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The effect on the parabola y = x^2 - 1 when it is changed to y = x^2 + 6 is a translation of 7 units upwards.

First let's do an introduction, for any function f(x), we can define a vertical translation of N units as:

g(x) =f(x) + N

Where if N > 0, the translation is upwards, and if N < 0, the translation is downwards.

In this case, we start with the parabola:

y = f(x) = x^2 - 1

Now we know that the transformed function is:

y = g(x) = x^2 + 6

Now, notice that if we apply a translation upwards of 7 units of the original function we will get:

y = f(x) = x^2 - 1 + 7 = x^2 + 6

We got the transformed function.

Then the effect on the parabola is a translation of 7 units upwards.

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Answer:

(1/2, 19/4)

Step-by-step explanation:

So the formula is y=-b/2a.

a= 1

b= -1

Plug in the values to get x=1/2.

you then plug in 1/2 to get the y

you end up with 19/4.

Your vertex ends up as (1/2, 19/4).

hope this helped!!

Answer:

the exact form is 2/5. the decimal form is 0.4 ig

Step-by-step explanation:

Answer:

this is so a.s.s i need my account unbanned #freeitzel #freeitzelsotheracc #itzelneedssaving

Step-by-step explanation:

Answer:

B. (x-5)²+(y+1)² = 49

Step-by-step explanation:

An equation of a circle with center (h, k) and radius r is

[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]

We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7

Substitute these values in

[tex] \large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }[/tex]

So the answer is B choice.

Answer:

-1 , -6

Step-by-step explanation:

Let x be the first number and let y be the second number.

x * y = 6

x + y = -7

Let's first find the factor pairs of 6.

1, 6

2, 3

-1, -6

-2, -3

Now, we just need to take each factor pair and add them together and see which one equals -7.

1 + 6 = 7, so that is wrong.

2 + 3 - 5, so that is also wrong.

-1 - 6 = -7, so this is our answer (-2 and -3 added is -5, which is wrong).

Therefore, our answer is -6 and -1.

Answer:

Are you sure the question is right?

Answer:

Hello There!!

Step-by-step explanation:

I believe the answer is 4,9,0-0.7,1.31,4,9 and 9.The probability of an event if from 0 to 1.

hope this helps,have a great day!!

~Pinky~

Answer:

1/4

Step-by-step explanation:

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Answer:

[tex]\sqrt[4]{7.5^{4} }[/tex]

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]

Given

[tex]7.5^{1.25}[/tex]

= [tex]7.5^{\frac{5}{4} }[/tex]

= [tex]\sqrt[4]{7.5^{4} }[/tex]

[tex]\sqrt[4]{7.5^{5} }[/tex] is the radical for [tex]7.5^{1.25}[/tex].

Exponent rules, which are also known as the 'laws of exponents' or the 'properties of exponents' make the process of simplifying expressions involving exponents easier. These rules are helpful to simplify the expressions that have decimals, fractions, irrational numbers, and negative integers as their exponents.

Given

[tex]7.5^{1.25}[/tex]

We can write 1.25 is [tex]\frac{5}{4}[/tex]

[tex]7.5^{\frac{5}{4} }[/tex]

Using the rule of exponents/radicals

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]

[tex]7.5^{\frac{5}{4} }[/tex] = [tex]\sqrt[4]{7.5^{5} }[/tex]

[tex]\sqrt[4]{7.5^{5} }[/tex] is the radical for [tex]7.5^{1.25}[/tex].

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Answer:

Using the "AC Method" I got (w - 2) (w + 9)

Step-by-step explanation:

Answer:

(w−2)(w+ 9)

Step-by-step explanation:

Grouping

Step 1:

Use the sum-product pattern

w²  + 7 − 18

w² + 9 − 2 −18

Step 2:

Common factor from the two pairs

w²+ 9 − 2 − 18w

( w+ 9) − 2( w+ 9)

Step 3:

Rewrite in factored form

(w + 9) − 2( w+ 9)

(w−2)(w+9)

Answer:

[tex] \displaystyle PW = \underline{ \quad18 \quad}[/tex]

Step-by-step explanation:

by tangent property we acquire:

[tex] \displaystyle 3x - 6 = x + 10[/tex]

add 6 to both sides:

[tex] \displaystyle 3x= x + 16[/tex]

cancel x from both sides:

[tex] \displaystyle 2x= 16[/tex]

divide both sides by 2:

[tex] \displaystyle x= 8[/tex]

so,

[tex] \displaystyle PW = 3x - 6[/tex]

plug in the got value of x:

[tex] \displaystyle PW = 3.8 - 6[/tex]

simplify multiplication:

[tex] \displaystyle PW = 24- 6[/tex]

simplify Substraction:

[tex] \displaystyle PW =18[/tex]

hence, The measure of PW is 18 unit

Answer:

D

Step-by-step explanation:

With each flip of the coin, the chance of it landing on tails is multiplied by half. Hence the chance of landing a consecutive series of tails decreases the more times you flip the coin, but never reaches 0.

A is incorrect as it is possible to land heads on any flip.

B is incorrect as there is always a possibility of landing tails on every flip.

C is incorrect as the chance of getting tails on every flip is small (and gets smaller) and hence cannot be considered to be likely.

Hence D is the answer.

Answer:

AC ≈ 5.5

Step-by-step explanation:

Angle bisector theorem states that "angle bisector of an angle divides the opposite side into two segments which are proportional to the other two sides of the triangle."

By applying this theorem in the given ΔABC,

AD is the angle bisector of ∠CAB which divides the opposite side of the angle into two segments BD and CD.

Therefore, [tex]\frac{AB}{BD}=\frac{AC}{CD}[/tex]

[tex]\frac{5.1}{4}=\frac{AC}{4.3}[/tex]

[tex]AC=\frac{5.1\times 4.3}{4}[/tex]

AC = 5.4825

AC ≈ 5.5 units

[tex] = ( - \dfrac{1}{2} ) \times ( - \dfrac{1}{2} ) \times ( - \dfrac{1}{2} ) \\ = ( - \frac{1}{2} ) ^{3} [/tex]

It's done...

Answer:

pecuniary purveyors organization irreversible

Answer:

11 hours

Step-by-step explanation:

819 miles/13 hours = 63 mph

693 miles/63 mph = 11 hours

Answer:

89 if you pay 11$ to go to the museum for Justin 1$

Step-by-step explanation:

100 - 11 = 89.

Answer:

189 seconds

Step-by-step explanation:

16% shorter,

Left side first and second group is 2.5% and 13.5% = 16%

189 is the max of that group

16% of videos on the streaming site are shorter than 189 seconds.

To determine the length at which 16% of videos are shorter, we can use the properties of a normal distribution.

Given that the mean length is 264 seconds and the standard deviation is 75 seconds, we can use a Z-score to find the corresponding percentile.

First, we need to find the Z-score associated with the 16th percentile. This can be done using a Z-table or a statistical calculator. The Z-score corresponding to the 16th percentile is approximately -0.9945.

Using the formula for Z-score:

Z = (X - μ) / σ,

where X is the length of the video, μ is the mean, and σ is the standard deviation, we can rearrange the formula to solve for X:

X = Z * σ + μ.

Substituting the values:

X = (-0.9945) * 75 + 264,

X ≈ 189 seconds.

Therefore, approximately 16% of videos on the streaming site are shorter than 189 seconds. So, the correct answer is 189 seconds.

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Answer:

Amount of water in each balloon = 300 milliliter

Step-by-step explanation:

Given:

Amount of water used in balloon = 6 liter

Number of water balloon  = 20 balloon

Find:

Amount of water in each balloon

Computation:

Amount of water used in balloon = 6 x 1000

Amount of water used in balloon = 6,000 milliliter

Amount of water in each balloon = Amount of water used in balloon / Number of water balloon

Amount of water in each balloon = 6,000 / 20

Amount of water in each balloon = 300 milliliter

Answer:

x =10

Step-by-step explanation:

angles are equivalent

170 = 2x + 6x + 90

170 - 90 = 8x +90 - 90

80 = 8x

10 = x

Answer:

I think the answer is C. 53pi ft

Step-by-step explanation:

Answer:

12 cm^2

Step-by-step explanation:

Here the base and height of a triangle are given.  To find the area, we use the formula A = (1/2)(base)(height), which here is

A = (1/2)(8 cm)(3 cm) = 12 cm^2

Answer: [tex]\dfrac{2}{9}[/tex]

Step-by-step explanation:

Given

The spinner has 6 equal sections A, B, C, D, E, and F

The two events occurred one after the other. So, the probability is the product of the probabilities of each event.

There are two consonants in the given 6 letter

The probability of landing over a consonant  is

[tex]P_1=\dfrac{2}{6}[/tex]

The number greater than 2 in a cube are 3,4,5,6

So, probability corresponding to it

[tex]P_2=\dfrac{4}{6}[/tex]

So, the required probability is

[tex]\Rightarrow P=P_1\times P_2\\\Rightarrow P=\dfrac{2}{6}\times \dfrac{4}{6}\\\\\Rightarrow P=\dfrac{8}{36}\\\\\Rightarrow P=\dfrac{2}{9}[/tex]

Answer:

3/8

Step-by-step explanation:

3/10 ÷ 4/5

Copy dot flip

3/10 * 5/4

Rewriting

3 /4 * 5/10

3/4 *1/2

3/8

Answer:

B

Step-by-step explanation:

flip the 4/5 to 5/4 and multiple instead of divide to give you

= 3/10 x 5/4

Multiply denominators and numerators by each other (3 x 5 and 10 x 4) to give you

= 15/40

SImplify and your answer is

= 3/8

Answer:

6(2 + 2/3x) = 12 + 4x

Step-by-step explanation:

...............

Answer:

6(2 + [tex]\frac{2}{3}[/tex] x ) = 12 + 4x

Step-by-step explanation:

Note that

6 × [tex]\frac{2}{3}[/tex] = 4

Then

6(2 + [tex]\frac{2}{3}[/tex] x ) ← is the required expression

Answer:

its A

Step-by-step explanation:

The probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that:

Weight/Calories   1000-1500   1500-2000 2000-2500    Total

per Day              

120 lb.                        90            80      10        180

145 lb.                        35            143       25        203

165 lb.                        15             27         75         117

Total                       140            250        110       500

Hence, Total no. of person consumes 2000 to 2,500 calories in a day = 110

And, Total = 500

Now the probability that a person consumes 2,000 to 2,500 calories in a day :

⇒ 110 / 500

⇒ 0.22

Hence  the probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.

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Answer:

193.69

Step-by-step explanation:

Answer:

4.189 radians

Step-by-step explanation:

Given data

θ=240 degrees

Let us convert from  degrees to radians

Angle in Radian= Angle in degree* π/180

Substitute

Angle in Radian= 240* π/180

Angle in Radian= 4* π/3

Angle in Radian= 4* 3.142/3

Angle in Radian=12.568/3

Angle in Radian=4.189 radians

Answer:

The hourly rate would be 14

Step-by-step explanation:

All you have to do is divide 49 by 3.5, giving you 14 :)