Find the products using suitable identity:
1.(3y –2z) (3y + 2z)
2.105 × 98

Answer:

I believe it to be 1000 cars. Please look at solution to check if I did it the way your problem wants you to do it.

Step-by-step explanation:

Since Chevy needs to make 5,000,000 in profits, earns 25,000 per car, and had invested 20,000,000, we can set an equation with x being the number of cars:

5,000,000 = 25,000x -20,000,000

Notice how 20,000,000 is negative. This is because chevy starts with a negative amount of money (as they just spent it) and are wanting to earn it back. Anyway, lets solve this.

25,000,000=25,000x

x=1,000

we can see that chevy needs to sell more than 1000 cars to make a profit, however I'm unsure of the 25,000 part. This answer is assuming that they make 25,000 profit for each car.

Answer:

135°

Step-by-step explanation:

seg AB=seg OB

tan ∠AOB = 1

∠AOB = 45°

∠AOC = 135°

Answer:

888.125

Step-by-step explanation:

(225/.25) - 11.875

(Divide 225 by .25)

900 - 11.875

888.125

[tex]y = 15x +9~~~~.....(i)\\\\y = \dfrac 12 x -20~~~ ....(ii)\\\\\\\text{Substitute equation (i) in equation (ii):}\\\\15x +9 = \dfrac 12 x -20\\\\\ \implies 9 +20 = \dfrac x2 - 15 x\\\\\implies 29 = -\dfrac{29 x}2\\\\\ \implies 1 = -\dfrac x 2\\\\\implies x= -2\\\\\text{Substitute}~ x=-2~ \text{in equation (i):}\\\\y = 15(-2) +9 = -30 +9 = -21\\\\\text{Hence}~ (x,y) = (-2,-21)[/tex]

Answer:

30

Step-by-step explanation:

first, create two equations.

let x = Julio's number and y = answer for Julio's number substrates 17

[tex]x - 17 = y \\ y ( - 3) = - 39 \\ [/tex]

by using substitution method, you will get

[tex]x = 30 \\ y = 13[/tex]

so the answer is 30

Answer:

B (1, 8 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

with (x₁, y₁ ) = A (- 3, 2 ) and (x₂, y₂ ) = B (x, y )

Calculate the midpoint values and equate to the corresponding coordinates of the given midpoint (- 1, 5 ) , that is

[tex]\frac{-3+x}{2}[/tex] = - 1 ( multiply both sides by 2 )

- 3 + x = - 2 ( add 3 to both sides )

x = 1

[tex]\frac{2+y}{2}[/tex] = 5 ( multiply both sides by 2 )

2 + y = 10 ( subtract 2 from both sides )

y = 8

Then point B = (1, 8 )

Answer: The Third option

Step-by-step explanation:

1/36a^4b^10

Hope this is right!

The expression equivalent to the given expression is 1/36a⁴b¹⁰. Therefore, option C is the correct answer.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is ((2a⁻³b⁴)²/(3a⁵b)⁻²)⁻¹.

Now, ((2²a⁻⁶b⁸)/(3⁻²a⁻¹⁰b⁻²))⁻¹

= (2⁻²a⁶b⁻⁸)/(3²a¹⁰b²)

= (a⁶)/(3²2²a¹⁰b²b⁸)

= 1/36a⁴b¹⁰

Therefore, option C is the correct answer.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

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Answer:6_1/4

Step-by-step explanation:

They are different by a multiple of 3, for example, 3_1/4 * 3 = 9_3/4, etc.

This means that you just have to divide 18_3/4 bu 3, which is 6_1/4

Answer:

4

-15

Step-by-step explanation:

Answer:s

Step-by-step explanation:

Answer:

x=2  y=3

Step-by-step explanation:

The length of the hypotenuse is 30 ft and this can be determined by using the Pythagorean theorem.

Given :

The legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.

The following steps can be used in order to determine the length of the hypotenuse:

Step 1 - The Pythagorean theorem can be used in order to determine the length of the hypotenuse.

Step 2 - According to the given data, the legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.

Step 3 - So, the length of the hypotenuse is calculated as:

[tex]H^2 = 2\times (15\sqrt{2} )^2[/tex]

Step 4 - Simplify the above expression.

[tex]H =30\;{\rm ft}[/tex]

Therefore, the correct option is D).

For more information, refer to the link given below:

brainly.com/question/21149612

Answer:

d

Step-by-step explanation:

[tex](9+7i)(6+3i)\\\\=54+27i + 42i + 21i^2\\\\=54+69i -21~~~;[i^2 =-1]\\\\=33+69i[/tex]

Answer:

[tex]a_{15}=-268,435,456[/tex]

Step-by-step explanation:

First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc

[tex]4\div-1=-4\\-16\div4=-4\\64\div-16=-4[/tex]

The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:

[tex]a_n=a_1x^{n-1}[/tex]

It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.

Plug in the information we have to get the equation for this sequence:

[tex]a_n=(-1)(-4)^{n-1}[/tex]

Then, you can solve for the 15th term:

[tex]a_{15}=(-1)(-4)^{15-1}\\a_{15}=(-1)(-4)^{14}\\a_{15}=(-1)(268,435,456)\\a_{15}=-268,435,456[/tex]

Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.

Answer:

Alyssa's Sister = 18, Alyssa = 30

Step-by-step explanation:

48 = 2x-6 + x

54 = 2x + x

54 = 3x

18 = x

2(18) - 6

36 - 6

30

48 = 2(18) - 6 + 18

48 = 36 - 6 + 18

48 = 30 + 18

48 = 48

Answer: First we know the Town Library has 3 times as many books as there are in the School Library. The Town Library has 2,676 books.

Divide 2,676 by 3. 2676÷3= 892

So your answer is: 892 books.

Hope I helped. :)

The number of books in the library will be 892.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that there are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.

The number of books will be calculated as,

Number = 2676 / 3

Number = 892

Hence, the number of books will be 892.

To know more about an expression follow

https://brainly.com/question/27999047

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Answer:

C.

Step-by-step explanation:

The picture I took is underneath.

Answer:

y = - 100

Step-by-step explanation:

Assuming you mean

y = - 4[tex](5)^{x}[/tex] ← substitute x = 2

y = - 4[tex](5)^{2}[/tex] = - 4 × 25 = - 100

Answer:

k = 7

Step-by-step explanation:

Vertical shift down by 7units, f(x) - 7

g(x) = (0.5)x - 7

g(x) = (0.5)x - k

Comparing both equations, k = 7

Answer:

k = 7

Step-by-step explanation:

it would be 7 and not -7 because there is already a minus symbol which shows that k is being moved downwards 7 UNITS.

Answer:

Step-by-step explanation:

Tod did not want the answer?

Solving for a

Answer:

I'm gonna say no bones day, but I have no idea what you are talking about, so I will change my answer once you explain...

Step-by-step explanation:

Answer:Bones Day

Step-by-step explanation:

Answer:

7x+3

Step-by-step explanation:

-5x+6x+14+12x-20-6x+9

combine like terms

7x+3

Answer:

10 Dimes and 5 Quarter

Step-by-step explanation:

Important info:

18 Coins worth a total of $2.25

Note:

Dimes = .10

Quarter = .25

10 Dimes = 1.00

4 Quarter = 1.00

Question to Answer:

How many each type of Coin does she have?

Solution:

Lets get rid of .25 in $2.25 :)

So that 1 Quarter..

2.00

Takes away 1.00 = 10 Dimes

Now we have 1 Quarter and 10 Dimes.

1.00 Left..

4 Quarter = 1.00

So now we have 5 Quarter and 10 Dimes..

Check Work:

5 Quarter = 1.25 and 10 Dimes = 1.00

1.25+1.00=

$2.25

Hence. Gloria has 5 Quarter and 10 Dimes.

{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}

→[RevyBreeze]←

Answer:

Step-by-step explanation:

The equation ...

  (x -h)² = 4p(y -k)

is the equation of a parabola with vertex (h, k) and vertex-focus distance of p. When p is negative (as here), it means the focus is below the vertex, and the parabola opens downward. The directrix is p units on the other side of the vertex from the focus.

The vertex for equation ...

  (x -4)² = -12(y +1)

is (h, k) = (4, -1). The value of p is (-12/4) = -3, so the focus is (4, -1-3) = (4, -4), and the directrix is y = -1+3 = 2.

_____

Additional comment

As a check on the graph, you can remember that any point on the parabola is equidistant from the focus and directrix. You will notice the vertex is halfway between the focus and directrix, so you know that relationship is true there.

You will also notice that a horizontal line from the focus to the parabola intersects the same distance away from the focus as from the directrix. Thus the parabola distance relation holds at that point as well.

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. They may also have been called the input and output of the function.)

Answer:

y - 5

Step-by-step explanation:

Answer:

y - 5

Step-by-step explanation:

To translate statements into expressions, we have to look for key terms. In this case, one key term is "five less." Five less means to subtract 5 from a certain quantity. When it says "five less than y," we're taking five away from y. In numerical form, it can be written as: y - 5.

Therefore, the expression is y - 5.

Answer:

I believe it's written y = 1/2x - 1

Hope this helps :)

Answer:

1

Step-by-step explanation:

there are 31 days in October so if he loses one each day he loses 31

We have:

[tex]x(x^{2} +2x+4) - (x^{2} +2x+4).2 =0\\<=>(x^{2} +2x+4)(x-2)=0\\<=>x^3-8=0 \\<=>x^3=8\\<=>x^3=2^3\\<=>x=2[/tex]

ok done. Thank to me :>