Solve the system of equations.

[tex]y = 4x + 1[/tex]
[tex]3x + 2y = 13[/tex]
1. (1, 5)
2. (5, 1)
3. (0.25, 2)​

Answers

Answer 1

Answer:

(1,5)

Step-by-step explanation:

Substitute the first equation into the second:

3x + 2(4x+1) = 13

3x + 8x + 2= 13

11x = 11

x = 1

y = 4(1) + 1 = 5

(1,5)

Answer 2
1. (1,5) a quick way to check this is to insert the x and y values into both equations and see if they work. hope this helped!!

Related Questions

PLSSS HELPP I BEGG What is the solution to the system of linear equations graphed below?​

Answers

Answer:

No solution

Step-by-step explanation:

because the are parallel lines they never meet so they are inconsistent so there is no solution

HELP I WILL GIVE U BRAINLIETS JUST HELP ME PLS


Complete the table using the equation y = 8x + 4.
-1
0
X
1
N
3
y

Answers

Answer:

x = -1, y = -4

x = 0, y = 4

x = 1, y = 12

x = 2, y = 20

x = 3, y = 28

Step-by-step explanation:

y = 8x+4

x = -1, y = -4

x = 0, y = 4

x = 1, y = 12

x = 2, y = 20

x = 3, y = 28

A repairman leans the top of an 26 foot ladder against the
top of a stone wall. The base of the ladder is 4.7 feet from
the wall. How tall is the wall? (Use Pythagorean Theorem:
a² + b2= c2)

Answers

Answer:

26.42139285

Step-by-step explanation:

26x26 + 4.7x4.7 = c2

676 + 22.9 =c2

698.09=c2

square root of 698.09=26.42139285

26.42139285 = c

Triangle TRS is similar to triangle TMN. Angle T = 40°, angle R = 60°, and angle S = 80° . What is the measure of angle M

Answers

Answer:

60degrees

Step-by-step explanation:

For similar triangles, the angles of their angles are equal to matter the size.

Hence if triangle TRS is similar to triangle TMN, then;

<R = <M and <S = <N

Given that;

<T = 40 degrees

<R = 60degrees

<S = 80 degrees

Since <R = <M, then <M = 60degrees

Identify each number as prime or composite. Then list all its factors b) 6 is? Its factors are __ ___ ___ ___

Answers

Answer:

6 is composite

Step-by-step explanation:

Given

[tex]Number = 6[/tex]

Required

Prime or Composite

The number 6 is not prime. This is so because apart from 1 and 6, it can also be divided by 2, 3

Hence:

6 is composite

And the factors are:

1, 2, 3 and 6

A weather station on the top of a mountain reports that the temperature is currently 0 and has been falling at a constant rate of 3 degrees per hour. Find each temperature.

What was the temperature:

1 hour ago? degrees

3 hours ago? degrees

Answers

Answer:

Step-by-step explanation:

hola my friend

Two playful kittens working together can unwind all the balls of yarn in a basket 9
minutes faster than if the first kitten is working alone, and 4 minutes faster than if the
second kitten is working alone. How long does it take each kitten to unwind all the
balls of yarn alone?

Answers

Answer:

The time it takes the first kitten to unwind the balls of yarn alone is 15 minutes

The time it takes the second kitten to unwind the balls of yarn alone is 10 minutes

Step-by-step explanation:

The time it takes the two kitten to unwind the balls of yarn = 9 minutes faster than the first kitten working alone

The time it takes the two kitten to unwind the balls of yarn = 4 minutes faster than the second kitten working alone

Let 'x' represent the time it takes the first kitten to unwind the balls of yarn alone, let 'y' represent the time it takes the second kitten to unwind the balls of yarn alone, and let 't' represent the time it takes the two kitten to unwind the balls of yarn we have;

x = t + 9

y = t + 4

The rate of working, per ball of yarn, of the first kitten = 1/x = 1/(t + 9)

The rate of working, per ball of yarn, of the second kitten = 1/y = 1/(t + 4)

The amount of work each kitten does in the time 't', added together to unwind 1 ball of yarn is given as follows;

t/(t + 9) + t/(t + 4) = 1

(t·(t +4) + t·(t + 9))/(t + 4)×(t + 9) = 1

Using a graphing calculator, we have;

(2·t²+13·t)/(t² + 13·t + 36) = 1

∴ (2·t² + 13·t) = (t² + 13·t + 36)

(2·t² + 13·t) - (t² + 13·t + 36) = 0

t² - 36 = 0

t = √36 = 6

t = 6

x = t + 9 = 6 + 9 = 15

The time it takes the first kitten to unwind the balls of yarn alone, x = 15 minutes

y = t + 4 = 6 + 4 = 10

The time it takes the second kitten to unwind the balls of yarn alone, y = 10 minutes

Answer:

15 and 10 are correct

Step-by-step explanation:

Need help with this question

Answers

Answer:

C. x = 3

Step-by-step explanation:

8x - 8 = 2x + 10

get the x on it's own

8x - 8 + 8 = 8x

2x + 10 + 8 = 2x + 18

8x = 2x + 18

8x - 2x = 6x

2x + 18 - 2x = 18

6x = 18

now divide each side by 6

6x / 6 = x

18 / 6 = 3

x = 3

X=3

Explanation

8x-8=2x+10

6x=18

x=3

Please help!!
"simplify the expression
write your answer using a positive exponent"
(3/7)^-6 x (3/7)^-1%(3/7)^-3

Answers

Answer:

2067.62052882

Step-by-step explanation:

Do you need to round? let me know :)

Factor the expression.

7x+42

Answers

Answer:

7(x+6)

Step-by-step explanation:

hope it helps :)

Here is the step by step explanation:
Hope this helps
Leave a like and brainliest!

What is the slope of the line in the
graph?

Answers

the slope is a positive one.

the equation would be y = x + 1

Answer:

y = x + 1

Step-by-step explanation:

x because the change is x is 1. And the change in y is also 1. 1/1 can be written as x.

The line crosses the y axis on 1, making it the y-intercept.

your friends show you a coin collection .in it 45/50 of the coins are quarters.what percent of the coins are quarter

Answers

Answer:

90%

Step-by-step explanation:

45 : 50

45 / 50 = 0.9

0.9 x 100 = 90

Answer: 20%

Step-by-step explanation:  i learned this in mexico class

Write an equation of the line that passes through the given points.
(-6,8) and (1,0)

Answers

Answer:

y=-8/7x+8/7

Step-by-step explanation:

Which figure will this net make

Answers

Answer:

C

Step-by-step explanation:

Rectangle base, tiny triangle sides, but rectangle top

What is the value of x?​

Answers

Answer:

98°

Step-by-step explanation:

x = 53° + 45° { exterior angle of a triangle is equal to the sum of two opposite interior angles }

x = 98°

Expand and simplify (x + 5)(x - 2)

Answers

Answer: *x squred +3x-10*

Step-by-step explanation:

(x+5)(x-2)

x squred-2x+5x-10

x squred +3x-10

The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be = A

Now , the equation A = ( x + 5 ) ( x - 2 )

On simplifying the equation , we get

A = x ( x - 2 ) + 5 ( x - 2 )

Expanding the brackets , we get

A = x² - 2x + 5x - 10

On simplifying the equation , we get

A = x² + 3x - 10

Therefore , the value of A is x² + 3x - 10

Hence , The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

2. True or False: According to financial experts, a renter should allow no more than 30%
of their gross income for rent.
Anciner:

Answers

Answer:

False

Step-by-step explanation:

Which equation describes this line?
A. y - 4 = 3 (x - 2)
B. y - 1 = 3(x-13)
C. y - 2 = 3(x - 4)
D. y - 4 = 3(x+2)​

Answers

Answer:

D. y - 4 = 3 (x + 2)

Step-by-step explanation:

y - 4 = 3 {slope} [x - (-2)]

y - 4 = 3 (x + 2)

Which is a zero of the function f(x) = 2x – 6?
2

-3

-6

3

Answers

The answer is 3 because it is

Answer and explanation:

The answer is actually -3. We already know f(x)/y is equal to 0, so the equation is then simplified to 0 = 2x - 6. You do inverse operation, so then -6 = 2x. Then -6 divided by 2 is -3. So -3 = x. Therefore, the zero of the function f(x) = 2x – 6 is -3.

What is X...

What is Y....

Answers

Answer:

x = 110

y = 40

Step-by-step explanation:

m∡5 = 30° because it forms a linear pair with ∡6, which is 150°

x + y = 150  (angles 4 and 6 are alternate-interior and are congruent)

angles 3 and 6 are same-side interior and are supplementary

therefore:  x -2y = 180-150

if x + y = 150 we can say that x = 150 - y

we can plug '150-y' for 'x' in x - 2y = 30

150-y - 2y = 30

-3y = -120

y = 40

x = 110

Can u pls help me with this question

Answers

Answer:

20.5 ounces

Step-by-step explanation:

11.5+2.25s=?

11.5+2.25(4)=

60 POINTS!! PLEASE HELP ASAP 4. Which statement is true about air pressure?
a. Changes in air pressure keep temperatures constant
b. Air pressure does not change with density
c. Air pressure is lower at the ground and higher as elevation increases
d. A higher temperature causes greater air pressure

Answers

Answer:

a. Changes in air pressure keep temperatures constant

Step-by-step explanation:

Hope it helps,

Pls mark me as the brainliest

Thank you

3 x 8/4 ?????????????//////

Answers

Answer:

6

Step-by-step explanation:

8/4 = 2 so 3*2=6

I need help due in a Hour PLZ HURRY

Answers

Answer:

circumference=πd=6πcm

circumference of dark arc =(360-120)/360×πd=

240/360×6π=4π is the required answer

Khan academy question

Answers

Answer:

56.25

Step-by-step explanation:

cos-1(5/9)

cos the angle=adjacent ÷hypotynous

Simplify each expression. Show all work from credit.
Plz help me

Answers

Answer:

1. = 1 because any numbers to the power 0 is one

2. = 1/64

3.= b^15 base same power added up

twelve times twelf equals ​

Answers

1212

Step-by-step explanation:

144

  °   •  .°•    ✯

  °   •  .°•    ✯   ★ *     °      °·                            

  °   •  .°•    ✯   ★ *     °      °·                             .   • ° ★ •  ☄

  °   •  .°•    ✯   ★ *     °      °·                             .   • ° ★ •  ☄▁▂▃▄▅▆▇▇▆▅▄▃▁▂

Answer:144

Step-by-step explanation:

can u pls help me with this question asap ​

Answers

5 is the correct answer

Did you sleep with a comfort object as a child? Do you still? No
need to stuff that teddy bear from your infant years in your closet the
next time you have a guest over—the odds are good that he or she has
a comfort object, too. A study conducted by Sleepopolis and
OnePoll reported that 34% of adults still sleep with a stuffed animal,
blanket, or other sentimental object, according to a survey of a random
sample of 100 adults. A similar study, based on a random sample of 80
children reports that 75% of children sleep with a comfort object.

Do these data provide convincing evidence that the proportion of adults
who sleep with a comfort object is less than the proportion of children
who sleep with a comfort object? Justify your answe

Answers

Answer:

depends how random it was, it could vary between countries and stuff. but lets say its random between ethnicities. I think it doesn't really have enough people to be sure, I would say a thousand and not 100, but that's just me.

Mhanifa please c:



1) A principle of $300 was deposited in a savings account that pays 3.5 interest compounded yearly. Find the balance after 5 years.

2) UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound, and $0.30 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?

Answers

Answer:

Step-by-step explanation:

300×1.035⁵ ≅ $356.31

:::::

UPS charge = 7 + (p-1)0.20 = 0.20p +6.80

FedEx charge = 5 + (p-1)0.30 = 0.30p + 4.70

0.30p + 4.70 = 0.20p +6.80

0.10p = 2.1

p = 21

They charge the same for 21 pounds.

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