Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel’s savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin’s account, at the same time, is modeled by function k.
j(x) = 25 + 3x
k(x) = 15 + 2x

Which function correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year?

A.
(j − k)(x) = 40 + 5x
B.
(j − k)(x) = 40 + x
C.
(j − k)(x) = 10 + 5x
D.
(j − k)(x) = 10 + x

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

Answer:

10

Step-by-step explanation:

E={2,3,5,7, 11, 13, 17, 19, 23, 29}

therefore,

n(E)={10}

Answer:

10 if I recall correctly

Answer:

The set [tex]S[/tex] of non-negative integers in the inequality [tex]2x < 4[/tex] is

[tex]S = \{0, 1\}[/tex]

Step-by-step explanation:

The non-negative integers are given as [tex]\mathbb{Z}_{\ge 0} = \{ 0, 1, 2, \ldots \}[/tex]

For the inequality [tex]2x < 4[/tex], we have

[tex]2x < 4 \implies x < \dfrac{4}{2} \implies x < 2[/tex]

Therefore,

[tex]x\in \mathbb{R}:x\in(\infty, 2)[/tex]

Note: 2 is not included

The integers are

[tex]\ldots -2, -1, 0, 1[/tex]

And the non-negative integers are

[tex]0, 1[/tex]

Answer:

1) HL=LJ=63

(ZJ)²=16²+63²

(ZJ)²=256+3969

ZJ=√4425

ZJ= 65

2)HJ=HL+LJ

= 63+63

HJ=126

3) XC=XA=8

4) BE=AB/2=20/2=10

OAmalOHopeO

Answer:

2x+3x=90

or ,5x=90

or,x=90/5

X=18

Answer:

90/5=18 degrees

Step-by-step explanation:

i think its b Step-by-step explanation:

[tex] \frac{5x}{ \frac{5x}{3} } = \frac{15x}{5x} = 3[/tex]

Answer:

5.6

Step-by-step explanation:

First five prime numbers:

[tex]2,3,5,7,11[/tex]

Add them up:

[tex]2+3+5+7+11=28[/tex]

Calculate the mean:

[tex]\frac{28}{5} =5.6[/tex]

Answer:

8.5

Step-by-step explanation:

We need to find the mean of first five prime numbers . We know that the first five prime numbers are ,

[tex]\sf\longrightarrow First \ 5 \ Prime\ numbers \ = 2, 3, 5 ,7,11 [/tex]

We know that mean is ,

[tex]\sf\longrightarrow Mean =\dfrac{Sum \ of \ observations}{Number\ of\ observations } [/tex]

Substitute the respective values ,

[tex]\sf\longrightarrow Mean =\dfrac{ 2+3+5+7}{2}[/tex]

Add the numbers in numerator ,

[tex]\sf\longrightarrow Mean =\dfrac{ 17}{2} [/tex]

Divide ,

[tex]\sf\longrightarrow\boxed{\blue{\sf Mean = 8.5 }} [/tex]

Hence the mean is 8.5

Answer:

Pam: $181

Amanda: $362

Julie: $452

Step-by-step explanation:

(What does Mike have to do with this problem?)

Let a = Amanda's pay

Let p = Pam's pay

Let j = Julie's pay

"Amanda made twice what Pam earned"

a = 2p

"Julie made $90 more than Amanda"

j = a + 90

j = 2p + 90

Pam earned p

Total salary

a + p + j = 2p + p + 2p + 90

Total salary

$995

2p + p + 2p + 90 = 995

5p = 905

p = 181

a = 2p = 2(181) = 362

j = 2p + 90 = 362 + 90 = 452

Answer:

Pam: $181

Amanda: $362

Julie: $452

Answer:

profit is 25%

Step-by-step explanation:

profit%=sp-cp/cp×100%

=350-280/280×100%

=0.25×100

=25%

Answer:

D

Step-by-step explanation:

The statement of congruency shows which vertices are corresponding.

Answer: D  

Answer:

Y = 9

Cause the Sin30 = 0.5

and 9² + x² = 18²

324 - 81 = x²

x² = 243

x = 9 √3

The answer becomes "D"

Answer:

f(-6) = -12

Step-by-step explanation:

If you immediately plug in x=-6 and solve it (x^2-36)/x+6, you will not get the right answer.

You need to first expand the perfect square on the numerator (x^2-36) into (x-6)(x+6).

With the perfect square expanded, notice how you have the term (x+6) on both the numerator and denominator. You can cancel out both terms, and you will be left with (x-6).

Now you can plug in x=-6, which will give you -12.

Answer:

read below vv

Step-by-step explanation:

d = 5.00 - 4.25

d = 0.75

Answer:

Julie will get back 0.75 in change.

Step-by-step explanation:

d=4.25

5.00-d => 5.00-4.25 = 0.75

Hope this answered your question!

Answer:

f) 60+x+30=180°

90+x=180°

x=180-90

x=90°

g) y+35+75=180°

y+110=180

y=180-110

y=70°

Answer:

Step-by-step explanation:

taking the inverse is essentially saying

x = (f(x) + 3)^2

root(x) - 3 = f(x) and -root(x) -3 = f(x)

(you have to take both the positive and negative roots)

plug in 49 for x and get 4 and -10.

The value of the inverse function, to the function f(x) = (x + 3)², at f(x) = 49, is; f⁻¹(49) = 4

The notation f⁻¹(x) represents the inverse of the function f(x). The inverse function, f⁻¹(x) undoes the the effect of the function f(x), meaning, that if y = f(x), then x = f⁻¹(y)

The value of f⁻¹(49) for the function, f(x) = (x + 3)² is the x-value, such that f(x) = 49, which can be obtained by solving the equation f(x) = (x + 3)², for x as follows;

Taking the square root of both sides of the equation, we get;

√(f(x)) = √((x + 3)²)

√(f(x)) = (x + 3)

Subtracting 3 from both sides, we get;

√(f(x)) - 3 = x + 3 - 3 = x

√(f(x)) - 3 = x

The above function is the inverse function, f⁻¹(x) that takes an output value, f(x), to produce the corresponding input value, x of the original function;

The inverse function, f⁻¹(x) = √(f(x)) - 3, takes the original output, f(x) to produce the original input x

When the output value is f(x) = 49 we get;

f⁻¹(49) = √(49) - 3 = ±7 - 3

Restricting the domain of the original function, f(x) to (x + 3) ≥ 0, or x ≥ -3, so that its inverse is also a function and produces only one value, we get;

f⁻¹(49) = 7 - 3 = 4

f⁻¹(49) = 4

Learn more on the inverse of a function here: https://brainly.com/question/1559611

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Time required for writing 2 pages = 1 day

So, time required for writing 1 pages

= 1 day/2

= ½ day

So, time required for writing 300 pages

= ½ day × 300

= (300/2) days

= 150 days

Answer:

150 days

Step-by-step explanation:

We can write a ratio to solve

2 pages    300 pages

----------- = ------------

1 day            x days

Using cross products

2x = 300

Divide by 2

2x/2 = 300/2

x = 150

150 days

3 rolls would cost $1.17.

There exists a direct proportion between two values when one exists as a multiple of the other.

In direct proportion, if one quantity exists increased or decreased then the other quantity increases or declines, respectively. But in indirect or inverse proportion, if one quantity increases then the different quantity decreases and vice-versa.

If 7 rolls of tape cost $2.73,

Then 1 roll of tape would cost $2.73/7 = $0.39

Now, the cost of 3 roll of tapes would be 0.39*3 = $1.17

Therefore, at same rate the 3 rolls of tape would cost $1.17.

To learn more about Direct Proportion refer to:

https://brainly.com/question/1266676

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Answer:

m,4+ a+b

Step-by-step explanation:

an exterior angle equals the sum of the 2 opposite interior angles

Answer:

35.2

Step-by-step explanation:

tan(58) = x/22

or, x = 22×tan(58)

or, x = 35.2 (rounded to the nearest tenth)

Answered by GAUTHMATH

Step-by-step explanation:

fng-mrxb-dop p.l.e.a.s.e join

Answer:

Amount cubic metres of gravel need = 1.5 cubic meter

Step-by-step explanation:

Given:

Parts

cement = 1 part

sand = 2 parts

gravel = 3 parts

Find:

Amount cubic metres of gravel need

Computation:

Amount cubic metres of gravel need = 3[Part of gravel / Total of all parts]

Amount cubic metres of gravel need = 3[3 / (1+2+3)]

Amount cubic metres of gravel need = 3[3 / 6]

Amount cubic metres of gravel need = 3[0.5]

Amount cubic metres of gravel need = 1.5 cubic meter

Answer:

The 2nd one is 3x+1

The 3rd answer is x+3

Step-by-step explanation:

Given g(x)=4x-1 and f(x)=x-2

Subtracting both

4x-1-(x-2)=4x-1-x+2=x(4-1)+(2-1)=3x+1

The next one is 3x+1-(2x-2)=3x+1-2x+2=x+3

Answer:

-7/5

Step-by-step explanation:

I think let me know

Answer:

7/-5  or -7/5

Step-by-step explanation:

This shall be quite an easy problem, I shall be doubting that this is high school, however, I am happy to aid :)

We shall begin by labeling the points given to us to prepare for inputting the values in the slope formula

(3,4).     (8,-3)

x1,y1     x2,y2

Slope Formula:

y1 - y2

x1 - x2

Inputting the values:

4 - (-3)

3 - 8

Solve:

7

-5

The slope of the line passing through the points (3,4) and (8,-3) shall be 7/-5 or -7/5 negatives shall go both ways of fractions

Answer:

5

Step-by-step explanation:

the absolute value of a number is its distance from zero on a number line. so the absolute value of 5 is 5.

Answer:

f(x) = 3.33x - 7

Step-by-step explanation:

We are suppposed to write the slope intercept form of the line . The slope intercept form of the line is ,

[tex]\rm\implies y = mx + c [/tex]

where ,

Here we can see that the line is passing through (0,-7) . Therefore ,

[tex]\rm\implies y- intercept = -7[/tex]

Also we can see that the line is passing through (2.1,0) . Therefore we can find the slope as ,

[tex]\rm\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\rm\implies Slope =\dfrac{ -7-0}{0-2.1}\\\\\rm\implies \bf Slope = 3.33 [/tex]

Using Slope Intercept Form :-

[tex]\rm\implies y = mx + c \\\\\rm\implies y = 3.33x + (-7) \\\\\rm\implies\underline{\boxed{\rm\blue{f(x) = 3.33x - 7 }}}[/tex]

Answer:

1st,2nd,3rd, and 5th option

Step-by-step explanation:

Let convert the intergers into radical numbers

[tex] \sqrt{7} > \sqrt{4} [/tex]

[tex] \sqrt{7} < \sqrt{49} [/tex]

[tex] \sqrt{7} < \sqrt{8} [/tex]

[tex] \sqrt{8 } < \sqrt{4} [/tex]

[tex] \sqrt{8} < \sqrt{64} [/tex]

As radical numbers approaches, positive infinity, the answer of the radical gets bigger. So using this explanation,

The first option, Second Option, Third Option, and Fifth Option are true.

Answer:

A, B, C, E

Step-by-step explanation:

Did on edg.  its right

Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

I get no solution also (the answer is imaginary).

Answer:

12 miles

Step-by-step explanation:

1/3 of an hour = 20 minutes = 4 miles

1 minute = 4/20 miles

60 minutes = 4/20 x 60 miles

                   = 4 x 3 miles

                   = 12 miles

60 minutes = 1 hour

=> 1 hour = 12 miles

Jacks unit rate is 12 miles/hr

Answer:

12

Step-by-step explanation:

There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round

4/0.333333333 = 12.000000001

The answer is obviously meant to be 12.

The other way is more sophisticated, but more accurate.

4/1 // 1/3               This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.

4/1 * 3/1 = 12

The first method is easier to understand. The second is more accurate and more useful for physics.