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3 years ago

Factor: 42x + 14 * Please help me with this question

Mathematics

1 answer:

Deffense [45]3 years ago

8 0

Answer:

x = 0.3333333333

Step-by-step explanation:

Simplifying

42x = 14

Solving

42x = 14

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '42'.

x = 0.3333333333

Simplifying

x = 0.3333333333

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A polling organization announces that the proportion of American voters who favor congressional term limits is 64%, with a 95% c

EastWind [94]

Answer:

Hence when C.I. is 80% then Margin of error will be 1.9591%

Step-by-step explanation:

Given:

1st Margin of error(MOE)=3%

1st C.I.=95%

2nd C.I.=80%

To Find:

MOE at 80%

Solution:

The proportion is 64 % i.e. is constant for both MOE

Proportion is given by (P),

P=x/n

Where x= favors congressional terms

n= total voters or sampled voters.

There values are same or constant.

i.e standard deviation is also constant

Now Formula for MOE is given by

$MOE=Z*[Standard devation/Sqrt(n)]$

here Z is value for confidence interval

MOE is directly proportional to the Z-value

$MOE=K*Z-value$ ... where k is proportionality constant.

$MOE/Z-value$ ....ratio is constant

So , for 95 % Z=1.96 and for 80% Z=1.28

$MOE(1st)/(Z-value 1st)=MOE(2nd)/(Z-value 2nd)$

$3/1.96=MOE(2nd)/1.28$

$MOE(2nd)=(3/1.96)*1.28$

$MOE(2nd)=1.5306*1.28$

$=1.9591$ %

5 0

3 years ago

Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone. Jim also sells new drones for 15% mo

adell [148]

The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x

He sells used drones at 70% of the price (x).

So, the selling price of a used drone is:

$\mathbf{Used = 70\% \times x}$

Express percentage as decimal

$\mathbf{Used = 0.7 \times x}$

$\mathbf{Used = 0.7x}$

Also, he sells new drones at 15% more of the price (x).

So, the selling price of a new drone is:

$\mathbf{New= (1 + 15\%) \times x}$

Express percentage as decimal

$\mathbf{New= (1 + 0.15) \times x}$

$\mathbf{New= 1.15 \times x}$

$\mathbf{New= 1.15x}$

The amount saved is the difference between the prices of the drones.

So, we have:

$\mathbf{Saved =New - Old}$

This gives

$\mathbf{Saved =1.15x- 0.7x}$

Subtract

$\mathbf{Saved =0.45x}$

Express as a function

$\mathbf{f(x) = 0.45x}$

Hence, the function for the amount saved is f(x) = 0.45x

Read more about proportions at:

brainly.com/question/13114933

7 0

2 years ago

Use the graph to determine which statement describes f(x)

djverab [1.8K]

Answer:

f(x) does not have an inverse function, because its graph fails the horizontal line test. ⇒ A

Step-by-step explanation:

The vertical line test is used to show that the graph represents a

function or not

If the vertical line crosses the graph in more than one point, then the graph does not represent a function

If the vertical line crosses the graph in only one point in different positions, then the graph represents a function

The horizontal line test is used to show that the function has an

inverse or not

If the horizontal line crosses the graph of a function in more than one point, then the function has no inverse

If the horizontal line crosses the graph of a function in only one point in different positions, then the function has an inverse

Let us look at the given graph

→ The graph represents a parabola, which represents the function f(x)

∵ Any horizontal line drawn will cross the graph in more than one point

∴ f(x) has no inverse

∴ f(x) does not have an inverse function, because its graph fails the

horizontal line test.

6 0

3 years ago

Help me plzzzzzzzzzzzz will make brainliest

Dominik [7]

Count the numbers between 0 and 5: 84

Count total numbers: 150

Percent of elderly in table:

84 / 150 = 0.56 = 56%

Count the number of Boxes that have all three numbers higher than 5: 4

total number of boxes: 50

Probability it will take at least 4 patients: 4/50 = 0.08 = 8%

Count boxes with 2 numbers 5 or under: 17

Probability: 17/50 = 0.34 = 34%

6 0

4 years ago

What is the GCF of 20, 36 and 48

nlexa [21]

20= 1,2,4,5,10,20
36=1,2,3,4,6,9,12,18,36
48=1,2,3,4,6,8,12,16,24,48

6 0

3 years ago