**Answer:**

factored form: [tex]2x(x-5)[/tex], standard form: [tex]2x^2-10x[/tex]

**Step-by-step explanation:**

so we're given the expression: [tex]7x^2 - 5x(x+2)[/tex]

In this case we want to use the **distributive property**, which essentially states that: [tex]a(b+c)=ab+ac[/tex]

So we can use this to rewrite:

[tex]-5x(x+2)=(-5x)(x)+(-5x)(2)[/tex]

which simplifies to

[tex]-5x^2-10x[/tex]

this just simplifies the last part of our expression, so using this instead of what we originally had gives us

[tex]7x^2-5x^2-10x[/tex]

Since the 7x^2 and the -5x^2 have the same variable, we can subtract their coefficients.

Another way to think of it is

[tex]7x^2-5x^2\implies x^2(7-5)[/tex]

so in a way we're "factoring" out the x^2, which means we can simply subtract the coefficients for this reason.

This of course gives us 2, by we're multiplying by x^2 so we get

[tex]2x^2-10x[/tex]

Now if you want you can factor out a 2x, to get

[tex]2x(x-5)[/tex]

exapnd and simplify (3x+4)(2x+3)

Hope this answer helps:

Step-by-step explanation:-

=3x(2x+3)+4(2x+3)

=6x^2+9x+8x+12

=6x^2+17x+12

Step-by-step explanation:-

=3x(2x+3)+4(2x+3)

=6x^2+9x+8x+12

=6x^2+17x+12

Caroline’s cell phone plan costs $32 per month. Create a table that shows the sum of the amounts that Caroline will pay for her cell phone plan over the next 4 months. Can y'all please help me

**Answer:**

**Month:**

**1 = 32$**

**2 = 64$**

**3 = 96$**

**4 = 128$**

**Step-by-step explanation:**

Suppose you want to convert kilometers to miles. Which unit should be in the

numerator of the conversion factor? Which unit should be in the denominator?

Explain your reasoning.

**Answer:**

see below

**Step-by-step explanation:**

km * ** miles/km **

see how the 'km' then 'cancels out' and you are left with 'miles' the underlined shows the units of the conversion factor

Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (-4, 3), (2,3)

**Answer:** The slope is 0.

**Step-by-step explanation:**

We will use the **slope formula **to find the **slope **of the **line **going through these two points.

[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]\displaystyle \frac{3-3}{2--4}=\frac{0}{2+4} =0[/tex]

The **slope **of this **line **is 0.

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A rental company charges $80 a day and 40 cents a mile for renting a truck. Michael rents a truck for 4 days, and his bill comes to $460. How many miles did he drive?

The most appropriate choice for** distance **will be given by-

Michael drove [tex]350[/tex] miles

**What is Distance?**

The **length** of the **path** an object takes without taking into account the direction of motion of the object is known as **distance.**

If [tex]s[/tex] is the **speed **of the object and [tex]t[/tex] is the** time**, then

**Distance** = [tex]s \times t[/tex]

Here,

Amount of money charged by a rental company for one day = $[tex]80[/tex]

Amount of money charged by a rental company for four days = $[tex](80 \times 4)[/tex]

= $320

Total bill charged by the rental company = $[tex]460[/tex]

Remaining bill = $[tex](460 - 320)[/tex]

= $[tex]140[/tex]

Amount of money charged by a rental company for one mile = [tex]40[/tex] cents

= $[tex]0.40[/tex]

Number of miles driven by Michael = [tex]\frac{140}{0.40}[/tex]

= [tex]350[/tex] miles

Michael drove [tex]350[/tex] miles

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A lead sphere of diameter 6cm is melted down and cast into balls 5mm in diameter. How many of the

smaller balls are there?

Total Smaller balls measuring **5mm diameter **will be **12.**

A **sphere **is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a **sphere **is a **collection **of points that are all located at the same r-distance from a single point. The radius of the **sphere **is denoted by the letter r, and the specified **point **represents its center.

1 cm = 10mm

6 cm = 60mm

Ball **diameter is 5 mm.**

diameter of the lead **sphere **divided by the **number **of **balls**

= 60mm/ 5mm

**= 12 balls**

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a shipment of 22-inch pipes contains a pipe that is exactly 21.78 inches. What is the percent error, rounded to the nearest percent.

Please explain what you did step by the step. Thank you!

The **percent error** of the shipment pipes is **1.01%**

**Percent error:**

Percent error is defined as a difference between **estimated value** and the **actual value** in comparison to the actual value and is expressed as a percentage.

It can be calculated using the formula,

**PE = (|Estimated value-Actual value|/ Actual value) × 100**

Given,

A shipment of 22-inch pipes contains a pipe that is exactly 21.78 inches.

Here we need to find the percent error of the shipment.

According to the percent error formula,

Here we have the values of the **shipment **are

**Estimated value** = 22

**Actual value** = 21.78

So, now we have to apply the values on the formula, then we get,

PE = (|22 - 21.78/21.78|) x 100

When we simplify it, then we get,

PE = 0.0101 x 100

PE = 1.01%

Therefore, the percent error in the **shipment **is 1.01%.

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Sorry guys one last question

angle 5 is an acute angle.

angle 6 is an obtuse angle

angle 6 is an obtuse angle

45x12=________

15x10=________

35x15=________

43X14=________

Answer:45 x 12 = 450

15 x 10 = 150

35 x 15 = 525

43 x 14 = 602

Step-by-step explanation:

45 x 12 = 540

15 x 10 = 150

35 x 15 = 525

43 x 14 = 602

15 x 10 = 150

35 x 15 = 525

43 x 14 = 602

Question 1 (2 points)

(02.04)

For the function f(x) = -2(x + 3)2 - 1, identify the vertex, domain, and range.

**Answer: **

**Vertex: (-3,-1)**

**Domain : (negative inf. , inf.)**

**Range: (negative inf. , 1]**

A solar panel covers the hood of a truck. The area is 0.8 the width of the panel is 1.6 meters, what is the length of the panel

The **length of the panel** is 0.5 meter.

To find the **area of a rectangle**, we multiply the **length **of the **rectangle **by the **width **of the **rectangle**.

Given that,

**Area **of the **panel **= 0.8 [tex]m^{2}[/tex]

**width **of the panel = 1.6 meter

Here, **solar panel** is in the form of** rectangle**.

**Area of rectangle = length× width**

0.8 = 1.6 × length

length = [tex]\frac{0.8}{1.6}[/tex]

length = 0.5 meter

Hence, The **length of the panel** is 0.5 meter.

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k(x) = 2x²-x-1 find the roots

**Answer:**

x = -1/2 , 1

**Step-by-step explanation:**

according to flightstats.com, american airlines flights from dallas to chicago are on time % of the time. suppose flights are randomly selected, and the number of on-time flights is recorded. (a) explain why this is a binomial experiment. (b) determine the values of n and p. (c) find and interpret the probability that exactly flights are on time. (d) find and interpret the probability that fewer than flights are on time. (e) find and interpret the probability that at least flights are on time. (f) find and interpret the probability that between and flights, inclusive, are on time.

According to the flight on certain routes, the experiment is a **binomial experiment** and this will be determined by observing that Flights on a certain route are on-time 80% of the time and 10 flights are randomly selected and the number of on-time flights is recorded.

(a) This is a** binomial experiment **since there are only two possible outcomes for each data that is a flight is either on time (p = 80% = 0.8) or late (q = 1 - p = 1 - 0.8 = 0.2).

(b) Using the formula:

P(a out of n) = (nCa)(pᵃ)(qⁿ⁻ᵃ), where n = 10 flights, a = the number of flights that arrive on time:

P(7/10) = (10C7)(0.8)⁷ (0.2)³= 0.2013

Therefore, 0.2013 chance is there that exactly 7 of 10 flights will arrive on time.

(c) Fewer than 7 flights are on time means that we must add up the probabilities for P(0/10) up to P(6/10).

P(0/10) + P(1/10) + ... + P(6/10) = 0.1209

This means that 0.1209 chance that less than 7 flights will be on time.

(d) The probability that at least 7 flights are on time is the exact opposite of part (c), where less than 7 flights are on time. So instead of calculating each formula from scratch, we can simply subtract the answer in part (c) from 1.

1 - 0.1209 = 0.8791.

So there is a 0.8791 chance that at least 7 flights arrive on time.

(e) For this, we must add up P(5/10) + P(6/10) + P(7/10), which gives us

0.0264 + 0.0881 + 0.2013 = 0.3158, so the probability that between 5 to 7 flights arrive on time is 0.3158.

According to the flight on certain routes, the experiment is a **binomial experiment**

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**DISCLAIMER:** The question provided is incomplete as some data are missing. The above answer is solved as per a relevant question

According to an airline, flights on a certain route are on time 80 % of the time. suppose 10 flights are randomly selected and the number of on-time flights is recorded. (a) explain why this is a binomial experiment. (b) find and interpret the probability that exactly 7 flights are on time. (c) find and interpret the probability that fewer than 7 flights are on time. (d) find and interpret the probability that at least 7 flights are on time. (e) find and interpret the probability that between 5 and 7 flights, inclusive, are on time.

what 5+5+5+7= what is it

Add 5 x 3 + 7

5 x 3 + 7

15 + 7**22**

**Answer:**

Alternatively, you may use addition to solve

**Step-by-step explanation:**

5+5 = 10 and 5+7 = 12, and we know that 10+10 = 20

Just add the number 2 from the number 12 to 20, and you have the same answer

Anya earns $150 less than three times Rick's monthly salary. If Rick's salary is represented by x which expression represents Anya's salary

A x-3- $150

B 3(x+$150)

C 3(x-$150)

D 3x-$150

E 3x+$150

Ricks Salary: x

Anya earns $150 less than three times Rick’s salary.

Your answer is 3x - $150

This is because his salary is 3x more than hers and $150 dollars less. Less usually indicates subtraction, and times usually indicates multiplication.

Apologies if anything is incorrect.

Anya earns $150 less than three times Rick’s salary.

Your answer is 3x - $150

This is because his salary is 3x more than hers and $150 dollars less. Less usually indicates subtraction, and times usually indicates multiplication.

Apologies if anything is incorrect.

**Answer:**

d

**Step-by-step explanation:**

3 multiplied by ricks salary minus 150

A church group set off from their church at 10:00AM for the forest. The group noted that

the trip took them 110 minutes to finish. What time did the church group arrive at the forest?

**Answer:**

11l:50

**Step-by-step explanation:**

110 min = 1 hour and 50 minutes

help, i’ll give 20 points and thanks, and 5 stars

**Answer: 8.75**

**Step-by-step explanation:**

(0, 20) and (40, 370) any two coordinate points can be chosen

(370 - 20) / (40 - 0)

= 35/4 or 8.75

Factor completely. 2x^2-9x-5

**Answer:**

(2x+1)(x-5)

**Step-by-step explanation:**

factorsed by grouping them

roots are -1/2 and 5

find the slope 35 points

**When we want to find the slope of a line, **

We find two points and connect them to form a right triangle.

We then divide the increase in the [tex]y[/tex]-axis by the increase in the [tex]x[/tex]-axis to find the slope.

Since the line is tilted to the right, the slope is positive.

just help me please. it might be easy but I kinda forgot what goes into where. Please help me out tho!!

The **matching** of the **mathematical** terms to the **equations**, and expressions is as follows;

Area of a circle → π•r²

Percent equation → P = %dec × w

Percent proportion → [tex] \displaystyle{ \frac{p}{w} = \frac{\%}{100} }[/tex]

Circumference → π × d

Pi → π

Base equation → y = k•x

Constant of proportionality → [tex] \frac{y}{x} [/tex]

% increase → [tex] \frac{Amount \: increase}{Original \: amount} [/tex]

%decrease →[tex] \frac{Amount \: decrease}{Original \: amount} [/tex]

Interest Earned → P×r×t

What is an expression in mathematics?An **expression** in mathematics consists of mathematical **symbols** and **variables** joined together operators in the proper manner

The area of a circle is π × r²

Where;

r = The radius of the **circle**

A **percent** equation equation is one of the sides of the equation consists of a percentage

A percent **proportion** express a proportion as a percentage

The **circumference** of a circle is the distance round the circle, which is given by the product of Pi and the radius of the circle

The symbol **Pi** is π

The **base** equation is one written in simple form

The **constant** of is the constant ratio between variables that are proportional

This is the ratio of the **increase** to the original amount expressed as a percentage

The ratio of the **decrease** to the original amount expressed as a percentage

This is the **amount added** to an **investment** sum or amount and it is given by the product of the principal, P, rate, *r *and time, *t *

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consider the function rpresented by 9x + 3y = 12 with x as the independant variable. How can this function be writte using function notation? f(y) = - 1/3y + 4/3, f(x) = -3x + 4, f(x) = - 1/3 x + 4/3 f(y), = - 3y + 4

The** slope-intercept **form of a function f(x) = mx + c therefore,f(x) = -3x + 4 is the correct **notation **of the function 9x + 3y = 12 so option (B) is correct.

The **function **is a relationship between variables, and the **nature **of the **relationship **defines the function for example y = sinx and y = x +6 like that.

The **machine **will only accept specified **inputs**, described as the function's domain, and will potentially produce one **output **for each input.

As per the given **function**,

9x + 3y = 12

**Subtract **9x both sides,

9x - 9x + 3y = 12 - 9x

3y = 12 - 9x

**Divide **by 3 into both sides,

y = 12/3 - 9x/3

y = -3x + 4

Since,y = f(x)

f(x) = -3x + 4 .Here -3 is the **slope **while 4 is the y-intercept.

Hence "The** slope-intercept **form of a function f(x) = mx + c therefore,f(x) = -3x + 4 is the correct **notation **of the function 9x + 3y = 12".

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You borrowed $1,690 for 5 1/2 years a at 5.7% compounded semi annually. What total will you pay back?

**Answer: You would pay $2,302 back.**

**Step-by-step explanation:**

Compound interest occurs when the interest is reinvested rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.

A baseball Dimond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?

Using the pythagorean theorem we get that:

[tex]\begin{gathered} d^2=(90ft)^2+(90ft)^2=2(90ft)^2 \\ d=\sqrt[]{2}(90ft)=127.3ft \end{gathered}[/tex]Note: the shortest distance between two points in a plane is a stright line, that is why we calculated d.

Matthew wants his run today to take no more than 90 minutes. He already has run 30 minutes at a pace of 10 minutes per mile. Part A) Write an inequality that Matt could solve to find out how many more miles he can run if he keeps his current pace. Show or explain the reasoning you used to determine your answer.

The **inequality** that **Matt** could solve to find out how many more miles he can run if he keeps his current pace is less than 6 miles.

It should be noted an **inequality** is used to show the expressions that are not equal.

In this case, **Matthew** wants his run today to take no more than 90 minutes and he already has run 30 minutes at a pace of 10 minutes per mile.

Therefore, the appropriate **inequality** will be;

Let miles = m

m <= 90/10 - 30/10

m <= 9 - 3

m <= 6

He has about **6 miles** more.

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solutions to 2-variable equations 4x-1=3y+5

I think you can see my Picture

A company has been forced to reduce its number of employees. today the company has33% fewer employees than it did a year ago. if there are currently 335 employees, how many employees did the company have a year ago?

The **employees **that the company had a year ago is 500.

**Percentage **is the rate expressed as a number out of 100. **Percentage **is used to measure the frequency of a dataset. The sign that represents **percentages **is %.

The **employees **last year would be greater than the **employees **this year. The equation that can be used to represent **employees **last year is:

**Employees **this year = employees last year x (1 - percentage decrease)

335 = employees last year x (1 - 0.33)

335 = employees last year x 0.67

employees last year = 335 / 0.67

employees last year = 500

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What is the mean of the normal distribution shown below?

A continuous probability distribution for a real-valued **random variable** in statistics is known as a normal distribution or **Gaussian distribution.**

A normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off **symmetrically **toward either extreme.

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the **Gaussian distribution**. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a** "bell curve"** on a graph.

The median, mode, and means are the same. At its centre, or the mean, the curve is symmetric. To the left of centre, **precisely half **of the values are located, and to the right, **exactly half**. The curve has a total area under it of one.

The answer for normal distribution is** 4 **

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Please please please help me it's due at 10:00 P.M today

**Answer: 20x**

**Step-by-step explanation:**

**Answer:**

20x

**Step-by-step explanation:**

just trust me because you have to mulitply

what is 2.41x2.5 please help me out on this one

**Answer:**

6.025

**Step-by-step explanation:**

hope this helps:)

**Answer:6.025**

**Step-by-step explanation:use calculator**

Each packet of washing powder

**Answer:**

What happened to each packet of washing powder

please finish the question so i can answer xD

if i infer right then each packet of washing powder was washed up in the washing machine! :)

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