What is the solution of the system of equations shown below?

y = –x + 3
y = 4x – 2

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

[tex]y=-x+3~~.....(i)\\\\y = 4x-2~~....(ii)\\\\\text{Substitute}~ y = -x+3~ \text{in equation (ii):}\\\\\\-x+3 = 4x-2\\\\\implies 4x +x = 3+2\\\\\implies 5x = 5\\\\\implies x = \dfrac 55 =1\\\\\\\text{Substitute x= 1 in equation (i):}\\\\y= -1 +3 = 2\\\\\text{Hence}~ (x,y)=(1,2)[/tex]


Related Questions

i really need help with these two questions pleeeaassseeee

Answers

Answer:

10 is B

11 is D

Step-by-step explanation:

2
Which is the equation of a line that has a slope of 3 and passes through point
(-3,-1)?
2
1o -+1
O y=-3x+1
O y=-x+3
O y=-x-1
=
O y=-x-3

Answers

Answer:

Step-by-step explanation:

We'll start with the slope intercept form of a straight line equation:

y = mx + b, where x is the slope and b the y-intercept.  The slope we are given is 3, so:

y = 3x + b

We need a value of b that will force the line to go through (-3,-1).  Do this by entering that point in the equation and solving for b:

y = -3x + b

-1 = 3(-3) + b

b = 8

y = 3x + 8

Solve for g.
f=1/3(g+h-k)

help it’s timed

Answers

Answer:

g = 3f - h + k

Step-by-step explanation:

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

find the highest common factor

Answers

Answer:

3x

Step-by-step explanation:

because both terms are common 12 and 6 is 3 and x² and x is x

Find the value of N the expression 24 : N = 12 : 17.

Answers

N=34
To solve this you figure out how they got the number 24 to be 12, in this case they divided by 2. So, to figure out what number divided by 2 equals 17, you multiply 17 by 2, which is 34.
I hope this helps, if you have any questions please feel free to ask! :)

Answer:

N = 34

Step-by-step explanation:

METHOD I

(hit and trial)

The given two ratios have to be equal.

This means, 24 : N must break down to 12 : 17 after dividing it by some common factor.

The common factor here is 2.

Since,

12 × 2 = 24

17 × 2 = 34

[tex] \boxed{\mathsf{ \underline{N \: must \: be \: 34}}}[/tex]

(after dividing the first ratio by 2(common factor) we get the second ratio. Meaning that they become equivalent as required by the question).

METHOD II

(mathematical approach)

Ratios can be written in form of fractions as:

[tex] \boxed{ \mathsf{ \frac{24}{N} = \frac{12}{17} }}[/tex]

Cross multiplying:

[tex] \implies \mathsf{24 \times 17 = 12 \times N }[/tex]

taking 12 to the denominator:

[tex] \implies \mathsf{ \frac{24 \times 17 }{12} = N }[/tex]

24 and 12 gets canceled and 2 takes up their spot

(why?

=> 24 ÷ 12 = 2)

[tex] \implies \mathsf{2 \times 17 = N } [/tex]

[tex] \implies \mathsf{2 \times 17 = N } [/tex]

[tex] \implies \mathsf{ N = 34 } [/tex]

[tex] \implies \mathsf{ N = 34} [/tex]

Find the diameter of a circle whose Circumfrence is 66 m​

Answers

Answer:

21.00845

Step-by-step explanation:

πD = 66m

D = 66x 7/22

D = 21m is your answer brainlist me plz

a man who is 1.6 m tall observes the angle of elevation of the top of a tower is 45°.if the height of the tower is 21 m,find the distance between the man and the tower.​

Answers

Step-by-step explanation:

hope it will help you.....

Which function has the same domain as y= 2 sqrtx

Answers

Answer: the first option.

Step-by-step explanation:

Answer:

[tex]f(x) = \sqrt{x } - 2 \ \\ f(x) = 5 \sqrt{x} [/tex]

help with my math READ IT CARFULLY

Answers

Sci = π . 2 . 2 = 12,56 ⇒ 1/2 Sc1 = 1/2 . 12,56 = 6,28

Srec = 6 . 4 = 24

S= 6,28 + 24 = 30,28

the answer is 30,28

ok done. Thank to me :>

Find the equation of the line passing through the points (-1,7) and
(2,-8). Write the equation in slope-intercept form.
A) y = -5x + 2
B) y = -5x + 7
C) y = 5x + 12
D) y = 5x – 18

Please help

Answers

A)
slop intercept form is y=mx+b

To find m, it is (y2-y1)/(x2-x1) or (-8-7)/(2-(-1)) which then = -5

To find b, the y-intercept choose one of the points and solve for b using:
y=x(slope)+b
7= -1( -5)+b
7= 5+b
2=b (subtract 5 on both sides)

I hope this helped!

HELP PLEASE!!! NEED NOW

Answers

Answer:

12

Step-by-step explanation:

write y= - 4x on a graph

Answers

If u put in a graphing calculator and look at the table you can plot the points given

If 90% of 150 students passed their exam, and 1/5 of those received an A on the test, how many students received an A?

Answers

27

Explanation-
90%= .9
.9(150)=
135
135(1/5)=
27

Answer:

27 students received an A

Step-by-step explanation:

90% of 150 is 135

1/5 of 135 is 27

which multiplication can be used to explain the solution to 15 divided by one over 3

Answers

Answer:

3x5=15

5x3=15

Step-by-step explanation:

quiz 3-1 parallel lines transversals and special angle pairs

Answers

The following statements are true:

Segment DEF is parallel to ABCThe line segment  AB is parallel to DELine FC is parallel to ADthe line that is skewed to DE is BC

The given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)

Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;

DEF is parallel to ABCCADF is parallel to CBEF

For the lines, the lines that are parallel to each other are:

AD is parallel to BEAB is parallel to DEFC is parallel to AD

For skew lines, they are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC

Learn more about parallel and skew lines here: https://brainly.com/question/18013592

A builder completed 65 houses in five months. At this rate, how many houses will the builder
complete in a year? (1 year = 12 months)
H
13 houses
L
130 houses
חד
F
780 houses
с
156 houses

Answers

Answer:

C. 156

Step-by-step explanation:

65/5

13 houses per month

13*12=156

On an architect’s drawing of a house, 1 inch represents 7 feet. If the bedroom window is 5 inches long on the drawing, how long will it be in the actual house?

Answers

Answer:  35 feet

Work Shown:

1 inch : 7 feet

5*(1 inch) : 5*(7 feet)

5 inches : 35 feet

5 inches on paper correspond to 35 feet in the actual house.

Deshaun has 38 carnival tickets.
It costs 5 tickets to ride the roller coaster.
How many rides can he take?

Answers

Answer:

7 rides

Step-by-step explanation:

38/5=7 with a remainder of 3. He need 5 tickets to ride so he can only take 7 rides.

7 rides is the answer.
Explanation in steps: 38/5=7 with a remainder of 3. He can only take 7 rides because he needs 5 tickets to ride.

Evaluate the expression when b=5 and y=-2. b-8y ​

Answers

Substitute the numbers in place of the variables. (5)-8(-2)—> 5+16–>21. Answer is 21. Can I get brainliest?
ubstitute the variables with the numbers. 5+16->21 = (5)-8(-2). The correct answer is 21.

in a class of 40 students, only 20% of the students are participating in an art competition. how many students are not taking part in the competition?​

Answers

Answer:  32

======================================================

Explanation:

There are two approaches.

Method 1)

20% of 40 = 0.20*40 = 8

Since 8 students are participating, this means 40-8 = 32 are not participating.

-----------

Method 2)

20% are participating, so 100% - 20% = 80% are not participating

80% of 40 = 0.80*40 = 32

Help me: Solve: z^4 = -4

All answers should be in the format a+bi where a and b are real numbers

Answers

z²-2i=0

Answer:

Solution given:

z⁴=-4

doing square root on both side

[tex]\sqrt{z⁴}=\sqrt{2²*-1}[/tex]

we know i²=-1

substituting i² we get

z²=[tex]\sqrt{2²*i²}[/tex]

z²=2i

z²-2i=0 is a required answer. where

z² and 2 is real number.

Answer:

  z = {-1 -i, -1 +i, 1 -i, 1 +i}

Step-by-step explanation:

Using Euler's formula, we can write the equation as ...

  z^4 = 4e^(i(π +2πn)) . . . . . . where n is any integer

Then the 4th root is ...

  z = (√2)e^(i(π +2πn)/4 = (√2)e^(i(π/4 +nπ/2)) . . . . . for n = 0–3

  z = √2(cos(π/4+nπ/2) +i·sin(π/4 +nπ/2)) . . . . . for n = 0–3

  z = ±1 ±i

  z = {1 +i, -1 +i, -1 -i, 1 -i}

_____

Additional comment

Values of n are only needed in the range 0–3, because the answers repeat for values other than those.

In the figure below, m∠1 = x and m∠2 = x - 4. Which statement could be used to prove that x = 47?
A) m∠1 = m∠2
B) m∠2 = 47
C) m∠1 + m∠2 = 90
D) m∠1 + m∠2 = 180

Answers

The answer is C) m∠1 + m∠2 = 90

Explanation: So ∠1 is x and ∠2 is x-4

Basically you know than ∠3 is 90° ... And a straight line is 180° ..                            So technically we can just find out 180-90 is 90(the other angle 1 + 2).

To get 90° we'll add ∠1 and ∠2 in other ways, like technical thinking-

So you already know adding ∠1 and ∠2 is 90°. So ∠1 + ∠2 = 90°

In other words you can say m∠1 + m∠2 = 90

I need help with a photo and y’all can choose whatever like for number 7

Answers

Step-by-step explanation:

The one point where the lines intersect is one solution. If both points are on the same line it is one solution. If the lines do not intersect it is no solution.

can anyone answer this question please
6[y-2]/7-12=2[y-7]/3

Answers

Answer:

y =47.5.

Step-by-step explanation:

First eliminate the fractions by multiplying through by the LCM of 7 and 3 which is 21:

21* 6[y-2]/7-21*12 = 21*2[y-7]/3

18(y - 2) - 252 = 14(y - 7)

18y -36 - 252 = 14y - 98

18y - 14y = -98 + 36 + 252

4y = 190

y = 190/4

y = 47.5.

solve the systems of equations using substitution

y = -3x + 5

5x - 4y = -3

Answers

X = 1
y = 2

hope it helps good luck
X=1
Y=2
5x-4(-3x+5)=-3
5x+12x-20=-3
17x-20=-3
17x=17
X=1
Y=-3(1)+5
-3+5
Y=2

What is the solution set for this inequality?



negative x plus 40 is greater than negative 16,

Answers

Answer:

x < 56

Step-by-step explanation:

- x + 40 > -16

-x + 40 - 40 > -16 -40

-x > -56

-x / -1 > -56 / -1

x < 56

A cone has a height of 15 millimeters and a radius of 15 millimeters. What is its volume?
Use a 3.14 and round your answer to the nearest hundredth,

Answers

Answer:

10,597.50 cubic mm

Step-by-step explanation:

V(cone) = [3.14(h)(r²)] ÷ 3

= 3.14(15)(15²) ÷ 3

= 10,597.5

What is the value of 2^2n ?​

Answers

Answer:

2^2n = 4n

hope it helps you :)

Answer:

4n

Step-by-step explanation:

2^2n = 4n

hope u liked this answer :)

Choose the inequality that could be used to solve the following problem.

Three times a number is at most negative six.

(A) 3x ≤ -6

(B) 3x < -6

(C) 3x ≥ -6

(D) 3x > -6​

Answers

Answer:

I believe the answer is A

Step-by-step explanation:

three times x can be equal to, but never greater than -6

Answer:

A. 3x ≤ -6

Step-by-step explanation:

the sentence ‘3x is at most -6

means that the most 3x is allowed to be is -6

it can be -6 or any number less than -6

So, the phrase 3x is at most -6

’ means ‘

3x ≤ -6

What is 13/12 as a percentage?

Answers

13/12 x 100= 108.33%
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