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yarga [219]
3 years ago
15

Which represents the inverse of the function f(x) = 4x?

Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0
Good luck I am not sure
You might be interested in
I need help with this proof!
mr Goodwill [35]

Answer:

∠B ≅ ∠F ⇒ proved down

Step-by-step explanation:

<em>In the </em><em>two right triangles</em><em>, if the </em><em>hypotenuse and leg</em><em> of the </em><em>1st right Δ ≅</em><em> the </em><em>hypotenuse and leg</em><em> of the </em><em>2nd right Δ</em><em>, then the </em><em>two triangles are congruent</em>

Let us use this fact to solve the question

→ In Δs BCD and FED

∵ ∠C and ∠E are right angles

∴ Δs BCD and FED are right triangles ⇒ (1)

∵ D is the mid-point of CE

→ That means point D divides CE into 2 equal parts CD and ED

∴ CD = ED ⇒ (2) legs

∵ BD and DF are the opposite sides to the right angles

∴ BD and DF are the hypotenuses of the triangles

∵ BD ≅ FD ⇒ (3) hypotenuses

→ From (1), (2), (3), and the fact above

∴ Δ BCD ≅ ΔFED ⇒ by HL postulate of congruency

→ As a result of congruency

∴ BC ≅ FE

∴ ∠BDC ≅ ∠FDE

∴ ∠B ≅ ∠F ⇒ proved

3 0
2 years ago
a shopping channel shipped 467,023 packaged last year what is a reasonable estimate of the number of packages shipped explain
WITCHER [35]
467,000 because if you round higher to 468,000 it would be to far from the original number and 467,000 is closer.

Hope that made sence!
8 0
3 years ago
The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes
Rzqust [24]

Answer:

95.64% probability that pledges are received within 40 days

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 28, \sigma = 7

What is the probability that pledges are received within 40 days

This is the pvalue of Z when X = 40. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{40 - 28}{7}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564

95.64% probability that pledges are received within 40 days

7 0
3 years ago
The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5
Ivanshal [37]

Answer:

The probability of a customer buying carrots is 0.10.

Step-by-step explanation:

Here, given:

P (Customer buying apples) = 12%  

⇒   P(A) = 12 \100 = 0.12

P(Customer Buying apples AND Carrots) = 5%  

   ⇒   P(A ∩ C ) = 5 /100 = 0.05

P(Customer buying apples OR carrots ) = 17%    

⇒   P(A∪ C) = 17/100 =   0.17

Now, we know that:

<h3> P(X ∪ Y) = P(X) + P(Y) -  P(X ∩ Y ) </h3><h3></h3>

Now, here substituting the values, we get:

P(A∪ C)  = P(A) + P(C) - P(A ∩ C )

⇒  0. 17  =  0.12 + P(C) -  0.05

or, 0.17 - 0.07 = P(C)

or, P(C) = 0.10

or, P(Customer Buying Carrots) = 0.10

Hence, the probability of a customer buying carrots is 0.10.

4 0
3 years ago
Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account
Diano4ka-milaya [45]

Answer:

\$180.55

Step-by-step explanation:

step 1

<u><em>Simple interest</em></u>

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04

substitute in the formula above

A=2,250(1+0.04*10)

A=2,250(1.4)

A=\$3,150

step 2

<u><em>Interest compounded annually</em></u>

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1

substitute in the formula above

A=2,250(1+\frac{0.04}{1})^{1*10}  

A=2,250(1.04)^{10}  

A=\$3,330.55

step 3

Find the differences between the two final amounts

A=\$3,330.55-\$3,150=\$180.55

5 0
3 years ago
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