What is the x-value that solves the system 4x-y=21 and y=3x-7

Answers

Answer 1

Answer:

x=14

Step-by-step explanation:

4x-y=21

y=3x-7

Substitute the second equation in for y in the first

4x - (3x-7) = 21

Distribute the minus sign

4x -3x +7 = 21

x +7 = 21

Subtract 7 from each side

x+7-7=21-7

x=14

Answer 2

Answer:   x=14 is right answer

4x-y=21 =

Slope = 4

x-intercept = 21/4 = 5.25000

 y-intercept = 21/-1 = -21.00000

y=3x-7 =

 Slope = 6.000/2.000 = 3.000

 x-intercept = 7/3 = 2.33333

 y-intercept = -7/1 = -7.00000

Step-by-step explanation:

Step  1  :

Equation of a Straight Line

Graph of a Straight Line

Calculate the Y-Intercept

Calculate the X-Intercept

Calculate the Slope

Hope this helps.


Related Questions

a hexagon has 5 sides measured as 115 , find the sixth side

Answers

Answer:

31

Step-by-step explanation:

115 divided by 5 equals 31 and each side measures 31 so the 6th side measures 31

or

Angle sum of hexagon is 720 .

So,116*5(5 side are given)

=580

580+x=720        (x is the  sixth side of hexagon)

x=720-580

=140°

What’s the area of the shape ?

Answers

50.24 units ^2

A=pi r^2
A=3.14 8^2
A=3.14*64
A=200.96
BE CAREFUL, IT IS ONLY 1/4 OF THE CIRCLE.

A(1/4)= 50.24

Find the number if:
4.5% of it is 23% of 4

Answers

Answer:

20.4

Step-by-step explanation:

El resultado de las operaciones 5/3 + 17 / 51-14 / 21 es

Answers

Answer:

4/3

Step-by-step explanation:

encontrar el mínimo común denominadorienes para que sea mas facil

5/3+17/51-14/21 es 5/3 + 1/3 -2/3 cuando todos son igual de los denominados.

Ahora escribi todos los 3 numeros que iguale lo mismo denominador

5+1-2/3

Ahora solo hace el mas y menos y esta listo

4/3 es lo que pasa cuando haces las operaciones.

Caroline divides by 8, then adds 9 to get an answer of 12. What was the original number?

Answers

Answer:

Original number = 24

Step-by-step explanation:

Look at the picture

3 + 2x ≥ -4 solutions

Answers

Answer:

x  ≥ -7/2

Step-by-step explanation:

3 + 2x ≥ -4

Subtract 3 from each side

3-3 + 2x ≥ -4-3

2x ≥ -7

Divide each side by 2

2x/2  ≥ -7/2

x  ≥ -7/2

Steps to solve:

3 + 2x ≥ -4

~Subtract 3 to both sides

3 - 3 + 2x ≥ -4 - 3

~Simplify

2x ≥ -7

~Divide 2 to both sides

2x/2 ≥ -7/2

~Simplify

x ≥ -3.5

Best of Luck!

Circle P has a circumference of approximately 75 inches.
What is the approximate length of the radius, r? Use 3.14
for te. Round to the nearest inch.
12 inches
24 inches
38 inches
46 inches

Answers

Answer:

12 inches

Step-by-step explanation:

2(3.14)r=75

r = 11.94 ~ 12 inches

Answer:

The answer is A

Step-by-step explanation:

Solve for c.

–4c − 9 = –3c

c =

Answers

Look at the attached picture

Hope it will help you

Good luck on your assignment

I NEED HELP FAST
Which statement about the point (0, 5) is true?




It is on the origin.

It is in Quadrant I.

It is on the x-axis.

It is on the y-axis.

Answers

Answer:

(0,5) is on the y-axis

Step-by-step explanation:

Since the x value is 0, it is not left or right of (0,0), thus it does not leave the y-axis. Since its y-value Is 5, it goes up 5 units from (0,0) but still it does not leave the y-axis.

Answer:

it is on the y-axis

Step-by-step explanation:

2(q–8)< – 10 solve for q

Answers

Answer:

[tex] = q < 3[/tex]

Step-by-step explanation:

[tex]2(q - 8) < - 10 \\ 2q - 16 < - 10 \\ 2q < - 10 + 16 \\ 2q < 6 \\ \frac{2q}{2} < \frac{6}{2} \\ q < 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

A corporation produces packages of paper clips. the number of clips per package varies, as indicated below for a sample of 20 packages. 48 49 51 52 48 50 51 50 49 47 52 53 50 49 52 51 53 48 49 50 create a histogram. how many packages contain between 48 and 52 clips (inclusive) per package

Answers

Answer:

- The histogram of this distribution is presented in the attached image to this answer.

- The number of packages that contain between 48 and 52 clips (inclusive) per package = 17

Step-by-step explanation:

To create an histogram, we need to properly present the right solutions to angry mob.

The number of clubs per package is presented as thus

48 49 51 52 48 50 51 50 49 47 52 53 50 49 52 51 53 48 49 50

In an organized home, the data is reset to the number of clubs per passport and corresponding video is done

x | f

47 | 1

48 | 3

49 | 4

50 | 4

51 | 3

52 | 3

53 | 2

The histogram of this distribution is presented in the attached image to this answer.

-  The number of packages that contain between 48 and 52 clips (inclusive) per package

From the data table, it is evidently 3+4+4+3+3 = 17

Hope this Helps!!!

One of the altitudes of the parallelogram shown is the square root of 22.5. What is the other altitude?

Answers

Answer:

Step-by-step explanation:

A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:
a)
All three balls are the same color
c)
Two balls are yellow and one is blue
d)
All three balls are different colors

Answers

Answer:

a) 7/80 = 0.0875

b) 3/16 = 0.1875

c) 1/4 = 0.2500

Step-by-step explanation:

There are a total of 16 balls.  3 are selected.  There are ₁₆C₃ possible combinations.

a) If all 3 balls are the same color, they are either all yellow OR all blue OR all red.

The number of ways of choosing 3 yellow balls from 7 is ₇C₃.

The number of ways of choosing 3 blue balls from 5 is ₅C₃.

The number of ways of choosing 3 red balls from 4 is ₄C₃.

The total probability is:

P = (₇C₃ + ₅C₃ + ₄C₃) / ₁₆C₃

P = (35 + 10 + 4) / 560

P = 49 / 560

P = 7 / 80

P = 0.0875

b) The number of ways of choosing 2 yellow balls from 7 is ₇C₂.

The number of ways of choosing 1 blue ball from 5 is ₅C₁.

The probability of both is:

P = ₇C₂ ₅C₁ / ₁₆C₃

P = 21 × 5 / 560

P = 105 / 560

P = 3 / 16

P = 0.1875

c) If all 3 balls are different colors, then there is exactly 1 yellow, 1 blue, and 1 red.

The number of ways of choosing 1 yellow ball from 7 is ₇C₁.

The number of ways of choosing 1 blue ball from 5 is ₅C₁.

The number of ways of choosing 1 red ball from 4 is ₄C₁.

The probability of all events is:

P = ₇C₁ ₅C₁ ₄C₁ / ₁₆C₃

P = 7 × 5 × 4 / 560

P = 140 / 560

P = 1 / 4

P = 0.2500

Solve the equation 4x² +7x-2=0.​

Answers

Answer:

x+11.5

Step-by-step explanation:

4x² +7x-2=0

16x+7x-2=0

23x-2=0

      +2  +2

23x=2

23x/2

x= 11.5

I hope these help.

Name all factors of x3 – 3x2 – 10x.

Answers


The answer is: x(x-5)(x+2)
x(x^2-3x-10)
x(x-5)(x+2)

A bucket contains 10 balls numbered as follows: 1, 2, 2,3,3,3,3,4,4,5. A
single ball is randomly chosen from the bucket. What is the probability of
drawing a ball numbered 3?

Answers

Answer:

4/10 or 40%

Step-by-step explanation:

there are 4 balls with the number 3. 4 balls out of 10. 4/10.

Answer:

1000000000000000000000000000000000000000000000%

Step-by-step explanation:

idk I cant count sooooo....

Only 1/9 enrolled students in a school were absent. There were 4512 students present. How many students are enrolled in the school?

Answers

Answer:

5076.

Step-by-step explanation:

Let x be the number enrolled, then:

x - 1/9 x = 4512

8/9x = 4512

x = 4512 * 9/8

x = 5076.

Please solve this with an explanation. will mark as brainiest.

Answers

Answer:

[tex]236cm^2[/tex]

Step-by-step explanation:

[tex]A=2(wl+hl+hw)=2*(5*2+3*2+3*5)=62cm^2[/tex]

[tex]A=2(wl+hl+hw)=2*(3*5+3*5+3*3)=78cm^2[/tex]

[tex]A=2(wl+hl+hw)=2*(3*5+3*5+3*3)=78cm^2[/tex]

[tex]A=2(wl+hl+hw)=2*(3*3+3*3+3*3)=54cm^2[/tex]

[tex]62+78+78+54=272cm^2[/tex]

In this nuclear reaction equation, oxygen decays to form nitrogen. Which equation correctly describes
this decay?
O 150 N + e
o 150+ e TN
o 150 N+
o 150 → N+

Answers

Answer:

A. 150 N + e

Step-by-step explanation:

Im smart pls mark brainliest.

What is the measure of angle DBA?

Answers

Answer:

DBA =110 degree

Step-by-step explanation:

angle DBA is central angle

central angle = arc angle = 110 degree

Answer:110

Step-by-step explanation:

Brainliest question please help me now I need it now plz

Answers

AZ^2= 2^2 + 2^2 = 8
AP^2 = ZP^2 = 5^2 + 7^2 = 74
P^2of APZ = /8 + 74*2 =156
P= 12.489
Sorry Brainly is having issues loading this user’s answer.Try again later

Find the probability that a point in the figure chosen at random is in the
shaded kite. *Remember, the are of a kite is found by one half of diagonal
1 times diagonal 2. *
A)1/3
B)1/4
C)3/4
D)1/2

Answers

Answer:

Correct option: D) 1/2

Step-by-step explanation:

First we need to find the area of the kite and the area of the rectangle.

The diagonals of the kite are 16 and 12, as they are parallel to the sides of the rectangle.

So the area of the kite is A1 = (1/2) * 16 * 12 = 96

The area of the rectagle is the product of the sides, so A2 = 16 * 12 = 192

Now, to find the probability of a random point being inside the kite, we just need to divide the area of the kite by the area of the rectangle:

Probability = A1 / A2 = 96 / 192 = 1/2

Correct option: D)

Given the letters from the word: RESPONSIBILITY, what is the probability of choosing one letter and getting an "I"?

Answers

letter of i's/number of letters in the word

3/14

Express x^2-5x+8 in the form (x-a)^2+b

Answers

Answer:

x^2 - 5x + 8 = (x - 5/2)^2 + 7/4

Step-by-step explanation:

(x - a)^2 + b = x^2 - 2ax + a^2 + b

equate to your quadratic :

x^2 - 5x + 8 = x^2 - 2ax + (a^2 + b)

equating coefficients (ignoring x^2 as the coefficient is 1 for both)

for x :

-5 = -2a --> a = 5/2

for x^(0) : 8 = a^2 + b , note a = 5/2

thus,

8 = (5/2)^2 + b

8 = 25/4 + b

b = 8 - 25/4 = 32/4 - 25/4 = (32 - 25)/4 = 7/4

hence a = 5/2 , b = 7/4

thus,

x^2 - 5x + 8 = (x - 5/2)^2 + 7/4

What is 84/100 simplifyed

Answers

Answer:

0.84

Step-by-step explanation:

84/100=0.84

hope its right

Answer:

21/25

Step-by-step explanation:

84/100 divide by 4= 21/25

After solving a quadratic equation using the quadratic formula, what do the 2 solutions mean?

Answers

Answer:

those are your two answers

Step-by-step explanation:

I need help with this

Answers

Answer:

86 degrees

Step-by-step explanation:

Triangles add up to 180 degrees.

57 + 37 + x = 180

94 + x = 180

Subtract 94 from both sides.

x = 86

6 x - 16.7 equals what please help

Answers

Answer:

- 100.2

Step-by-step explanation:

6 x(-16.7)

6 x [tex]\frac{-167}{10}[/tex]

6 x(-167) = - 1002

-1002/10 = - 100.2

The two prisms below are similar. What is the value of x?
30
A. 3
B. 9
C. 1
D. 30
SUBMIT

Answers

i think its D. 30 :)

What is the equation in slope intercept form of the line that has a slope of -3 and passes through the point (0,5)

Answers

y=-3x+5

Since the slope is -3, you write -3x since x labels the slope. The point is on the y axis giving us the y intercept which is 5.
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