Which systems of equations intersect at point A in this graph?

Which Systems Of Equations Intersect At Point A In This Graph?

Answers

Answer 1

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Thus, the second option is correct.

Step-by-step explanation:

Given the point

A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Arrange equation variable for elimination

[tex]\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}[/tex]

so

[tex]y+3x=-5[/tex]

[tex]-[/tex]

[tex]\underline{y-4x=9}[/tex]

[tex]7x=-14[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}[/tex]

Solve 7x = -14 for x

[tex]7x=-14[/tex]

Divide both sides by 7

[tex]\frac{7x}{7}=\frac{-14}{7}[/tex]

Simplify

[tex]x = -2[/tex]

For y - 4x = 9 plug in x = 2

[tex]y-4\left(-2\right)=9[/tex]

[tex]y+4\cdot \:2=9[/tex]

[tex]y+8=9[/tex]

Subtract 8 from both sides

[tex]y+8-8=9-8[/tex]

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Thus, the second option is correct.

Which Systems Of Equations Intersect At Point A In This Graph?

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Find each function value 1. f(2) if f(x) = x + 4

Answers

Answer:

The function value would be 6

Step-by-step explanation:

If f(2) then....

f(x) = x + 4

f(2) = 2 + 4

f(2) = 6

f(2) in f(x)=x+4

f(2)=2+4

f(2)=6

15.
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist heading north is riding 4 km/hour faster than the bicyclist heading south. At 10:15, they are 40 km apart. Find the two bicyclists’ rates.

northbound bicyclist = 19 km/h; southbound bicyclist = 15 km/h

northbound bicyclist = 18 km/h; southbound bicyclist = 14 km/h

northbound bicyclist = 18 km/h; southbound bicyclist = 13 km/h

northbound bicyclist = 16 km/h; southbound bicyclist = 10 km/h

Answers

Answer:

In 1.25 hours, their combined speed is 40 km, so their speed per hour is 32 km/h

So the answer is B. northbound bicyclist = 18 km/h

southbound bicyclist = 14 km/h

Step-by-step explanation:

the speed of the slower is x and the faster x+4 km/h

that equals 32 km and the speed of the slower is 14 km/hr and the faster 18 km/hr.

in 1h15m the slower goes 17.5 km and the faster 22.5 km

Answer:northbound bicyclist = 18 km/h; southbound bicyclist = 11 km/h

Please first person to answer question will be marked as branliest and will be given 5 likes
Please I beg u all

Answers

Answer:

A.) x=-3

B.) I have no clue I'm sorry I haven't learned anything over square method

Step-by-step explanation:

Match each expression with its value.

15 ÷12

12 ÷ (-15)

12 ÷ 15

15 ÷ (-12)

-0.8
0.8
-1.25
1.25

Answers

1. 1.25
2. -0.8
3. 0.8
4.-1.25
1. | 1.25
3. | 0.8
4. | -1.25
2. | -0.8

Help pleasee!!!!!!!!

Answers

Answer:

5

Step-by-step explanation:

40/8 is 5 and that is my explanation

the length of the hypotenus of a certain right triangle is 50 inches and the length of its legs is 40 inches . what is the length in inches of the other leg of the triangle

Answers

Answer:

The length of the other leg of the triangle is 30 inches.

Step-by-step explanation:

Pythagorean: a^2+b^2=c^2

50=hypotenuse

50^2-40^2=missing leg

50^2=2500

40^2=1600

50^2-40^2=900

[tex]\sqrt{900}[/tex]=30

30 is missing leg

The length of the other leg of the triangle is; 30 inches.

What is the right triangle?

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We have been given that the length of the hypotenuse of a certain right triangle is 50 inches and the length of its legs is 40 inches.

Using Pythagorean:

[tex]a^2+b^2=c^2[/tex]

50 = hypotenuse

Let the missing length is x.

x² = 50^2-40^2

x² = 2500 - 1600

x²  = 900

x =30

Hence, the length in inches of the other leg of the triangle is 30.

Learn more about a right angle;

https://brainly.com/question/7116550

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CAN SOMEONE PLEASE HELP ME???

Answers

Answer:

m=2

Step-by-step explanation:

slope is the average rate of change in a specific interval

we can calculate slope in this case with Δy/Δx or (y2-y1)/(x2-x1)

m=(y2-y1)/(x2-x1)

=(-1-7)/(-3-1)

=-8/-4

=2

Find the selling price.

Cost to store: $140

Markup: 25%

The selling price is $

Find the selling price.

Cost to store: $80

Markup: 60%

The selling price is $

Find the selling price.

Cost to store: $50

Markup: 10%

The selling price is $

Answers

Answer:

1.$175

2.$128

3.$55

Step-by-step explanation:

1.

40×.25=35

140+35=175

2.

80×.6=48

80+48=128

3.

50×.1=5

50+5=55

Answer:

1 87.5

2 49.7

3 0.79

4 700

5 4.8825

6 24

7 10

explanation:

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Carlos lives 5 3/8 blocks from a restaurant. The ball field is 7 1 /4 blocks away in the same direction. Carlos plans to go to the restaurant to​ eat, and then go to the ball field. After he​ eats, how much farther will he have to walk to get to the ball field​?

Answers

Answer:

[tex]\dfrac{15}{8}=1\dfrac{7}{8}\ \text{blocks}[/tex]

Step-by-step explanation:

Distance to the restaurant from Carlos is [tex]5\dfrac{3}{8}=\dfrac{43}{8}\ \text{blocks}[/tex]

Distance of the ball field from Carlos' home is [tex]7\dfrac{1}{4}=\dfrac{29}{4}\ \text{blocks}[/tex]

He first goes to the restaurant so he covers a distance of [tex]\dfrac{43}{8}\ \text{blocks}[/tex].

Now the distance from the restaurant to the ball field is

[tex]\dfrac{29}{4}-\dfrac{43}{8}\\ =\dfrac{58-43}{8}\\ =\dfrac{15}{8}=1\dfrac{7}{8}\ \text{blocks}[/tex].

So, Carlos would have to walk [tex]1\dfrac{7}{8}\ \text{blocks}[/tex] farther to get to the ball field.

If f(x) = 3x-2, find f(8) - f(5)

Answers

Answer:

9

Step-by-step explanation:

f(8)=3(8)-2=22

f(5)=3(5)-2=13

22-13=9

Answer:

f(8) - f(5) = 9

Step-by-step explanation:

So our function is:

f(x) = 3x - 2

Therefore, f(8) becomes:

f(8) = 3(8) - 2 = 24 - 2 = 22

And f(5) is:

f(5) = 3(5) - 2 = 15 - 2 = 13

Finaly, f(8) - f(5) is therefore:

22 - 13 = 9

So f(8) - f(5) = 9

Hope this helps!

please help me please will give brainliest to ​

Answers

Answer:

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. polynomials with real coefficients are included in this since every real number is a complex number with its imaginary part equal to zero.

Can I please get brainliest?

Answer:

It is non-constant variable polynomial with in depth coefficients and an in depth root.

Step-by-step explanation:

Anyone know the answer?!

Answers

Answer:

B

Step-by-step explanation:

the third and fourth ones

There are 56 passengers on a plane. Five out of every eight passengers are
carrying a suitcase. How many passengers are carrying a suitcase?
(equivalent ratios)

A) 35 B) 30 C) 16 D) 17

please show how

Answers

Answer:

Answer: 35

Step-by-step explanation:

five out  of every eight are carrying suitcases, so muiltiply  5/8 times 56 to get 35

WILL GIVE BRAINLIEST
A cylinder has a total area of 3.41946cm2 and a diameter of 0.66cm. What is its height?
pls make it easy for me to understand!!

Answers

Answer:

1.32cm

Step-by-step explanation:

Step-by-step explanation:

I'm assuming you are saying volume?

But I'll do both volume and surface area.

also note that 0.66 is the diameter, not radius

If 3.41946 is the volume:

V of cylinder = pi*r^2*h

3.41946 = pi*0.33^2*h

h = 3.41946/(pi*0.33^2) = 9.99493043 cm

If 3.41946 is the surface area:

SA of cylinder = pi*r*(r+h)

3.41946 = pi*0.33*(0.33+h)

0.33+h = 3.41946/(pi*0.33) = 3.29832704

h = 3.29832704-0.33 = 2.96832704 cm

Is x=|y| with inputs x=1, x=2, and x=3 a function? Explain

Answers

Answer: This is not a function

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

Explanation:

If x = 1, then,

x = |y|

1 = |y|

|y| = 1

y = plus/minus 1

y = 1 or y = -1

The input x = 1 leads to more than one output y = 1 and y = -1 at the same time.

Similar situations occur with x = 2 and x = 3.

This means we do not have a function. A function can only be possible if each input leads to exactly one output.

There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?

Answers

Answer:

The ratio of number of purple beads to the number of pink beads is: 15:31

Step-by-step explanation:

Number of pink beads = 31

Number of Purple beads = 15

We need to find ratio of number of purple beads to the number of pink beads

So, The ratio of number of purple beads to the number of pink beads is:

Number of purple beads : Number of pink beads

15 : 31

Since it cannot be simplified further, So

The ratio of number of purple beads to the number of pink beads is: 15:31

Write 0.721 as a fraction. Show your work.

Answers

Step-by-step explanation:

721/100

It is correct answer

It would be 721/1000
(If you want me to explain I can)

Hope this helps

Have a great day/night

Harry is reading a book that is 597 pages long. He tells a friend that he is about 2/3 of the way done. About how many more pages must Harry read before he finishes the book?

Answers

Answer:

This reading habit has helped me finish 7 books in 10 weeks. ... reports he had brought with him and said, “Read 500 pages like this every day. ... You simply have to make time to read.

A Ik for sue that the answer is 199

A sweater that costs $32 is being marked down 30%. What is the new price of sweater?

Answers

Answer: try thease to see if they help !

Step-by-step explanation:

Take the pre-sale price.

Divide the original price by 100 and multiply it by 30.

Take this new number away from the original one.

The new number is your discounted value.

 thanks for the help but I need this answer please!!!

Answers

Answer:60 degrees

Step-by-step explanation:

Your other angle is 120 - a straight line has angles must add up to 180. 180-120=60 degrees

another one of these, god help me

Answers

Answer:

24x+48

Step-by-step explanation:

(3x+6)(8)

=8(3x+6)

=(8*3x)+(8*6)

=24x+48

Answer: 24x + 48

Step-by-step explanation:

The formula to find the are of a rectangle is A=LW. A being the total area, W being the width, or the value on the bottom (8), and L being length how tall the object is (3x+6).

First you must replace L and W, for their given values.

A= (L) (W)

A= (3x+6) (8)

Then, simply simplify by multiplying 3x+6 by 8

You would end up getting 24x + 48

Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges This was 1350 g more than the weight of bananas bridges what was the way of the bananas Antonio purchased in grams

Answers

Answer: 3600 grams

Step-by-step explanation:

A dekagram means 10 grams.

1 kilogram = 1000 grams

Therefore the total number of grams when Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges will be:

= (1.8 × 1000) + (315 × 10)

= 1800 + 3150

= 4950 grams

Since this was 1350g more than the weight of bananas, the weight of the bananas Antonio purchased in grams will be:

= 4950 - 1350

= 3600 grams

pls help me i don't get it and nobody answered

Answers

Answer: 1,200

Step-by-step explanation:

lets split it like this first

now lets start with the first one 15*20=300

now the second one 45*10=450

now the third one 35*10=350

now the last one 10*10 i think i caint see the one number=100

now add all them together= 1,200

hope this helped

Myra reads 8 pages of her book. If this is 25% of her book. How many pages does she have left to read?

Answers

5 pages left in her book

What is the Circumference of a circle with a radius of 15mm? There are no choices​

Answers

Answer:

90

Step-by-step explanation:

Is the equation 72 ÷ 6 = 64 ÷ 4 true or false? (2 points)
True
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

72/6=12

64/4=16

Pls help due ASAP....
Pls show workings.

Answers

Answer:

We can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:

d = 8.06 miles

Step-by-step explanation:

From the coordinate plane, we can clearly identify that:

Sandy's Hotel is located at the point (-8, 9)Trader Joes' Store is located at the point (-4, 2)

The distance from Sandy's Hotel to Trader Joes' Store can be calculated such as:

[tex]d=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

The distance between (-8, 9) and (-4, 2)

[tex]d=\sqrt{\left(-4-\left(-8\right)\right)^2+\left(2-9\right)^2}[/tex]

  [tex]=\sqrt{\left(-4+8\right)^2+\left(2-9\right)^2}[/tex]

  [tex]=\sqrt{4^2+7^2}[/tex]  

   [tex]=\sqrt{16+49}[/tex]

    [tex]=\sqrt{65}[/tex]

    [tex]=8.06[/tex] miles

Therefore, we can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:

d = 8.06 miles

You want to estimate how many fish there are in a pond. Suppose you cature 140 fish, tag them, and throw them back into the pond. After a couple of days, you go back to the pond and capture 420 fish, of which 28 are tagged.

Answers

Answer:

2,100

Step-by-step explanation:

Calculation to Estimate the number of fish in the pond.

Estimated Number of fish=420 fish*140 fish/28

Estimated Number of fish=58,800/28

Estimated Number of fish=2,100

Therefore the Estimated number of fish in the pond will be 2,100

The total number of fish in the pond is 2100

Let y represent the total fish in the pond.

Data obtained from the question Tagged fish in pond = 140Captured fish = 420Captured tagged fish = 28Total fish = y =?

The estimated fish in pond can be obtained as follow:

Tagged in pond / Total in pond = captured tagged fish / Captured fish

140 / y = 28 / 420

Cross multiply

y × 28 = 140 × 420

y × 28 = 58800

Divide both side by 28

y = 58800 / 28

y = 2100

Thus, the estimated fish in the pond is 2100

Learn more about estimation:

https://brainly.com/question/9583992

Find the value of f (-2)

Answers

Answer:

f(-2)=-5

Step-by-step explanation:

i think of the line -5

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