Answer the following questions. Make sure to show all your work.
1. In each case below, show if the point given is a solution to the system of
equations.
a.)
Point (-0.8,-0.6)
Equation 1 - y = 2x + 1
Equation 2 - y = -3x - 3
b.)
Equation 1 - x + y = 3
Equation 2 - y + 2 / 2 = x
POINT - (1/3, 2)
PLZ HELP ME

Answers

Answer 1

a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of  equations

b) since  the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of  equation

In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value

For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:

f(x)  = 2x + 1

f(-0.8) = 2(-0.8) + 1

f(-0.8) = -1.6  + 1

f(-0.8) = -0.6

Simiarly;

y = -3(-0.8)- 3

y = 2.4 - 3

y = -0.6

Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of  equations

For the point (1/3, 2), substitute x = 1/3 into both functions as shown:

x = (y+2)/2

x = (2+2)/2

x = 4/2

x = 2

Simiarly;

x + 2 = 3

x = 3-2

x = 1

Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of  equations

Learn more on systems of equation here: https://brainly.com/question/847634


Related Questions

How many Match sticks will be In Image 6?​

Answers

19

In the first image, we are given 4 match sticks.

In the second image, we are given 7 match sticks. The difference between the match sticks is 3.

In the third image, we are given 10 match sticks. The difference between the match sticks again is 3.

If in the third image we are given 10 match sticks, and for every new image, there is another 3 match stick added, then in the sixth image, there must be 19 match sticks. Image 4: 10 + 3 = 13. Image 5: 13 + 3 = 16. Image 6: 16 + 3 = 19.

Answer = 19. Hope this helps. :)

Answer:

19

Step-by-step explanation:

Write the quadratic equation whose roots are 1 and -2, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)
I = 0
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5
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2021 Mc LLC All Rights Reserved tesof Use Peso
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Answers

Answer:

See below

Step-by-step explanation:

The quadratic equation in factored form:

a(x - α)(x - β), where a- leading coefficient, α and β - roots

We have:

a = 3, α = 1, β = -2

Substitute them to get:

3(x - 1)(x + 2)

Converting this into standard form:

3(x - 1)(x + 2) =3(x² + x - 2) =3x² + 3x - 6

What is the graph of the function rule? y=|3x|+2

Options below!

Answers

Answer: the 4th/last option

Step-by-step explanation:

Y goes up when x goes down or up. When x = 0, y = 2

Step-by-step explanation: I like to have the 3 on the

outside and we can just write it as y = 3|x| + 2.

Now, we know that this is the form y = a|x - h| + k where

(h, k) represents the vertex of the function.

Notice that there is no value of h so we say that h = 0.

In addition, we know that k = 2 so our vertex is (0, 2).

This eliminates the first graph and the third graph.

Since a is positive, our function opens upward.

So graph 4 matches with our equation.

Will mark brainly!

What is the inverse of [tex]f(x)=\frac{2}{x-1} +6?[/tex]
[tex]f^{-1} (x)=\frac{2}{x-1} +6[/tex]
[tex]f^{-1} (x)=\frac{2}{x} +7[/tex]
[tex]f^{-1} (x)=\frac{2}{y-6} +1[/tex]
[tex]f^{-1} (x)=\frac{2}{x-6} +1[/tex]

Answers

Answer:

[tex] {f}^{ - 1} (x) = \frac{2}{x - 6} + 1[/tex]

Step-by-step explanation:

we will subistitute f(x) by y and solve the equation in order to get the value of x,

then we subistitute x by y and y by x and y=f^-1(x)

the original price of a jacket was $74.00 .A store manager marked the price down by
25 1/2% . By how much was the price reduced?

Answers

If you mean reduced by 25.5%, then it got reduced by 34.46

74 = 100%
1.35 = 1% --> 100% : 74 = 1.35
34.46 = 25.5%

the new price is 39.54

Dose any one know the answers for geometry A: A semester exam
PLZ I NEED HELP FAST!!

Answers

Answer:

Step-by-step explanation:

82 +9=5000 thank me later

2. What is the x-intercept for the equation -2x + 5y = -10?

Answers

Answer:

Step-by-step explanation:

X intercept occurs when y = 0

-2x + 5(0) = -10

x = -10/-2

x = 5

Can somebody help me :

Answers

Answer:

A

Step-by-step explanation:

Negative numbers are smaller than positive numbers.

Answer:

Your correct 6.55 is a positive number while -6.5 is negitive and positive numbers are always larger then negitive ones

Hope This Helps!!!

Determine the domain and range of the function f(x) = â€""|x| 2. The domain of the function is. The range of the function is.

Answers

The domain of the function f(x)  =  |x|² is the set of all real numbers (-∞ < x < ∞)

The range of the function f(x)  =  |x|² is the set of all real numbers greater than or equal to zero ( f(x) ≥ 0)

The given function is:

f(x)  =  |x|²

This can also be expressed as:

f(x) = x²

This is because the square operator cancels the effect of the absolute value

The function f(x) = x² is valid for all real values of x. Therefore, the domain of the function f(x) is -∞ < x < ∞

The range of the function f(x) is all positive real numbers. This is because the square of all numbers gives a positive number.

Range = f(x) ≥ 0

Learn more here: https://brainly.com/question/25915612

Answer:

1. all the real numbers

2. all numbers less than or equal to 2.

Step-by-step explanation:

Noah is making grilled cheese sandwiches for friends. He has 24 ounces of cheese. He plans to split the
cheese evenly between 6 sandwiches.
Write an equation to determine how many ounces of cheese, c, Noah can use on each sandwich
How many ounces of cheese can Noah use on each sandwich?

Answers

Answer:

4 ounces

Step-by-step explanation:

6c = 24

c = 4

Answer: Noah can use 4 ounces per sandwich

an equation is c=24/6

Step-by-step explanation:

how to find the domain and range of a piecewise function without a graph

Answers

Answer:

Step-by-step explanation:

The x component of a function is domain and the y component is range of a function . For example -                                                                                                   R1={(3,4),(5,6),(7,9)}                                                                                                                  The domain of R1 ={3,5,7}                                                                                                                                                                                                                                     The range of R1={4,6,9}

On a certain hot​ summer's day, 421 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $788.50. How many children and how many adults swam at the public pool that​ day?

There were _ children at the public pool.

There were _ adult at the public pool

Answers

Answer:

214 children and 207 adults

Step-by-step explanation:

214 x 1.75=374.5

207 x 2 = 414

414 + 374.5 = 788.5

To avoid a storm, a passenger-jet pilot descended 0.57 mile in 0.6 minute. What was the plane's average change of altitude per minute?​

Answers

Answer:

0.95 miles/minute

can someone plz help me I need the answer asap ​

Answers

Answer:

no. c is the correct answer

For f (x) = 2x - 1 evaluate f(-8)

Answers

Step-by-step explanation:

f(x) = 2x - 1

Putting value of x = - 8

f(-8) = 2(-8) - 1

= - 16 - 1

= - 17

F(-17) because you plug -8 into x so 2•-8-1 which then times 2 and -8 get -16, then -16-1 is -17, have a good day/night!!

A certain stock sold for $56.12 on Monday. On Tuesday it sold for $60.19. Find the increase in the price of the stock from Monday to Tuesday

Answers

Answer:

$ 4.07

Step-by-step explanation:

The problem is asking for the Increase in the stock price from Monday to Tuesday, meaning they want to know the difference between the stock price on Monday and Tuesday.

So we subtract Monday's price from Tuesday's price.

$60.19- 56.12 = $4.07

The equation y=1/8xrelates proportional quantities x and y. What is the value of x when y is 6?

Answers

Answer:

48

Step-by-step explanation:

6 = 1/8x

x = 48

Find how many square feet of grass are in the plot shown on the right.

Answers

5,850 sq. ft
Hope this is helpful!

Answer:

5,850 sq. ft

Step-by-step explanation:

I\ need\ the\ answers\ for\ 6.07\ 8th\ grade\ on\ peak\ fueled

Answers

Answer:

what's the question that you need answered?

Step-by-step explanation:

?

a computer artist created a rectangular image measuring 55 125 scale factor of 2.5 what are the dimensions of the dilated image? quick!!​

Answers

Answer:

sex

Step-by-step explanation:

69

NEED HELP NOW!!!
Properties of Perpendicular Bisectors Properties of Both Perpendicular Bisectors and Angle Bisectors Properties of Angle Bisectors
The bisector passes through the midpoint of a segment

The bisector is equidistant from the endpoints of the segment

The bisector can only exist if the original figure is a line segment.

The bisector cuts the original figure into two congruent parts.

The bisector is equidistant from portions of the figure.

Only one of each type of bisector exists in a plane.

The bisector passes through the interior of an angle.

The bisector creates a right angle with the figure.

The bisector is equidistant from the sides of the angle.

Which piece of information is incorrectly placed in the table?

A. The bisector cuts the figure into two congruent parts.
B. The bisector is equidistant from portions of the figure.
C. The bisector passes through the midpoint of a segment.
D. The bisector creates a right angle with the figure.

Answers

D.

Explanation:

a landscape of farmland bisected by long straight roads"

divide into two parts.

hope I help you ☺️❤️

:) :>

113 + 377 = 117 + _

Pls answer guys.

Answers

Answer:

373

Step-by-step explanation:

113+377=490

490-117=373

answer:

=117+373

FAM I NEED YOU HELP POR FAVOR:
You purchase two bottles of sunscreen and a hat. The hat costs $6.50. You pay 6% sales tax. You pay a total of $16.43. How much does one bottle of sunscreen cost?

Answers

Answer:

I got you fam dont worry

Step-by-step explanation:

if you want me to show my work I dont mind at all but the answer is 4.50

Which mixed number is equivalent to the improper fraction 4 2/5?

4 2/5

7 4/5

8 2/5

9 3/5

Answers

the answer is 4 2/5, and I don't think others are equivalent to it

Share 120 in the ratio 3:5:7

Answers

Answer:

24:40:56

Step-by-step explanation:

3+5+7=15

120/15=8 1 Ratio is 8

3x8=24

5x8=40

7X8=56

i dont know if its the easiest method

What is m<6
A.80
B. 100
C.70
D.110

Answers

Step-by-step explanation:

to fully answer we would need to see at least one specific size (segment lengths, angle sizes).

but there is not one in the whole visible picture. so, everything just stays relative.

just be the presentation in the picture, angle 6 is larger than 90 degrees. so, B or D would be right.

if it helps you, it is clear that 6 = 1 = 9 = 14 = 180-2 = 180-5 = 180-10 = 180-13.

What would be the equation of the midline of this graph?

Answers

Answer:

Step-by-step explanation:

Vertices of the quadrilateral ABCD are,

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',

Rule for the reflection of a point across x-axis is,

(x, y) → (x , -y)

Coordinates of the image point A' will be,

A(-5, 2) → A'(-5, -2)

From the picture attached, point E is obtained by translation of point A'.

Rule for the translation of a point by h units right and k units up,

A'(x+h, y+k) → E(x', y')

By this rule,

A'(-5 + h, -2 + k) → E(1, -1)

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That means

Rule for the translation will be,

[(x + 6), (y + 1)]

solve the inequality and graph its solution.

Answers

Answer:

D

Step-by-step explanation:

Hope this helped! :D

read what on the image then answer

Answers

Fraction 10/12 would be greater than 3/4

Pls Help T^T ASAP FIRT TO ANSWER GETS BRAINLIEST

Answers

Answer:

The answer would be the third one shaded circle at -1 arrow goes left.

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