Solve the system of equations.
5x - 7y = 58
y = -x + 2
х =
y =

Answer:

(7z-3)(z-5)

Step-by-step explanation:

7z^2-38z+15

(7z-3)(z-5)

Answer:

(z - 5)(7z - 3)

Step-by-step explanation:

Given

7z² - 38z + 15

Consider the product of the factors of the coefficient of the z² term and the constant term which sum to give the coefficient of the z- term

product = 7 × 15 = 105 and sum = - 38

The factors are - 35 and - 3

Use these factors to split the z- term

7z² - 35z - 3z + 15 ( factor the first/second and third/fourth terms )

= 7z(z - 5) - 3(z - 5) ← factor out (z - 5) from each term

= (z - 5)(7z - 3) ← in factored form

Answer:

$150.50.

Step-by-step explanation:

The full price of the stereo is 429.99 which is 100%, the sale is 35%.

100 - 35 = 65%

100% = 429.99

1% = 429.99 ÷ 100 = 4.2999

35% =4.2999 x 35 = 150.4996

Estimated to 150.50

Answer:

2

Step-by-step explanation:

[tex]\frac{(-2)(-3)(-4)}{-9 + (-3)}[/tex]

First, simplify the top and bottom separately:

[tex]\frac{-24}{-12}[/tex]

Then, just divide:

[tex]-24 / -12 = 2[/tex]

Answer: y-intercept is 3 1/3. slope is 7/9

Step-by-step explanation:

Answer:

1.1×10^-4

Step-by-step explanation:

we move the point from where to in between 1.1 and counts the number of numbers it has crossed..in this case it 4...which should be -4

Answer:

can i see the picture?

Answer:

approximately 684 employees

Step-by-step explanation:

So this is an exponential equation since there is a dividing decrease, not just subtracting. The standard equation is,

[tex]y = a(b)^{x} [/tex]. [tex]a[/tex] is initial value (860 employees) and [tex]b[/tex] is the change [tex]-8%[/tex] or [tex]0.92[/tex]. The [tex]x[/tex] would be the period of time, [tex]19[/tex]. This equation would be [tex]y = 860(0.92)^{19} [/tex].

After solving, the equation would become the following: [tex]y = 860(0.92)^{19} = 176.387242442≈176[/tex]. After subracting the number of lost employees from orginal employees ([tex]860-176=684[/tex]), we see that the company will have approximately 684 employees left after 19 years.

Answer:

Step-by-step explanation:

Answer:

y = n - 0.26n

y = 0.74n

Step-by-step explanation:

The equation that can be used to express the function above is given an Exponential Decrease function

Where:

y = a(1 - r)^t

Where

y = July sales

a = n = June sales

r = rate of decrease = 26% = 0.26

t = time in months = June to July = 1 month

t = 1

Hence, our equation =

y = n( 1 - 0.26)¹

y = n(1 - 0.26)

y = n - 0.26n

y = 0.74n

The equation that can be used to determine the sales in July is given as:

y = n - 0.26n

y = 0.74n

Answer:

UD = 20

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

The square of the tangent is equal to the product of the external part and the entire secant, that is

12² = 7.2(7.2 + CD)

144 = 7.2² + 7.2CD

144 = 51.84 + 7.2CD ( subtract 51.84 from both sides )

92.16 = 7.2CD ( divide both sides by CD )

12.8 = CD

Thus

UD = UC + CD = 7.2 + 12.8 = 20

Answer:

x = 12

Step-by-step explanation:

18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.

Using this 3:4 scale factor we can find the missing side x.

Solving for x :

[tex]\frac{3}{4}[/tex] × 16 = 12

x = 12

OR: Set up a proportion:

[tex]\frac{24}{16}[/tex] × [tex]\frac{18}{x}[/tex]

cross-multiply

16 × 18 = 288

24 × x = 24x

288 = 24x

x = 12

Answer:

it basically means that the order in how you multiply doesnt matter. so wether u type 5 x 4 or 4 x 5 in ur calculator, you'll get the same answer either way. this works for when you want to multiply and divide, but not when you wanna subtract or divide.

Step-by-step explanation:

its basically a property that says that if you wanna swap the numbers/variables that are on one side of this specific type of equation (multiplication and addition), you can!

Answer:

yooo

Step-by-step explanation:

the communitive property  is when you have the same number or same equation but just reverse it. For example, (5x+67) with the communitive property could be (67+5x). Its just the equation you are given but reversed and since they are the same numbers, you will get the same answer either way you do the problem, hope this helps you lol.

Based on the information given, it should be noted that the value of 1260 will therefore be £73.09.

From the information given, it was stated that £29 =500. Therefore, the equation to solve that of 1260 will go thus:

£29 =500

£1 = 500/29

£1 = 17.24

Therefore, 1260 will be:

= 1260/17.24

= £73.09

Learn more about equations on:

https://brainly.com/question/13763238

Answer: 8y^6x^6

Step-by-step explanation:

Volume = l*w*h so multiply all the variable by multiplying the numbers and adding the exponents so

2y^2*4x^4y=8y^3x^4

then 8y^3x^4*x^2y^3=8y^6x^6

Answer:

3.67

Step-by-step explanation:

They are vertical angles. Vertical angles are congruent to one another, so they are equal to one another

Answer:

5. find x= 32

6. find < C = 23

find c =

find a =

Sorry wish I could help more I need to learn more about this chapter in math.

Answer:

The smaller number is 0.6666... repeating, and the larger number is 1.3333... repeating.

Step-by-step explanation:

Answer:D

Step-by-step explanation:y-4=3(x-1)

y-4=0 3(x-1)

y=-4 , 3x-3

y=-4=3x-3

3 3

y=-4, = x=1

y-x=1+4=5

Answer:

Where's the picture of it?

Answer:

135/3 = 45

45/9 X 100 = 500

Brian borrowed $500

Answer:

4 years

Step-by-step explanation:

Hope this helps

Answer:

4 years

Step-by-step explanation:

do 1,875 divided by 768

Answer:

1. 40 members

2. 4 cheerleaders

3. 40 marbles

4. 2 marbles

5. 8

6. 24

Step-by-step explanation:

1. cross multiply 12/x=30/100

2. cross multiply 12/x=10/100

3. 18/x=45/100

4. x/40=5/100

5. we know 5% is 2 marbles. multiply by 4 to get 8 marbles.

6. 20%=8 marbles. 60/20= 3. 3 x 8= 24 marbles.

Answer:

No solutions.

Step-by-step explanation:

22 does not equal 81, so therefore no solutions.

Answer:

3^8

Step-by-step explanation:

9514 1404 393

Answer:

  A: ∠W'Z'Y' = 60°; angles aren't changed by rotation

  B: W'(-3, 6), X'(9, 6), Y'(8, 1), Z'(-4, 1)

Step-by-step explanation:

Part A:

Angle WZY is the supplement of the given angle ZWX, so is ...

  ∠WZY = 180° -120° = 60°

Rotation about the origin (or anywhere else) does not change angles. The new parallelogram will have ...

  ∠W'Z'Y' = 60°

__

Part B:

The transformation right 2 and up 3 can be described by ...

  (x, y) ⇒ (x +2, y +3)

Then the translated vertices are ...

  W(-5, 3) ⇒ W'(-3, 6)

  X(7, 3) ⇒ X'(9, 6)

  Y(6, -2) ⇒ Y'(8, 1)

  Z(-6, -2) ⇒ Z'(-4, 1)

Answer:

C (x)

Step-by-step explanation:

The Vertex of an angle is the point at which the angle is located on, so in this case the vertex is X.

Answer:

the second one is 343 to the 5 power

Step-by-step explanation:

thats all i know

srry honey

Answer:

[tex]16 {x}^{14} [/tex]

[tex] {7}^{15} [/tex]

Step-by-step explanation:

[tex](8 {x}^{8} )(2 {x}^{6} ) \\ 8 \times 2 \times {x}^{8 + 6 } \\ 16 {x}^{14} [/tex]

[tex]( {7}^{3} ) ^{5 } \\ {7}^{5 \times 3} \\ {7}^{15} [/tex]

Answer: What is the distance from 0 on a number line called?

The distance between a number's place on the number line and 0 is called the number's [absolute value]. To write the absolute value of a number, use short vertical lines (|) on either side of the number.

Step-by-step explanation:

Here's a hint. I hope this helps.

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Since 3x and 87 are the same length, all we need to do is 87 divided by 3.