Tara is saving for an overseas trip. Her taxable income is usually about $20000. She estimates that she will need $5000 for the trip, so she is going to do some extra work to raise the money. How much extra will Tara need to earn in order to save the extra $5000 after tax?

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

y = 2x² + 1 2x + 14

Move the constant  (14) to the left side

y - 14 = 2x² + 12x

Now factor out 'a' , the coefficient  of  x² term

y - 14= 2(x² + 6x)

Divide the coefficient  of 'x' by 2 ⇒ 6/2 = 3

Find the square of '3' and add it to x² + 6x   ⇒ x² + 6x + 9

Multiply the square of 3 and add it to y - 14; 9*2 = 18

y- 14  = 2(x² + 6x + 9)

y  - 14 + 18 = 2(x² + 6x + 9)

y + 4 = 2(x² + 6x +9)

y + 4 = 2(x + 3)²

y = 2(x + 3)² - 4

Vertex ( -3 , -4)

Answer:

figure 1, 2 respectively

62.5 Answer

Answer:

-2/5 =x

Step-by-step explanation:

2/3 ( x-2) = 4x

Multiply each side by 3/2

3/2 * 2/3 (x-2) = 3/2 *4x

x-2 = 6x

Subtract x from each side

x-2-x = 6x-x

-2 = 5x

Divide each side by 5

-2/5 = 5x/5

-2/5 =x

x=−  2/5=−0.4 is the answer please mark brainliest

Answer:

138.6 miles

Step-by-step explanation:

205.6 - 67 = 138.6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Since you didn't list the statements, I'll just list some true statements.

-------------------------------------

There are 17 students in this class.

Majority of students voted for a hamster.

Snake was the least voted for.

Answer:

$18.73

Step-by-step explanation:

$16.55 + $2.18

(sorry if I'm wrong)

Answer:

57

Step-by-step explanation:

4.5 × 2 = 8.10

8.10 x 5 = 40.50

2320 ÷ 40.50

Answer:

a= 3/11

b = 2/11

Step-by-step explanation:

a(1) + b(4) = 1

a + 4b = 1

a(3) + b(1) = 1

3a + b = 1

b = 1-3a

a + 4(1-3a) = 1

a+ 4-12a = 1

-11a = -3

a = 3/11

b = 1-3(3/11)

b= 2/11

The value of a and b are 3/11 and 2/11 respectively.

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given that the straight line ax+by=1 passes through the points (1,4)and (3,1).

Thus, the equation of the straight line passing through the point ( 3,1 )

a(3) + b(1) = 1

3a + b = 1

b = 1-3a

Thus, the equation of the straight line passing through the point(1,4)

a(1) + b(4) = 1

a + 4b = 1

Now substitute the value of b;

a + 4(1-3a) = 1

a+ 4-12a = 1

-11a = -3

a = 3/11

Then b = 1-3(3/11)

b= 2/11

Hence, the value of a and b are 3/11 and 2/11 respectively.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Answer:

52 i think

Step-by-step explanation:

The question doesn't really say what to do, i say 52 because of the pattern

The required sum of the arithmetic progression is 441.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
45 + 46 + 47 . . . . . . 54
About sequence is an arithmetic sequence with,
First term a = 45
common difference d = 1
last term l = 54
Number of terms = 45 - 54 = 9

The required sum of the arithmetic progression can be given as,
s = n / 2 * ( 2a + (n - 1) d )
s = 9 / 2 * (2 * 45 + 8 * 1)
s = 9 / 2 * (98)
s = 9 *49
s = 441

Thus, the required sum of the arithmetic progression is 441.

Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ2

Answer: 2.8 hours

Step-by-step explanation:

Train A: time= t, v=45mi/hr, d= d

Train B: time t, v= 55mi/hr, d=280-d

Distance = v times t (d=vt)

t = d/v (time for both trains is the same, so t=t)

Train A: t=d/45

Train B: t=(280-d)/55

d/45 = (280-d)/55 (cross multiplication)

55d = 15400-45d

55d+45d = 15400

100d = 15400

d = 154 miles (280miles - 154miles = 126 miles)

Train A travel 154 mi and train B travel 126 mi

Train A travel 154 miles in 2.8 hrs.

Train B travel 126 miles in 2.8 hrs.

154 miles at a rate of 55mi/h = 2.8 hours and

126 miles at a rate of 45mi/h = 2.8 hr.

Estimation and precision are used when the actual value cannot be easily determined or calculated.

Given that, the length is to be measured to the nearest [tex]\frac 14\ inch[/tex], we have the following observations

So, we have:

[tex]L_1 = 2\frac 14[/tex] --- the length of the abdomen

[tex]L_2 = 4 - 2\frac 14[/tex]

Express as improper fraction

[tex]L_2 = 4 - \frac{9}{4}[/tex]

Take LCM

[tex]L_2 = \frac{16 - 9}{4}[/tex]

[tex]L_2 = \frac{7}{4}[/tex]

Express as proper fraction

[tex]L_2 = 1\frac{3}{4}[/tex] --- the length of the thorax

The number of times (n) the abdomen is longer than the thorax is calculated as follows:

[tex]n = L_1 \div L_2[/tex]

So, we have:

[tex]n = 2\frac 14 \div 1\frac 34[/tex]

Express as improper fractions

[tex]n = \frac 94 \div \frac 74[/tex]

Rewrite as:

[tex]n = \frac 94 \times \frac 47[/tex]

[tex]n = \frac 97[/tex]

Express as proper fractions

[tex]n = 1\frac 27[/tex]

Hence, the abdomen is [tex]1\frac 27[/tex] times longer than the thorax

Read more about estimation and precision at:

https://brainly.com/question/509148

Answer: (1/4 + 1/8) x (2/3-5/6)

Step-by-step explanation:

The sum of 1/4 and 1/8 times the difference between 2/3 and 5/6

Answer:

0.191

Step-by-step explanation:

S = Sofia's batting average

J = Joud's batting average

S=?

J=0.169

S = 0.022 + 0.169

S = 0.191

Answer:

0.191

Step-by-step explanation:

S = Sofia's batting average

J = Joud's batting average

S=?

J=0.169

S = 0.022 + 0.169

S = 0.191

Hope this helps <3

Ad:

Hi guys plz plz plz thank my answer to this question and i am really trying to win this brainliy competition. i have to get at the min 15 to catch up! plz help and thank and 5 star it but anyway have a great day and stay safe!

https://brainly.com/question/24385647

Answer:

It's $32.39.

Step-by-step explanation:

35.99 - 35.99*10% =

=35.99 - 35.99*0.1

=35.99 - 3.599

=32.391

32.391 is close to 32.39 so we will round it to that number.

The answer is $32.39.

Answer:

a+b=a

or, 3+b=3 (a=3)

or, b= 3-3

or, b=0

Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42? … I hope it helps you

Answer:

Least to greatest: 8.76,11.73,11.9,15.9

Greatest to least: 15.9,11.9,11.73,8.76

Step-by-step explanation:

plz give me brainliest

Answer:

Step-by-step explanation:

Use the number on the left of the decimal first. Smallest to largest gives

8

11

11

15

8 and 15 have their positions fixed. Where they are now, that is where they will stay.

So let's mark them

8.76

11

11

15,8

Now all we need do is figure out the 11s.

11.90

11.73

I added the 0 so you could think about money. You see a great looking scarf. Which would you rather pay: 11.73 or 11.90.  Never mind that you really like it and the difference isn't worth squabbling about. Which is better to pay? You should answer 11.73. It's smaller than 11.90. So what's the answer

8.76

11.73

11.90

15.9

Answer:

b = 15

Step-by-step explanation:

2 (b - 8) + -11 = 3

2b - 16 + -11 = 3

2b - 16 + -11 = 3

2b - 27 = 3

2b = 3 + 27

2b = 30

b = 30 ÷ 2

b = 15

Answer:

[tex] = > 2(b - 8) + - 11 = 3[/tex]

[tex] = > 2b - 16 + - 11 = 3[/tex]

[tex] = > 2b - 27= 3[/tex]

[tex] = > 2b = 27 + 3[/tex]

[tex] = > 2b = 30[/tex]

[tex] = > b = \frac{30}{2} [/tex]

[tex]=>b=15[/tex]

Hi ;-)

f(x) = ²/₃x + 3 ∧ f(x) = -5

²/₃x + 3 = -5

²/₃x = -5 - 3

²/₃x = -8  / * ³/₂

x = -12

Answer:

n=1

Step-by-step explanation:

(√5^5)^5 =5^n

5^1/5×5=5^n

1/5×5=n

5/5=n

n=1

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

(1, 13)

Step-by-step explanation:

it is above in the photo.

Refer to the attached diagram for further a visual explanation. As per the given information, segments (AB) and (AD) are congruent. Moreover, segments (AC) and (AE) are also congreunt. One is also given that angles (<BAD) and (<EAC) are congruent. However, in order to prove the triangles (ABC) and (ADE) are congruent (using side-angle-side) congruence theorem, one needs to show that angles (<BAC) and (<DAE) are congruent. An easy way to do so is to write out angles (<BAC) and (<DAE) as the sum of two smaller angles:

<BAC = <BAD + <DAC

<DAE = <DAC + <EAC

Both angles share angle (DAC) in common, since angles (<EAC) and (BAD) are congruent, angles (<BAC) and (<DAE) must also be congruent.

Therefore triangles (ABC) and (ADE) are congruent by side-angle-side, thus sides (BC) and (DE) must also be congruent.

In summary:

AB = AD                                               Given

AC = AE                                               Given

<BAD = <EAC                                      Given

<DAC = <DAC                                     Reflexive

<BAC = <BAD + <DAC                       Parts-Whole Postulate

<DAE = <EAC + < DAC                       Parts-Whole Postulate

<BAC = <DAE                                      Transitivity

ABC = ADE                                          Side-Angle-Side

BC = DE                                               Corresponding parts of congruent triangles are congruent

Answer:

m∠A = 65°

Step-by-step explanation:

Because ∠CBD is congruent to ∠DBE, we can set the degree values equal to each other.

So

CBD has x + 10, DBE has 60. So:

x + 10 = 60

Subtract 10 from both sides.

x = 50

Check:

50 + 10 = 60

60 = 60

m∠A = (x + 5)° = (60 + 5)° = 65°

The measure of m<A if angle CBD = angle DBE is 55°

The point where two lines meet is known as an angle.

We are given the following from the diagram:

m<CBD = x +10

m<DBE = 60degrees

Since  angle CBD = angle DBE, then:

x + 10 = 60

x = 60 - 10

x = 50degrees

Get the angle A.

From the diagram, angle A = (x+5)°

m<A = 50 + 5

m<A = 55°

Hence the measure of m<A is 55°

Learn more here: https://brainly.com/question/20113464

Answer:

If you don't have a protractor handy, you can determine the size of an angle using the basic geometric principles of triangles. You'll need a scientific calculator to solve the equations. Most smartphones are equipped with them, but you can also download a free app or access a free calculator online.

Step-by-step explanation:

[tex]mid \: point \: of \: x = \frac{x1 + x2}{2} \\ x = \frac{8 + - 12}{2} \\ = \frac{ - 4}{2} = - 2 \\ mid \: pont \: of \: y = \frac{y1 + y2}{2} \\ y = \frac{ - 5 + - 1}{2} \\ = \frac{ - 6}{2} \\ = - 3 \\ the \: coordinates =( xy) = ( - 2 \: - 3) \\ thank \: you[/tex]

I believe this is the expression:

[tex] \displaystyle \large \boxed{ - 8 {y}^{2} }[/tex]

Since we want to evaluate it when y = -2, simply substitute y = -2 in the expression.

[tex] \displaystyle \large{ - 8 {( - 2)}^{2} }[/tex]

Any negative number squared will result in positive, refer below:

[tex] \displaystyle \large{ {( - a)}^{2} = {a}^{2} } \\ \displaystyle \large{ {( - 2)}^{2} = {2}^{2} } \longrightarrow \boxed{4} \\ [/tex]

Hence,

[tex] \displaystyle \large{ - 8(4) = - 8 \times 4} \\ \displaystyle \large \boxed{ -32}[/tex]

Answer:

-32

Step-by-step explanation:

Replace the variable y with -2 in the expression giving -8(-2)^2

Then, square -2 giving us (positive) 4

Lastly, multiply -8 with 4 and get -32 as our answer

(Hopefully this helped you! Feel free to ask again if you need more help. Tell me if the solution is unclear to you)

Answer:

18

Step-by-step explanation:

6 ÷ 1⁄3 = 18

Answer:

pleas mark me has branlist

Answer: x = 3

Step-by-step explanation:

[tex]2x-7=\frac{1}{3}x-2\\\\6x-21=x-6\\\\5x-21=-6\\\\5x=15\\\\x=3[/tex]

Answer:

the answer is c because if you moved it 180 degrees and reflecting over the x-axis then it would move to the same box it was in from the beginning

Answer:

b

Step-by-step explanation: