns to scale, does this function exhibit? Why?

Answers

Answer:

a. This function therefore exhibits a constant return to scale.

b. The reason is that the sum of the exponents of the multiplicative factor a is equal to 1.

Step-by-step explanation:

The given production function is first correctly stated as follows:

Q = A L^½ K^½ .......................... (1)

In order to know the returns to scale this function exhibits, the input K and L are scaled by the multiplicative factor a which is included in equation (1) as follows:

Q = A (aL)^½ (aK)^½

Q = A a^½L^½ a^½K^½

Q = A a^½ a^½ L^½  K^½

Q = A a^(½+½) L^½  K^½

Q = A a^1 L^½  K^½ ......................... (2)

Based on the equation (2), we now answer the following questions:

a. What returns to scale, does this function exhibit?

This function therefore exhibits a constant return to scale.

b. Why?

The reason is that the sum of the exponents of the multiplicative factor a in equation (2) is equal to 1.

The 3 x 5 matrix shows the number of sandwiches sold over five days at the school canteen. What does the number tell you which is: (06 Marks) (a) in the second row and the third column (b) in the third row and the fourth column (c) in the first row and the fifth column M T W T F Cheese 50 45 52 47 39 Salad 61 44 48 38 51 Chicken 53 46 39 42 52

Answers

Answer:

a. 48 salads were bought on Wednesday

b. 42 chickens were bought on Thursday

c. 39 cheese were bought on Friday

Step-by-step explanation:

Given

[tex]------- M -- T - W -- T -- F[/tex]

Cheese ----- 50 -- 45 - 52 - 47 --39

Salad -------- 61 -- 44 - - 48 - 38 -- 51

Chicken ---- 53 -- 46 - - 39 - 42 -- 52

First, it should be noted that the horizontal data represent the row while the vertical data represent the column.

Having said that, the solution is as follows:

Solving (a): Second Row, Third column

The data at the second row are:

[tex]------- M -- T - W -- T -- F[/tex]

Salad -------- 61 -- 44 - - 48 - 38 -- 51

The data at the third column is then limited to:

------------------W

Salad -------- 48

So the number at this position implies that: 48 salads were bought on Wednesday

Solving (b): Third Row, Fourth column

The data at the second row are:

[tex]------- M -- T - W -- T -- F[/tex]

Chicken ---- 53 -- 46 - - 39 - 42 -- 52

The data at the fourth column is then limited to:

------------------- T

Chicken ---- 42

So the number at this position implies that: 42 chickens were bought on Thursday

Solving (c): First Row, Fifth column

The data at the first row are:

[tex]------- M -- T - W -- T -- F[/tex]

Cheese ----- 50 -- 45 - 52 - 47 --39

The data at the fifth column is then limited to:

------------------F

Cheese ----- 39

So the number at this position implies that: 39 cheese were bought on Friday

If 3/5vof a cup of water fills 3/4 of a plastic container, how much water, in cups, is needed to fill one whole container?

Answers

Answer:

3/5 3/4

3/5*4/3=12/15=4/5

4/5 cups of water

because 4/3 is the reciprocal of 3/4 and so 3/4*4/3=1

What is the solution of StartRoot negative 4 x EndRoot = 100?

Answers

Answer:

x=-2500

Step-by-step explanation:

[tex]\sqrt{-4x} =100\\\\(\sqrt{-4x})^2=100^2\\\\-4x=10,000\\\\x=-\frac{10000}{4}\\\\x=-2500[/tex]

The given can be solved by simplifying the equation to make x the subject

of the equation.

The solution of the equation is x = -2,500

Reasons:

The equation is; √(-4·x) = 100

The above equation can be expressed as follows;

[tex]\displaystyle \sqrt{-4 \cdot x} = \left(-4 \cdot x \right)^{\frac{1}{2} } = \mathbf{100}[/tex]

By squaring both sides, we get;

[tex]\displaystyle \mathbf{ \left(-4 \cdot x \right)^{\frac{1}{2} \times 2 }} = 100^2[/tex]

Which gives;

[tex]\displaystyle \left(-4 \cdot x \right)^{\frac{1}{2} \times 2 } = \left(-4 \cdot x \right)^{1 }= -4 \cdot x = 100^2[/tex]

[tex]\displaystyle -4 \cdot x = 100^2 = 100 \times 100 = \mathbf{10,000}[/tex]

[tex]\displaystyle -4 \cdot x = 10,000[/tex]

Dividing both sides by -4 gives;

[tex]\displaystyle x = \mathbf{ \frac{10,000}{-4} } = -2,500[/tex]

Therefore'

x = -2,500

The solution of the equation √(-4·x) = 100 is; x = -2,500

Learn more about solving equations here:

https://brainly.com/question/7187454

PLEASE HELP ME WITH THIS
Elijah started a college fund of $25,000 for a term of five years.The interest rate is 2.9 percent annually.How much interest will he have earned at the end of the term?

Answers

Answer:

Interest = Principal x rate x time

I = 25000(.029)(5) = $3,625

Step-by-step explanation:

Ill give brainly for the best one hurry!

Answers

Answer:

20

Step-by-step explanation:

20 may be answer for this may be

Approximate the correlation of the data shown below?
a. 1
b. 0
c. -0.5
d. -1

Answers

Answer:

Step-by-step explanation:

The required correlation of the data is given by -0.5. Option C is correct.

Given that,
To determine the approximate correlation of the data shown,

What is the correlation?

A statistical measure known as correlation expresses how closely two variables are related linearly.

here,
Draw a constant line from the first point to the last point,
Which shows a decreasing slope of -0.5. So it is the approximate correlation of the data given.

Thus, the required correlation of the data is given by -0.5. Option C is correct.

Learn more about the correlation here:

https://brainly.com/question/28898177

#SPJ2

please explain thanks

Answers

Answer:

[tex]\large\boxed{\pink{\sf \leadsto Value \ of \ LM \ is \ 11 \ units . }}[/tex]

Step-by-step explanation:

A figure is given to us in which we can see two triangles one is ∆ MPL and other is ∆MPN .

Figure :-

[tex]\setlength{\unitlength}{1 cm}\begin{picture}(12,12)\linethickness{0.25mm}\put(0,0){\line(1,2){2}} \put(0.001,0){\line(1,0){4}}\put(2,0){\vector(0,1){5}}\put(4,0){\line( - 1,2){2}}\put(0,-0.4){$\bf L $}\put(2,-0.4){$\bf P$}\put(4,-0.4){$\bf N $}\put(2.2,4){$\bf M $}\put(2.8, - .4){$\bf 5 $}\put(1, - .4){$\bf 5 $}\put(3.4, 2){$\bf 11 $}\put(2.3,0){\line(0,1){.3}}\put(2.3,.3){\line( - 1,0){.3}}\end{picture}[/tex]

[tex]\underline{\blue{\sf In\: \triangle MPL \ \& \ \triangle MPN :- }}[/tex]

[tex]\qquad \bullet LP = PN = 5 \:\:(given) \\\\\qquad \bullet MP = MP \:\:(Common) \\\\\qquad \bullet \angle MPN = \angle MPL = 90^{\circ} \:\: (given) [/tex]

Hence by SAS congruence condition ,

[tex]\orange{\bf \triangle MPL \cong \triangle MPN }[/tex]

Hence by cpct ( Corresponding parts of congruent triangles ) we can say that , LM = NM = 11 units .

Hence the value of LM is 11 units .

Which function represents the graph below?

Answers

b
explaination - cause I jus kno

Name a fourth point in plane TUW

Answers

Answer: Z

I hope this helps !!

What is the area?
Please help

Answers

It equals 125.4 kilometers


For what values of is the quadratic
function f (c)=22 – 20 – 24
positivie

Answers

Answer:

5485/45

Step-by-step explanation:

__ 62, 82, 102, __, 142, 162, 182, __, 222 fill in the blanks

Answers

Answer:

42, 122, 202,

Step-by-step explanation:

.................

Answer:

42, 122, 202

Step-by-step explanation:

The sequence is going up by 20s.

Grayson is drawing a two dimensional shape and its dilation in a coordinate plane. Which attribute of this
shape will remain unchanged?

Answers

Answer:

area

Step-by-step explanation:

How many different squares can be formed by using four of the evenly spaced dots shown as vertices of the square?

Plz quickly!!

Answers

Answer:

I Believe Its Eight Squares

There are 450 triangles, we can pick that do not form an equilateral triangles when 15 dots are evenly spaced on the circumference of a circle.

What is equilateral triangle?

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle.

here, we have,

Let's calculate the total no. of possible triangles, it depends on the combination. To make a triangle, we have to choose 3 dots out of 15.

Here, we will use the combination rule to find out the possible triangles,

Thus, the total number of possible triangles = 15C3                                                                      = (15.14.13) / (1.2.3) = 455

Note that an equilateral triangle would be formed by connecting 3 equally spaced dots.

For an equilateral triangle, out of 15 dots, there would be 15 - 3 = 12 dots that will not be connected.

And 12/3 = 4 dots would be between any two connecting dots.

Taking 1st connecting dot, the second connecting dot would be

1 + 4 + 1 = 6th

Similarly, the third connecting dot would be 6 + 4 + 1 = 11th

So, the following connecting dots will form equilateral triangles: (1, 6, 11); (2, 7, 12); (3, 8, 13); (4, 9, 14); (5, 10, 15);

After applying the combination rule we found the total number of the possible triangle and there are 5 equilateral triangles:

So, there are 455 - 5 = 450 triangles that are not equilateral triangles.

Learn more about equilateral triangles:

brainly.com/question/19692242

#SPJ2

Complete question;

fifteen dots are evenly spaced on the circumference of a circle. how many combinations of three dots can we pick from these 15 that do not form an equilateral triangle?

SOLVE FOR X please help !!!!!!!!!!!

Answers

think of it as half a circle which all equals up to 180 degrees

subtract 180 degrees with 62 degrees which 62 degrees is in the problem.

180-62=118 degrees

so your answer is C) 118 degrees

hope that helped you out:)

Please mark my answer brainiest

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