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Natali [406]
3 years ago
11

Wjat are the x intercepts if y=x squared minus 100​

Mathematics
1 answer:
Effectus [21]3 years ago
3 0

Answer:

x = ± 10

Step-by-step explanation:

Given

y = x² - 100 ← a difference of squares , that is

y = x² - 10² = (x - 10)(x + 10)

To find the x- intercepts let y = 0 , that is

(x - 10)(x + 10) = 0

Equate each factor to zero and solve for x

x - 10 = 0 ⇒ x = 10

x + 10 = 0 ⇒ x = - 10

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Solve for x in both!!!!!
zvonat [6]

Answer:

- 2(x - 2) - 4x = 3(x + 1) - 9x \\  - 2x + 4 - 4x = 3x + 3 - 9x \\ 9x - 3x - 2x - 4x = 3 - 4 \\ 9x - 9x =  - 1 \\ 0x =  - 1 \\ 0 =  - 1

So ; No solution

___o___o____

5(x + 2) - 3 = 3x - 8x + 7 \\ 5x + 10 - 3 =  - 5x + 7 \\ 5x + 7 =  - 5x + 7 \\ 5x + 5x = 7 - 7 \\ 10x = 0 \\  \\ x =  \frac{0}{10}  \\  \\ x = 0

I hope I helped you^_^

4 0
3 years ago
Read 2 more answers
Find f ( - 3 ) for the function below.<br><br> { ( - 3, 2 ), ( - 1, 0 ), ( 1, 1 ), ( 3, - 3 ) }
Juli2301 [7.4K]

Answer:

Step-by-step explanation:

Question

Comment

The f(x) notation means that were ever you see n x on the right you put the value of x.  

The question is which point has x = - 3 and what is the associated y value?

You could do it this way, just so you understand it.

<h2>X                        Y</h2>

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

-3                                      2       <======

-1                                       0

1                                         1

3                                        -3

The answer must be the first one

6 0
2 years ago
Cody was 165\,\text{cm}165cm tall on the first day of school this year, which was 10\%10% taller than he was on the first day of
Doss [256]

Answer:

165 cm.

Step-by-step explanation:

Let h be the height of Cody on the first day of school last year.

We have been given that Cody was 165 cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

To find the height of Cody on the first day of school last year, we need to find h such that h plus 10% of h equals 165. We can represent this information in an equation as:

h+10\%\text{ of }h=165

h+(\frac{10}{100}*h)=165

h+0.10*h=165

1.10*h=165

Let us divide both sides of our equation by 1.10.

\frac{1.10*h}{1.10}=\frac{165}{1.10}

h=150

Therefore, Cody was 150 cm tall on the first day of school last year.

5 0
4 years ago
The distance between two cities is 180km. The distance was covered by a car at the rate of 50km/h, by a bus 45km/h, by a truck a
Gennadij [26K]

Answer:

The speed and time are directly proportional in that the higher the speed the lesser the time and vice versa.

The constant is the total distance which is 180 km

Step-by-step explanation:

Step one:

given data

The distance between the  two cities is 180km

1.The distance was covered by a car at the rate of 50km/h

The time taken will be

velocity= distance/time

time= distance/velocity

time= 180/50

time= 3.6 hours

2.The distance was covered by a bus 45km/h

The time taken will be

velocity= distance/time

time= distance/velocity

time= 180/45

time= 4 hours

3.The distance was covered by a bicycle at 25km/h

The time taken will be

velocity= distance/time

time= distance/velocity

time= 180/25

time= 7.2 hours

7 0
3 years ago
Could somebody help me with this please?
katrin [286]

Answer:

1) x ≅ 51.34°

2) y ≅ 38.66°

Step-by-step explanation:

In the right triangle given in the figure

∵ The triangle has a right angle

∴ Angles x and y are acute angles and the sum of their measures is 90°

→ By using the trigonometry function tan

∵ tan(x) = opposite side to x/adjacent side to x

∵ The opposite side to x = 10

∵ The adjacent side to x = 8

→ Substitute them in the rule above

∴ tan(x) = \frac{10}{8} = \frac{5}{4}

→ Use the inverse of tan to find x

∵ x = tan^{-1}(\frac{5}{4})

∴ x = 51.34019175

∴ x ≅ 51.34°

∵ x + y = 90°

∴ 51.34 + y = 90

→ Subtract 51.34 from both sides

∴ y ≅ 38.66°

8 0
3 years ago
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