Which of the following is a solution to the equation: y = 7x + -59? Choose all that apply.
Select all that apply:
O (8,-3)
O (9,8)
O (7,-3)
0 (10,5)

Answers

Answer 1

Answer:

[tex](a)\ (8,-3)[/tex]

Step-by-step explanation:

Given

[tex]y =7x +-59[/tex]

Required

Select all solutions

[tex](a)\ (8,-3)[/tex]

This implies that:

[tex]x = 8; y=-3[/tex]

So:

[tex]y =7x +-59[/tex]

[tex]-3 =7 * 8 + -59[/tex]

[tex]-3 =7 * 8 -59[/tex]

[tex]-3 =56 -59[/tex]

[tex]-3 =-3[/tex]

The above is a solution:

[tex](b)\ (9,8)[/tex]

This implies that:

[tex]x=9\ y =8[/tex]

So:

[tex]y =7x +-59[/tex]

[tex]8 =7 * 9 + -59[/tex]

[tex]8 =7 * 9 -59[/tex]

[tex]8 =63 -59[/tex]

[tex]8 =4[/tex]

The above is not a solution because [tex]8 \ne 4[/tex]

[tex](c)\ (7,-3)[/tex]

This implies that:

[tex]x=7;\ y=-3[/tex]

So:

[tex]y =7x +-59[/tex]

[tex]-3 = 7 * 7 +-59[/tex]

[tex]-3 = 7 * 7 -59[/tex]

[tex]-3 = 49 -59[/tex]

[tex]-3 = -10[/tex]

The above is not a solution because [tex]-3\ne -10[/tex]

[tex](d)\ (10,5)[/tex]

This implies that:

[tex]x =10; y=5[/tex]

So:

[tex]y =7x +-59[/tex]

[tex]5 = 7 * 10 + -59[/tex]

[tex]5 = 7 * 10 -59[/tex]

[tex]5 = 70 -59[/tex]

[tex]5 = 11[/tex]

The above is not a solution because [tex]5 \ne 11[/tex]


Related Questions

What is the radius of a Ø6.75" circle? 3.375" or 3.750" or 4.375" or 6.750"

Answers

Answer:4.375

Step-by-step explanation:

Describe several methods you could use to determine the rational zeros of a polynomial function. Which would you choose to use first? Explain.

Answers

Answer:

The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function.

Step-by-step explanation:

Answer:

The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function.

Step-by-step explanation:

An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defective after a year of use. It has contacted customers and asked them to return to their dealer after a year to have their transmission checked. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission

Answers

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of all the transmissions it installed in a particular style of truck are defective after a year of use.

This means that [tex]p = 0.2[/tex]

Sold seven trucks:

This means that [tex]n = 7[/tex]

It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?

This is the probability that at least 3 are defective, that is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097[/tex]

[tex]P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670[/tex]

[tex]P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148[/tex]

0.148 = 14.8% probability that they will need to order at least one more new transmission

Cambridge slim ate 11 sausages in the first 6 minutes of a high stakes eating contest assuming that he conuitnes at the same pace how many sausgaes would he have eaten by the end of the 15 minute contest

Answers

60(seconds)x6(minutes)= 360 seconds. So 11 sausages in 360 seconds.
60(seconds)x15(minutes)= 900
(11/360)x900= 27,5 sausages



• On Sam's shelf are:
• * 5 fantasy books
4 science fiction books
. *2 comic books
*1 poetry book
• Calvin will randomly choose 1 book to read. What is the probability that
he will choose a comic book?
a) 5/12
b) 1/12
c) 1/3
d) 1/6

Ill reward brainliest! Please help!

Answers

its 1/6 because all together u have 12 books and there are 2 comics so 2/12 simplified is 1/6

State the domain and range
of f(x) = x²

Answers

Answer:

Domain : All real numbers

Range: y >= 0

Step-by-step explanation:

Answer:

range :all real numbers

domain: all real numbers

I need a word problem for 4 divided into 1/2 will give bwainliest

Answers

4 divided by 1/2?

I’ll answer your question, i just wanna know what the equation is

what is 1/3 +4 x 3

If you answer correctly i will give 100 points and Brainiest :)

Answers

12 1/3 or 12.33.

EXPLANATION:
because of order of operations or PEMDAS, multiplication comes first.

4 x 3 = 12

so now we have 1/3 + 12.

So 12 1/3.

Which in decimal form is 12.33

These prisms are similar. Find the surface
area of the larger prism in decimal form,
5 m
7 m
Surface Area = 90 m2
Surface Area = [?] m2

Answers

Answer:

176.4m²

Step-by-step explanation:

scale factor = 7/5 = 1.4

area scale factor = 1.4² =1.96

90*1.96 =176.4m²

Answer: 176.4

Step-by-step explanation: (5/7)^2, cross multiply wit 90/SA, 90*49/25 = 176.4

Order the numbers from least to greatest 45/11, 4.5, square root of 20, and square root of 45/11 NO LINKS!!!

Answers

Answer:

square root of 45/4, square root of 20, 4.5, 45/11

Step-by-step explanation:

square root of 45/4=3.354

square root of 20=4.47

4.5

45/11=4.9

Find the area of the trapezoid with bases 12 cm and 4 cm and height 1/6
cm.

Answers

I’m not sure if 1/6 is suppose to be 16 so if it is not let me know

A= 126

A= a+b/2 x h

12+4 / 3 x 16

Will give brainlyist
what is 6x7(7x6)-10

Answers

Answer:

1754

Step-by-step explanation:

Hail Hydra!

Answer:

I think it's 1,754

Step-by-step explanation:

I'm not 100% sure, sorry if it's wrong.

PEMDAS

Parenthesis first: (7x6=42)

Next: 6x7x42= 1,764

Lastly: 1,764-10=1,754

1,754

If this helped, then please give me crown, rate, and heart.

Thank you! ^-^

Which equation shows how to find the
angle measure of the part of the circle
without the arrow?

Answers

B because it can be A since a circle is 360 degrees and an arrow is only 90 degrees so that is why i think B

what is 4x5 gc ft kg gn hi dj cm cjj kg you too te you tu

Answers

4*5=20

:)

Have a good day

How do I solve for x?

Answers

Answer:

x = 4.8

Step-by-step explanation:

Since quadrilateral JKLM and PQRS are similar toe ach other, therefore the ratio of their corresponding sides are equal.

Thus:

QP/KJ = PS/JM

Substitute

8/5 = x/3

Cross multiply

5*x = 3*8

5x = 24

x = 24/5

x = 4.8

Brainliest for correct answer.

Answers

Answer:

a

Step-by-step explanation:

What is the domain of f(x) = 9 - x^2

Answers

Answer:

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

,

)

Set-Builder Notation:

{

x

|

x

R

}

Locate the vertex of the parabola.

Tap for more steps...

(

0

,

9

)

The range of a parabola that opens down starts at its vertex  

(

0

,

9

)

and extends to negative infinity.

Interval Notation:

(

,

9

]

Set-Builder Notation:

{

y

|

y

9

}

Determine the domain and range.

Domain:  

(

,

)

,

{

x

|

x

R

}

Range:  

(

,

9

]

,

{

y

|

y

9

}

image of graph

(-♾, ♾)
(negative infinity, infinity)

What is the proper order of organization from simplest to most complex.

A. rib bone, epithelial cell, heart, adipose tissue
B. cardiac muscle tissue, muscle cell, heart, muscular system
C. lung cell, alveoli, lung, respiratory system
D. neuron, nervous tissue, nervous system, brain

HELP ME ASAP

Answers

Answer:

A. 2,4,1,3

B. 2,1,3,4

C. 2,1,3,4

D. 1,2,4,3

Step-by-step explanation:

its always cell the simplest among the choices then tissue which is comprised of cells then organs which comprised of tissues and lastly the systems in our body that is comprised of organs

Which of the following is a non-rigid transformation?

Answers

Answer:

c

Step-by-step explanation:

Answer:

B: Dilation

Step-by-step explanation:

Translations, rotations, and reflections are all rigid transformations because the image isn't altered. This makes a dilation a non-rigid transformation because the image is getting larger or smaller.

I need help with number 3

Answers

Answer:

C

Step-by-step explanation:

60+70=130

M=50

K=130

m+k=180 it all adds up

I NEED THIS DONE NOW I'VE BEEN ON IT ALL DAY

Answers

Q5 is 115. Hope this helps! :) ✨

I can't see the numbers on Q6 sorry :((

Identify the volume of a regular triangular pyramid with base edge length 14 ft and height 9 ft.

Answers

Answer:

The volume is 588 ft³

Step-by-step explanation:

[tex]v = a {}^{2} \frac{h}{3} = 14 {}^{2} \times \frac{9}{3} = 588[/tex]

Answer:

254.6 ft3 F

Step-by-step explanation:

To find the volume of the pyramid, first calculate the area of the base.

As the pyramid is the regular triangular pyramid, the base is an equilateral triangle.

To find the area of the equilateral triangle, calculate the length of the height.

Since the triangle is equilateral, each angle in the triangle equals 60°.

The height forms a 30°- 60°- 90° triangle. One leg of this triangle is equal to half of the side of the large triangle, or 7 ft. The other leg of the triangle is equal to 73‾√ ft by the 30°- 60°- 90° Triangle Theorem.

Therefore, the length of the height of the triangle is 73‾√ ft.

To find the area of the base of the pyramid, B, use the formula for the area of a triangle, B=12bh.

Substitute 14 for b and 73‾√ for h.

B=12⋅14⋅73‾√

Simplify.

B=493‾√ ft2

To find the volume of the pyramid, use the formula for the volume of a pyramid, V=13Bh.

Substitute 493‾√ for B and 9 for h.

V=13⋅493‾√⋅9

Simplify.

V=1473‾√

Use a calculator to approximate.

V≈254.6 ft3

Therefore, the volume of the regular triangular pyramid is about 254.6 ft3.

In how many ways can a starting team of 5 players be chosen from a team of 14

Answers

Answer:

There are thousands of different combinations possible.

Step-by-step explanation:

The volume of smaller rectangular prism V = 512 cm3,
the volume of larger rectangular prism V= 4,096 cm3.
What is the ratio of the height of the smaller rectangular prism to the height of the larger rectangular prism?
Write an answer as the ratio of two whole numbers separated by colon. (example: 2:3)

Answers

512:4,096 or if we were reducing
1:8

If f(x)=x^2-1 Find f(-3) f(0) f(2) f(a) and f(a+1) first to answer gets brainliest

Answers

here you go, hope this is helpful!

55 points, please help me with this problem (please don't send a link)

Answers

Answer:

I cant see the picture sorry

Step-by-step explanation:

Answer:

Part A:  4.50x+6≤50

Part B:  x ≤ 9.7778

Step-by-step explanation:

I don't know if u want it rounded which is 10

Mort bought his house in 2004 for $279,000. it was recently appraised at $186,000. What is the approximate percent of decrease in value​

Answers

Answer:

33.3%

Step-by-step explanation:

(279,000 - 186,000) / 279,000 = 0.33333333333

0.33333333333*100= 33.3333333333

Formula used:

[tex]V_{2} -V_{1}[/tex] / [tex]V_{2}[/tex] × 100

V2= 279,000

V1= 186,000

The approximate percentage of the decrease in value​ of the house is 33.33%.

Purchase price of the house = $279,000

Appraisal cost of the house = $186,000

What is a percentage?

The percentage is the value per hundred.

The percent of the decrease in value​ = (279000-186000)/279000 *100

The percent of the decrease in value​ =(93000/279000) *100

The percent of the decrease in value​ =33.33%

Hence, the approximate percentage of the decrease in value​ of the house is 33.33%.

To get more about percentages visit:

https://brainly.com/question/24304697

Find the area of the following
trapezoid:
8 cm
5 cm
4 cm
16 cm
A = [?] cm2
PLEASE HELP

Answers

Answer:

48 cm²

Step-by-step explanation:

Area of trapezoid = [tex]\frac{a + b}{2}[/tex] × h

Area = (8 + 16)/2 x 4

Area = 24/2 x 4

Area = 12 x 4

Area = 48 cm²

Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.

Answers

Answer:

These are obtuse, right, and acute *triangles*

Step-by-step

Keyword: Triangle.

Hope that helped.

(Saw that this was one minute ago so might as well help, right?

What is an Expression?​

Answers

A feeling or emotion

Answer:

Hello, an expression are numbers, symbols, and operators grouped to show the value of something. For example, 4+5 and 45/5-2 are expressions.

Step-by-step explanation:

I hope this helped you!

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