how many solutions does the system have?
y=-2x -4
y=3x + 3

Answers

Answer 1

Answer:

x=−7/5and y=−6/5

Step-by-step explanation:

Step: Substitute−2x−4foryiny=3x+3:

y=3x+3

−2x−4=3x+3

−2x−4+−3x=3x+3+−3x(Add -3x to both sides)

−5x−4=3

−5x−4+4=3+4(Add 4 to both sides)

−5x=7

−5x

−5

=

7

−5

(Divide both sides by -5)

x=−7/5


Related Questions

What is the average rate of change of the function f given by f(x) = x4 - 5x on the closed interval (0, 3)?

Answers

Answer:

The average rate of change of the function is 22.

Step-by-step explanation:

The given function is :

[tex]f(x)=x^4-5x[/tex]

We need to find the average rate of change of the function on the closed interval (0, 3).

The average rate of change of a function in interval (a,b) is given by :

[tex]R=\dfrac{f(b)-f(a)}{b-a}[/tex]

Here, a = 0 and b = 3

[tex]R=\dfrac{(3^4-5(3))-(0^4-5(0))}{3-0}\\\\=\dfrac{66}{3}\\\\=22[/tex]

So, the average rate of change of the function is 22.

Answer:

22

Step-by-step explanation:

(f(3)-f(0))/3

=66/3

=22

PLEASE HELP!!!! 20 POINTS

Answers

Answer:

relative

Step-by-step explanation:

Relative is the answer

2. Think of the top and middle shelves as two lines cut by a transversal. What type of angles are
Z1 and 25?

Answers

Answer:

Angles 1 and 5 are corresponding angles.

Step-by-step explanation:

These are the different types of angles formed by a transversal:

1. Corresponding angles are angles that lie on the same side of the transversal line. Angles 1, 3, 5, 6, 9, and 11 are corresponding angles because they are all on the left side of the transversal (the line that cuts through the other lines). Angles 2, 4, 6, 8, 10, and 12 are corresponding angles because they are all on the right side of the transversal.

2. Alternate interior angles are angles that are nonadjacent angles that lie on opposite sides of the transversal and in between the horizontal lines. Here the alternate interior angles are 3 and 6, 4 and 5, 7 and 10, and 8 and 9.

3. Alternate exterior angles are those that are nonadjacent and lie on the outside of the horizontal lines. In this diagram, angles 1 and 12 and angles 2 and 11 are alternate exterior.

4. Same-side interior angles are angles that lie on the same side of the transversal and in between the horizontal lines. The same-side interior angles in this diagram are angles 3 and 5, 7 and 9, 4 and 6, and 8 and 10.

Algebra one bonus questions

Answers

Answer:

y=3/5x+3

y=1/2x+11.5

neither

Step-by-step explanation:

What percent of 90 is 540?

Answers

Answer:

16.67

Step-by-step explanation:

Solution for 90 is what percent of 540:

90:540*100 =

(90*100):540 =

9000:540 = 16.67

Answer:

16.67

Step-by-step explanation:

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

94/ 540 × 100/ 100

= ( 90 × 100/ 540 ) × 1/ 100

= 16.67/ 100

the answer is 16.67%

hope it helps!

If a ÷ b = 2 and b ÷ c =3/4, what is the value of c ÷ a? Express your answer as a common fraction.

Answers

Answer:

in the picture above.

Step-by-step explanation:

I hope that it's a correct answer.

I'm so confused. If you answer, please explain.

Answers

Answer:

its SAS

Step-by-step explanation:

HF = GF

HGJ angle = FGJ angle

JG = JG

Estimate the difference. Round each number to the nearest whole number, then subtract.

14 5/7 – 3 1/10
The difference is approximately _____ .

Answers

Answer:

nothing is the difference

help plz will give brainliest

Answers

Answer:

4 the

Step-by-step explanation:

hope that helps because it is the inequality

write 28/63 in simplest form

Answers

Answer:

4/9

Step-by-step explanation:

Is 75% or 0.25 larger?

Answers

Answer:

Yes because technically a percent is a decimal.So if you were to put 75% it would be 0.75 and that is grater then 0.25.

Step-by-step explanation:

I hope that help please give me Brainiest.

2. Change the following statements into coordinate points and then plot them!
a. f(-1)= 1
b. f(2)= 7
c. f(1)=-1
d. f(3) = 0

Answers

Answer:

The points are (-1, 1), (2, 7), (1, -1), (3, 0)

Step-by-step explanation:

Let us solve the question

∵ f(x) = y

∴ The coordinates of the point are (x, y)

→ Let us use this fact to find the coordinates of each point

∵ f(-1) = 1

∴ x = -1 and y = 1

The coordinates of the point are (-1, 1)

∵ f(2) = 7

∴ x = 2 and y = 7

The coordinates of the point are (2, 7)

∵ f(1) = -1

∴ x = 1 and y = -1

The coordinates of the point are (1, -1)

∵ f(3) = 0

∴ x = 3 and y = 0

The coordinates of the point are (3, 0)

The graph is attached down

State the slope and y-intercept of the line with equation y = 9 + 7x

Answers

Answer:

The Y intercept is 9, and The Slope is 7x

Answer:

slope: 7 (or 7/1)

y int: 9

Step-by-step explanation:

Slope intercept formula is y=mx+b

(m) is slope

(b) is y intercept

so in

y=9+7x

we can flip the numbers around

y=7x+9

so 7 is our slope and 9 is the y intercept

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

One type of ladybug has 12 spots and 6 legs. What is the ratio of legs to spots?

Answers

Answer:

12:6 or simplified 2:1

Answer:

It would be 1:2

Step-by-step explanation:

since 6 is obviously half of 12, you would simlify it like a fraction

6:12 --> 1:2

9. Consider the function:
_3x² + 6x + 5
Find the vertex for the graph of the above equation and identify whether it 1 point
is a maximum or minimum. (Use Desmos)*
O (3,6). Maximum
O (-3, 6), Minimum
O (1,8): Maximum
O (1,8), Minimum

Answers

Answer:

Answer : d. minimum (-1,3)

The vertex form of quadratic function is

, where (h,k) is the vertex

To get vertex form we apply completing the square method

To apply completing the square method , there should be only x^2

So we factor out 5 from from first two terms

Now we take the number before x (coefficient of x) and divide by 2

=1

Now square it

Add and subtract 1 inside the parenthesis

Now we take out -1 by multiplying 5

Now we factor x^2 +2x+1 as (x+1)(x+1)

h=-1  and k=3

So vertex is (-1,3)

When the value of 'a' is negative , then it is a maximum

When the value of 'a' is positive , then it is a minimum

is in the form of  

The value of a is 5

5 is positive so it is a minimum

f(x) is minimum at point (-1,3)

Step-by-step explanation:

This equation shows how the total distance Warren has walked depends on the number of trips he has made to school d=t+3 The variable t represents the number of trips he has made, and the variable d represents the total distance walked in kilometers. How many trips will Warren have to make in all to walk a total of 12 kilometers?

Answers

Answer:

9 trips

Step-by-step explanation:

Given that :

Total Distance walked is dependent on the total number of trips made to school ;

d = t + 3 ;

d = total distance in kilometers ; t = number of trips made ;

Number of trips required to walk a total of 12 kilometers ;

d = 12

Putting d = 12 in the equation ;

12 = t + 3

12 - 3 = t

9 = t

Hence, Number of trips made = 9

The figure shows ST
intersecting plane A at point V. a right angle. Points P, R, and
Q also lie in the plane.
Which statements are true based on the figure? Select all that apply.

Answers

Answer:

A,B,E,F those the answer i have EOC review packet done

Step-by-step explanation:

Points, lines and planes are undefined terms in geometry.

The true statements are:

(c) V lies on line ST(d) ST is perpendicular to plane A(e) ST is perpendicular to RV

First, we test each option to determine the true and false options.

(a) S, V and U are collinear

Points that are collinear are on the same line

S, V and U are not collinear, because they are not on the same line.

Hence, (a) is false

(b) Q, S, T and U are coplanar

Points that are coplanar are on the same plane

Q, S, T and U are not coplanar, because they are not on the same plane.

Hence, (b) is false

(c) V lies on line ST

Point V is the point of intersection of line ST and plane A

This means that point V lies on line ST and plane A

Hence, (c) is true

(d) ST is perpendicular to plane A

Line ST intersects with plane A at point V at 90 degrees.

Perpendicular lines and planes meet at 90 degrees

Hence, (d) is true

(e) ST is perpendicular to RV

Because line ST intersects with plane A at point V at 90 degrees.

Any line drawn from point V would be perpendicular to line ST

Hence, (e) is true

(f) P, R and Q are collinear

Points that are collinear are on the same line

P, R and Q are not collinear, because they are not on the same line.

Hence, (f) is false

Read more about lines, planes and points at:

https://brainly.com/question/1887287

Simplify.
(83)7 = 8h
n =

Answers

[tex]\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\star[/tex]

[tex] { ({8}^{3}) }^{7} = {8}^{n} \\ \\ { 8 }^{21} = {8}^{n} \\ \\ n \: = \: 21[/tex]

Can anybody give me an answer to this ??

Answers

The correct answer is D
D is correct





-2 is y intercept and the -1/2 is the slope

x = if, 5x +4 = 3x + 6?

Answers

Answer:

X=1

Step-by-step explanation:

Answer:

X would equal 1

dan pays £714.73 a year on his car insurance
the insurance company reduces the price by 4.1%
how much does the insurance cost now?
give your answer rounded to 2DP

Answers

Answer:

Current insurance cost = [tex]685.43[/tex] $

Step-by-step explanation:

Given

Original Payment = £714.73Reduced Percentage = 4.1%

Reduced Amount = [tex]4.1\%\:\times\:714.73[/tex]

                              [tex]=\left(\frac{4.1}{100}\right)\left(714.73\right)[/tex]

                              [tex]=\frac{41\times \:714.73}{1000}[/tex]

                               [tex]=29.30[/tex] $

Current Insurance cost = [tex]714.73 - 29.30[/tex]

                                       = [tex]685.43[/tex] $

Thus,

Current insurance cost = [tex]685.43[/tex] $

Someone please tell me how to do this :/

Answers

Answer:

90

Step-by-step explanation:

Simplify the following expression.

322.5 × 0.23
A.
7.4175
B.
7.4405
C.
106.425
D.
74.175 what is the answer I'm very slow at math 6 grade

Answers

Answer:

74.175

Step-by-step explanation:

Given:

322.5 × 0.23

Simplify;

322.5 × 0.23

3,225/10 × 23/100

74,175/1,000

74.175

Option "D" is the correct answer.

-2x - 69 = -9x + 29

Answers

Answer:

x = 98 /7

= 14

Step-by-step explanation:

7x − 98 = 0

7(x − 14) = 0

Answer: x=14

Step-by-step explanation: Let's solve your equation step-by-step.

−2x−69=−9x+29

Step 1: Add 9x to both sides.

−2x−69+9x=−9x+29+9x

7x−69=29

Step 2: Add 69 to both sides.

7x−69+69=29+69

7x=98

Step 3: Divide both sides by 7.

7x/7=98/7

X=14

Hope this help

Which equation shows the relationship between the regular
price, the sale price,
and the discount?
sale price + discount = regular price
sale price - discount = regular price
regular price + discount = sale price
regular price + sale price = discount

Answers

Answer:

I'd say sale price + discount = regular price.

Which value of w makes 14 = 11+
6a true statement?
8
Choose 1 answer:
PLEASEEEE HELP

Answers

Answer:

I think D

Step-by-step explanation:

What is the slope of a line parallel to the line whose equation is 10x – 4y = 24.


Fully reduce your answer.

Answers

Answer:

The slope of the line is  ⁵/₂.

Step-by-step explanation:

Given;

equation of one of the parallel lines, 10x – 4y = 24.

let the slope of the parallel lines = m, since two parallel lines have equal slopes.

Then slope of the given equation which one of the parallel lines is calculated as;

10x – 4y = 24

4y = 10x - 24

divide through by "4'

[tex]\frac{4y}{4} = \frac{10x}{4} - \frac{24}{4} \\\\y = \frac{5x}{2} - 6[/tex]

the slope , m is the coefficient of x, = ⁵/₂ (when compared to y = mx + c)

Therefore, the slope of the line is  ⁵/₂.

ldentify the slope and intercept of the following linear equation.
y=1/5x-6

Answers

Answer:

The slope will be 1/5

Explanation:

The form in which this line is in y=mx+b
M will always be the slope and b will always be the y-intercept

what is the total surface area of the triangular prism shown?​

Answers

Answer:

Total surface area = 485.4594 in

Step-by-step explanation:

Triangles area:

[tex]a = \frac{bh}{2} \\ h = 9 \cos(45) \\ h = 9.363961 \\ a = \frac{15 \times 9.363961}{2} \\ a = 47.7297[/tex]

rectangles area:

[tex]a = 10 \times 12 \\ a = 120[/tex]

and

[tex]a = 15 \times 10 \\ a = 150[/tex]

Total surface area:

[tex]a = 2(47.7297) + 2(120) + 150 \\ a = 95.4594 + 240 + 150 \\ a = 485.4594[/tex]

Answer:

please mark me as brainliest thank you so much

You can work at most 24 hours per week at nurses aide. So far this week you work seven hours. If the remaining shifts for the week are each six hours long, how many possible full shifts can you work?

Answers

Answer:

2 possible full shifts

Step-by-step explanation:

Given

Total number of hours per week= 24hours

Number of hours worked so far= 7 hours

Number of hours remaining =24-7 = 17hours

If each shift remaining are 6hours long then

1shift = 6hrs

x = 17 hours

Cross multiply

6x = 17

x = 17/6

x = 2.83

Hence she can only work 2 possible full shifts

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