This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?

This Table Gives A Few (x, Y) Pairs Of A Line In The Coordinate Plane. What Is The X-intercept Of The

Answers

Answer 1

Answer:

x=-14

Step-by-step explanation:

The x-intercept of a line is the value of x that makes y=0.

A line can be expressed in its slope-intercept form:

y=mx+b

Once determined the equation of the line, the x-intercept can be calculated by setting y=0 and solving for x.

Let's find the slope of the line.

Suppose we know the line passes through two points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let's pick the first two points of the table (-94,24) (-74,18). The slope is:

[tex]\displaystyle m=\frac{18-24}{-74+94}=\frac{-6}{20}=-\frac{3}{10}[/tex]

The equation of the line is:

[tex]\displaystyle y=-\frac{3}{10}x+b[/tex]

Now use one of the points to find b, for example (-94,24):

[tex]\displaystyle 24=-\frac{3}{10}\cdot (-94)+b[/tex]

Operating:

[tex]\displaystyle 24=\frac{141}{5}+b[/tex]

Solving:

[tex]b=24-\frac{141}{5}=-\frac{21}{5}[/tex]

The complete equation of the line is:

[tex]\displaystyle y=-\frac{3}{10}x-\frac{21}{5}[/tex]

To find the x-incercept, set y=0 and solve:

[tex]\displaystyle 0=-\frac{3}{10}x-\frac{21}{5}[/tex]

[tex]\displaystyle x=\frac{\frac{21}{5}}{-\frac{3}{10}}=-\frac{21}{5}\cdot \frac{10}{3}[/tex]

x=-14


Related Questions

Write each mixed number as an improper fractions 4 2/7

Answers

Answer:

30/7 is the answer yw

Step-by-step explanation:

Factorise 4x^2+28x^3

Answers


Answer 4x^2 (7x+1)
Hope it helps!!!

Mary Jo takes her son to get a haircut at the barbershop. The total cost of the haircut is $12.60, including a 20% tip. How much was the haircut before the tip?

Answers

Based on the total cost of the haircut with the tip included, the cost of the haircut before the tip was $10.50

How to find the cost of the haircut?

The cost of the haircut give of $12.60 is merely the cost of the haircut including the 20% tip.

To find the cost of the haircut before the tip was included, assume that it is x. The relevant expression would then be:

Total cost including tip = x × (1 + tip percentage)

Solving for the haircut cost before the tip gives:

12.60 = x ( 1 + 20%)

12.60 = 1.20x

x = 12.60 / 1.20

x = $10.50

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Negative seven is less than negative six.
True or False

Answers

Answer:

true

Step-by-step explanation:

negatives keep getting smaller and smaller

Answer:

false

Step-by-step explanation:

negative 6 is bigger because its closer to a whole number (integer which is bigger) so it has more value

Four friends went to the movies.

Each person bought a movie ticket, and the total the four friends spent on the tickets was $52.
Which equation can be used to find the cost of each tickets

A) 4+x=52
B) x - 4= 52
C) 4x=52
D)x/4=52

Answers

The answer to the question would be Option C. 4x=52

The equation that can be used to find the cost of each ticket is 4x = 52.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 6 is an equation.

We have,

Number of people who bought the tickets = 4

The total cost of tickets = $52

Now,

The cost of each ticket.

= 52 ÷ 4

= 13

Now,

Cost of one ticket = x

4x = 52

x = 52/4 = 13

Thus.

The cost of each ticket is $13.

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The cost of 4 golf balls is $10. How much would it cost for 20 golf balls?

Answers

Answer:

50$

Step-by-step explanation:

4*5=20

it would be 50$ for 20 golf balls
4 golf balls for 10$ and
4x5=20
so 10$x5= 50$
The answer is 50$

6/15 * 1/2 =

Help please

Answers

The answer is 0.2 because you multiply
6/15 * 1/2 = 1/5

Reduce the numbers with the greatest common factor *cross cross* ex. 6 divided by 2 go into each other which =3
3/15 go into 3(5) 3divided by 3 = 1 15/3=5
= 1/5

B.6-(5x-9)2 for x=1

Answers

Answer:

14

Step-by-step explanation:

Step 1:

6 - ( 5x - 9 ) 2       Equation

Step 2:

6 - ( 5 ( 1 ) - 9 ) 2     Input x

Step 3:

6 - ( 5 - 9 ) 2      Multiply

Step 4:

6 - ( - 4 ) 2        Subtract

Step 5:

6 - ( - 8 )      Multiply

Answer:

14        Add

Hope This Helps :)

Answer:

14

Step-by-step explanation:

1) 6-(5[1]-9)2

2) 6-(5-9)2

3) 6-(10-18)

4) 6-(-8)

5) 14

A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand. Identify the type I error for the test.
A. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
B. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
C. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
D. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually greater than 2 in a thousand.

Answers

Answer:

The correct option is (B).

Step-by-step explanation:

A type-I-error occurs when we discard a true null-hypothesis (H₀).

The hypothesis in this case are:

H₀: The proportion of Americans that have seen a UFO is 0.002, i.e. p = 0.002.

Hₐ: The proportion of Americans that have seen a UFO is less than 0.002, i.e. p < 0.002.

A type I error will be committed, if we reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.

The correct option is (B).

If [tex]\sf x^{(x^4)} = 4,[/tex] then find the value of [tex]\sf x^{(x^2)} + x^{(x^8)}.[/tex]​

Answers

By inspection, we can see that x = ±√2, since (±√2)⁴ = 2² = 4.

In particular, if [tex]x^n=n[/tex], which means [tex]x=n^{\frac1n}[/tex], then [tex]x^{x^n}=x^n=n[/tex].

Let x = √2. Then

[tex]x^{x^2}+x^{x^8}=(\sqrt2)^{(\sqrt2)^2}+(\sqrt2)^{(\sqrt2)^8}[/tex]

[tex]x^{x^2}+x^{x^8}=(\sqrt2)^2+(\sqrt2)^{16}[/tex]

[tex]x^{x^2}+x^{x^8}=2+256[/tex]

[tex]x^{x^2}+x^{x^8}=\boxed{258}[/tex]

Help please I’m stuck on a few of these

Answers

Answer:

27

Step-by-step explanation:

Basically how it works is that the second f() shows an x where the 3 is, so you plug 3 in for x into the equation. 3 squared or 3 to the power of 2 is 9 because 3 x 3 = 9, and 9 times 3 is 27.

Hope this helps!

INVERSE FUNCTIONS

If the f has a power of -1, then it means the inverse, or the opposite of the function, so you can either switch the y and x values in the function, as the f(x) is also used to represent y, while x is x. You can switch the function to x=3y^2.

BUT THIS IS ONLY FOR INVERSE FUNCTIONS OVER AND UP.

An elevator steadily descends 500 feet in 20 seconds. How would you express the change in the​ elevator's height per​ second?

Answers

Answer:

The elevator goes 25 feet per second.

Step-by-step explanation:

The elevator goes 500 feet every 20 seconds so to find how hogh it gets to in 1 second, you have to use the equation 500 divided by 20 to get 25.

Hope this helps idk if it will tho.

Solve for x
5x – 2(x+1)= 1/4
Enter your answer as a fraction in simplest form in the box.
X =
Basic

Answers

Answer:

x = 3/4

Step-by-step explanation:

Step 1: Write equation

5x - 2(x + 1) = 1/4

Step 2: Solve for x

Distribute -2: 5x - 2x - 2 = 1/4Combine like terms: 3x - 2 = 1/4Add 2 to both sides: 3x = 9/4Divide both sides by 3: x = 3/4

Step 3: Check

Plug in x to verify it's a solution.

5(3/4) - 2(3/4 + 1) = 1/4

15/4 - 2(7/4) = 1/4

15/4 - 14/4 = 1/4

1/4 = 1/4

Please help
For the sequence 12,8,4...
write the explicit rule..
Find the 100th term...
Is this a function or relation? Why?

Answers

Answer: ion evn kno cuh

Step-by-step explanation:

Answer:

This is arithmetic sequence and the common difference is equal to -4.

Step-by-step explanation:

If yuh just want the answer here, not explained

8-3 is even or odd ammmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Answers

Answer:

ummmm... odd

Step-by-step explanation:

Odd

Because if you try to multiply it would be it nothing would be equal to 8


[tex]0.008 \div 0.62[/tex]
help me solve this ploblem​

Answers

The answer is 0.01290323

Tyler then takes his remaining paper and does it again. He cuts the paper to create four equal pieces, then hands one piece each to the others and keeps one for himself. What fraction of the original piece of paper does each person have now?

Answers

Answer:

Each person has 1/4 of a peice of paper

Step-by-step explanation:  Tyler cut the peices of paper in 4 equal pieces and if he gave himself and another person one peice then they would each of 1/4 of a peice of paper

Preview Activity 2.4.1. Consider the function f ( x ) = tan ( x ) , and remember that tan ( x ) = sin ( x ) cos ( x ) . What is the domain of f ? Use the quotient rule to show that one expression for f ′ ( x ) is f ′ ( x ) = cos ( x ) cos ( x ) + sin ( x ) sin ( x ) cos 2 ( x ) . What is the Fundamental Trigonometric Identity? How can this identity be used to find a simpler form for f ′ ( x ) ? Recall that sec ( x ) = 1 cos ( x ) . How can we express f ′ ( x ) in terms of the secant function? For what values of x is f ′ ( x ) defined? How does this set compare to the domain of f ?

Answers

Answer:

Step-by-step explanation:

Given the function f(x) = tan (x)

From trigonometry identity, tan (x) = sin(x)/cos(x)

f(x) = sin(x)/cos(x)

Using the quotient rule to find the derivative of the function, we will have;

f'(x) = cos (x)cos (x) - sin (x)[-sin (x)]/ cos²x

f'(x) = cos²x - sin²x/ cos²x

Divide through by cos²x

f'(x) = cos²x/cos²x + sin²x/cos²x / cos²x/cos²x

f'(x) = 1 + sin²x/cos²x / 1

f'(x) = 1 + (sin²x/cos²x)

f'(x) = 1 + tan²x

From trig identity,  1 + tan²x = sec²x

Hence, f'(x) = sec²x

Hence the expression  f'(x)  in terms of the secant function is sec²x

f'(x) = 1/cos²x

For the function to be defined, it means that cos²x ≠ 0

cos²x ≠ 0

cos x ≠ 0

x ≠ cos⁻¹0

x ≠ 90⁰

Hence the value of x must not be equal to 90 for the function to be defined. x can be defined at when x = 0 since cos 0 = 1, the equation will  becomes f'(0) = 1/cos²0 = 1/1 = 1.

Hence the function is defined at 0≤x<90

jake went on a road trip with his family this summer. On Monday, they drove 629 miles. Tuesday, they drove 215 miles. On Wednesday, they drove 111 miles. And, on Thursday, they drove 588 miles. what is the total number of miles that Jake's family traveled​

Answers

Jake’s family traveled a total of 1,543 miles

Zach's baseball team is raising money for a charity. Zach is tasked with raising at least $250. If represents the amount of money Zach raises, which inequality represents this situation?

a. x>250

b. x<_250

c. x>_250

d. x<250

Answers

Answer: x ≥ 250

Step-by-step explanation:

Can someone help me please

Answers

Answer:

reghfjkvbnerfnhdbetuigkjoghbnurhjeuiogwr4th

Step-by-step explanation:

1. What is the slope of the following equation? *
y= 3x - 3
A m=2
B m=1/2
Cm=3
Dm=-3

Answers

the answer is m=3
y=3x-3
y-3x=-3
-3x+y=-3
answer : 3x-y=3

3. f(x) = x2 + 4x - 2

Answers

Answer:

f(x)= -(x-2)^2+2

Step-by-step explanation:

the same valuve needs the be added to both sides

f(x)+?= -x^2+4x+?-2

to complete the square -x^2+4x-4= -(x-2)^2 add the -4 to the expression

f(x)+?= -x^2+4x-4-2

since -4 was added to the right side, also add -4 the the left side

f(x)-4= -x^2+4x+?-2

now factor out the negative sign from the expression

f(x)-4= -(x^2-4x+4)-2

using a^2-ab+b^2=(a-b)^2

f(x)-4= -(x-2)^2-2

move the constant the the right side and change its sign

f(x)= -(x-2)^2-2+4

now calculate the sum

f(x)= -(x-2)^2+2

what is 69 to the power of 69

Answers

Answer:

goobaaaaa

Step-by-step explanation:

Answer:

7.59604031⋅10 to the power 126

Step-by-step explanation:

Help with this plz plz ASAP

Answers

Answer:
The answer is B

Hewo can anyone help

Answers

Answer:

Hewo can anyone help

Step-by-step explanation:

I would go with the last option,it looks like it makes sense.

Hope that helped,I have snap if you need anything else :)

Answer:

The last one

Step-by-step explanation:

Given m||n, find the value of x.
t
>m
(7x-1)
(9x+5)

Answers

Answer:

Step-by-step explanation:

-13m-or+t m(484m+63t)/63m

PLEASE HELP ME IM BEING TIMEDD

Answers

Answer: There are 7 possible arrangments

Step-by-step explanation:

If you try to break down 150 you'll find that  you'll be able to divide/ multiply it by 10,15,2,3,12,5,50

WILL GIVE BRAINLIEST!! Which graph shows a slope of 2 and a y-intercept of -2?

Answers

Second one. No problem it

Answer:

The second graph  (where the line goes through the points -2 and 1)

Step-by-step explanation:

A y-intercept is where the line crosses the y axis. The line crosses the y-axis at -2.

Slope is the change in y over the change in x. From -2 to 1, the change in y is 2, it goes up 2, and the change in x is 1 because it goes up 1. Therefore the slope is 2/1 which can be simplified to 2.

A line passes through the points (3, -2) and (5, 2). Which is the equation of the line?

a
y = negative one-half x + 1

b
y = one-half x + 7

c
y = 2x + 6

d
y = 2x – 8

Answers

Option D : y= 2x-8 is the line passing through the given points

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