Graph the linear equation x=-1

[tex]y = a {(x - h)}^{2} + k[/tex]

where a-term determines the shape of graph.

h-term determines the change of graph for x-axis.

k-term determines the change of graph for y-axis.

Vertex of the graph is at (h,k).

[tex]y = a {(x - 7)}^{2} + 2[/tex]

We need to find the value of a-term. We have the given root which we can substitute in the equation.

Also the roots are on x-axis, meaning that the y-value for roots must be 0.

[tex]0 =a {(5 - 7)}^{2} + 2 \\ 0 =a {( - 2)} ^{2} + 2 \\ 0 = 4a + 2[/tex]

[tex]4a + 2 = 0 \\ 4a = - 2 \\ a = \frac{ - 2}{4} \\ a = - \frac{1}{2} [/tex]

Therefore the value of a is - 1/2. Rewrite the equation as we get the answer.

[tex] \large \boxed{y = - \frac{1}{2} {(x - 7)}^{2} + 2}[/tex]

Answer:

yes

Step-by-step explanation:

IBISHbPFIHBPFIHBFP

Yes

Answer:

73 is a prime number

Step-by-step explanation:

i looked it up

Answer:

6.2

Step-by-step explanation:

ahmm recommend answer lang

Answer:

6.8

Step-by-step explanation:

hope this helped! :)

Answer:

11.2 $

Step-by-step explanation:

5 pounds = 56$

1 pound = x

by cross multiplication

5x pounds = 56$

dividing both sides by 5

x= 11.2 $

Answer:

in money form it would be $11.20

Step-by-step explanation:

Answer:

You will pay $35

Step-by-step explanation:

You will pay $35 for a item with original price of $50 when discounted 30%. In this example, if you buy an item at $50 with 30% discount, you will pay 50 - 15 = 35 dollars.

Answer:

$35

Step-by-step explanation:

I did it in my head

Answer:

5

Step-by-step i did the math

Answer:

3 to the power of 0

Answer:

93

Step-by-step explanation:

Given the data:

$79,$ $84,$ $86,$ $92,$ $93,$ and $97

79, 84, 86, 92, 93, 97

Highest possible score obtainable in a test = 100

Hence to calculate the highest possible score she could still attain;

We assume she obtained a score of 100 in all remaining 3 tests

Then the data becomes :

79, 84, 86, 92, 93, 97, 100, 100, 100

Median of the dataset:

Q2 = 1/2(n + 1)th term

n = sample size = 9

Q2 = 1/2(9 + 1)th term

Q2 = 1/2(10)th term

Q2 = 5th term

Q2 = 93

Step-by-step explanation:

Question 1:

Question 2:

Answer:

0.64y = 40.

Question 2:

0.45z = 72

z = 72 * (1/0.45) = 160.

Step-by-step explanation:

Answer:

The area of the second triangle is 242 cm²

Step-by-step explanation:

In the similar triangles

∵ The length of a pair of corresponding sides of two similar ∆'s are

   3 cm and 11 cm

→ Find the ratio of the corresponding sides

∴ The ratio of their corresponding sides = [tex]\frac{3}{11}[/tex]

∵ The area of the first ∆ is 18 cm²

→ Use the second rule above

∵ [tex]\frac{A1}{A2}[/tex] = [tex](\frac{3}{11}) ^{2}[/tex]

∵ A1 = 18 cm²

→ Substitute it in the ratio above

∴ [tex]\frac{18}{A2}[/tex] = [tex]\frac{9}{121}[/tex]

→ By using the cross multiplication

∵ A2 × 9 = 18 × 121

∴ 9A2 = 2178

→ Divide both sides by 9

∴ A2 = 242 cm²

∴ The area of the second triangle is 242 cm²

Answer:

the two coefficients are 2/3 and -1/6

the sum of the expressions are = 1 /2 q−r+ −3 /4

Step-by-step explanation:

Answer: x=-2, y=2

Step-by-step explanation:

(SUBSTITUTION)

= 4x+4-x=2

x=-2

3y=4 x (-2)

y= 2

Answer:

$48

Step-by-step explanation:

so since the column on the right says n is 4 (next to yellow box), you would substitute 4 for n.

c=12n

c=12(4)

c=48

3x - 8y = 19

3x + 5y = -46

As you can see in the image below the solution of the system of equations is (-7,-5).

Answer: 3:2

Step-by-step explanation:

the base ratio of unused tape to used tape is 24:16.

then we have to simplify,

both 16 and 24 can be divided by eight,

24 divided by eight is 3

16 divided by eight is 2

therefore, our simlpified ratio is 3:2

hope this helped! <3

Answer:

The Answer is A

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ {3}^{a} \times \sqrt{6} }{9 \times \sqrt{54} } = 1 \\ {3}^{a} \sqrt{6} = 9 \sqrt{54} \\ {3}^{a} = \frac{9 \sqrt{54} }{ \sqrt{6} } \\ {3}^{a} = 27 \\ a = 3[/tex]

Answer: 48 pupils get the bus to the cinema and 36 pupils walk to the cinema.

Step-by-step explanation:

Let's suppose that there are a total of N pupils.

We know that N/4 walk to the cinema.

We know that N/3 get the bus to the cinema.

And the remainder is equal to 60 people.

Then:

N - N/4 - N/3 = 60

N*(1 - 1/4 - 1/3) = 60

N( 12/12 - 3/12 - 4/12) = 60

N*( 5/12) = 60

N = (12/5)*60 = 144

Then the number of pupils that walk to the cinema is N/4, or:

144/4 = 36

And the number of pupils that get the bus is N/3, or:

144/3 = 48.

Answer:

B is your answer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Option B:

3x = 15

x = 15 / 3

x = 5

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

a=5 a^2

5^2= 25

or 5×5=25

Answer:

A. moving forward for 10m at a steady pace of 2m/s

B. moving backwards 8m at a steady pace of 2.67m/s

C. staying in the same spot for 4 seconds

D. moving 9m at a steady pace of 4.5m/s

E. moving 4.5m with an average pace of 1.5m/s

Answer:

1) simplified would be 4m^5

2) simplified would be 2m

3) would be 8/r

Answer:

Step-by-step explanation:

the distance around the figure--we need to find the perimeter

we have rectangle that has the side, 8 and 15

P(r)=2(8)+2(15)=16+30=46

we also have half of the circle with the diameter =8 and r=4

Circumference =2*3.14*r

C=2*3.14*4=25.12

we need just half of the circle 25.12/2=12.56

P figure=46+12.56=58.56

Area= rectangle=l*w=8*15=120

Area(circle)=3.14*r^2=3.14*16=50.24

half circle 50.24/2=25.12

Area figure=120+25.12=145.12

Answer:

Danny

Step-by-step explanation:

Danny charges $10 an hour

Martin charges $11 an hour

The error interval when x is rounded off to 9.8 will be given as 9.75 ≤ x ≤ 9.84.

The number that is rounded off is:

x = 9.8

9.8 can be rounded off for 9.75 to 9.84

So, this means that:

9.75 ≤ x

or 9.84 ≥ x

So, the error interval becomes:

9.75 ≤ x ≤ 9.84

Therefore, we get that, the error interval when x is rounded off to 9.8 will be given as 9.75 ≤ x ≤ 9.84.

Learn more about error interval here:

https://brainly.com/question/24824625

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