7x2 - 9x - 10 factor completely

Answer:

y - 7 = 4(x + 3)

Step-by-step explanation:

Write the equation of a line using the point slope formula. Substitute m = 4 and the point (-3,7) in the formula.

[tex]y - y_1 = m(x-x_1)\\y - 7 = 4(x--3)\\y - 7 = 4(x+3)[/tex]

Answer:

551

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex]( first + last)

The number of terms is

[tex]a_{n}[/tex] = a + (n - 1)d ← d is the common difference, a is the first term

d = 5 - 2 = 8 - 5 = 3, hence

2 + 3(n - 1) = 56

2 + 3n - 3 = 56

3n - 1 = 56 ⇒ 3n = 57 ⇒ n = 19

[tex]S_{19}[/tex] = [tex]\frac{19}{2}[/tex] ( 2 + 56 ) = 19 × 29 = 551

Answer:

the answer is 66

Step-by-step explanation:

Theorem :If from one external point, two tangents are drawn to a circle then they have equal tangent segments.

Two tangents DB and BE are drawn to a circle from one point i.e.B

So, Using theorem

DB=BE =10 cm

So, Using theorem  

CF = CE = 15 cm

So, using theorem

AD =FA = 8 cm

Now AC = FA+CF = 8+15=23 cm

CB =BE+EC = 10+15=25 cm

AB = AD+DB=8+10=18 cm

Perimeter of triangle = Sum of all sides  

                                     =AB +CB+AC

                                     = 18 + 25 +23

                                     = 56 cm

Hence the perimeter of ΔACB is 56 cm

Your answer should be A.

Answer:

The answer is C because both ordered pair when they are substituted into the equation, both sides equal to each other.

Explanation:

All you do is substitute. (x,y)

A:

Substitute

11 = 8(1) + 3

Multiply the inside parentheses by the outside number

11 = 8 + 3

Add them together to get the solution.

11 = 11

Both sides equal to each other so that means that it is a solution to the equation.

B:

Substitute

-5 = 8(-1) + 3

Multiply the inside parentheses by the outside number

-5 = -8 + 3

Add them together to get the solution.

-5 = -5

Both sides equal to each other so that means that it is also a solution to the equation.

D:

Both ordered pair gives you an equal solution to both sides.

Answer:

Hi,

These graphs looks like a smooth curve due to the asymptotes,or a straight line to which the graph of the function gets arbitrarily close.

Step-by-step explanation:

Rational functions are in the form of y= f(x) where f(x) is a rational expression. The graphs of rational functions are drawn by first finding the asymptotes and the intercepts. The graph follows a smooth curve that connects the points without crossing the vertical asymptotes. The line is shaped in that shape to satisfy the vertical line test.

Best wishes!

Answer:

n! (n + 2).

Step-by-step explanation:

(n + 1)! =  (n + 1) * n * (n - 1) * (n - 2) .............. * 1.

      n! =   n * (n - 1) * (n - 2) .............. * 1

- so (n + 1)! = (n + 1) * n!

and  (n + 1)! + n!

= n!( n + 1 + 1)

= n! (n + 2).

Answer:it would be infinalty many

Step-by-step explanation:

The statement "There are infinitely many solutions" is true about the solution to the set of equations, as the lines represented are coincident.

To determine the solution to the set of equations, we can solve them simultaneously.

Given:

- Equation of Line A: 3x + 3y = 12

- Equation of Line B: x + y = 4

To find the solution, we can use methods like substitution or elimination. Here, let's use the elimination method:

Multiply the second equation by 3 to match the coefficients of \(y\) in both equations:

3(x + y) = 3(4)

3x + 3y = 12

Now, we can see that both equations represent the same line, so they are coincident or overlapping. Therefore, there are infinitely many solutions.

Hence, the statement "There are infinitely many solutions" is true about the solution to the set of equations.

Rewrite it in the form; a^2 - b^2, where a = 5x and b = 6

(5x)^2 - 6^2

Use the Difference of Squares: a^2 - b^2 = (a + b)(a - b)

(5x + 6)(5x - 6)

To factor 25x^2-36 completely, we use the difference of squares formula which gives us the factorization (5x + 6)(5x - 6).

To factor the expression 25x^2-36 completely, we can use the difference of squares formula. This formula states that a^2 - b^2 can be factored as (a + b)(a - b). In this case, our 'a' value is 5x and our 'b' value is 6. So we can factor 25x^2-36 as (5x + 6)(5x - 6).

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answer: 3x + 6

x + 1 + 2x + 5 = 3x + 6

remember to first distribute the negative to both terms in the second parentheses which makes the 2x and 5 both positive and then just combine like terms . pls mark brainliest

Answer:

3x+6 is the answer

Step-by-step explanation:

Answer:

62.87

Step-by-step explanation:

240-177.13=62.87

If n is negative, we have

[tex] 5+x = n<0[/tex]

So, in particular, we have

[tex]5+x<0 \iff x<-5[/tex]

So, x must be smaller than -5

The true statement about the equation [tex]5+x=n[/tex] is that [tex]5+x=n < 0[/tex] and  [tex]5+x=x < -5[/tex].

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’,

If n is negative, we have

[tex]5+x=n < 0[/tex]

So, in particular, we have

[tex]5+x=x < -5[/tex]

So, x must be smaller than -5

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Answer:

C

Step-by-step explanation:

Let's break down the definitions.

Median = the middle value in the number set

So yes this is an appropriate measure of center.

Mode = the most common value in the number set

Since this can be any number, this isn't an appropriate measure of center.

Mean = average

So yes this can also be an appropriate measure of center.

You can find the prime factorization of 360 by dividing it by 2. Then you get 2 * 180. 180 can be simplified to 2 * 90. 90 can be simplified to 2 * 45. 45 can simplified to 3 * 15. 15 can be simplified to 3 * 5.

The prime factorization of 360 is 2^3 * 3^2 * 5.

You can check that answer. 2^3 = 8 → 3^2 = 9 → 8 * 9 * 5 = 360

Answer:

y= 11x+28, with y being the amount of money Victor has in his savings account and x being the amount of weeks that have passed

Step-by-step explanation:

Victor already has 28 dollars at the beginning so that will be the y-intercept, he'll save $11 every week so that must be the x.

Answer:

the Answer is irrational

Step-by-step explanation:

Answer:

$65

Step-by-step explanation:

Let's add up the flat rate and the cost of four tires:

flat rate + 4($122.57/tire) = $555.28

We are to solve for "flat rate."  First, multiply out 4($122.57/tire), obtaining a tire cost of $490.28 total.  Subtracting this tire cost from the $555.28 Janette paid the shop, we get "flat rate" = $555.28 - $490.28, or $65.

Thus, the installation charge ("flat rate") must have been $65.

I believe that would be 0.4691g

Rolling a six on a die twice in a row is an example of independent events, as the outcome of one roll doesn't affect the outcome of the other, confirmed by applying the Multiplication Rule for independent events in probability theory.

The question is asking whether rolling a six on a die twice in a row is considered a dependent or independent event. In probability theory, two events are considered independent if the occurrence of one does not affect the outcome of the other. In this case, rolling a die twice, the outcome of the first roll does not affect the outcome of the second roll. This is because each roll is a separate event and the die does not have a 'memory' of the previous roll.

Using the Multiplication Rule for independent events, we can confirm this. The Multiplication Rule states that the probability of two independent events happening together (A and B) is the product of their individual probabilities (P(A AND B) = P(A) * P(B)).

Applying this rule to our situation, the probability of rolling a six (A) and then rolling another six (B) is the product of the probabilities of each of these events happening on their own. This is (1/6)*(1/6) = 1/36. The result confirms that the two rolls are, indeed, independent events.

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Step-by-step explanation:

y=5x-1

Because there is no exponent this is linear and not exponential

Answer:

oof, that looks hard

Step-by-step explanation:

Answer:

Divide area by 2

Step-by-step explanation:

the two triangles are half of the paralleogram.

Answer:

-19i + 26j

Step-by-step explanation:

-3 (5i - 6j) + 2 (-2i + 4j)

Distribute/multiply the -3 to everything in the parentheses

-15i + 18j + 2 (-2i + 4j)

Distribute/multiply the 2 to everything in the parentheses

-15i + 18j -4i + 8j

Combine like terms

-19i +26j

Answer: first option.

Step-by-step explanation:

To solve this problem you must plug the function h(x) into the function g(x):

[tex]g(x)=\sqrt{(2x-8)-4}[/tex]

Now you must simplify by adding like terms, as following:

[tex]g(h(x))=\sqrt{2x-12}[/tex]

Substitute x=10 into the fucntion. Therefore, you obtain the following result:

[tex]g(h(10))=\sqrt{2(10)-12}[/tex]

[tex]g(h(10))=2\sqrt{2}[/tex]

Answer:

The correct answer is first option  2√2

Step-by-step explanation:

It is given that, g(x) = √(x - 4) and h(x) = 2x - 8

To find g(h(x))

We have g(x) = √(x - 4) and h(x) = 2x - 8

h(x) = 2x - 8

g(h(x)) =  √((2x - 8)- 4) = √(2x - 12)

To find the value of g(h(10))

g(h(x)) = √(2x - 12)

g(h(10)) = √(2*10 - 12) =√(20 -12) =√8 = 2√2

Therefore the correct answer is first option  2√2

Answer:

After 45.7 years

Step-by-step explanation:

∵ r = 1/2% per year

∵ P0 = $40

∵ Pn = $50

∵ Pn = P0 ( 1 + r/100)^n-1

∵ P0 is initial value , Pn is the value after n years , is the rate

∴ 50 = 40 (1 + 0.5/100)^n-1

∴ 50/40 = (1.005)^n-1

∴ 1.25 = (1.005)^n-1 ⇒ insert ln in both sides

∴ ln(1.25) = (n-1)ln(1.005)

∴ n - 1 = ln(1.25)/ln(1.005)

∴ n = ln(1.25)/ln(1.005)  + 1 = 45.7 years

Answer:

(1) Observe the attached image

(2) [tex]S = \$4,000[/tex]

(3) [tex]x = \$90,000[/tex]

(4) [tex]S = 2100[/tex]

Step-by-step explanation:

(1) Let's call S the salary for the month the seller wins.

Let's call x the amount of dollars reached by the sales of that month.

The seller earns a base salary of $ 2100 per month.

Then, if x> 42,000 he wins a commission of 5% on sales.

Then the equation modeling this situation is:

[tex]S =\left\{{{0.05(x-42,000)+2100\ if\ x>42,000} \atop{2,100\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ if\ 0\leq x\leq42,000}}\right.[/tex]

The graph of the function is shown in the attached image.

(2) If x = 80,000, then your salary was:

[tex]S = 0.05(80000-42000) +2100\\\\S = \$4,000[/tex]

(3) If S was 4500 and we want to find x then we equal S to 4500 and solve for x.

[tex]S = 4,500 = 0.05(x-42,000) + 2,100\\\\\frac{2,400}{0.05} = (x-42,000)\\\\x = \frac{2400}{0.05} +42,000\\\\x = \$90,000[/tex]

(4) S (25000) means that x equals 25000. Since x represents sales, this means that during the month, the seller only reached $ 25,000.

Then [tex]x <42000[/tex]

Therefore [tex]S = 2100[/tex].

Answer:

9.9

Step-by-step explanation:

Given the right angle triangle, we simply apply Pythagoras theorem to determine the length of the remaining side x;

x^2 = 18^2 - 15^2

x^2 = 99

x = sqrt(99) = 9.9

Answer:

9.9

Step-by-step explanation:

To find the value of x, we use the Pythagorean Theorem.

[tex]a^{2}+b^{2}=c^{2}[/tex]

a = x

b = 15

c = 18

[tex]x^{2}+15^{2}=18^{2}[/tex]

[tex]x^{2} + 225 = 324[/tex]

[tex]x^{2}=342-225[/tex]

[tex]x^{2}=99[/tex]

[tex]\sqrt{x^{2} }=\sqrt{99}[/tex]

[tex]x=9.95[/tex]

Answer:

j^13

Step-by-step explanation:

j j j j j j j j j j j j j j

There are 13 j's so we raise j to the 13 power

j^13

Answer:

c

Step-by-step explanation:

lol.................................

that anser you have highlighted it correct

In order to find median, you have to line up the numbers from least to greatest and then find the middle.

Least to greatest:

5 7 7 8 8 13

Answer:

8 + 7 = 15

15/2 =

7.5

Answer:

the median is 7.5

Step-by-step explanation:

put the numbers in order from least to greatest which would be 5, 7, 7, 8, 8, 13

on a sheet of paper write them in order like above ^

then cross out each number on the end like this (you will cross them out, i am going to delete the ones that are needed to be crossed out.)

5 7 7 8 8 13

   7 7 8 8

       7 8

with 7 and 8 add them togethef and you should get 15.

Finally take 15 and divide it by 2 because there is two numbers in the middle and you should get 7.5

your final answer should be 7.5 for the median.

I hope thid helped <33

full question not given...please resend

Answer:

Please include the "recipe" so we can answer the question :/