MC)
The equation represents Function A, and the graph represents Function B:
Function A
f(x) = 6x-1
Function B
4
3
2
1
- 2
-3
-4
-5
-6
Which equation best compares the slopes of the two functions?
Previous Question

Answer:

Y=72

Step-by-step explanation:

First we set up the equation which is (20-2) times 4=Y

Then we solve, 20 minus 2 is risk since it is in the parentheses. 20 minus 2 is 18.

After that 18 times 4 is 72

Y=72

Answer:

1) 7/20

2) 1/3

3)1/20

4)1/20

5) 3/10

Step-by-step explanation:

Answer: 1) 7/20

2) 1/3

3) 1/20

4) 1/20

5) 3/10

Step-by-step explanation: 1) because we are multiplying fractions all we have to do is multiply the fractions numerator by numerator and denominator by denominator so 1x8=7 and 2x10=20 so 1/2x7/10=7/20

2) 2x2=4 4x3=12 so 2/4x2/3=4/12 now we can simplify so 4 divided by 4=1 and 12 divided by 4=3 so 1/3

3) 1x1=1 10x2=20 so 1/10x1/2=1/20

4) 1x1=1 10x2=20 so 1/10x1/2=1/20

5) 1x6=6 2x10=20 so 1/2x6/10=6/20 so now we have to simplify so 6 divided by 2=3 and 20 divided by 2=10 so 3/10

plz mark me brainliest

According to the equation the given all necessary math work are:

\(A: (x -f)^2 +(y -g)^2 = h^2\)

B:  domain: [-5, 11]; range: [-9, 7]

C:  yes, inside

The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.

Part A:

Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:

sum οf squares οf sides = square οf hypοtenuse

\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h

Part B:

The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.

dοmain: 3 ± 8 = [-5, 11]

range: -1 ±8 = [-9, 7]

Part C:

The distance frοm pοint (10, -4) tο (f, g) is ...

\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)

\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)

h = √58 < 8 . . . . the distance tο the pοint is less than h=8.

The pοint is inside the circle.

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Answer:

3/2 miles or 2 1/2 mile

Step-by-step explanation:

3/8 mile/1/4 hour

3/8 × 4 = 3/2

1/4 ×4 = 1

Answer:

q=8/3

Step-by-step explanation:

First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.

Answer:

\(q=2\frac{2}{3}\)

Step-by-step explanation:

The given equation consists of a fraction and a mixed number.

First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

\(q-\dfrac{5}{6}=1 \frac{5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{11}{6}\)

Now, add 5/6 to both sides of the equation to isolate q:

\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)

\(q=\dfrac{11}{6}+\dfrac{5}{6}\)

As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:

\(q=\dfrac{11+5}{6}\)

\(q=\dfrac{16}{6}\)

Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).  

The GCF of 16 and 6 is 2, therefore:

\(q=\dfrac{16\div 2}{6 \div 2}\)

\(q=\dfrac{8}{3}\)

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

\(q=2 \; \textsf{remainder}\;2\)

The mixed number answer is the whole number and the remainder divided by the denominator:

\(q=2\frac{2}{3}\)

The maximum salary that Rick can offer a new employee based on the budgeted and current projections is $93.750.

A budget projection is qualitative and quantitative data developed for making a long-term prediction of estimated future financial results.

Projected gross revenue = $5 million

The annual profit margin on cost = 25%

Annual profit in dollars = $962,500 ($3,850,000 x 25%)

Projected expenses for the year = $3,850,000

Actual cost of an employee = $187,500 ($5,000,000 - $3,850,000 - $962,500)

The expected maximum salary for the new employee = $93,750 ($187,500/2)

Thus, Rick cannot avoid offering a new employee more than $93,750 if he must maintain a 25% annual profit margin on cost.

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Answer:

45% are female -> 72

100% are total -> x

x= 72• 100/45

x= 7200/45

x= 160

total= male+female

160= male + 72

male= 88

a z-test for the proportional difference is the proper hypothesis test.

A hypothesis test can be used to find whether the deviation in proportions impacts the medication's effectivity. We may compare the secondary hypothesis—that the proportions are different—to the null hypothesis.

which states that the dimension of patients who show cut down blood pressure is the same for the two doses of the drug (50 mg and 100 mg).

Popular test statistics like the z-test can be applied to this hypothesis test and other statistical analyses.

\(z = (p1 - p2) / SE\)

where p1 and p2, for the 50 mg and 100 mg doses, respectively, are the sample proportions of patients who show fallen blood pressure, and SE is the standard error of the difference between the proportions.

the samples are assumed to be independent or dependent, impacts the SE formula. The samples in this instance are presumed to be independent because they came from various patients. Consequently, the equation for SE is:

\(SE = \sqrt(p1 \times (1 - p1)/n1 + p2 *\times(1 - p2)/n2)\)

here, the sample sizes for two doses is n1 and n2.

We can compute the z-test statistic based on the sample sizes and proportions and compare the result to a critical value or p-value to decide whether to accept or reject the null hypothesis.

Therefore, a z-test for the proportional difference is the proper hypothesis test.

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Answer:

\(h'(x)=0\)

Step-by-step explanation:

By definition, the derivative of \(f(x)\) is given by:

\(\displaystyle \frac{dy}{dx}=f'(x)=\lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}\)

Given \(h(x)=c\pi\), \(h(x+4)\) must also be \(c\pi\). Therefore, we have:

\(\displaystyle h'(x)=\lim_{h\rightarrow 0}\frac{c\pi - c\pi }{h},\\h'(x)=\lim_{h\rightarrow 0}\frac{0}{h}=\boxed{0}\)

Note that the derivative of a constant is always zero since for \(f(x)=c\), where \(c\) is some constant, \(f(x)=f(x+h)\) and we obtain \(c-c\) in the numerator, yielding a final answer of zero.

the answer is 5 cuz the gcf of the given numbers is 5

Answer

B and C are true for sure but i am not sure about A or C.... i think it is C

Step-by-step explanation:

The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.

Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.

From the information given, we can set up the following equations:

Eugene's spending:

18h + 6g = $150

Jessica's spending:

7h + 16g = $113

We can now solve this system of equations to find the values of 'h' and 'g'.

Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:

36h + 12g = $300

21h + 48g = $339

Now, we can subtract the second equation from the first to eliminate 'h':

(36h + 12g) - (21h + 48g) = $300 - $339

36h - 21h + 12g - 48g = -$39

15h - 36g = -$39

Simplifying further, we have:

15h - 36g = -$39

Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.

Let's solve for 'h':

15h = 36g - $39

h = (36g - $39) / 15

Substituting this value of 'h' into Eugene's equation:

18[(36g - $39) / 15] + 6g = $150

(648g - $702) / 15 + 6g = $150

648g - $702 + 90g = $150 * 15

738g - $702 = $2250

738g = $2250 + $702

738g = $2952

g = $2952 / 738

g ≈ $4

Now, substituting the value of 'g' back into Eugene's equation:

18h + 6($4) = $150

18h + $24 = $150

18h = $150 - $24

18h = $126

h = $126 / 18

h ≈ $7

Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

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The height is the distance between the opposite parallel sides of the parallelogram.

Therefore, the height of the parallelogram is 4 cm.

Answer:

E=x

or 110= x ( opposite angles of parallelogram are congurent)

E+D = 180 ( angles on st line)

110+D =180

D=70

D=F ( opposite angles of parallelogram are congurent)

so F=70

a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c) . A 90% confidence interval would be wider than the 95% interval

To verify the Central Limit Theorem (CLT) conditions, we need to check the following:

1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.

2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.

3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.

Therefore, the Central Limit Theorem conditions are met.

b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:

CI = p ± z * √(p(1-p)/n)

where:

- p is the sample proportion (82% or 0.82 in decimal form).

- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.

- n is the sample size (800).

Calculating the confidence interval:

CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)

CI = 0.82 ± 1.96 * √(0.82*0.18/800)

CI = 0.82 ± 1.96 * √(0.1476/800)

CI = 0.82 ± 1.96 * √0.0001845

CI ≈ 0.82 ± 1.96 * 0.01358

CI ≈ 0.82 ± 0.0266

The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.

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Answer:

16-11

Step-by-step explanation:

Answer:

2x + 1 = 15

Step-by-step explanation:

Answer:

D or 2x+1

Step-by-step explanation:

first we have to distribute the 7 to the 2x+1

14x+7-2(6x+3)=15

now distribute the -2

14x+7-12x-6=15

combine like terms on the left side

2x+1=15

your answer would be D

hope this helps!

Answer:

66528 km

Step-by-step explanation:

1 sec = 3*105

60 sec = 1 min = 3*60*105 km

3.25 min-?

3 .25×60×105

The distance of Mercury from sun will be 585,000,000 km.

It is given that it takes 3.25 minutes to light to reach from sun to mercury.

If speed of light is 3 ×  \(10^{5}\) km/sec , then calculate the distance from sun to mercury.

What will be the value of (2 × \(x^{2}\) ) ÷ 2 ?

The value will be  \(x^{2}\) .

Distance travelled by light in 1 seconds = 3 ×  \(10^{5}\) km

∵ 1 minute = 60 seconds

⇒  Distance travelled by light in 1 minute will be ;

   = 60 × 3 ×  \(10^{5}\) km

⇒ Distance travelled by light in 3.25 minutes will be ;

   = 3.25 × 60 × 3 ×  \(10^{5}\) km

   = 585,000,000 km

Thus , distance of Mercury from sun will be 585,000,000 km.

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well, is simply $400 plus 5% of $5000

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 5000}}{\left( \cfrac{5}{100} \right)5000}\implies 250\hspace{5em}\underset{ \textit{total earnings} }{\stackrel{400~~ + ~~250 }{\text{\LARGE 650}}}\)

Answer:

$650

Step-by-step explanation:

5% of 5000 is 250. 250 + 400 = 650.

You would have earned $650 last week.

Answer:

20 years

Step-by-step explanation:

let the present age of father=x

\(\frac{x}{15} =\frac{10}{3} \\x=\frac{10}{3} \times 15=50 \\\)

present age of father=50 years

let after y years ages are in the ratio 2:1

\(\frac{50+y}{15+y} =\frac{2}{1}\)

50+y=2(15+y)

50+y=30+2y

50-30=2y-y

20=y

Answer:

the answer would be 9 + i

Step-by-step explanation:

Answer:

the first option

Step-by-step explanation:

\( \cos(28) = \frac{11}{x} \\ x = \frac{11}{ \cos(28) } = 12.45 = 12.5\)

9514 1404 393

Answer:

  A.  (4, 12)

Step-by-step explanation:

Adding the second equation to twice the first will eliminate y.

  2(10x +2y) +(3x -4y) = 2(64) +(-36)

  23x = 92 . . . . . . . . simplify

  x = 4 . . . . . . . . . divide by 23

This value matches choice A: (4, 12).

Answer:

\(k=\frac{-cp+4r}{p}\)

Step-by-step explanation:

\(r=p/4(c+k)\)

\(\frac{r}{p/4} =c+k\)

\(\frac{r}{p/4} -c=k\)

\(-cp+4r=kp\)

\(\frac{-cp+4r}{p} =k\)

Given:

The graph of a line.

To find:

The equation for the given line.

Solution:

From the given graph, it is clear that the line passes through the points (0,-5) and (5,0). So, the equation of the line is:

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

\(y-(-5)=\dfrac{0-(-5)}{5-0}(x-0)\)

\(y+5=\dfrac{5}{5}(x)\)

\(y+5=x\)

Subtract 5 from both sides.

\(y+5-5=x-5\)

\(y=x-5\)

Therefore, the equation of the given line is \(y=x-5\).

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

The length of ET and the length of RT to the nearest tenth will be 268.3 units and 198.7 units, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

RECT is a square (not drawn to scale).

RA = 13² - 3x - 3  

AC = x(x + 2)

The diagonals of the square will be RC and ET. And "A" is the intersection point. Then the equation is given as,

RA = AC

13² - 3x - 3 = x(x + 2)

169 - 3x - 3 = x² + 2x

x² + 5x - 166 = 0

x = [- 5 ± √(5² - 4 × 1 × (-166))] / (2 × 1)

x = 10.62, -15.62

Then the length of AC is given as,

AC = 10.62 (10.62 + 2)

AC = 134.13 units

The diagonals of the square are congruent. Then we have

ET = RC

ET = 2 AC

ET = 2 x 134.13

ET = 268.3 units

Then the length RT is given as,

RT = ET / √2

RT = 198.7 units

The length of ET and the length of RT to the nearest tenth will be 268.3 units and 198.7 units, respectively.

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Answer:150?

Step-by-step explanation: