Solve the equation using suntraction. Show all your work. X-6y=11 and 2x-5y=1

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

\(x7 - 2 \: or \: x \leqslant - 3\)

Step-by-step explanation:

Flip f(x) about the x-axis by multiplying it by -1

  - f(x)

  the squish it skinnier by multiplying it by 4

g(x) = - 4 f(x)   = -4 x^2

Answer:

i believe this is additive identity

Answer:

16 deliveries

Step-by-step explanation:

238 ≤ 10d + 78

160 ≤ 10d

16 ≤ d

Thus, he needs to make at least 16 deliveries to make at least $238 in one day.  Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.

Answer:

13 and 4

Step-by-step explanation:

Use the quadratic formula for this one, or you could just plug it into an online calculator like the one at www.symbolab.com if you wanted to check your answer...

You could also factor it to (x - 13)(x -4) and set each side equal to zero!

Hopefully this helps- let me know if you have any questions!

Answer:

the zeros are 13 and 4

Step-by-step explanation:

hope this helped! :D

Answer:

B: 2029

Step-by-step explanation:

Interest Formula

\(A=P(1+r)^n\)

A= amount

P= initial amount

r= rate/percentage

n= years

All we have to do is plug in the numbers from the word problem to get:

\(20,612(0.018+1)^{n} =25,000\)

From here we solve for n:

\((1.018)^n=\frac{25,000}{20,612} \\(1.018)^n=1.213\\\)

Get the natural log (ln) of both sides:

\(n=\frac{ln(1.213)}{ln(1.018)}\)

n is approximately 10.823

n is the number of years it will take for the population to reach 25,000 people.

2019+10

=2029

Answer:

2029

Step-by-step explanation:

The scaled triangle will be larger than the initial size by a factor 2.

The scaled square will be smaller than the initial side by a factor 4.

Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.

Dilation involves scaling an object by a certain factor, that might result in  enlarging or reducing its dimensions uniformly in all directions.

Based on the given diagram, the new length and size of the object is calculated as follows;

For the triangle, (measure the length with ruler)

For the square; (measure the length with ruler)

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The perimeter of Quadrilateral JKLM is 20 units.

What is the perimeter of a Quadrilateral?

The length of a quadrilateral's boundary, or what remains after joining all four of its sides to form a single line segment, is referred to as the quadrilateral's perimeter.

Here, we have

Given: The coordinates of a quadrilateral JKLM are J(0,6), K(4,6), L(4,3), and M(-4,3).

We have to find the perimeter of Quadrilateral JKLM.

The perimeter of a quadrilateral = sum of all four sides of the quadrilateral.

Given the coordinates of quadrilateral JKLM as:

J(0,6)

K(4,6)

L(4,3)

M(-4,3)

Use the distance formula d = √(y₂ - y₁)² + (x₂ - x₁)² to find each segment of the quadrilateral .

JK = √(6 - 6)² + (4 - 0)²

JK = 4 units

KL = √(3 - 6)² + (4 - 4)²

KL = 3

LM = √(3 - 3)² + (-4 - 4)²

LM = 8

JM = √(3 - 6)² + (-4 - 0)²

JM = √9+16

JM = 5

Perimeter of quadrilateral JKLM = JK + KL+ LM + JM = 4 + 3 + 8 + 5 = 20

Hence, the perimeter of Quadrilateral JKLM is 20 units.

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Since the ratio of pink markers to total markers is 1:3, then there are 8 pink markers.

Number of yellow markers given = 16

Based on the information given, therefore, the pink markers will be half of the yellow markers. This will be:

= 1/2 × 16

= 8 markers

Therefore, the total markers will be:

= 8 + 16 = 24

In conclusion, pink markers will be 8/24 = 1/3. Therefore, the number of pink markers is 8.

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Answer:

3,700,000

Step-by-step explanation:

Answer:

This should be a permutation

Step-by-step explanation:

P (n, r) = n!/(n-r)!

P (12,5) = 12!/(12-5)!

P (12,5) = 12!/7!

P(12,5) = 95040

Answer:

a translation of 4 in y direction.

hope it helps.

stay safe healthy and happy.

Answer:

So the answer is 30 of a length

Step-by-step explanation:

equal sides of the length 5 and length 6

The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.

A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.

Chain discounts involve a series of trade discounts applied in sequence.

List price = $3,800

Chain discount = 8/3/1

First net price = $3,496 ($3,800 x 1 - 8%)

Second net price = $3,391.12 ($3,496 x 1 - 3%)

Third net price = $3,357.21 ($3,391.12 x 1 - 1%)

Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.

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Answer:

1/6

Step-by-step explanation:

I don't know how to use it using a number line sorry

-1/3 - (-1/2)

Two minuses give us a plus

so:

-1/3 + 1/2

make the denominators the same and what you multiply at the bottom you multiply at the top (check online about adding fractions if you don't understand)

so:

-2/6 + 3/6 = 1/6

Answer:

It depends on the number of charms that your bracelet can have.

here we need to count the number of selections that we have, and the number of options for each one of these selections.

So if we can have only one charm, we have only one selection, and for that selection, we have 9 options, then there are 9 different one-charm bracelets.

If each bracelet can have 2 charms then we have two selections.

For the first selection, we have 9 options,

If each charm can be selected only one time, then for the next selection we will have 8 options, now the total number of combinations is equal to the product between the numbers of options for each selection, so here the total number of combinations is:

C = 9*8 = 72

If we can select 3 charms, then:

first charm = 9 options

second charm = 8 options

third charm = 7 options

Total number of combinations = 9*8*7 = 504 combinations.

Notice that we can not give an exact answer because we do not know the number of charms in each bracelet and we do not know if a charm can be selected multiple times or only one, but here you could see the general way to solve this kind of problems.

Answer:

c) 5 boxes 4 donuts remain.

pls give brainlyist

Step-by-step explanation:

Answer:

C. 5 boxes with 4 doughnuts left over

Step-by-step explanation:

A baker made 64 doughnuts at his bakery on Monday.

The baker wants to put his doughnuts into boxes. Each box holds 12 doughnuts. What is the total number of boxes the baker can fill, and the total number of doughnuts he will have left over?

Given that the baker has 64 doughnuts and each box holds 12 doughnuts, how many boxes can he fill and how many will he have left over?

To find this, we need to divide 64 by 12 using long division.

*View the attached picture*

Hope this helps!

ANSWER

Josie did not make a mistake

EXPLANATION

The vertex form of a quadratic equation is given in the form:

where (h, k) is the vertex

Jose rewrote the given equation to arrive at:

And her vertex was (2, -8)

Comparing this with the general form written above, we see that every step taken and the final answer are correct.

Therefore, Josie did not make a mistake.

$60

Step-by-step explanation:

The unit rate can be determined by dividing $24 by 8 attendees to get

\(\dfrac{\$24}{8\:\text{attendees}} = \$3/\text{attendee}\)

so when 20 people are attending the graduation picnic, his total cost is going to be

\(20\:\text{attendees}×\dfrac{\$3}{\text{attendee}} = \$60\)

answer:

2x²+2x-12

explanation:

(x + 3) (2x – 4)                           [ open the bracket ]

x(2x) -4(x) +3(2x)+ 3(-4)             [ multiplication ]

2x²-4x+6x-12                             [ simplify ]

2x²+2x-12                                  [ final answer ]

Answer:

We want to multiply two polynomials of degree 1, and get in that way a polynomial of degree 2.

We will get the polynomial: p(x) = 2 * x² + 2 * x - 12

Step-by-step explanation:

We just want to multiply (x + 3) and (2*x - 4).

So we start by writing:

(x+3) * (2*x-4)

Now we just expand this:

(x+3) * (2*x-4) = 2 *  x² + x * (-4) + 3 * (2 * x) + 3 * (-4)

Now we need to simplify the above expression:

2 * x² + x * (-4) + 3 * (2*x) + 3 * (-4) = 2 * x² + (6 - 4) * x - 12 = 2 * x ² + 2 * x - 12

This is the polynomial we wanted to get:

p (x) = 2 * x² + 2 * x - 12

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The derivative is f'(x) = (4x - 1) / (2x² - x).

To find the derivative of the function f(x) = ln(2x² - x), we can use the chain rule.

Begin by identifying the function to be differentiated, which is f(x) = ln(2x² - x).

Apply the chain rule, which states that if we have a composition of functions, f(g(x)), the derivative is given by (f'(g(x))) g'(x).

Let's consider the inner function g(x) = 2x² - x.

To differentiate g(x), we need to apply the power rule and the constant rule. The derivative of 2x² is 4x, and the derivative of -x is -1.

Now, we differentiate the outer function f'(g(x)). The derivative of ln(x) is 1/x.

Finally, we multiply the derivatives obtained in steps 3 and 4. Thus, the derivative of f(x) = ln(2x² - x) is:

f'(x) = (1 / (2x² - x)) * (4x - 1)

Simplifying further, we have:

f'(x) = (4x - 1) / (2x² - x)

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Answer:

the answer is $120

Step-by-step explanation:

because I multiply 15 x 8 = 120 so the hourly worker will have $120 from an eight hour shift or else you can use a calculator too

The required wage for the eight-hour shift is $120.

An hourly worker whose wage is $15 per hour will be paid. How much for an eight-hour shift to be determined.

In mathematics, it deals with numbers of operations according to the statements.

Here,
$15 wage =  1 hour
Multiply both sides by 8
$15*8 = 1*8 hour
$120 = 8 hour

Thus, the required wage for the eight-hour shift is $120.

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Answer:

\(\huge\boxed{\sf x = 9}\)

Step-by-step explanation:

3(x + 4) - 11 = 28

3(x + 4) = 28 + 11

3(x + 4) = 39

3x + 12 = 39

3x = 39 - 12

3x = 27

x = 27/3

\(\rule[225]{225}{2}\)

Answer:

Check whether the first and last terms of the trinomial are perfect squares.

Multiply the roots of the first and third terms together.

Compare to the middle terms with the result in step two

If the first and last terms are perfect squares, and the middle term’s coefficient is twice the product of the square roots of the first and last terms

Step-by-step explanation:

Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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Answer:

A: 9:5  B: 5:14

Step-by-step explanation: