James if four times as old as Lucy.If x represent Lucy's age, how would you represent James age​

Answer:

Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored. Equation at the end of step 1 : x2 - 7x - 14 = 0. Step 2 : Parabola, Finding the Vertex: 2.1 Find the Vertex of y = x2-7x-14

Answer:

A link for a calculator that I use for ratios

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/ratios.php

Answer:

11.1 %

Step-by-step explanation:

2/18 = 11.1%

The percentage of the number decreased is 11.1%.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Initial number = 18

Final number = 16

The change in the value of the number.

= 18  - 16

= 2

The percentage decreased.

= (Change in the number / Initial number) x 100

= 2/18 x 100

= 200/18

= 11.11%

= 11.1 %

Thus,

The percentage decreased is 11.1%.

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Answer:

At least once a month you should check your personal information, including your email and phone number, to make sure those things are up to date. Also, you may want to change your mobile and online banking password every three to four months.

Answer: A.4

Step-by-step explanation:

Answer:

Cost function = 40a + 500

Cost of 90 articles = $4,100

Step-by-step explanation:

The fixed cost is $500 and it will.not change regardless of production level.

The Variable cost is $40 and increases by every additional unit produced.

Assume the number of articles produced is a.

Cost function would be:

Total cost = Variable cost * Number of articles + Fixed cost

TC = 40a + 500

Using this, the cost of 90 articles is:

= 40 * 90 + 500

= $4,100

Answer:

b and d are the answers!

Step-by-step explanation:

-20

Explanation:

( − 7   ^ 2  −  4 )  +  ( − 7   ^ 2  −  6  − 2 )

Eliminate the redundant parentheses, subtract the numbers which will get you, combine like terms, rearrange terms, then your solution is:

− 1 4 2 −6 −6

Figure that problem out then you will get -20.

Answer:

−14x^2 − 6x - 6

Step-by-step explanation:

(−7x 2 −4)+(−7x 2 −6x−2) should be written as (−7x^2 −4) + (−7x^2 −6x−2).  The " ^ " symbol denotes exponentiation.  7x^2 means "7 times the square of x."  We can immediately remove the parentheses, obtaining:

−7x^2 −4 −7x^2 − 6x − 2

Our next step is to combine like terms.  For example, -7x^2 appears twice, with the same (negative) sign; summing these up results in -14x^2.

Immediately after doing that, we have:

−14x^2 −4 − 6x − 2

and need to combine the constants -4 and -2:

−14x^2 −6 − 6x

Finally, we write these terms in descending powers of x:

−14x^2 − 6x - 6

Answer:

answers

Step-by-step explanation:

2 and 3rd

Answer:

(-3,6)

Step-by-step explanation:

As  graph shows x=-3 and y=6  

Answer:

-3 to +6 is the answer to the question

Answer:

3x + 15 = 9

3x = 9 - 15

3x = -6

x = -6/3

x = -2.

Answer:

yellow box

Step-by-step explanation:

Answer:

c or the orange option. m^2n/2

Step-by-step explanation:

i hope this helps :)

Answer:

A function is a relation that maps elements from one set (the domain, the set of the inputs) into elements from another set (the range, the set of the outputs). Such that each element of the domain can be mapped into only one element of the range.

Now let's analyze the given relations.

1)

Here we can see that the inputs are -3, -1, 1, and 2.

Then the domain (the set of the inputs) is:

D = {-3, -1, 1, 2}

And we can see that the outputs are 0, 2, and 5.

Then the range is:

R = {0, 2, 5}

We also can see that each input is being mapped into only one output, then this relation is a function.

2) In this case the inputs are -2, -3, and 5.

Then the domain is:

D = {-2, -3, 5}

And the outputs are 6, 7, 8

Then the range is:

R = {6, 7, 8}

And we can see that each input is mapped into only one output, then this relation is a function.

3) In this case we can see that the inputs are -4, -2, and 0

Then the domain is:

D = {-4, -2, 0}

And we can see that the outputs are -2, -1, 3, and 4.

Then the range is:

R = {-2, -1, 3, 4}

In this case, we can see that the input -4 is being mapped into two different outputs (3 and -1)

Then this relation is not a function.

Answer:

50%

Step-by-step explanation:

Its a deck and its suffled

Answer:

[tex]\frac{8}{52}[/tex] = 0.15384615384 = 15.38%

Step-by-step explanation:

There are 4 7s and 4 queens so

[tex]\frac{4}{52}[/tex] + [tex]\frac{4}{52}[/tex] = [tex]\frac{8}{52}[/tex]

Answer:

22

Step-by-step explanation:

PEMDAS stands for:

Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction

Simplify according to PEMDAS, from left to right

I will bold the parts that I will simplify for each step

8 + 3 x 6 - 12 ÷ 3 =

8 + 18 - 12 ÷ 3 =

8 + 18 - 4 =

26 - 4 =

22

The expression equals to 22

Answer:

see explanation

Step-by-step explanation:

Substitute n = 7 into f(n)

f(7) = 5 + 8(7 - 1) = 5 + 8(6) = 5 + 48 = 53

f(n) = 5 + 8(n - 1) represents the nth term of an arithmetic sequence

f(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

By comparison, then

a₁ = 5 and common difference d = 8

Answer:

D.18 millas

Step-by-step explanation:

dividimos  el 24 en cuatro partes que terminaria en 6 restamos 6-24 = 18 millas que seria el 75%

Answer: for number 4 the error is that they did -3 plus 5 which they got a +2 from. For question number 5 the correct answer is 18 and number 6 the answer is also 18.

Step-by-step explanation:

Answer:

1. they were suppose to multiply the 2 and the 5 first

2.B

3. 18

4.B

5.B

Answer:

$127.50

Step-by-step explanation:

15/100 = 0.15

0.15 x 150 = 22.5

150 - 22.5 = 127.5

Answer:

14.8592

Step-by-step explanation:

Answer:

The answer is 16.746667

Step-by-step explanation:

1) Simplify 3.14 × 16 to 50.24.

[tex]50.24 \div 3[/tex]

2) Simplify 50.24 ÷ 3 to 16.746667.

[tex]16.746667[/tex]

Therefor. the answer is 16.746667.

Answer:

y=(-7/2)x+3

Step-by-step explanation:

7x+2y-3=0

7x+2y=3

2y=-7x+3

y=(-7/2)x+3

Answer:

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )

2y = - 7x + 3 ( divide each term by 2 )

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form

Answer:

[tex]30ft[/tex]

Step-by-step explanation:

So, since the scale is 1:5, 1 ft is actually 5 feet.

[tex]6ft=6[/tex]×[tex]5. 6x5=30[/tex]

Answer:

a)

Verify is the corresponding sides have same ratio:

Since the ratios are same, the triangles are similar

b)

If one dimension is same, the base areas will make difference by the square of the scale factor:

Answer:

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

=

9

7

= 1.2857142857143

θ =

arctan( ΔY )

ΔX

= 52.125016348902°

ΔX = 49 – 21 = 28

ΔY = 63 – 27 = 36

Distance (d) = √ΔX2 + ΔY2 = √2080 = 45.607017003966

Equation of the line:

y = 1.2857142857143x – 3.5527136788005E-15

When x=0, y = -3.5527136788005E-15

When y=0, x = 2.7632217501782E-15

If 1 Point and the Slope are Known:0.75

Answer:

I believe the answer would be 32.64

Step-by-step explanation:

$24 x 36% = 8.64

8.64 + 24 = $32.64

Answer:

Well x would be 103° because it forms a line (180°) with the 77° but I have no idea what those arrows are asking...

Answer: (5a+1) (a+1)

Answer:

I believe the answer is (B).

Both are not independent, and the probability of A is 30/100.

While the probability for A|B is like 30/100(80/100) which does not equal 30/100.

I've been trying to figure out how to do it and stuff, and this seems the most reasonable answer. I'm taking it now. Goodluck

ED2021

The two events are not independent as the traffic is affected by the weather conditions.

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).

Let event A = heavy traffic and event B = bad weather.

P(A)=  25/30 and P(B)=25/30

Two events are said to be independent only when the change in one event affect the other event.

Here the two given events are not independent.

Band weathers such as heavy rainfall, snowfall etc. leads to failure of traffic management system and thereby causes heavy traffic. This is easily seen in all major urban cities.

Hence, the two events are not independent as the traffic is affected by the weather conditions.

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