Is the ordered pair (–8, –7) a solution to the equation 3x + 10 = 2y? Show your work.

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

Substitute x = - 8 and y = - 7 into the equation

If both sides are equal then (- 8, - 7) is a solution

left side = 3x + 10 = 3(- 8) + 10 = - 24 + 10 = - 14

right side = 2y = 2(- 7) = - 14

Since both sides are equal then (- 8, - 7) is a solution to the equation


Related Questions

A line passes through the points (−4,−9)
and (−2,−6) What is the equation of the line in Slope-Intercept Form?

Answers

Answer:

D. [tex] y - 5= 3(x - 1) [/tex]

B. [tex] y = \frac{3}{2}x - 3 [/tex]

Step-by-step explanation:

Problem 1:

Point-slope form equation is given as [tex] y - y_1 = m(x - x_1) [/tex], where, (x1, y1) is a point on the line, and m = slope.

Find the slope of the line of the graph given, using 2 points on the line, points (0, 2) and (1, 5).

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 5}{0 - 1} = \frac{-3}{-1} = 3 [/tex]

Substitute (x1, y1) = (1, 5) and m = 3 into [tex] y - y_1 = m(x - x_1) [/tex]

[tex] y - 5= 3(x - 1) [/tex]

The answer is D.

Problem 2:

Slope-intercept equation takes the form: [tex] y = mx + b [/tex], where, m = slope, and b = y-intercept.

Find m and b.

Given, points (−4,−9) and (−2,−6),

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-6 -(-9)}{-2 -(-4)} = \frac{3}{2} = \frac{3}{2} [/tex]

Substitute x = -2, y = -6, and m = ³/2 into [tex] y = mx + b [/tex], to find b:

[tex] -6 = \frac{3}{2}(-2) + b [/tex],

Subtract b from both sides

[tex] -6 = -3 + b [/tex]

Add 3 to both sides

[tex] -6 + 3 = b [/tex]

[tex] -3 = b [/tex]

[tex] b = -3 [/tex]

Substitute m = ³/2, b = -3 into [tex] y = mx + b [/tex]

[tex] y = \frac{3}{2}x + (-3) [/tex]

[tex] y = \frac{3}{2}x - 3 [/tex]

The answer is B.

What is HCF of 5a and 15a
Please help me I don’t understand

Answers

Answer:

5a.

Step-by-step explanation:

The HCF is short for Highest Common Factor.

Write the 2 expressions in factor form:

5a = 5 * a

15a = 5 * 3 + a

Note that 5 and a are common to both sets of factors, so the HCF = 5a.

For membership to an athletic club, it costs $110 to join and $25 per month of membership. Write an equation to show the situation

Answers

Answer:

110 + 25x = Total Cost (or any type of variable needed, like a,b,c, etc.)

Step-by-step explanation:

Since the monthly fee occurs more than once, and we don't have the number of months, we put an x to represent the amount of months. The $110 is the one time additional fee for the membership, so it doesn't need a variable.

select all of the equations equivalent to 7x/3 = 14

A: 5x - 23 = 7
B: x - 4 = 2
C: 2x = 14
D: x - 4 = 0

Answers

Answer:

A and B

Step-by-step explanation:

I found the number that makes the 7x/3=14 statement correct that number is. Then I plugged 6 into the other equations

these were the correct ones

5•6-23=7

6-4=2

these are the wrong ones

2•6=14

6-4=0

Will mark brainlest for a person who answers first IF YPU HAVE A EXPLANATION TO

Answers

Answer:

TAG is described as an acute angle.

Step-by-step explanation:

This is because TAG is an angle that is less than 90 degrees.

Answer:

acute

Step-by-step explanation:

TAG

think of the angle, the gap is small and T is close to G

if it would be right the T would be upright

if it was straight T would lay flat corresponding to G making a line

if it was obtuse the gap would surpass the right angle outward

Expand and smiplify(3m + 3)²

Answers

Answer:
9m^2 + 18m+ 9

NEED HELP ASAP WILL GIVE BRAINLIEST AND 15 POINTS
1/3x + 3 - 5/6x = -15

Answers

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Combine~\frac{1}{3}m~and~-\frac{5}{6}m:[/tex]

[tex]\bold{\frac{1}{3}m+-\frac{5}{6}m=-\frac{1}{2}m }[/tex][tex]\bold{You~could~also~solve~this~by~turning~the~fractions~into~decimals.}[/tex]

[tex]2.)~Subtract~3~from~both~sides:[/tex]

[tex]\bold{3-3=Cancels~Out}[/tex][tex]\bold{-15-3=-18}[/tex][tex]\bold{We~do~the~opposite~of~what~we~see:+3,~meaning~we~subtract.}[/tex]

[tex]3.)~Multiply~both~sides~by -2:[/tex]

[tex]\bold{-\frac{1}{2}m}[/tex] × [tex]\bold{-2=Cancels~Out}[/tex][tex]\bold{-18}[/tex] × [tex]\bold{-2=36}[/tex][tex]\bold{The-2~is~from-\frac{1}{2}m.~Since~it's~dividing~we~do~the~opposite~and~multiply~by~-2.}[/tex]

______________________________

 [tex]\bold{Answer:}[/tex]

[tex]\bold{m=38}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]

Use the inequality below to answer this question.
30 + 5(m – 20) ≤ 120
What values of m make this inequality true?

A
m ≥ 25

B
m ≤ 25

C
m ≥ 38

D
m ≤ 38

Answers

Answer:D

Step-by-step explanation:

HELP! Ev evaluate the square root of 16 plus the square root of 29, correct to two decimal places.

Answers

Answer:

[tex]\sqrt{16} +\sqrt{29} =9.39[/tex]

Step-by-step explanation:

[tex]\sqrt{16} =4[/tex]

[tex]\sqrt{29}[/tex] ≅ [tex]5.39[/tex]

[tex]4+5.39=9.39[/tex]

Answer:

9.39

Step-by-step explanation:

[tex]\sqrt{16}[/tex] = 4

[tex]\sqrt{29}[/tex] = 5.39

4 + 5.39 = 9.39

Perform the indicated operation.
1 ⅔ + 5 ⅜​

Answers

Answer:

169/24 or 7 1/24

Step-by-step explanation:

In the process of making a financial forecast, Farid has been looking closely at his
variable expenses. Currently, each week he spends an average of $25 on food, $30 on
entertainment, and $40 on clothing and other purchases. If Farid reduced his variable
expenses in each of these three categories by $7 a week, how much would he save
over the course of one year?

Answers

Answer:

1092

Step-by-step explanation:

first calculate expense for each week;

25+30+40= 95

expense after saving

25-7= 18

30-7=23

40-7=33

18+23+33= 74

total saving for each week= 95-74=21

(you can also just do 7*3=21 to know total saving each week)

weeks in a year=

365 days/7= 52.14 = 52 weeks

total savings for the year= 52*21=$1092

Answer:

$1092

Step-by-step explanation:

There are 3 variables

Food, entertainment and clothing and other purchases

Saving amount is

$7 per each variable per week

Total saving per week is

$7*3 = $21

Saving per year considering 52 weeks per average year is:

$21*52 = $1092

ANSWER>> DETERMINE THE RANGE OF THE FUNCTION.
.
y = 1/4x^2 - 5
.
A) All real numbers.
B) All integers less than or equal to -5.
C) All integers greater than or equal to -5.
D) All real numbers greater than or equal to -5.

Answers

Answer:

D

Step-by-step explanation:

When the function or the coefficient in this case 1/4x^2 is positive it means it's opening up like a u, meaning all the values will be bigger than the C term or -5 in this case.

Answer:

D

Step-by-step explanation:

the function is open-up shape, and the vertex is (0,-5)

Because it opens up, the vertex is minimum value.

range is equal to or greater than -5

can i have points please?

Answers

Answer:

You are giving points wow thx.

And yes just answer questions for points

Answer:

I SMELL POINTS

Step-by-step explanation:

YUM

11cm
14cm
9cm
20cm
find the
area
the shape

Answers

That first question is confusing but if I can break that down I think it will be 82

There are 340 calories in five ounces of a certain ice cream. How many calories are there in three pounds?

Answers

68 pounds I got to get off my phone number I got it

Solve 4(x + 1) = 4x + 4

A- No solution
B- 0
C- All real numbers
D- 1

Answers

The answer is: c- all real numbers

Find the area A of polygon CDEFGH with the given vertices. C(0,5), D(2,5), E(2,3), F(3,2), G(-1,2), H(0,3)

Answers

Answer:

The area of the polygon CDEFGH is 7

Step-by-step explanation:

Area of a Polygon

The area of a polygon is generally calculated as the sum of the smaller areas that form its full shape, give each partial area has a known shape, like a square, rectangle, triangle, circle, etc.

The six points given in the question are plotted in the image below. They form a polygon whose area can be divided into two smaller shapes:

The area CDHE is a square of length side 2. Area of a square:

[tex]A1=L^2[/tex]

The area HEFG is a trapezoid with bases lengths 4 and 2,  and height 1. Area of a trapezoid:

[tex]\displaystyle A2=\frac{b1+b2}{2}h[/tex]

Calculate both areas:

[tex]A1=2^2=4[/tex]

[tex]\displaystyle A2=\frac{2+4}{2}\cdot 1=3[/tex]

Total Area=4+3=7

The area of the polygon CDEFGH is 7

If the length of a rectangle is
expressed by 22 + 41-8 and the
width is 3x What is the area of the
rectangle?

Answers

I think that the length's area is 6075

When you went apple picking, you got a total of 25 apples.
However, 10 of the apples weren't edible because they were
rotten. What percent of apples that you picked were edible?
%

Answers

Answer:

60% were edible. 40% were not.

Step-by-step explanation:

Answer: is 60%

Step-by-step explanation:

3:20 what time will it be in 35 minutes

Answers

Answer: 3:55

Add 20 and 35, to get the number of minutes out of 60.

20 + 35 = 55

The time will be 3:55 35 minutes after 3:20.

Hope this helps you!

Answer:

It will be 3:55 because 20 plus 35 equals 55 making it 3:55 in the next 35 minutes.

Step-by-step explanation:

20+35=55

1) Ao somar o quíntuplo de um número com 5², o total é 300. Considerando x como a incógnita. Qual o valor de x?
a)25
b)5
c)325
d)55

2) O triplo de um número aumentado do dobro desse mesmo número é igual a 100. Considerando a incógnita como y, qual o valor de y?
a)100
b)20
c)24
d)5

3) A metade de um número, menos 21, é igual a -5. Considere x o valor a ser determinado. É correto afirmar que x é igual a?
a)52
b)-32
c)32
d)16

4)Ao resolver a expressão y - 30 = 3 . 15, qual o valor de y?
a)75
b)65
c)55
d)45

5)Observe a equação 3x + 72 = 104. Qual descrição abaixo corresponde a ela?
a)A soma entre o triplo de um número e 72 é igual a 104
b)O triplo de um número subtraído de 104 é igual a 72
c)O triplo de 3 é igual a 104 somado a 72

6) Quando subtraímos 50 do triplo um número, obtemos 40. Qual equação representa essa afirmação?
a)3x = 50 - 40
b)3x - 50 = 40
c)3x = 40 - 50

7) Determine a solução das seguintes equações do 1º grau com uma incógnita. 63y + 75 = 327. Qual o valor de y=?
a)2
b)4
c)6
d)8

8) Determine a solução das seguintes equações do 1º grau com uma incógnita. 13x - 100 = 8x. Quanto vale x=?
a)18
b)19
c)20
d)21

9) Determine a solução das seguintes equações do 1º grau com uma incógnita. 10 (x + 1) - 8 (x - 2)= 30 . Quanto vale x=?
a)1
b)2
c)4
d)8

10) Determine a solução das seguintes equações do 1º grau com uma incógnita. 10 + 9y = 100. Quanto vale y=?
a)9
b)10
c)11
d)12

Answers

Answer:

Huh?

Step-by-step explanation:

Let x be the number of books and y be the number of magazines you can buy. Which of the following represent(s) a possible solution to the equation 10x +4y = 40? Select all that apply.

(0, 10)

(3, 2.5)

(-2, 15)

(2, 5)

Answers

Step-by-step explanation:

so what you are going to do is subsitute all the x axis coordinates with the x in the equation they gave you and then do the same with the y for example A.

10(0)+4(10)=40

Answer:

(0, 10)

Step-by-step explanation:

substitute the value of x,y given into the formula, that equates 40.

10x + 4y = 40

let x = 0, y = 10  ;         10(0)  + 4(10)   = 40    

let x = 3, y = 2.5 ;         10(3)  + 4(2.5) ≠ 40     x

let x = -2, y = 15  ;         10(-2) + 4(15)   ≠ 40    x

let x = 2, y = 5     ;        10(2)   + 4(5)    ≠ 40    x

therefore, (0, 10) is the right answer

What do you call a relation where each element in the domain is related to only one value in the range by some rules?

Answers

A function

Each x value can only have one y value

please help me, i really don't know how to solve this question ​

Answers

Answer:

60 degrees

Step-by-step explanation:

40 degrees + 2y+20 degrees makes a straight angle. (from alternate interior angles postulate)

Thus, 2y+60 degrees = 180, or 2y = 120 degrees.

This means y = 60 degrees

An article was purchased for ₹1239 including GST of 18%. Find the price of the article before GST

Answers

Answer:

₹1015.98

Step-by-step explanation:

Given parameters:

 Selling price of article =  ₹1239

GST = 18%

Unknown:

Price of the article before GST = ?

Solution:

To find the price of the article before GST, we simply take away the percentage cost of the GST;

   GST = [tex]\frac{18}{100}[/tex] x  ₹1239 =  ₹223.02

Now, cost before including GST;

    =  ₹1239 -  ₹223.02

   =  ₹1015.98

Can someone plz help me

Answers

Answer:

for the first one rule x6-3:

4=21, 8=45, 5=27, 9=51, 7=39, and 10=57

For the next one:

1=2, 2=4, 3=6, 6=12, 9=18, and 10=20

Step-by-step explanation:

Okayy! Done! The first number is input, the second number is output. So first you have 2 times 4 divided by 2! 3 times 4 divided by 2. Just follow the rule.

Can someone help I have a second chance

Answers

Answer:

rewrite equation 2 for x

x=8-7y

plug in x for equation 1

3/8*(8-7y)+1/3y=17/24

solve for y

3-17/24=21/8y-1/3y

55/24 = 55/24y

y=1

sub y back into eq. 2

x+7(1) = 8

x = 1

Step-by-step explanation:

A candy store made 6/1/2pounds of fudge in 1/4 hour. how many pounds of fudge can the store make in 1hour?​

Answers

Answer:

26 pounds of fudge in one hour

Write an inequality for the graph.

Answers

Easy buddy...

[tex]y \geqslant |x - 5| + 1 [/tex]

Just it....

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

10. Which polynomial expresses the difference of these two polynomials?
(74+6% - 10) - (- 346 - 7k + 1)
O 10k - 1k - 11
O 1046 - 16 - 9
O 10k + 13k – 11
O 10k +13k - 9

Answers

I think that answer is 10k+13k-11
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