Sum, difference, and product..help!

The quotient [tex]x^5 - 3x^3 - 3x^2 - 10x + 15 \div x^2 - 5[/tex] is [tex]x^3 + 2x - 3[/tex]

The quotient can be represented as:

[tex]x^5 - 3x^3 - 3x^2 - 10x + 15 \div x^2 - 5[/tex]

Start by expanding the dividend

[tex]x^5 + 2x^3 - 5x^3 - 3x^2 - 10x + 15 \div x^2 - 5[/tex]

Rewrite as:

[tex]x^5 + 2x^3 - 3x^2 - 5x^3 - 10x + 15 \div x^2 - 5[/tex]

Factorize the dividend

[tex]x^2(x^3 + 2x - 3) - 5(x^3 + 2x - 3) \div x^2 - 5[/tex]

Factor out x^3 + 2x - 3

[tex](x^2- 5)(x^3 + 2x - 3) \div x^2 - 5[/tex]

Cancel out the common factor

[tex]x^3 + 2x - 3[/tex]

Hence, the quotient [tex]x^5 - 3x^3 - 3x^2 - 10x + 15 \div x^2 - 5[/tex] is [tex]x^3 + 2x - 3[/tex]

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Answer: x3 + 2x – 3

Step-by-step explanation:

Answer:

The answer is 5

Because 200÷10 =20.

So I'm this case, 4x=20. Divide both sides by 4 and the answer is 5. So X=5

5

Answer:

Step-by-step explanation:

if 200÷10=4×u then u=?​

200 : 10 = 4u

20 = 4u

u = 20 : 4

u = 5

---------------------------

check

200 : 10 = 4 * 5

20 = 20

the answer is good

According to the function transformations, the equation of function g(x) is [tex]g(x) = 5^x - 10[/tex]

The complete question is in the attachment

The function f(x) is given as:

[tex]f(x) = 5^x[/tex]

From the attached graph, we can see that the function f(x) is 10 units down to get g(x).

This is so because the y values of g(x) are 10 less than the corresponding y values of f(x)

This transformation is represented by:

(x, y) => (x, y - 10)

So, we have:

g(x) = f(x) - 10

Substitute [tex]f(x) = 5^x[/tex]

[tex]g(x) = 5^x - 10[/tex]

Hence, the equation of function g(x) is [tex]g(x) = 5^x - 10[/tex]

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Answer:

567.5

Step-by-step explanation:

it's 567.5. please add me to your followers

Answer:

B = 49/5 - 7a/5

A = = -5b/7 + 7

Step-by-step explanation:

Given that,

7a+ 5b= 49

Solution:

Solving for a:

Add -5b to both sides:

Divide both sides by 7:

Hence,a = -5b/7 + 7.

Solving for b:

Add -7a to both sides:

Divide both sides by 5:

Hence,b = 49/5 - 7a/5.

The answer to this question is (A) left.

Answer:

4x + 3y = - 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

• Parallel lines have equal slopes

calculate the slope of the line using the slope formula

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

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line

m = [tex]\frac{-1-3}{3-0}[/tex] = [tex]\frac{-4}{3}[/tex] = - [tex]\frac{4}{3}[/tex] , then

y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

to find c substitute (- 3, 2 ) into the partial equation

2 = 4 + c ⇒ c = 2 - 4 = - 2

y = - [tex]\frac{4}{3}[/tex] x - 2 ← equation in slope- intercept form

multiply through by 3 to clear the fraction

3y = - 4x - 6 ( add 4x to both sides )

4x + 3y = - 6 ← in standard form

C is the right answer.

hope it helps...

Answer:

C.

Step-by-step explanation:

Calculating this in Desmos, the closest equation to the points on the graph will have to be c

Answer:

Factors of 24: 1, 2, 3, 4, 6 etc.

Multiples of 24: 48, 72, 96, 120

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

24 can be written as:

= 1 × 24

= 2 × 12

= 3 × 8

= 4 × 6

So, 1, 2, 3, 4, 6, 8, 12 and 24 are the factors of 24.

1 × 24 = 24

2 × 24 = 48

3 × 24 = 72

4 × 24 = 96

and so on...

So, the first 4 multiples of 24 are 24, 48, 72 and 96.

[tex]\rule[225]{225}{2}[/tex]

The solution to all the answers are given below.

The complete question includes

Grades on a standardized test are known to have a mean of 1,000 for students in the Delhi. 453

randomly selected Delhi students take the test, yielding sample mean of 1,013 and sample standard

deviation (s) of 108.

It is given by

Confidence Interval for 95% confidence Interval is given by

[tex]\rm Z = X \pm 1.96 \dfrac{\sigma}{\sqrt{n}}[/tex]

(a) Construct a 95% confidence interval for the mean test score for Delhi students.

The confidence interval is given by

[tex]\rm 1,013 \pm 1.96 \dfrac{\sigma}{\sqrt{n}}[/tex]

[tex]\rm 1,013 \pm 1.96 \dfrac{108}{\sqrt{453}}[/tex]

1013 ± 5.07

so the interval is  [1003.06,1022.94]

(b)Yes, since the null of no difference is rejected at the 5% significance level (interval excludes Delhi sample mean of 1,013)

(c) Another 503 Delhi students are randomly selected to take a 3-hour prep course and then give the test. Their average score is 1,019 with a standard deviation of 95.

The standard deviation now is

[tex]\rm \sqrt{\dfrac{95^2}{453} + \dfrac{108^2}{503}}[/tex]

= 6.61

The interval is given by

[tex](1,019-1,013) \pm 1.96 \dfrac{\sigma}{\sqrt{n}}[/tex]

= [-7,+19]

(d) No, the interval includes 0, the null difference between the two populations

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Answer:

Morgan

Step-by-step explanation:

because the pythagoras theorem is

H

[tex] {h1}^{2} = {b}^{2} + {h2}^{2} [/tex]

where h1=hypotenuse

h2=height

b=base

Answer + Step-by-step explanation:

y= e^x + 1

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Answer:

Step-by-step explanation:

One - third = 1/3

then:

one third of a number = a*1/3 = a/3

Then the equation that represents this sentence is:

2 + a/3 = 8

process:

a/3 = 8 - 2

a/3 = 6

a = 6*3

a = 18

Check:

2 + 18/3 = 8

2 + 6 = 8

Answer:

d because the point satisfied both

Answer:

D

Step-by-step explanation:

Rational exponents are beneficial in removing the root over or radicals

Let's check the rule

Take an example

Answer:

It's because Maya friend did not pass gas

Answer:

p = 2

Step-by-step explanation:

using the rule of exponents

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

[tex](8^{9}) ^{2}[/tex] = [tex]8^{9(2)}[/tex] = [tex]8^{18}[/tex]

so value of p = 2

Answer:

1050 max profit

Step-by-step explanation:

cow 5brr 30br 600 × 6 cows 570

sheep 2brr 20br 500 ×10 sheeps 480

sheep&cows = 1050 max profit

Answer:

n=1

Step-by-step explanation:

-n+4=8n-5

9=9n

n=1

hope that helps

Competitive business firms that earn a loss in the short-run should shutdown if price (P) is lesser than average variable cost (AVC).

An average variable cost (AVC) can be defined as the cost of production per unit item incurred by a business firm and divided by total output of production. Thus, it's calculated by dividing total variable cost (TVC) by total output of production.

As a general rule in Economics, competitive business firms that earn a loss in the short-run are advised to shutdown their production when price (P) is lesser than average variable cost (AVC).

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Answer:

x=-4,8

Step-by-step explanation:

To solve this, we can take the absolute value sign off -4x+8 and make the right side ±24. This makes the equation -4x+8=±24.

Simplifying, we have

[tex]-4x=\pm24-8\\x=\frac{\pm24-8}{-4} \\x=\frac{+24-8}{-4}, \frac{-24-8}{-4} \\x=-4, 8[/tex]

A binomial expression is a two-term algebraic statement with variables, coefficients, exponents, and a constant. The various terms that are possible are a⁷b, b⁸, a⁶b², and a⁸.

A binomial expression is a two-term algebraic statement with variables, coefficients, exponents, and a constant. x² + 4x is an example of a binomial polynomial.

The variable terms that are possible in the expansion of (3a + 4b)⁸ are terms whose sum of powers is equal to 8.

Hence, the various terms that are possible are a⁷b, b⁸, a⁶b², and a⁸.

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Since [tex]x^2 + x + 1 = 0[/tex] means [tex]x^2+x = -1[/tex], we have for any [tex]n[/tex] the recursive relation

[tex]x^n (x^2 + x) = x^{n+2} + x^{n+1} = -x^n \implies x^{n+2} = -x^{n+1} - x^n[/tex]

Let [tex]f(x)=x^{2015}+x^{2013}+x[/tex]. Substitution using the recursive rule generates an alternating power-reduction pattern:

[tex]f(x) = \left(-x^{2014} - x^{2013}\right) + x^{2013} + x = -x^{2014} + x[/tex]

[tex]f(x) = -\left(-x^{2013} - x^{2012}\right) + x = x^{2013} + x^{2012} + x[/tex]

[tex]f(x) = \left(-x^{2012} - x^{2011}\right) + x^{2012} + x = -x^{2011} + x[/tex]

[tex]f(x) = -\left(-x^{2010} - x^{2009}\right) + x = x^{2010} + x^{2009} + x[/tex]

[tex]f(x) = \left(-x^{2009} - x^{2008}\right) + x^{2009} + x = -x^{2008} + x[/tex]

[tex]f(x) = -\left(-x^{2007} - x^{2006}\right) + x = x^{2007} + x^{2006} + x[/tex]

and so on.

Notice that in the equivalent forms of [tex]f(x)[/tex] involving 3 terms, the largest power of [tex]x[/tex] is a multiple of 3, and the next largest power is 1 less. This means after so many iterations of substitutions, we would end up with

[tex]f(x) = x^3 + x^2 + x[/tex]

Then by factorizing, the expression of interest reduces to

[tex]f(x) = x (x^2 + x + 1) = x \times 0 = \boxed{0}[/tex]

Answer:

5.29

Step-by-step explanation:

8

[tex] \sqrt{8 { = }^{2} { - 6 {?}^{2} }^{2} } [/tex]

Answer: Missing side length (b) = 5.3 units

Step-by-step explanation:

Hii, I'd love to help you out! (:

We are provided with two sides, which are:

Luckily, there's a formula to find the third side!

The Pythagorean Theorem ([tex]\pmb{a^2+b^2=c^2}[/tex]) is the formula that we will use to find the missing side. In this formula "a" and "b" denote the "legs" of the triangle (the two shorter sides) and "c" denotes the hypotenuse (the longest side which is  opposite the right angle (the 90 degree angle)

NB: a and b are interchangeable, because a+b is the exact same thing as b+a; c is always the hypotenuse.

Now it's time for us to stick in the values.

[tex]\bigstar\underbrace{\boxed{\sf a=6;\;c=8}}[/tex]

This is what we obtain upon sticking in the values:

[tex]\tt 6^2+b^2=8^2[/tex]

Now we can solve for b.

[tex]\tt 36+b^2=64}\\b^2=64-36\\b^2=28\\b\approx5.3[/tex]

Thus, the value of "b" is 5.3. (Rounded to the nearest tenth, or one decimal place - one digit after the decimal point)

_____________

Hope I helped! Best wishes.

Reach far. Aim high. Dream big.

_____________

[tex]\underbrace[/tex]

The decimal value that express the total percent markdown for the given scenerio are 0.5,0.31,0.09.

Given the total percent markdown for the following scenario, after being rounded to the nearest percent:50%, 31%,and 9%

Percentage is a ratio of the numbers expressed as a fraction of 100.

We have to just convert the percentages into decimal number which will be done as under:

To convert percentages into decimals we need to divide the number by 100. In this way the percentages will become:

50%=50/100

=0.5

31%=31/100

=0.31

9%=9/100

=0.09

Hence the decimal value of 50% ,31 % and 9% in percentages are 0.5,0.31,0.09.

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Answer:0.69

Step-by-step explanation:

Answer: J. A translation of △XYZ to the right.

Step-by-step explanation:

I'll explain each bullet point one by one. A good hint is to pay attention to where the letters are.

-J is correct because the figure was shifted to the right.

-K is incorrect because if it was a reflection across the x-axis, the figure would be in Quadrant 3, or the bottom left.

-L is incorrect because if you pay attention to the letters, they are in the exact same place. If it was a reflection across the y-axis, the X' and Y' would switch places if you know what I mean.

-M is incorrect because if the figure was rotated 90°, point Z' would be furthest from the x-axis. In other words, the triangle would have been pointing up and not down.

-N is incorrect because if the figure was rotated 180° clockwise, the figure would have been in Quadrant 4, or the bottom right.

Given this information, the most appropriate answer is J.

I hope this helps! Pls give brainliest!! :)

Answer:

ln(20) = 2.9957

Here given:

ln(4) = 1.3863

ln(5) = 1.6094

Evaluating with that:

[tex]\rm \Rightarrow ln\left(20\right)=ln\left(5\right)+ln\left(4\right)\\[/tex]

[tex]\rm \Rightarrow ln\left(20\right)=1.3863 \ + \ 1.6094[/tex]

[tex]\rm \Rightarrow ln\left(20\right)=2.9957[/tex]