If a dilation produces a congruent figure, then the scale factor was equal to

9514 1404 393

Answer:

  g(x) = 2sin(x) +3

Step-by-step explanation:

The transformation g(x) = c·f(x) +k represents a vertical scaling by a factor of c and a vertical shift by k units. You want the scale factor to be 2 and the vertical shift to be +3, so the transformed function is ...

  g(x) = 2f(x) +3

  g(x) = 2sin(x) +3

To find the solutions of quadratic equation, there are two ways to do which are:

Step 1

- Factor the expression.

To factor the expression, refer below:

[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - bx - ax + ab}[/tex]

For bx and ax, both can be common-factored. Therefore

[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - (b + a)x + ab}[/tex]

From the above, we conclude that:

From the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.

[tex] \displaystyle \large{{x}^{2} - x - 30 = (x + 5)(x - 6)}[/tex]

Because in the middle term, it is -x which is negative, we have to let the highest number become negative.

From the factored expression:

Then we replace the standard equation with factored form.

[tex] \displaystyle \large{ (x + 5)(x - 6) = 0}[/tex]

For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!

Hence

[tex] \displaystyle \large{ x = - 5, 6}[/tex]

Therefore, the solutions are x = -5, 6.

Answer:

3/15

Step-by-step explanation:

-2/5=-6/15

(-6-(-9))/15=(-6+9)/15=3/15

Answer:

No it is good

Step-by-step explanation:

I like it. good luck

Answer:

Rs 18.30

Step-by-step explanation:

100-(25.75+20.50+35.45)=100-81.70=Rs18.30

Answer:

Step-by-step explanation:

(x+1, 10) = (4, 2y)

First x coordinate,

x + 1 = 4

=> x = 4 - 1

=> x = 3 (Ans) (i)

Second y coordinate,

10 = 2y

[tex] = > y = \frac{10}{2} [/tex]

=> y = 5 (Ans) (ii)

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{{2 (30.6 + 5.03) - 7}}}\\\huge\boxed{\mathsf{\rightarrow 2(\bold{35.63)}} - 7}\\\huge\boxed{\rightarrow\mathsf{\bold{71.26}} - 7}\\\huge\boxed{\rightarrow\mathsf{\bf = 64.26}}\\\huge\boxed{\huge\text{Therefore, your answer is: \bf 64.24}}[/tex]

[tex]\huge\text{\text{Good luck on your assignment \& enjoy your day!}}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

0.5

Step-by-step explanation:

2.30 divided by 4.5 = 0.5

please enjoy your day <3

Answer:

The multiples of 4 that are less than 30 are 4, 8, 12, 16, 20, 24, 28

Answer:

Use the following formulas for the tables

Step-by-step explanation:

For the tables given bellow use these formulas for part 7 a and b

y2-y1 over x1-x1

that would give us the slope then plug that into y=mx+b

Answer:

7. a. y=5x+29

b. y=9x+4

l have answer question number 7a and 7b

Answer:

Complementary angles are 2 angles whose sum is 90 (ex 35° and 55°)

Step-by-step explanation:

complenentary angles are the pair angles with the sum of 90°

Answer:

r = (-4,9]

Step-by-step explanation:

hope this will help

Answer:

-4<y≤2

Step-by-step explanation:

The range of a graph is the range of the y values.

Answer:

Can you describe this question

Step-by-step explanation:

In the survey study above, in other to get valuable information that would help the veterinarian find answers to the research question, he correct description of the population of the survey is: this veterinarian's dog-owning clients.

In a survey, the population of the study is the group of people that can provide valuable information to a researcher regarding the research questions.

Thus, in the survey study above, in other to get valuable information that would help the veterinarian find answers to the research question, he correct description of the population of the survey is: this veterinarian's dog-owning clients.

Learn more about population of study on:

https://brainly.com/question/14320940

Answer:

0.09

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x)=x²-1

f(x-3)=(x-3)²-1

=x²-6x+9-1

=x²-6x+8

Answer:

Below

Step-by-step explanation:

DO=15

OB=3x+7

DB=9x-2

O is between D and B

So,

OB+DO=DB

or, 9x-2+3x+7=15

or, 12x=15-5

or, x=10/12

Thus, x=5/6

Answer:

0.4 as a fraction would be 2/5

Answer: 4/9

Step-by-step explanation:

Answer:

-2

BRAINLIEST, PLEASE!

Step-by-step explanation:

5 - 3(2a + 1) = -4a + 10

5 - 6a - 3 = -4a + 10

2 - 6a = -4a + 10

-2a = 8

a = -4

-4 + 2 = -2

Answer:

a+2 = -4+2 = -2

Step-by-step explanation:

5-3(2a+1)=-4a+10

Distribute

5 - 6a -3 = -4a +10

Combine like terms

-6a +2 = -4a +10

Add 6a to each side

-6a+2 +6a = -4a+6a +10

2 = 2a+10

Subtract 10 from each side

2-10 =2a+10-10

-8 = 2a

Divide by 2

-8/2 =2a/2

-4=a

Step-by-step explanation:

[tex]w = x^4\sin(y^4z^3)[/tex]

The differential [tex]dw[/tex] is

[tex]dw = 4x^3\sin(y^4z^3)dx [/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(4y^3z^3)dy [/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(3y^4z^2)dz[/tex]

Answer:

It is not hard

Step-by-step explanation:

•Once you get familiar with the lesson you understand it in a much easier way by doing problems pretty often

•If you want get more comfortable with it just search for a few questions in internet specifically educational platforms in schools like teachers

•But if your still confused you can always study it for free by byjus or vedantu and the best option in my opinion is ask your teacher to explain it once more

•It is very hard to solve questions if you are not freindly with the chapter

• Do not hesitate to ask questions if your doubting or anything you might face problems in higher grades with the topic

Answer:1.4

Step-by-step explanation:

Answer:

Well since you didn't give any choices, I would say the simplest way to write it would be (18 + 9) x 2

9514 1404 393

Answer:

  27 square units

Step-by-step explanation:

The height is measured perpendicular to the base, so it is convenient to use a base such that the height is easily found. Here, the vertical line is a suitable base, as the height is the horizontal distance from that to the opposite vertex.

  A = 1/2bh = 1/2(9)(6) = 27 . . . . square units = triangle area

Answer:

952

Step-by-step explanation:

LCM(8,14) = (8 × 14)  = (8 × 14) / 2  = 112 / 2  = 56

LCM(56,17) = (56 × 17)

= (56 × 17) / 1

= 952 / 1

= 952

Therefore,

                  LCM (Lowest common multiple) (8, 14, 17) = 952

length = 82 cm

width = 16 cm

Step-by-step explanation:

x = length

y = width

the perimeter of a rectangle is the lengths of all sides added together. so, 2×length plus 2× width

x = 5y + 2

196 = 2x + 2y

let's use the first equation as substitute in the second equation.

196 = 2×(5y + 2) + 2y = 10y + 4 + 2y = 12y + 4

12y = 192

y = 16 cm

x = 5y + 2 = 5×16 + 2 = 80 + 2 = 82 cm

First take a derivative,

[tex]\frac{d}{dx}-5t^2+10t+30=-10t+10=-10(t-1)[/tex]

Now compute the critical point where the slope is 0,

[tex]-10(t-1)=0\implies t-1=0\implies t=1[/tex]

And done.

The maximum height is at [tex]t=1[/tex] of [tex]h(1)=-5+10+30=35[/tex].

Hope this helps :)

Answer:

S.P = 225

Explanation:

Cost Price = 20 copies for Rs. 25

Selling price = 20 copies for ?

Profit = Rs. 200

Profit = S.P -C.P

Profit + C.P = S.P

200 + 25 = S.P

225 = S.P

Answer:

1 = Yes

2 = NO

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes for both.

Each value of x has only one image (an y value)

Answer:

ill answer if u can make it english

Step-by-step explanation:

Using the normal probability distribution and the central limit theorem, it is found that there is a 0.04 = 4% probability that the mean ticket price exceeds $35.

------------------------------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

------------------------------------------

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.  

------------------------------------------

The average ticket price for a Spring Training baseball game is $32.61, with a standard deviation of $8.62.

This means that [tex]\mu = 32.61, \sigma = 8.62[/tex]

------------------------------------------

Sample of 40:

This means that [tex]n = 40, s = \frac{8.62}{\sqrt{40}}[/tex]

------------------------------------------

In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $35.

This is 1 subtracted by the p-value of Z when X = 35, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{35 - 32.61}{\frac{8.62}{\sqrt{40}}}[/tex]

[tex]Z = 1.754[/tex]

[tex]Z = 1.754[/tex] has a p-value of 0.96.

1 - 0.96 = 0.04

0.04 = 4% probability that the mean ticket price exceeds $35.

A similar question is given at https://brainly.com/question/24342706

Step-by-step explanat

(g) 3[(3)²-2]+4=3(9-2)=3×7=21+4=25