what is one clue that lets you know that a math problem requires you to do a two steps multi problem?​

Answer:

[tex]\large\boxed{LCM(x^2-2x-15,\ x^2+2x-3)=(x+3)(x-5)(x-1)}\\\boxed{=x^3-3x^2-13x+15}[/tex]

Step-by-step explanation:

[tex]x^2-2x-15=x^2+3x-5x-15=x(x+3)-5(x+3)=(x+3)(x-5)\\\\\\x^2+2x-3=x^2+3x-1x-3=x(x+3)-1(x+3)=(x+3)(x-1)\\\\LCM(x^2-2x-15,\ x^2+2x-3)=(x+3)(x-5)(x-1)\\\\=(x^2-2x-15)(x-1)\qquad\text{use FOIL}\\\\=(x^2)(x)+(x^2)(-1)+(-2x)(x)+(-2x)(-1)+(-15)(x)+(-15)(-1)\\\\=x^3-x^2-2x^2+2x-15x+15\qquad\text{combine like terms}\\\\=x^3+(-x^2-2x^2)+(2x-15x)+15\\\\=x^3-3x^2-13x+15[/tex]

ANSWER

B. (-1,0)

EXPLANATION

The x-intercepts are the points where the graph touches the x-axis.

We can observe from the graph that, the graph touches the x-axis at:

x=-2, x=-1, x=1 and x=2.

Therefore the x-intercepts are (-2,0),(-1,0),(1,0) and (2,0).

From the given options, the only point which is an x-intercept is (-1,0)

The second choice is correct.

The x-intercepts of the graph given in the question is (-1,0). Therefore, the second option is correct.

The x-intercepts are the points on the graph where it intersects the x-axis.

In the graph provided in the question, it is observed that the graph touches the x-axis at x = -2, x = -1, x = 1, and x =2.

Therefore, the intercepts of the x-axis are (-2,0),(-1,0),(1,0), and (2,0). So, from the given options (-1,0) is satisfied,

The second option is correct.

Learn more about intercepts here:

https://brainly.com/question/14180189

#SPJ6

i think its x = 10, -2

Answer:

The answer to your question is -4

Step-by-step explanation:

:)

Answer: A. 1 inch high and 5 inches wide.

Step-by-step explanation:

If you divide both sides by 5, you get 1 and 5, which makes it an equal representation,

Davis spent a total of $755 on buying and refurbishing the cycle, which he sold for $900. He made a gain of $145 on the sale.

To calculate Davis's gain or loss from buying and selling the second-hand cycle, we need to determine the total cost he incurred and compare that to the sale price. First, we add the purchase price of the cycle to the cost of repairs and repainting:

The total cost Davis incurred is $500 + $80 + $175, which equals $755.

Next, we must compare this to the sale price, which is $900. To find the gain, we subtract the total cost from the sale price:

$900 - $755 = $145

Therefore, Davis made a gain of $145 from this transaction.

Davis gained $145 by selling the cycle for $900 after incurring a total expense of $755 on its purchase, repairs, and repainting.

To calculate whether Davis made a gain or a loss from buying and selling the cycle, we need to consider the total cost of the cycle (including repairs and repainting) and the selling price. First, we add up the initial cost of the cycle ($500), the cost of repairs ($80), and the cost of repainting ($175). This will give us the total cost. Then, we subtract this total cost from the selling price ($900).

Total cost = Cost of cycle + Repairs + Repainting = $500 + $80 + $175 = $755

Profit or Loss = Selling price - Total cost = $900 - $755

Profit or Loss = $900 - $755 = $145

Davis gained $145 from this transaction because the selling price was higher than the total cost.

Answer:

The expression is [tex](4)*(3)+(1)*(1)[/tex]

Step-by-step explanation:

we know that

The algebraic expression of the phrase " the sum of the products of 4 and 3 and 1 and 1" is equal to

[tex](4)*(3)+(1)*(1)[/tex]

[tex]=(12)+(1)[/tex]

[tex]=13[/tex]

Answer:

  A.  3√(7/5) +√(-9/5)

Step-by-step explanation:

The square root of a negative number is imaginary. Only answer choice A contains any imaginary numbers, so only answer choice A is complex.

Final answer:

The scale factor from Solid A to Solid B is found by taking the cube root of the ratio of their volumes, resulting in approximately 0.6996.

Explanation:

The question involves finding the scale factor between two similar solids based on their volumes. Since the volumes of similar solids are related by the cube of the scale factor, we can find the scale factor by taking the cube root of the ratio of their volumes. Solid A has a volume of 171.5 m³, and Solid B has a volume of 500 m³. To find the scale factor from Solid A to Solid B, we calculate the cube root of (171.5/500), which will give us the linear scale factor.

The formula we use is:

Scale Factor (k) = ∛(Volume of Solid A / Volume of Solid B)

k = ∛(171.5 m³ / 500 m³)

k ≈ ∛(0.343) ≈ 0.6996

Therefore, the scale factor of Solid A to Solid B is approximately 0.6996.

Hello There!

The answer to adding 3/14 and 1/7 together give you a sum of 5/14

STEP #1 The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

STEP #2 Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

Answer: (2x + 5)(2x - 5)

Answer:

(2x - 5) and (2x + 5)

Step-by-step explanation:

There's a special formula for factoring the difference of two squares:

a^2 - b^2 = (a - b)(a + b).

Thus,

4x^2 - 25 is the same as (2x)^2 - (5)^2, and the two factors are:

(2x - 5) and (2x + 5).

Answer:

y = (-3/2)x - 4

Step-by-step explanation:

If y = (2/3)x + 9, the slope is 2/3.  Any line perpendicular to this line would have the slope -3/2, which is the negative reciprocal of 2/3.

If the perpendicular line passes thru (-6, 5), then the equation in slope-intercept form would be:

y = mx + b, or (here) 5 = (-3/2)(-6) + b.  From this we see that b = -4, and the desired equation is y = (-3/2)x - 4 (Answer Choice #3)

Answer:

A) cotx = cosx/sinx    

C) tanx = 1/cotx

Step-by-step explanation:

A)

cosx/sinx = 1/(sinx/cosx) = 1/tanx = cotx

Therefore, cotx = cosx/sinx  

C)

Similarly;

1/tanx = cotx

Therefore,

1 = tanxcotx

1/cotx = tanx

and

tanx = 1/cotx

B) cscx=1/cosx is not true since;

1/cosx = secx

and

cscx = 1/sinx

Answer:

the first one is the answer

Step-by-step explanation:

Answer:

the data is discrete, so the points are connected with a line

Step-by-step explanation:

D. Inequality

An expression would just contain simple arithmetic without any symbols relating two things to another.

An equation must contain an equals sign.

A fraction will have a bar representing division.

An inequality contains a sign representing a comparison of magnitude, in this question less than <.

Hope this helps!!

Hello There!

This would certainly be true.

The horizontal axis on a coordinate graph is called the X axis

And the vertical line is called the y axis.

Answer:true

Step-by-step explanation:

Horizontal axis on a graph is labeled the x-axis while the vertical axis is labeled the y-axis. Where they intersect is called the origin

Answer:-(3x+5)^2

Step-by-step explanation:

The polynomial is factored to give (-3x -5)(3x + 5)

From the information given, we have that the polynomial is given as;

-9x - 30x-25

Now,  multiply the constant value by the coefficient of x squared in the expression, we have;

-9(-25)

225

Now, find the pair factors of 225 that adds up to -30

Then, substitute the values, we get;

-9x² - 15x - 15x - 25

Group in pairs, we get;

(-9x² - 15x ) - (15x - 25)

Factorize the expressions

-3x(3x + 5) - 5(3x + 5)

Then, we have;

(-3x -5)(3x + 5)

Learn about factorization at: https://brainly.com/question/25829061

#SPJ2

Answer:

-1154

Step-by-step explanation:

(-554) - 600 = -1154

We have

[tex] a_n = 3n - 2[/tex]

We're asked for [tex] a_{90}[/tex]

[tex]a_{90} = 3(90) - 2 = 268[/tex]

Answer: C 268

Answer:

4153

Step-by-step explanation:

Let the original number be  [tex]\overline{abc3}[/tex]  [a is the number of thousands, b - the number of hundreds, c - the number of tens, 3 - the number of ones]

If you put the number 3 in the first position, the number will be [tex]\overline{3abc}[/tex]

New number is 738 less than old number.

When you subtract from 3 some number c and get 8, then you have to lend one ten and subtract this number c from 13. So, 13-5=8. Thus, c=5. Remember about lending! Now when you subtrat from 4 (not 5 because of lending) some number b and get 3, then b=1. Now when you subtract from 1 some number a and get 7, then you have to lend 1 from the number of thousands and subtract a from 11 to get 7, thus 11-4=7 and a=4.

We get initial number 4153 and  rewritten number 3415. Check the difference:

4153-3415=738

Answer:

4153

Step-by-step explanation:

Answer:

Yes. Hexagon is 10 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56[/tex]

[tex]5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}[/tex]

[tex]6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}[/tex]

Answer:

The correct option is D.

Step-by-step explanation:

It is given that the table represents the total price including parking, p(t), for family fair packages with various numbers of included tickets, t.

t     :  0    10      20     30     40     50

P(t) : 15   27.5   40    52.5   65   77.7

Choose any points from the table. (0,15) and (10,27.5).

The equation of function is

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-15=\frac{27.5-15}{10-0}(x-0)[/tex]

[tex]y-15=\frac{12.5}{10}(x)[/tex]

[tex]y-15=1.25x[/tex]

Add 15 on both the sides.

[tex]y=1.25x+15[/tex]

[tex]P(t)=1.25t+15[/tex]

The family has a budget of $90.

[tex]P(t)\leq 90[/tex]

[tex]1.25t+15\leq 90[/tex]

Subtract 15 from both the sides.

[tex]1.25t\leq 75[/tex]

Divide both sides by 1.25.

[tex]t\leq 60[/tex]

Domain is the set of inputs or the values of t.

[tex]Domain=\{t|0\leq t\leq 60,t\in W\}[/tex]

Range is the set of outputs or the values of function p(t).

[tex]Range=\{P(t)|15\leq P(t)\leq 90,P(t)\in R\}[/tex]

Therefore the correct option is D.

Final answer:

The correct restricted domain is all whole numbers from 0 to 50 inclusive, and the restricted range is all real numbers from 15 to 77.5 inclusive, given the family's budget constraint of $90. Therefore, the correct option is B.

Explanation:

The problem presented involves determining the restricted domain and range of a function p(t) that reflects the total price, including parking, for family fair packages with a varying number of included tickets (t). Considering the family's budget of $90, we must identify the correct domain and range within this context. The domain here is the number of tickets, which can only take on certain specified values, and the range is the pricing associated with those ticket amounts. The possible ticket numbers (t) are 0, 10, 20, 30, 40, 50, and the corresponding prices (p(t)) are 15, 27.5, 40, 52.5, 65, 77.5.

Considering the given budget constraint, the domain and range must also not exceed $90. Thus, we exclude any ticket numbers or prices above this threshold when determining the domain and range. The correct answer to the question is B: The domain is restricted to all whole numbers from 0 to 50 inclusive. The range is all real numbers from 15 to 77.5 inclusive since these are the observed outputs from the function p(t) within the family's budget.

Step-by-step explanation:

work work work :)

Love you

Answer:

This is the answer

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If you drew a line of best fit to encompass all the data points it would be a line that has a negative slope. The correlation coefficient would be negative.

The option (D) the data shows a negative linear relationship because the slope of the line is negative.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

As we can see in the picture, the dots pattern are going up to down if we draw a line of best fit.

The slope of the line will be negative.

We can say the relationship between car's value and car's age is negative correlated.

Thus, the option (D) the data shows a negative linear relationship because the slope of the line is negative.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ2

Answer:

[tex]x=n\pi[/tex] or [tex]x= \frac{(2n\pm1)\pi}{2}[/tex], where [tex]n\ge0[/tex]

Step-by-step explanation:

The given trigonometric equation is:

[tex](\sin x)(\cos x)=0[/tex]

By the zero product principle;

Either [tex]\sin x=0[/tex] or [tex]\cos x=0[/tex]

When  [tex]\sin x=0[/tex],  then [tex]x=n\pi[/tex]

When [tex]\cos x=0[/tex], then [tex]x=2n\pi \pm \cos^{-1}(0)[/tex]

This implies that: [tex]x=2n\pi \pm \frac{\pi}{2}[/tex]

Therefore the general solution is  [tex]x=n\pi[/tex] or [tex]x= \frac{(2n\pm1)\pi}{2}[/tex], where [tex]n\ge0[/tex]

Answer:

B. pi divided by two plus n pi comma n pi such that n equals zero, plus or minus one, plus or minus two to infinity

Step-by-step explanation:

Given equation,

[tex](sin x)(cosx)=0[/tex]

[tex]\implies sinx=0\text{ or }cosx=0[/tex]

[tex]x=sin^{-1}(0)\text{ or }x=cos^{-1}(0)][/tex]

[tex]x=\pi, 2\pi, 3\pi,......\text{ or }x=\frac{\pi}{2}, \frac{3\pi}{2}, \frac{5\pi}{2}....[/tex]

[tex]\implies x = n\pi\text{ or }x=\frac{\pi+2n\pi}{2}[/tex]

Or

[tex]x=n\pi\text{ or }x= \frac{\pi}{2}+n\pi[/tex]

Where, n = 0, 1, -1, -2, ........∞

Hence, option 'B' is correct.

Perimeter is the outside dimensions.

There are two sides 5z and two sides 4z +3.

5z +5z +4z+3 + 4z +3 = 186

Combine like terms:

18z + 6 = 186

Subtract 6 from both sides:

18z = 180

Divide both sides by 18:

z = 180 / 18

z = 10

Answer:

x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

To eliminate the fraction multiply all terms on both sides by 3

(x - 3) - 3x + 9 = 6(x - 1) ← distribute parenthesis on both sides

x - 3 - 3x + 9 = 6x - 6

- 2x + 6 = 6x - 6 ( subtract 6x from both sides )

- 8x + 6 = - 6 ( subtract 6 from both sides )

- 8x = - 12 ( divide both sides by - 8 )

x = [tex]\frac{-12}{-8}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5

Answer:

1. books | the first place to look when researching a speech-by-step explanation

2. encyclopedia | source of current information

3. almanac | provides statistical information on a variety of subjects

4. atlas | provides geographical data

5. periodical | most commonly used reference work

6. newspaper | source of current international, national, and local news

7. bibliography | list of related sources

8. mind map | collection of related ideas

9. thesis statement | a one-sentence summary of the speech

10. statement of purpose | identifies the expected reaction or response of the audience

Explanation:

1. Books are written texts which contain mostly all the detailed information, hence its the first place to look when researching for a speech

5. Periodicals are mainly journals, articles or magazines so we often use it as reference

8. Mind map is usually collection of all many ideas, major ideas.

9. Thesis statement is used at the first paragraph of an essay or speech which usually summarizes the entire speech in one sentence.

Answer:

1. books - the first place to look when researching a speech. 

2. encyclopedia - collection of related ideas. 

3. almanac - provides statistical information on a variety of subjects. 

4. atlas - provides geographical data.

5. periodical - source of current information.

6. newspaper - source of current international, national, and local news list of related sources.

7. bibliography - most commonly used reference work.

8. mind map - list of related sources 

9. thesis - statement a one-sentence summary of the speech 

10. statement of purpose - identifies the expected reaction or response of the audience.

To find the probability of a randomly chosen person playing baseball in a country, you need to use the given probabilities and conditional probability formula.

To find the probability that a randomly chosen person from this country plays baseball, denoted as B:

The probability that a randomly chosen person from the country plays baseball is 0.068.

To find the probability that a randomly chosen person from a particular country plays baseball, we will use the given information and apply Bayes' theorem.

We are given:

We are asked to find the probability that a randomly chosen person is a baseball player (P(B)).

Using Bayes' theorem, we can express P(B) as P(L and B) / P(L | B). Plugging in the known values:

P(B) = P(L and B) / P(L | B) = 0.017 / 0.250 = 0.068

Therefore, the probability that a randomly chosen person plays baseball is 0.068, precise to three decimal places.

Answer:

The hypotenuse is  [tex]\sqrt{2}[/tex] times as long as either leg

Step-by-step explanation:

a true statement about a 45-45-90 triangle

The common ratio of 45-45-90 degree triangle is

x:x:[tex]\sqrt{2}x[/tex]

Suppose the value of x is 1  then the ratio becomes

1:1:[tex]\sqrt{2}[/tex]

1 is the side length of the triangle and [tex]\sqrt{2}[/tex] is the hypotenuse

The hypotenuse is  [tex]\sqrt{2}[/tex] times as long as either leg

Answer:

D

Step-by-step explanation: