solve using the substitution method -2x +y=4 y=3x+1​

Answers

Answer 1

Answer: (3, 10)

Step-by-step explanation:

X=3 y=10

Answer 2

Answer:

x = 3

y = 10

Step-by-step explanation:

Equation (1) : -2x + y = 4

Equation (2) : y = 3x + 1​

Substitute (2) into (1):

-2x + (3x + 1) = 4

-2x + 3x + 1 = 4

x + 1 = 4

x = 3

Sub x = 3 into (2):

y = 3(3) + 1

y = 10


Related Questions

Order of operations

The answer is 124 for prob . Please show steps . I keep getting 129

4^2×2^3- (14-16)÷2

Answers

ANSWER

129

EXPLANATION

The given expression is:

[tex]4^2×2^3- (14-16)÷2[/tex]

Deal with the parenthesis first.

[tex]4^2×2^3- ( - 2)÷2[/tex]

[tex]4^2×2^3 + 2÷2[/tex]

Deal with exponents,

[tex]16×8+ 2÷2[/tex]

Divide now

[tex]16×8 + 1[/tex]

Multiply

[tex]128 + 1 [/tex]

You can now add to get

[tex]129[/tex]

The order of operations is PEDMAS

What is the volume of the right rectangular prism?

Answers

Answer:

240

Step-by-step explanation:

V=width height  length  = 10 · 3 · 8 = 240

Hope this helped, have a wonderful day man!

The answer is 240cm^3

which of the following equations was used to graph the line shown B).y=x÷2 D).y=x+2​

Answers

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

So it seems you were able to eliminate a and c. Good job. :)

y= x/2  is the same as y= 1/2 * x + 0 (this is now in the form y= mx +b.)

y= x+ 2 is already in (y=mx+b) form, with m being 1.

now what you can do is look at the individual parts of these equations.

the b is the y intercept. So when x is 0, y is b. in the y= 1/2 x + 0 equation, we know when x= 0, y= 0.

for the y=x + 2, we know that when x= 0, y= 2. Since this is not a point on the line shown, we know that it is not correct. Therefore, your answer would be y= 1/2 x, or y= x/2.

You could also find this using slope, but the y- intercept (b) was simpler to explain and find. :)

Select the three sums equivalent to 13/
8.

Answers

Answer:

1.625

Step-by-step explanation:

If sin theta =0.3090, what is the approximate value of csc theta

Answers

Answer:

If sine theta = .3090 then arc sine theta =

18 degrees

Then we look up csc 18 degrees which = 3.2361

Step-by-step explanation:

Answer:

cscΘ ≈ 3.2362

Step-by-step explanation:

Using the trigonometric identity

• cscx = [tex]\frac{1}{sinx}[/tex] , then

cscΘ  = [tex]\frac{1}{0.3090}[/tex] ≈ 3.2362


The exponential function, f(x) = 2^x, undergoes two transformations to g(x) = 1/3 x 2^x - 7. how does the graph change? select all that apply. A. It is vertically compressed. B. It is vertically stretched. C. It is shifted right. D. It is shifted down E. It is lipped over the x-axis.

Answers

Answer:

A and D

Step-by-step explanation:

Since a (1/3) is less than 1, it is vertically compressed. The -7 is outside of the parenthesis so it is shifting down.

Answer:

options A and D are the correct options.

Step-by-step explanation:

The parent exponential function is f(x) = 2ˣ

Now this function undergoes two transformations to form g(x) = [tex]\frac{1}{3}(2^{x})-7[/tex]

When parent function f(x) = 2ˣ  is multiplied by [tex]\frac{1}{3}[/tex], this means f(x) has been compressed vertically because [tex]\frac{1}{3}[/tex] < 1.

Now we subtract 7 from the new function [tex]\frac{1}{3}[/tex] [tex](2^{x})[/tex], that means we are shifting this function 7 units downwards on y-axis.

Therefore, options A and D are the correct options.

Please help !!!!thank you .

Answers

Answer:

414

Step-by-step explanation:

12 times 7, 12 times 15, 7 times 15

You need to guess on a multiple-choice question that has four options.

What are the odds that you choose the correct answer?





Answers

Answer:

Its a 25% chance you choose the correct answer

Also 1/4 odds

1/4 (or 25%)

There are four possible outcomes, so the denominator of the fraction is 4.

There is only one correct answer, so the numerator of the fraction is 1.

This means the probability is 1/4, or 25%.

5x - 2y = 3
-5x + 4y = 9

Answers

The answer is (3,6) x=3 y=6

Answer:

x = 3 / y = 6

Step-by-step explanation:

5x - 2y = 3

-5x + 4y = 9

-----------------   (combine the equations)

2y = 12

isolate the variable

y = 6

next, use one of the original equations and substitute in for y to solve for x

5x - 2(6) = 3

multiply

5x - 12 = 3

isolate the variable

5x = 15

divide each side by 5

x = 3

Find the value of a4 for this geometric series (I’ll add you on discord if you solve my guy and guyetts)

Answers

Answer:

The value of a4 is 6

Step-by-step explanation:

* Lets revise the rule of the geometric series

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)  

* General term (nth term) of a Geometric series:

- a1 = a  ,  a2 = ar  ,  a3  = ar2  ,  a4 = ar3  ,  a5 = ar4

- an = ar^n-1, where a is the first term , r is the constant ratio

  between each two consecutive terms  and n is the position

  of the number in the series

* Now lets solve the problem

- The rule of the series is  2/9 (3)^n - 1

∴ a = 2/9 and r = 3

- To find a4 put n = 4

∴ a4 = 2/9 (3)^(4 - 1) = 2/9 (3)³ = 2/9 (27) = 6

∴ The series is 2/9 , 2/3 , 2 , 6 , ........

* The value of a4 is 6

Answer:

r

Step-by-step explanation:

Can y’all try to solve some of these for me?

Answers

Answer:

The 3rd problem on mondays answer is 2:1

The 4th problem on monday answer is it is not long enough he needs to make it 4 inches longer.

The 5th problem on monday is 41

The 6th problem on monday is 13,12,11

Can't read the whole problem for the 7th question on monday

the 8th problem on monday is 55 and 8/15

That is the answers for monday hope this helps

Step-by-step explanation:

PLEASE HELP JUST NEED TO PASS THIS GEOMETRY TO BE DONE
What are possible coordinates of point F if ΔDEF is congruent to ΔABC?

(–1,4)
(4,–1)
(0,–1)
(–1,0)

Answers

Answer:

(–1,4)

Step-by-step explanation:

Shapes are congruent if you can turn one into the other by moving, rotating or flipping. We can use this symbol [tex]\cong[/tex] to show that two things are congruent. Two triangles are congruent if and only if all the corresponding legs are congruent. The only point that makes the corresponding legs to be congruent is [tex](-1,4)[/tex]. Why? because we can match these two triangles by flipping the red one two times and moving it into the blue one.

Answer:

(–1,4)

Step-by-step explanation:

A person invests 9000 dollars in a bank. The bank pays 6% interest compounded monthly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14000 dollars?

Answers

Answer:

[tex]7.4\ years[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=?\ years\\ P=\$9,000\\ r=0.06\\n=12\\ A=\$14,000[/tex]  

substitute in the formula above  

[tex]14,000=9,000(1+\frac{0.06}{12})^{12t}[/tex]  

[tex](14/9)=(1.005)^{12t}[/tex]  

Apply log both sides

[tex]log(14/9)=(12t)log(1.005)[/tex]  

[tex]t=log(14/9)/[(12)log(1.005)][/tex]  

[tex]t=7.4\ years[/tex]  

Carl is shipping a cardboard box that is a rectangular prism. The net of Carl's box is shown. 4 inches 6 inches H-10 inches What is the area of cardboard, in square inches, required for Carl's box?

Answers

Surface area: 2 × w × l + 2 × l × h + 2 × h × w

Answer:

156 in. squared

Step-by-step explanation:

The players height is standard deviation above the mean?

Answers

Answer:

Step-by-step explanation:

Z score is the number of standard devations above the mean.

For example if z=1, the data value is 1 st. dev. above the mean.

So, z=1.95, so the player's heigh is 1.95 st. dev. above the mean.

Amanda is building a soft triangular kennel for her dog. She has four wooden planks of lengths 2 feet, 3 feet, 5 feet, and 6 feet. Determine which planks Amanda should use to build the triangular-shaped kennel. Enter the lengths from least to greatest.

Answers

Answer:

3 ft, 5ft, 6ft

Step-by-step explanation:

To build a kennel of my dog, I would try to make it the largest possible with what I have.

So, I would go with the 3 longest planks: 3ft, 5ft and 6ft.

By looking at the length, I see I could make something very close to a right triangle since I could use the 6ft as an hypotenuse, and have the two other sides as 3ft and 5 ft  (6² is almost 3²+5², which equal 34).

That means my corner angle would be slightly over 90 degrees.

Answer:

3,5,6

Step-by-step explanation:

because i said so

X2 = 12 16 48 Help!!!!!

Answers

Answer:

The answer is 48    NOT   12

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

By using theorem of intersecting secant and tangent at a point outside a circle.

PB × PA = (PQ)²

Since, PB = 2 units

PA = (PB + AB)

     = (2 + 6)

     = 8 units

PQ = x units

Therefore, by substituting these values,

2 × 8 = x²

[tex]x^{2} = 16[/tex]

Therefore, Option (2) will be the correct option.

Let f(x) = 1/x and g(x) = x^2 + 4x. What
two numbers are not in the domain of fºg?

Answers

Answer:

0 and -4

Step-by-step explanation:

We have been given the following functions;

f(x) = 1/x

g(x) = x^2 + 4x

The first step would be to evaluate the composite function fºg.

fºg = f[g(x)]. We substitute g(x) in place of x in f(x)

fºg = [tex]\frac{1}{g(x)}=\frac{1}{x^{2}+4x}[/tex]

This is clearly a rational function which will be defined everywhere except where the expression in the denominator will be equal to 0.

We solve for x;

[tex]x^{2}+4x=0\\\\x(x+4)=0\\x=0\\x=-4[/tex]

Therefore, the two numbers that are not in the domain of fºg are 0 and -4

For this case we have the following equations:

[tex]f (x) = \frac {1} {x}\\g (x) = x ^ 2 + 4x[/tex]

We must find (f_ {o} g) (x):

By definition of composition of functions we have to:

[tex](f_ {o} g) (x) = f (g (x))[/tex]

So:

[tex](f_ {o} g) (x) = \frac {1} {x ^ 2 + 4x}[/tex]

We must find the domain of [tex]f (g (x)).[/tex] The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

[tex]x ^ 2 + 4x = 0\\x (x + 4) = 0[/tex]

So, the roots are:

[tex]x_ {1} = 0\\x_ {2} = - 4[/tex]

The domain is given by all real numbers except 0 and -4

Answer:

x other than 0 and -4

Method of Transportation Percent of Students
Bike 3%
Bus 90%
Car 4%
Walk 3%

A middle school student is doing a math project in which she has to make a graph of the different ways students get to school. To collect her data, she stands under the bus canopy and asks 100 students how they normally get to school. Is her data valid? Why or why not?

Answers

No. Because she only asked the people who was walking to school

What are the slope and y-intercept of the linear equation below y=2\3x - 1​

Answers

Answer:

2/3 is the slope and

-1 is the y intercept

Step-by-step explanation:

y = 2/3 x -1

This is in the form y = mx+b where m is the slope and b is the y intercept

2/3 is the slope and

-1 is the y intercept

Answer:

2/3 slope, -1 y intercept.

Step-by-step explanation:

Equations in y=mx+b forms follow these rule- y is the dependent variable, and x is the independent variable; m is the slope and b is the y intercept.

This means that the m, or slope is 2/3, and the y intercept is -1.

Which has a greater volume; two regular cans of soup, each with a diameter of 8 cm and a height of 10 cm or one family size can of soup, which has a diameter of 10 cm and a heigh if 12 can? Explain and give your calculations.

Answers

Answer:

The two regular cans of soup has a greater volume than the family size can of soup

Step-by-step explanation:

step 1

Find the volume of two regular cans of soup, each with a diameter of 8 cm and a height of 10 cm

The volume is equal to

[tex]V=2[\pi r^{2} h][/tex]

we have

[tex]r=8/2=4\ cm[/tex] ----> the radius is half the diameter

[tex]h=10\ cm[/tex]

substitute

[tex]V=2[\pi (4)^{2} (10)][/tex]

[tex]V=320\pi\ cm^{3}[/tex]

step 2

Find the volume of one family can of soup, with a diameter of 10 cm and a height of 12 cm

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=10/2=5\ cm[/tex] ----> the radius is half the diameter

[tex]h=12\ cm[/tex]

substitute

[tex]V=\pi (5)^{2} (12)[/tex]

[tex]V=300\pi\ cm^{3}[/tex]

therefore

Compare the volumes

[tex]320\pi\ cm^{3} > 300\pi\ cm^{3}[/tex]

The two regular cans of soup has a greater volume than the family size can of soup

philip ask julie to pick a number at random from 1 to 100, and then asks shelly to do the same. what is the probability that both will select 49? show your work

Answers

Answer:

[tex]\frac{1}{10000}[/tex]

Step-by-step explanation:

In probability, "AND" means Multiplication

"OR" means addition

There are 100 numbers from 1 to 100. Probability of picking 49 is 1/100 (since we want 1 specific number form 100 numbers).

Question is asking Probability that Phillip selects 49 AND ALSO Shelly select 49. since there is "AND", we just multiply both the probabilities of Phillip and Shelly.

[tex]\frac{1}{100}*\frac{1}{100}=\frac{1}{10000}[/tex]

The two-way table below describes

Answers

Answer:there is not answer we need more info

Step-by-step explanation:

!!!!HELP ASAP ITS EASY IM JUST STUPID!!!!

What is the area of the following trapezoid?

280 mm2
420 mm2
140 mm2
210 mm2

Answers

The area of a trapezoid is [tex]\frac{a+b}{2} h[/tex] so substitute the values.

[tex]\frac{14 + 28}{2} 10[/tex] → [tex]\frac{42}{2} 10[/tex] → 21 * 10 → 210mm²

Hope this helps!!

The area of the following trapezoid is 210mm².

How to calculate the area of a trapezoid?

The area of a trapezoid can be calculated if the length of its parallel sides and the perpendicular distance (height) between them is given. The formula for the area of a trapezoid is expressed as,

Area = {(a + b) × h} / 2

Where a and b are the parallel sides and h is the height in the figure below.

In the given question we have, a = 14 mm , b = 28 mm and h = 10 mm.

So, by using the formula for finding the area of a trapezoid,

Area = {(14 + 28) × 10} / 2

        = {42 × 10 } / 2

        = 420 / 2

        = 210

The unit of the area is mm².

Therefore, the area of the following trapezoid is 210 mm².

To know more about the area of the trapezoid click here - brainly.com/question/3763975

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Someone help me ?? Please

Answers

Answer:

The correct answer is first option  6 units

Step-by-step explanation:

From the figure we can see a rectangle was mediated to crerate A'B'C'D'

To find the value of AB

AB = ?

A'B' = 15 units

BC = 3.8 units

B'C' = 9.5 units

From the figure we can write,

A'B'/AB = B'C'/BC

15/AB = 9.5/3.8

AB = (15 * 3.8)/9.5 = 6 units

Therefore the correct answer is first option 6 units

PLEASE HELP!!! Rewrite 2.26 ( a line over the 6 ) as a simplified fraction!! THANK YOU!

Answers

Answer:

2 13/15

Step-by-step explanation:

2.26/ 1 X 100/100 = 226/100

226/100 Dived by 2 ( both top and bottom ) = 113/50

113/50 = 2 13/50

2.26 = 2 13/50

hurry please answer fast - which expression best estimates 6 3/4 + 1 2/3? a. 7 divided by 2 b. 6 divided by 1 c. 8 divided by 3 d. 3 divided by 2

Answers

Answer:

1863254

Step-by-step explanation:

Answer:

balls

joe

mama

Step-by-step explanation:

Which answer choices represents an expression

Answers

Answer:

A

Step-by-step explanation:

Madison's expression equals 8z and so does the answer.

Answer:

Answer: A

Step-by-step explanation:

This is an example of the associative property of multiplication. The general way it is written is (a*b)*c = a*(b*c) It means that the order of multiplication does not matter.

The one that looks like that for your question is

(z*2)(4) = z * (2 * 4)

Both give an answer of 8z

A

After applying the composition / to the point (–5, 3), in which quadrant does the image lie?

A.
I
B.
II
C.
III
D.
IV

Answers

Answer:

B  II

Step-by-step explanation:

Answer:quad 1

Step-by-step explanation:

-90 is clockwise and 90 is counter like whatttttttt

Will give 30 points

What is the area of the irregular figure below?


36
48
144
288

Answers

Answer:

36

Step-by-step explanation:

This figure is a trapeoid.

Turning the figure sideways,

A = 1/2 (b1+b2) *h  where b1 and b2 are the top and bottom and h is the height

b1 and b2 are the  top and bottom so b1 =6 and b2=12  and h is the height so h = 4

A = 1/2 (6+12)*4

A = 1/2 (18)*4

   = 9*4

   = 36 in^2

The area of the irregular figure is 36 sq. in.

Given is an irregular figure with dimensions 6 in, 4 in and 12 in, we need to find the area of the irregular figure,

To find the area of the given figure, we will break the figure into two regular figures,

a) Triangle [base = 4 in and height = 12-6 = 6 in]

b) Parallelogram [base = 4 in and height = 6 in]

Area of a triangle = 1/2 × base × height

Area of a parallelogram = base × height

Therefore,

Area of the irregular figure = [1/2 × 4 × 12] + 4 × 6

= 24 + 12

= 36

Hence the area of the given figure is 36 in².

Learn more about Area click;

https://brainly.com/question/30307509

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