Solve for x: 7x – 7 = 7
PLS BE QUICK

Answer:

x^2 + 8x + 15

Step-by-step explanation:

( x + 3 ) ( x + 5 )

1. distribute

( x + 3 ) ( x + 5 )

x^2 + 3x + 5x + 15

2. simplify

x^2 + 8x + 15

Answer:

40

Step-by-step explanation:

P=2(l+w)

2·(10+10)

          =40

Answer:

  B.  A point

Step-by-step explanation:

You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.

The vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.

The intersection is one point.

__

Additional comment

Figure f in the attachment illustrates this case.

Answer:

$0.21 per ounce (rounded to nearest cent)  

Step-by-step explanation:

8 ounces --- $1.69

1 ounce --- \(\frac{1}{8}\) × $1.69 = $0.21 (rounded to nearest cent)

Question:

What is the Unit Price per ounce?​

Answer:

If 8 ounces cost $1.69, then 1 ounce costs $1.69/8 = $0.21125, which is 21.125 cents, which rounds to 21.1 cents (because 2 is less than 5)

Answer:

y = 5x-17

Step-by-step explanation:

point slope form would be

y- -2   =  5(x-3)        or  re-arrange to:    y = 5x -17

Answer:

-9 and -4

Step-by-step explanation:

Answer:

like terms are -9 and -4

Step-by-step explanation:

Like terms is when they have the same constant or variable or same exponent or like in any order just as long as they are in the same form.

Answer:

hi

Step-by-step explanation:

i'm excellent, i could help

The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².

The side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²

= 75.69 cm²

Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²

Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².

In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².

Total surface area = surface area of the cube + surface area of the cylinder

Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²

Total surface area ≈ 583.31 cm²

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Answer:

160

Step-by-step explanation:

20 x 2 = 40

40 x 2 = 80

80 x 2 = 160

It stops at 3 years.

Answer:

120

Step-by-step explanation:

20+40+60 = 120

If we double it, we have to keep adding 20 each year and stop at 3 so the answer is 120

Given:

400m is 3 km

Find: what fraction.

Sol:

1 km is 1000m so:

So the fraction of kilometer is:

The expected hourly payoff of Denis's plan to seek employment at Roberto's Restaurant is $16.50.

To calculate the expected hourly payoff of Denis's plan, we need to consider the probabilities of each step and the respective pay rates.

1. Probability of becoming a waiter: 60% (0.60)

  Pay rate as a waiter: $10 per hour

2. Probability of being promoted to cook given he becomes a waiter: 50% (0.50)

  Pay rate as a cook: $15 per hour

3. Probability of being promoted to manager given he becomes a cook: 40% (0.40)

  Pay rate as a manager: $25 per hour

Now, let's calculate the expected hourly payoff:

Expected hourly payoff = (Probability of each step) * (Pay rate at each step)

Expected hourly payoff = (0.60 * $10) + (0.60 * 0.50 * $15) + (0.60 * 0.50 * 0.40 * $25)

Expected hourly payoff = $6 + $4.50 + $6

Expected hourly payoff = $16.50

Therefore, the expected hourly payoff of Denis's plan to seek employment at Roberto's Restaurant is $16.50.

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The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .

We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.

Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.

In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:

z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1

Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:

0.8413 - 0.1587 = 0.6826

We can get the percentage of consumers who spent between by multiplying this by 100% is  \($149,000\)  and \($151,000\):

0.6826 x 100% = 68.26%

Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\)  for this model of new homes.

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Answer:

81 m²

Step-by-step explanation:

The area of the figure = area of the rectangle + area of the triangle

= Length*Width + ½*base*height

Length = 10 m

Width = 6 m

base = 6 m

height = 7 m

Thus:

Area = 10*6 + ½*6*7

Area = 60 + 21 = 81 m²

Answer:

5000inches

Step-by-step explanation:

i think is that!

Answer:

possible

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

I hope this helps

ANSWER

EXPLANATION

The asymptote of a graph is the line the graph approaches without actually touching.

The graph given has only one asymptote, and it is a horizontal asymptote.

It is at point:

ASYMPTOTE: y = 0

The domain of a graph is the set of all values of x in the graph.

The domain of the given graph is:

The arrow shows that the graph keeps going till infinity.

The range of a graph is the set of all values of y in the graph.

The range of the given graph is:

This is because the graph never touches 0 on the y axis and the arrow points upwards.

Yes, it is a polynomial

The degree of the polynomial is 2

and it is a Quadratic polynomial

A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. It is made up of indeterminates (also known as variables) and coefficients.\(x^{2}\)− 4x + 7. is an illustration of a polynomial with a single indeterminate x. Three-variable example: \(x^{3}\)+ 2xy\(z^{2}\) − yz + 1..

Numerous branches of mathematics and science use polynomials. For instance, they are used to define polynomial functions, which show up in contexts ranging from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems.

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Answer

Option B is correct.

x² - 8x + 16 is the only perfect square trinomial among the options.

Explanation

An expression that comes from the square of a binomial equation is a perfect square trinomial. For example, the result of the following will be a perfect square trinomial

(x + 1)²

(x - 4)² etc.

So, for this question, the option that can be expressed as a square will be the option that is a perfect square trinomial.

Option A

x² + 6x + 8

= x² + 4x + 2x + 8

= x (x + 4) + 2 (x + 4)

= (x + 2) (x + 4)

Not a perfect square trinomial

Option B

x² - 8x + 16

= x² - 4x - 4x + 16

= x (x - 4) - 4 (x - 4)

= (x - 4) (x - 4)

= (x - 4)²

This is a perfect square trinomial.

Option C

x² + 4x + 8

This cannot even be expressed in real number factorized form.

Option D

x² - 9

= (x + 3) (x - 3) (Difference of two squares)

Not a perfect square trinomial

Hope this Helps!!!

The simplified form of\(-6ru^2 -ur^2 - 22u^2r^2\)is \(-u^2(7r + 22r^2)\).

To simplify the expression\(-6ru^2 -ur^2 - 22u^2r^2\), we can combine like terms and factor out common factors.

First, let's look at the variables r and u separately:

For r:

We have terms\(-6ru^2\) and \(-ur^2.\) We can factor out r from these terms:

\(r(-6u^2 - u^2)\\r(-7u^2)\)

For u:

We have term\(-22u^2r^2\). We can factor out\(u^2\)from this term:

\(u^2(-22r^2)\)

Combining the simplified terms for r and u, we get:

\(r(-7u^2) + u^2(-22r^2)\)

Now, we can factor out the common factor of\(-u^2\):

\(u^2(7r + 22r^2)\)

Therefore, the simplified expression is\(-u^2(7r + 22r^2)\) .

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Answer:

y=1/6x

Step-by-step explanation:

Answer:

Dan is recycling equal weight of printers and monitors.

Step-by-step explanation:

Let,

x be the number of printers

y be the number of monitors

According to given statement;

x+y=60      Eqn 1

25x+35y=1750   Eqn 2

Multiplying Eqn 1 by 25

25(x+y=60)

25x+25y=1500    Eqn 3

Subtracting Eqn 3 from Eqn 2

(25x+35y)-(25x+25y)=1750-1500

25x+35y-25x-25y=250

10y = 250

Dividing both sides by 10

\(\frac{10y}{10}=\frac{250}{10}\\y=25\)

Putting y=25 in Eqn 1

x+25=60

x=60-25

x=35

Weight of printers = 35*25 = 875 lb

Weight of monitors = 25*35 = 875 lb

Therefore,

Dan is recycling equal weight of printers and monitors.

1) If the 10 kg sugar is Rs. 880 . Find the cost of 15 kg sugar.....

Solution,

let the required cost be Rs x

Here , the quantities of sugar and their cost are direct proportion

So, 10 : 15 = 8: x

\( \: \frac{10}{15} = \frac{880}{x} \\ x = \frac{880 \times 15}{10} \\ x = Rs1320\)

Hence , the cost of sugar is Rs.1320

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2) 50 students in a hostel have provisions for 21 days . How long would it last for 75 students?

Solution,

Let the required number of a day = x

Here , the number of student and the number of days are in inverse proportion.

•°• 50 : 75. = x : 21

\( \frac{50}{75} = \frac{x}{21} \\ x = \frac{50 \times 21}{75} \\ x = 14 \: days \\ \)

Hence, the provisions last for 14 days for75 students

~nightmare 5474~

1) The cost of 15 kg sugar is; Rs. 1320

2) The number of days that it would take the provisions to last for 75 students is; 14 days

1) Cost of 10 kg = Rs. 880

Thus, by proportion the cost of 15 kg sugar will be;

(15 × 880)/10

>> 13200/10

>> Rs. 1320

2) We are told that;

50 students = provisions for 21 days

Thus for 75 students the number of days the provisions would last them is gotten by proportion;

(50 × 21)/75

>> 1050/75

>> 14 days

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The equivalent equations of y - 4 = 2/3(x - 1) are y - 4 = 2/3x - 2/3 and y  = 2/3x + 10/3

From the question, we have the following parameters that can be used in our computation:

y - 4 = 2/3(x - 1)

We start by expanding the bracket

So, we have the following representation

y - 4 = 2/3x - 2/3

Next, we add 4 to both sides of the equation

This gives

y - 4 + 4 = 2/3x - 2/3 + 4

Evaluate the like terms

So, we have the following representation

y  = 2/3x + 10/3

Hence, the equivalent equation is y  = 2/3x + 10/3

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The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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Answer:

x=3

Step-by-step explanation:

Hey there!

In order to solve this equation, we must first distribute the 3

3x + 9 = -4x + 30

Now we combine like terms

7x = 21

Then we divide both sides by 7 to get x by itself

x = 21/7

x = 3

Answer: x=3

Step-by-step explanation:

To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.

3(x+3)=-4x+30                 [distribute]

3x+9=-4x+30                    [add both sides by 4x]

7x+9=30                            [subtract both sides by 9]

7x=21                                 [divide both sides by 7]

x=3

Therefore, we get x=3.

There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.

Consider the possible digits in the hundreds, tens, and one's places.

Thousands of places: There is only one possibility, which is 7.

Hundreds place: Any digit from 0 to 9 is possible.

Tens place: Any digit from 0 to 9 is possible.

One place: Any digit from 0 to 9 is possible.

Since the number is less than 54,000, the digit in the hundreds place cannot be 5.

So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.

So, the total number of such numbers is:

9 x 10 x 10 x 10 = 9,000

Therefore, there are 9,000 numbers that satisfy the given condition.

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