Solve the following system of equations graphically on the set of axes below.
y= 2x-2
y= -x+7

Answer:

1. 2x² - 8x - 7

2. x³+ x + 30

Step-by-step explanation:

[tex]2 {x}^{2} - 9x - 2 +x - 5[/tex]

[tex]2 {x}^{2} - 8x - 7[/tex]

2x² has no other like terms to add or substract with so it stays as is.

(-9x) + x = -8

(-2) - 5 = -7

or

(-2) - (-5) = 3

Watch out for the ones on top. I'm a bit confused about them but those ones are your possible options.

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[tex] {x}^{3} + 27 + x + 3[/tex]

[tex] {x}^{3} + x + 30[/tex]

x³ stays as is and so does x.

27 + 3 = 30

Answer:

$105.45

Step-by-step explanation:

$7.40 x 14.25 = $105.45

She earns $105.45 after working for 14.25 hours.

Answer:

4x + 6

Step-by-step explanation:

If i remember correctly, two minuses make a positive, so -(-6) would turn into +6. I dont think that you can add a number with a variable to a regualar number so the answer is as simplified as it can get. If that one is wrong, try 10x. Hope this helps!

Answer:

it is 2/1

Step-by-step explanation:

Answer:

27 days

Step-by-step explanation:

A alone, rate per day = 1/36

A and B together, rate per day = 1 / 20

Total Workdone for 5 days :

1/ 20 * 5 = 5 / 20 = 1/4

Fraction of work left :

1 - 1/4 = 3/4

3 / 4 * 36 /1

= (3 * 36) / 4

= 108 / 4

= 27 days

Answer:

4.5

Step-by-step explanation:

From the file, we see that;

Horizontal distance from bottom of ladder to side of house = 2

Length of ladder leaning against side of the house = 4 m.

Now we want to find the distance from the top of the ladder to the ground which we can call d.

Thus we can find it from pythagoras theorem.

d = √(2² + 4²)

d = √(4 + 16)

d = √20

d = 4.47

To the nearest tenth gives;

d = 4.5

Answer:

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D =40\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle A = \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D= \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle D =40\degree [/tex]

Answer:

-1.19164 x 10^8

Step-by-step explanation:

Step-by-step explanation:

Given

diameter (d) = 9 ft

radius (r) = 9/2 = 4.5 ft

Area of the circle

= πr²

= 3.14 * ( 4.5) ²

= 3.14 * 20.25

= 63.585

= 63.59 ft

Hope it will help :)

The number of people who likes to swim than hike is given by the equation A = 2 people

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It demonstrates that the expressions on the left and right sides are connected in the same way.

An equation has components like as coefficients, variables, operators, constants, terms, expressions, and the equal to sign. The "=" sign and terms on both sides are required when generating an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of people who likes to swim be s= 4 people

Let the number of people who likes to hike be h = 2 people

Let the number of people who likes to bike be b = 3 people

Now , the equation will be

The number of people who likes to swim than hike A = number of people who likes to swim - number of people who likes to hike

The number of people who likes to swim than hike A = s - h

The number of people who likes to swim than hike A = 4 - 2

The number of people who likes to swim than hike A = 2 people

Hence , the number of people who likes to swim than hike is A = 2 people

To learn more about equations click :

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Answer:

x = 40°

Step-by-step explanation:

angle A is a vertical angle with 60 so it's 60

60+80 = 140

180-140 = 40

Answer:

[tex]\boxed{\tt x=40^{\circ}}[/tex]

Step-by-step explanation:

∠x, ∠BAC, and ∠CAF form a straight line.

*Sum of angles that are formed on a straight line is equal to 180°.*

[tex]\tt \angle x+\angle BAC+\angle CAF=180^{\circ}[/tex]

[tex]\tt x+\angle BAC+\angle CAF=180^{\circ}[/tex]

[tex]\tt x+80^{\circ}+\angle 60^{\circ}=180^{\circ}[/tex]

Add, 80°+60°=140°

[tex]\tt x+140^{\circ}=180^{\circ}[/tex]

Subtract 140 from both sides:

[tex]\tt x+140^{\circ}-140^{\circ}=180^{\circ}-140^{\circ}[/tex]

[tex]\tt x=40^{\circ}[/tex]

_____________________________

Answer:

Could you please repeat the question?

Answer:

Answer:

Step-by-step explanation:

What help!

Thanks for free points!

Have a nice day!

Answer:

z+5 z+2 Z i think

Step-by-step explanation:

the lenght is longer to shorter

Answer:

angle # > angle * > angle $

Step-by-step explanation:

Since z + 5 > z+ 1 > z

So, angle # > angle * > angle $ (Angle opposite to greater side is greater and opposite to smallest side is smallest)

Answer:

its c

Step-by-step explanation:

i took the test and got 100

Answer:

Step-by-step explanation:

Use the formula x-x1/x1-x2 = y-y1/y1-y2

Answer:

96

Step-by-step explanation:

Total area is 12*8=96 square feet

Each tile is 1 square foot

The required tiles are therefore 96/1=96

Answer:

5 is the factor of 10. 5% of 10

Answer:

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Identity:

An identity is an equality which is true for all values of a variable in the equality.

(a + b)³ = a³+ b³+ 3ab(a + b)

In an identity the right hand side expression is called expanded form of the left hand side expression.

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Solution:

(i) (2x + 1)³

Using identity

(a + b)³ = a³+ b³+ 3ab(a + b)

(2x + 1)³

= (2x)³ + 1³ + (3×2x×1)(2x + 1)

= 8x³+ 1 + 6x(2x + 1)

= 8x³ + 1 + 12x² + 6x

(ii) (2a – 3b)³

Using identity,

(a – b)³ = a³–b³ – 3ab(a – b)

(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)

=8a³–27b³–18ab(2a –3b)

= 8a³–27b³–36a²b + 54ab²

(iii) [3x/2  + 1]³

Using identity,

(a + b)³ = a³+ b³+ 3ab(a + b)

[3x/2 +1]³

=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)

=27x³/8+1+9/2x×(3x/2+1)

= 27x³/8 + 1 + 27/4 x² + 9/2x

= (27/8)x³ + (27/4) x² + 9/2 x + 1

(iv) [x–2/3 y]³

Using identity,

(a - b)³=a³-b³-3ab(a-b)

(X+ 2/3y)³

= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)

= x³– 8y³/27–2xy(x – 2/3 y)

= x³– (8/27)y³–2x²y+ 4/3xy²

=========================================================

Hope this will help you....

Step-by-step explanation:

Answer:

570.50

Step-by-step explanation:

I think it's the correct answer maybe it is maybe it's not

Paul has acquired a car loan of amount $20,538 and is paying off the loan amount in 36 months.  

This means that Paul will be paying $570.50 every month till the completion of 36 months.

The given parameters for the calculation of the monthly installment:

Calculation of the monthly amount of Paul's loan:

[tex]\begin{aligned}\text{Monthly installment of loan}= \frac{\text{Total Amount of Loan Acquires}}{ \text{Total Time taken to Repay off the Loan}} \end{aligned}.[/tex]

[tex]\begin{aligned}\text{Monthly Installment of Loan}= \frac{\$20,538}{36}\end{aligned}[/tex]

[tex]\begin{aligned}\text{Monthly Installment of Loan}=\$570.50\end{aligned}[/tex]

Therefore, the monthly installment of paul will be $57.50.

To know more about the calculation of installment, refer to the link below:

https://brainly.com/question/84351

Answer:

Done :)

Step-by-step explanation:

Best of luck!

Answer:

4 grams

Step-by-step explanation:

Find how many grams of sugar are in each mixture:

10(0.15)

= 1.5

25(0.1)

= 2.5

Add these together:

1.5 + 2.5 = 4

So, the mixture contains 4 grams of sugar

Answer:

[tex]6 {}^{2} = 36 [/tex]

[tex]x = 12[/tex]

[tex]9 \times 12 = 108[/tex]

[tex]108 \times 36 = 3888[/tex]

Answer:

9 metros

Step-by-step explanation:

Da pergunta acima

Fator de escala =

Medida correspondente: Representação do objeto

= 1: 200cm

Conseqüentemente:

1 cm = 200 cm

4,5 cm = x cm

x cm = 4,5 × 200 cm

x cm = 900 cm

O comprimento real deste lado do triângulo (hipotenusa) = 900cm

Pediram-nos para converter para metros

100cm = 1 m

900cm = xm

Multiplicação cruzada

100 cm × xm = 900 cm × 1 m

xm = 900 cm × 1 m / 100cm

xm = 9m

O comprimento real deste lado do triângulo (hipotenusa) em metros = 9 metros

Answer:

ΔABD ≅ ΔACD by SAS, therefore;

[tex]\overline {BD} \cong \overline {CA}[/tex] by CPCTC

Step-by-step explanation:

The two column proof is presented as follows;

Statement [tex]{}[/tex]                   Reason

ABCD is a trapezoid [tex]{}[/tex]  Given

[tex]\overline {BA} \cong \overline {CD}[/tex]  [tex]{}[/tex]                   Given

[tex]\overline {BC} \parallel \overline {AD}[/tex]   [tex]{}[/tex]                   Definition of a trapezoid

ABCD is an isosceles trapezoid  [tex]{}[/tex]    Left and right leg are equal

∠BAD ≅ ∠CDA  [tex]{}[/tex]          Base angle of an isosceles trapezoid are congruent

[tex]\overline {AD} \cong \overline {AD}[/tex]   [tex]{}[/tex]                  Reflexive property

ΔABD ≅ ΔACD   [tex]{}[/tex]         By SAS rule of congruency

[tex]\overline {BD} \cong \overline {CA}[/tex]   [tex]{}[/tex]                  CPCTC

CPCTC; Congruent Parts of Congruent Triangles are Congruent

SAS; Side Angle Side rule of congruency

Answer:

Step-by-step explanation:

just did it

Answer:

[tex]y = 6x - 17 \\ y = - 4x + 23 \\ then \\ 6 x - 17 = - 4x + 23 \\ 10x = 40 \\ x = 4 \\ y = 7[/tex]

Answer:The equation would be 3n+1 apples.

Step-by-step explanation: