Solve the system by substitution.
y = -7x + 6
y = -10x​

Answers

Answer 1

Answer:

(-2, 20)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -7x + 6

y = -10x

Step 2: Solve for x

Substitution

Substitute in y:                   -10x = -7x + 6Add 10x to both sides:      0 = 3x + 6Isolate x term:                    -6 = 3xIsolate x:                             -2 = xRewrite:                              x = -2

Step 3: Solve for y

Define equation:                    y = -10xSubstitute in x:                       y = -10(-2)Multiply:                                  y = 20
Answer 2

Answer:

x = -2

y = 20

Step-by-step explanation:

y = -7x + 6

y = -10x​

y = -10x

-7x + 6 = -10x

3x = -6

x = -2

y = -7x + 6

y = -7 ( -2 ) + 6

y = 14 + 6

y = 20


Related Questions

-5x - 4x < -9 help me solve it

Answers

X has no solution
-5x-4x=-9x
-9x<-9x is false
Therefore x has no solution
The answer is -9x if your just talking about the 5 and 4 together

Evaluate the expression
5−2−2+10
= -2

-6
14
2
22

Answers

It should be noted that the value of the expression 5 - 2 - 2 + 10 will be 11.

How to illustrate the information?

Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing.

You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.

For example, x + 6 = 12. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. We can substitute the variables with their values and then evaluate the expression if we know the values of our variables.

Based on the information illustrated, it should be noted that the value of the expression 5 - 2 - 2 + 10 will be 11.

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The payment to a clown for a children's party is directly proportional to the number of
children under 12 at the birthday party. The clown earns $140 at a party that has 10 children attending,
.
How much will the clown earn when 22 children under the age of 12 attend?

If the clown uses 46% of the money earned on his props for the party, and the rest is
profit. What is the profit if only 10 children under the age of 12 attend the party?

Answers

Answer:

Step-by-step explanation:

We know he earns $14 per child under 12

So he'll earn 22 times 14 which is $308 earned.

46% of 308 is basically 0.46 X 308=$141.68 spent on props.

He profits $166.32

If only 10 children attend.

He earns 10 times 14= $140

46% of these earnings is for props and 54% is profit so

0.54 X 140=$75.60.

Thus he profits $75.60 if 10 children attended.

The profit will amount to $75.60 when only 10 children under the age of 12 attend the party.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We are aware that he receives $14 for each child under the age of 12.

Thus, he will make $308 after multiplying 22 by 14.

In other words, 46% of 308 is 0.46 × 308 or $141.68 spent on props.

He earns $166.32.

If just 10 kids show up.

He makes $10 multiplied by 14 for a total of $140.

Props account for 46% of these revenues, while profits make up 54%, therefore

0.54 × 140=$75.60.

So, if 10 kids showed up, he makes $75.60.

Thus, the profit will amount to $75.60 when only 10 children under the age of 12 attend the party.

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what is the scientific notation for 92100

Answers

Answer:

9.21*10^4

Step-by-step explanation:

Solve for x given the lines are parallel.
7(x - 710
126°

Answers

Answer:

the answer is 87

Step-by-step explanation:

Kate buys a wheelbarrow priced at $53. Shipping and handling are an additional 30% of the price. How much shipping and handling will Kate pay?

Answers

Answer:

$15.90

Step-by-step explanation:

30% of 53 is 15.90

1. Which of the equations below will answer the following question? Check (!) all that apply.

“I think of a number, add 7 and then multiply by 4.
My answer is 80. What was my number?”

1. ¿Cuál de las siguientes ecuaciones responderá a la siguiente pregunta? Marque todo lo que corresponda.

“Pienso en un número, le sumo 7 y luego lo multiplico por 4.
Mi respuesta es 80. ¿Cuál era mi número?”

Answers

The correct option is B. 4(x+7) = 80.

Adding 7 to the number then multiplying it with 4 given the result 80 is shown by the equation; 4(x+7) = 80.

What is defined as the mathematical operations?

Calculating a value with operands as well as a math operator is referred to as a mathematical "operation." The math operator symbol has predefined rules that must be applied to a given operands and numbers.

Operands are the numbers that are used in an operation. The operands are given different names depending on the type of operation.An operator is a symbol that represents a mathematical operation, such as:+ for addition− for subtraction× for multiplication÷ for division = equal to denotes equivalence, indicating that left hand side value is equal to a right hand side value.

Now as per the given question;

Let us assume that the given number is 'x'.

Adding  7 to this number will form; x + 7.

Now, multiplying the number resultant number with 4 gives; 4(x + 7)

Now the number formed is equal to the result 80.

Thus, 4(x + 7) = 80.

Therefore, the equation which correctly represents the given formation is  4(x + 7) = 80.

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The correct question is -

Which of the equations below will answer the following question? Select all that apply. Explain your answers.

I think of a number, add 7 and then multiply by 4. My answer is 80. What was my number?

A. x + 28 = 80

B. 4(x+7) = 80

C. 4x + 7 = 80

D. 4x + 28 = 80

what is 9/10 - 2 3/4 i. the simplest form

Answers

−1.85 it says too short so ignore this ssssssndjbdbjddn

-1.85 i think q haha r order

Evaluate the function graphically

find f(1)​

Answers

Answer:

-6

Step-by-step explanation:

f(1)=-3

why because f(x)=y

so x=1

you go to the x-cordinate and u see where the y-cordinate is

-3

For the graph the answer is -3 for the exterior it's -6

Have a wonderful day/night ask me if you have more math questions

Brainliest Please.

I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!!

Answers

Answer:

Reason 3

Step-by-step explanation:

Reason 3 is supposed to be prove

What is the reciprocal of 1 3/4 ?

Answers

Answer:

4/7

Step-by-step explanation:

1 3/4   or   7/4

i think the answer would be 1 4/3 or 7/4

What's 2|–9| – |–2|?
Question 7 options:

A)

–18

B)

20

C)

16

D)

–20

Answers

Answer: C) 16

Step-by-step explanation:

= 2(9) - 2

= 18 - 2

= 16

Answer:

16, C

Step-by-step explanation:

|-9| is 9

|-2| is 2

2*9 - 2

18-2

16

Given the quadratic equation: f(x) = x2+4x-21



Identify a, b, and c from your original standard form equation.



a= _____ b= _____ c=_____
PLEASE HURRY

Answers

Answer:

f(x)= x²+4x-21

a= 1 b=4 c=-21

from [tex]y=ax^2+bx+c[/tex] and [tex]y=x^2+4x-21[/tex] | Compare the coefficients.

Thus the answer is a = 1, b = 4 and c = -21

Which pair of triangles below can be shown to be similar using AA similarity?

350
700
890
67°
7670
249
1640
490
750
820
630
54°

Answers

The second option shows AA symmetry.
The angles of a triangle have to add up to 180. When adding the given angles, you will find that the missing angle is equal to what is given in the other triangle.
An example is how in the second option’s triangle, the two given number add up to 91. 89 is needed to make it equal 180 and 89 is in the same position is the first triangle.

Triangle second and third can be shown to be similar using AA similarity when we take two angles between them.

What is similarity?

In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

How to check similarity of triangle?

In second and third triangle two angles whose measures are 24 degrees and 67 degrees are in both triangles, which is the condition of AA similarity.

To check AA similarity we have to check whether two angles are equal in two triangles to be similar.

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Spending $1000 from a savings account paying 4 percent of interest a year means a opportunity cost of how much money a year?
A. $80
B. $40
C. $20
D. $10

Answers

b. $40 ; 0.04 x 1000

1/2(x − 2) = 4x − 9/2x − 4 What is the solution?

Answers

sorry . I had done it wrong

I need help with this rate of change problem

Answers

Answer:

-0.5 (-1/2)

Step-by-step explanation:

Answer:

m= -1/2

Step-by-step explanation:

Slope formula

m= y2-y1/x2-x1

plug the given points in which are (7,-4) (5,-3)

m= -3-(-4)/ 5-7

m= 1/-2 which can be rewritten as -1/2

Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?
82.242 miles
822.42 miles
8,224.2 miles
82,242 miles

Answers

Answer:

b) 822.42

Step-by-step explanation:

Just multiply 2.7 by 304.6 and your answer would be 822.42

Answer:

answer is b

Step-by-step explanation:

Last winter in the northeast the temperature was 5degrees Fahrenheit at midnight. It dropped 3 degrees every hour for 3hours and then rose 8 degrees every hour after that. What was the temperature at​ noon?

Answers

Answer:

68 [tex]^\circ F[/tex]

Step-by-step explanation:

Initial temperature in the northeast in the midnight = 5 [tex]^\circ F[/tex]

Drop for the next three hours = 3 degrees per hour.

Temperature after the 3 hours = 5 [tex]^\circ F[/tex] - 3 - 3 - 3  = - 4[tex]^\circ F[/tex]

Now, it is given that the temperature is rising 8[tex]^\circ F[/tex] every hour.

3 hours have already passed from the midnight.

Now, there are 9 more hours till noon.

So, the temperature at noon can be found by adding 8 for 9 times in the temperature after 3 hours.

Temperature at noon = - 4 + 8 + 8 .... 9 times

Temperature at noon = - 4 + 9 [tex]\times[/tex] 8 = -4 +72 = 68[tex]^\circ F[/tex]

Therefore, the answer is: 68[tex]^\circ F[/tex]

Plzzzzzzzz help me.

Answers

Other, because the other ones won’t fit and aren’t functions on the graph

Which graph represents the inequality x < -6?

Answers

Answer:

A.

Step-by-step explanation:

x < -6 means that x is lesser than -6. Thus, C and D are wrong. A filled up dot means that -6 is also a possible number for x, but here it says that x is lesser than -6, so it cannot be -6 itself. Thus, B with the filled up dot is also wrong.

A hoverboard is on sale for 10% off the original price of 247.50

Answers

Answer:

$222.75

Step-by-step explanation:

0.9*247.50

hope this helps :D pls mark brainliest :D

Find the component form of the vector that translates P(4,5) to p'.
P'(-3,7)

Somebody help!!

Answers

Answer:

The component form of the vector P'P is [tex]\left \langle -7, 2 \right \rangle[/tex]

Step-by-step explanation:

The component form of the vector that translates P(4, 5) to P'(-3, 7), is given as follows;

The x-component of the vector = The difference in the x-values of the point P' and the point P = -3 - 4 = -7

The y-component of the vector = The difference in the y-values of the point P' and the point P = 7 - 5 = 2

The component form of the vector P'P = [tex]\left \langle -7, 2 \right \rangle[/tex]

An arithmetic sequence has this recursive formula: a1=8 an=an-1-6 what is the explicit formula for this sequence

Answers

Answer:

D

Step-by-step explanation:

a p e x

The explicit rule of the sequence is (d) [tex]a_n = 8-6 (n -1)[/tex]

How to determine the explicit formula?

The sequence is given as:

a1 = 8

[tex]a_n = a_{n-1} - 6[/tex]

Set n = 2

[tex]a_2 = a_{1} - 6[/tex]

This gives

a2 = 8 - 6

a2 = 2

Calculate the common difference (d)

d = a2 - a1

This gives

d = 2 - 8

Evaluate

a = -6

The explicit formula is then calculated as:

[tex]a_n = a_1 + (n -1)d[/tex]

This gives

[tex]a_n = 8-6 (n -1)[/tex]

Expand

[tex]a_n = 8-6n +6[/tex]

Evaluate the like terms

[tex]a_n = 14-6n[/tex]

Hence, the explicit rule of the sequence is (d) [tex]a_n = 8-6 (n -1)[/tex]

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Two life insurance companies determine their premiums using different formulas:
Company A: p= 2a+24
Company B: p= 2.25a+13 where p represents the annual premium, and a represents the client's age. Use the graph to determine the age at which both companies charge the same premium.

Answers

Answer:

The age at which both companies charge the same premium is 44 years

Step-by-step explanation:

Graph Solution to System of Equations

One approach to solving systems of equations of two variables is the graph method.

Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.

The annual premium p as a function of the client's age a for two companies are given as:

Company A: p= 2a+24

Company B: p= 2.25a+13

The graphs of both functions are shown in the image below.

The red line indicates the formula for Company A and the blue line indicates the formula for Company B.

It can be seen that both lines intersect in the point with approximate coordinates of (44,112).

The age at which both companies charge the same premium is 44 years

Vertical angles are non-adjacent angles.

True or False

Answers

The correct answer would be True

Helpppp plz will give brainliest

Answers

11x = 44
X=4
44 + 7 = 51


5x = 20
31 + 20 =51

51 = 51

what is 0+12???? I need Help

Answers

Answer:

12, can you help me I need help on my questions please it would mean alot and Ill post more questions with 50 points just help me with that and Ill post the points

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

is this true???

thx broh

Simplify each expression

1. -7(6v+4)+3v(v+3)

2. -3k(2k-3)+7(k-7)

Answers

1. -7(6v+4)+3v(v+3)
-42v-28+3v ²+9v
-33v-28+3v ²
=3v ²-33v-28

2. -3k(2k-3)+7(k-7)
-6k ²+9k+7k-49
= -6k ²+16k-49

Answer:

1. 3v^2 - 33v -28

2. -6k^2 + 16k - 49

Step-by-step explanation:

1. (-7 x 6v) + (-7 x 4) + (3v x 1v) + (3v x 3)

-42v-28+3v^2+9v

3v^2 + 9v - 42v -28

3v^2 - 33v -28

2. (-3k x 2k) + (-3k x -3) + (7 x 1k) + (7 x -7)

-6k^2+9k+7k-49

-6k^2 + 16k -49

Create two different equations that have infinite solutions to the equations .

Answers

Answer:

1. x = y - 2

2. 2y = 2x

Step-by-step explanation:

1. Any number can fit x and y so long as x is 2 lesser than y and y is 2 more than x.

2. x and y can be any number so long as they are the same number.

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