Find the inverse of f(x) = -3 -4/5x

Answer:

x = 18

Step-by-step explanation:

To solve this problem, we can use the exterior angle theorem, which means the measure of an exterior angle is the sum of its remote interior angles. In this case, this would mean:

x + 72 = 5x

Since this gives us an equation, we can just solve for x:

x + 72 = 5x

72 = 4x

x = 18

[tex]\\ \sf\longmapsto \dfrac{5x+3}{7x+3}=\dfrac{3}{4}[/tex]

[tex]\\ \sf\longmapsto 4(5x+3)=3(7x+3)[/tex]

[tex]\\ \sf\longmapsto 20x+12=21x+9[/tex]

[tex]\\ \sf\longmapsto 12-9=21x-20x[/tex]

[tex]\\ \sf\longmapsto x=3[/tex]

[tex]\large\rm \longrightarrow \: {\purple{ \frac{(5x + 3)}{(7x + 3)} \: = \: \frac{3}{4} }} \\ [/tex]

⇛ Now , Cross Multiplying

[tex]\large\rm \longrightarrow \: {\blue{ 4 \: (5x + 3) \: = \: 3 \: (7x + 3)}}[/tex]

[tex]\large\rm \longrightarrow \: {\red{ 20x \: + \: 3 \: = \: 21 \: + \: 3}}[/tex]

[tex]\large\rm \longrightarrow \: {\orange{ 12 \: - \: 9 \: = \: 21x \: - \: 20x }}[/tex]

[tex]\large\rm \longrightarrow \:{\green{ 3 \: = \: x}}[/tex]

⇛ Hence , the value of x is 3

The most appropriate values are:

z = - 2.23

The corresponding probability is : 0.01297

Mean, μ = 45

Standard deviation, σ = 5

Sample size, n = 31

The standard score, Z ; Since distribution is normal is obtained thus;

Z= (x - μ) ÷ (σ/√n)

For, x = 43

Z = (43 - 45) ÷ (5/√31)

Z = - 2.227

The probability :

Using the standard normal distribution table:

P(Z < - 2.227)

P = 0.01297

Hence, Z = - 2.23

P(x ≤ 43) = 0.0129



Learn more on Z probability :

https://brainly.com/question/4555552

[tex]\\ \sf\longmapsto 2x^2=10x[/tex]

[tex]\\ \sf\longmapsto x^2=\dfrac{10x}{2}[/tex]

[tex]\\ \sf\longmapsto x^2=5x[/tex]

[tex]\\ \sf\longmapsto x=5[/tex]

Answer:

x >7

Step-by-step explanation:

There is an open circle at 7, which means it cannot equal 7.  The line goes to the right

x >7

According to the manufacturer's claim, we build an hypothesis test, find the test statistic and the p-value relative to this test statistic, we have that:

As the test involves a comparison of samples, it involves subtraction of normal variables, and for this, we need to understand the central limit theorem and subtraction of normal variables.

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Before:

Average of 0.250 in 56 at bats, so:

[tex]p_B = 0.25[/tex]

[tex]s_B = \sqrt{\frac{0.25*0.75}{56}} = 0.0579[/tex]

After:

Average of 0.44 in 25 at bats, so:

[tex]p_A = 0.44[/tex]

[tex]s_A = \sqrt{\frac{0.44*0.56}{25}} = 0.0993[/tex]

Test if there was improvement:

At the null hypothesis, we test if there was no improvement, that is, the subtraction of the proportions is 0:

[tex]H_0: p_A - p_B = 0[/tex]

At the alternative hypothesis, we test if there was improvement, that is, the subtraction of the proportions is positive, so:

[tex]H_1: p_A - p_B > 0[/tex]

The test statistic is:

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

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the samples:

[tex]X = p_B - p_A = 0.44 - 0.25 = 0.19[/tex]

[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.0579^2 + 0.0993^2} = 0.1149[/tex]

Value of the test statistic:

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

[tex]z = \frac{0.19 - 0}{0.1149}[/tex]

[tex]z = 1.65[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a difference of at least 0.19, which is 1 subtracted by the p-value of z = 1.65.

Looking at the z-table, z = 1.65 has a p-value of 0.9505.

1 - 0.9505 = 0.0495.

The p-value of the test is of 0.0495 > 0.02, which means that there is not sufficient evidence to say that his batting average has improved at the 0.02 level of significance.

A similar question is found at https://brainly.com/question/23827843

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

Step-by-step explanation:

Y =  Ax2 Bx C

Enter coefficients here >>>  4 7 -20

Standard Form: y = 4x²+7x-20    

1.75 0.875 0.765625 3.0625 -23.0625

Grouped  Form: No valid Grouping      

Graphing Form: y = 4(x+0.88)²-23.06    

Factored Form: PRIME    

Solution/X-Intercepts: -3.28 AND 1.53    

Discriminate =369 is positive, two real solutions    

VERTEX: (-0.88,-23.06)     Directrix: Y=-23.13    

Answer:

n = -10

Step-by-step explanation:

1 / 8^n  = 8^5^2

We know that 1/a^b = a^-b

We also know that a^b^c = a^(b*c)

8^-n = 8^(5*2)

8^-n = 8^(10)

Since the bases are the same, the exponents are the same

-n = 10

n = -10

| - 4 | = 4

Thus :

f ( | - 4 | ) = f ( 4 )

f ( 4 ) = ( 4 )^2 - 2(4) + 4

f ( 4 ) = 16 - 8 + 4

f ( 4 ) = 16 + 4 - 8

f ( 4 ) = 20 - 8

f ( 4 ) = 12

Answer:

Step-by-step explanation:

No that is true. I can't make anything more out of it.

Answer:

The answer for this question is 5

Answer:

C

Step-by-step explanation:

one line is

y = 3x/7 + 11

its slope is 3/7

the y-intercept is, of course, when x=0. there y=11

the other is

-3x + 7y = 13

7y = 3x + 13

y = 3x/7 + 13/7

its slope is 3/7 (the same as the other line)

the y-intercept (x=0) is y = 13/7 (different to the other line)

Answer:

C. Yes, since the slopes are the same and the y-intercepts are different.

Step-by-step explanation:

[tex]y=\frac{3}{7} x+11[/tex]  and [tex]-3x+7y=13[/tex]

→ Rearrange the second equation to make y the subject

7y = 3x + 13

→ Divide everything by 7

[tex]y=\frac{3}{7} x+\frac{13}{7}[/tex]

Answer:

239=5

478=10

956=20

Step-by-step explanation:

Gianna's car can travel 478 mi with 10 gallons of gas

so, 47.8 mi with 1 gallon

by dividing 239 by 47.8 miles/gallon we get the answer 5 miles.

if we multiply 20 gallons by 47.8 mi/gallon #e get the answer 956 miles.

easy weasy

We know

[tex]\boxed{\sf Area=Length\times Breadth}[/tex]

[tex]\\ \sf\longmapsto x(4x)=36[/tex]

[tex]\\ \sf\longmapsto 4x^2=36[/tex]

[tex]\\ \sf\longmapsto x^2=\dfrac{36}{4}[/tex]

[tex]\\ \sf\longmapsto x^2=9[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{9}[/tex]

[tex]\\ \sf\longmapsto x=3[/tex]

Points: (-1,-7), (1,7)

Formula (y=mx+b):

y = 7x

Slope m: 7

Y-intercept b: 0

Parallel lines: 7x + any number

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K = 0

Lol

Jejdnjshsjsudhejdidujwid

Answer: about 40.54°

Step by step explanation:

7^2 =  5^2 + 10^2  - 2(5)(10)cos(B)

cos(B)  = (7^2 - 5^2 - 10^2) / (-2(5)(10) )

B = cos-1 [ (7^2 - 5^2 - 10^2) / (-2(5)(10) ]  =  cos-1 (.76) = about 40.54°

[tex]f(x) = {x}^{2} + x - 2 \\ f( - 2x) = ( - 2x) ^{2} + ( - 2x) - 2 \\ = 4 {x}^{2} - 2x - 2 \\ \\ g(x) = 3f( - 2x) \\ g(x) = 3(4 {x}^{2} - 2x - 2) \\ = 12 {x}^{2} - 6x - 6 \\ = 6(2x + 1)(x - 1) \\ \\ g(x) = \sqrt{3f( - 2x)} \\ = \sqrt{3(4 {x}^{2} - 2x - 2)} \\ = \sqrt{12 {x}^{2} - 6x - 6} \\ = \sqrt{6(2x + 1)(x - 1)} \\ x = - \frac{1}{2} ,1[/tex]

From what I understood from the question I answered, I'm not sure about it , I hope this helps you ^_^

Answer:

1 kilometer in 1 hour

Step-by-step explanation:

unit rate is km(kilometer) per hour(hr)

1/3 km = 1/3 hr

multiply both sides by 3

1 km in 1 hour

Answer:

As the room is in rectangular shape so

Length=2.5m

Breadth=4m

Area of wall=l×b

=2.5×4

=10m²

Thus, it is the area of 1 wall

Therefore area of 2 walls = area of 1 wall×2

=10×2

=20m²

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

Age of younger brother is 14 years..

And age if elder brother is 29 years.

Step-by-step explanation:

Let us denote 'x' as the age of smaller brother,

then, the age of younger brother will be x+15 years.

Equation formed:-

x+x+15 =43

2x+15 = 43

2x = 43-15

2x = 28

X = 28/2

X = 14

Age of younger brother is 14 years.

Age of elder brother = x + 15

Age of elder brother 14 + 15 = 29 years.

Answer:

201.1 km²

Step-by-step explanation:

Surface area of the figure,

4πr²

= 4×π×4²

= 64π

= 201.1 km² (rounded to the nearest tenth)

Answer: 1400 packages

Step-by-step explanation:

1150+1200+1900+1350 divided by the 4 day interval means and average of:

1400 packages per day

Answer:

cannot understand the language man

but please follow

Answer:

Step-by-step explanation:

brilliant has 9 letters

brilliant has 1 B (1/9)

brilliant has 1 R (1/9)

brilliant has 2 I's (2/9)

brilliant has 2 L's (2/9)

brilliant has 1 A (1/9)

brilliant has 1 N (1/9)

brilliant has 1 T (1/9)

Answer:

21

[tex] \frac{1}{3} s = 7 \\ s = 7 \times 3 \\ s = 21[/tex]

Answer:

-18/x+3

Step-by-step explanation:

Answer:

25 is the amount needed to climb to 60,000 feet