The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?

x – 2
x – 4
x – 6
x – 8

Answer:

1. x =(3-√257)/4=-3.258

2. x =(3+√257)/4= 4.758

Step-by-step explanation:

irst add  

x

to both sides of the second equation to get:

y = x + 3

Then substitute this expression for  y  into the first equation to get:

29 = x 2 + ( x + 3 ) 2 = 2 x 2 + 6 x + 9

Subtract  29  from both ends to get:

0 = 2 x 2 + 6 x − 20

Divide both sides by  2  to get:

0 = x 2 + 3 x− 10 = ( x+ 5 ) ( x − 2 )  

So  x = 2 or  x = − 5

If  x = 2  then  y = x + 3 = 5 .

If  x = − 5  then  y=x + 3 = − 2

So the two solutions  

( x, y )  are  ( 2 , 5 )  and  ( − 5 , − 2 )

Answer:

The table representing Relationship B is option 2

[tex]\begin{array}{ccc}Time \ (min)&&Temperature \ (^{\circ}C)\\2&&60.6\\3&&64.3\\7&&79.1\\9&&86.5\end{array}[/tex]

Step-by-step explanation:

The relationship shown by Relationship A and Relationship B = The change in the temperature for a pot of water om the stove

The rate of Relationship B > The  rate of Relationship A

The table for relationship A is given as follows';

[tex]\begin{array}{ccc}Time \ (min)&&Temperature \ (^{\circ}C)\\2&&61.3\\3&&64.9\\7&&79.3\\9&&86.5\end{array}[/tex]

The time in minutes are the x-values, while the temperature in °C Ere the y-values

The rate for Relationship A, [tex]m_A[/tex] = (86.5 - 61.3)/(9 - 2) = 3.6

Therefore, the rate for Relationship B > 3.6

By checking each option, we note that in option 2, the maximum value for the y-value is the same as for Relationship A, which is 86.5°C, while the minimum value for the time, t, is lesser than that for Relationship A, (60.6 minutes < 61.3 minutes) therefore, we get;

The rate for option 2 = (86.5 - 60.6)/(9 - 2) = 3.7

Therefore, the table that represents the Relationship B is the table for option 2

[tex]\begin{array}{ccc}Time \ (min)&&Temperature \ (^{\circ}C)\\2&&60.6\\3&&64.3\\7&&79.1\\9&&86.5\end{array}[/tex]

Answer:

answer is b

Step-by-step explanation:

got it right on khan

The domain of the function g(x) = √(8x) is all real numbers greater than or equal to 0, which can be expressed as [0, +∞).

option B is correct.

Here, we have,

The domain of a function refers to the set of all possible input values (x-values) for which the function is defined.

For the given function g(x) = √(8x), the function is defined as long as the expression inside the square root (√) is non-negative.

In this case, the expression inside the square root is 8x.

To ensure that it is non-negative, we need 8x ≥ 0.

Solving the inequality, we find:

8x ≥ 0

x ≥ 0/8

x ≥ 0.

Therefore, the domain of the function g(x) = √(8x) is all real numbers greater than or equal to 0, which can be expressed as [0, +∞).

To learn more on function click:

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Answer:

991

Step-by-step explanation:

We are looking for a number that is one more than a multiple of 9(denoted by the 9k) and is a three digit number. We can start by looking for 3-digit number divisible by 9 which are close to 1,000, since that is the next number larger than the largest three-digit number. We can tell that 999 is divisible by 9 because when divided it does not leave a remainder(you can also figure this out with divisibility tricks). We add one to get 1,000. This is not a three-digit number,  so we need to look for a smaller multiple of 9. Subtracting 9 from 999, we get the next largest multiple of 9. We can add 1, and this time, the number, 991, is a three digit number, and the largest that can be in the form 9k + 1.

Step-by-step explanation:

The Answer is (x-9) (x-3) Factor 12 and 27 out.

Answer:

[tex]x^{2} -12x+27=[/tex]

[tex](x-3)and\:(x-9)[/tex]

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hope it helps...

have a great day!!

Answer:

11. 90

12. 90

13. 90

14. 90

15. 180

16. 135

17. 225

18. 270

Step-by-step explanation:

Answer:

BC=90

AC=90

AE=90

EB=90

ACB=180

AD=135

CBF=225

ADC=270

Step-by-step explanation:

for numbers 11-14 they're all linear pairs which means they're each 90 degrees

and as long as O is the center point, all the arcs are the same value as the degree.

for numbers 16-17 you can assume that line FO and DO bisects the right angles which makes them 45 degrees

and for 18, you just multiply 3 and 90 degrees

Answer:

a. [tex]\frac{4\pi }{3}[/tex]

b. 240

Step-by-step explanation:

all you have to do to find a coterminal angle is to add or subtract 360 or [tex]2\pi[/tex] from the angle, so:

a. [tex]\frac{10\pi }{3} -2\pi =\frac{4\pi }{3}[/tex]

b. -120 + 360 = 240

=================================================

Explanation:

Consider something like 2b+6 factoring to 2(b+3). When we distribute that outer 2 back inside the parenthesis, we're multiplying that 2 by everything inside. Factoring goes in reverse of this and we divide each term of 2b+6 by the GCF 2.

The same thing applies to this current problem as well.

Divide each term by the -1.8 we want to factor out.

The results -2b and 5 will go inside the parenthesis. That's how we end up with -1.8(-2b+5)

You can use distribution to verify this

-1.8(-2b+5)

-1.8*(-2b) - 1.8*(5)

3.6b - 9

Answer:

R= -50t^2 + 300t

-50tt(t-6)

-50(t-12)

so lets say that they sold 10 dollar tickets

-5000(4)

so they would lose -20000 dollars

-50(-2)

and the play would cost 100 dollars

Hope This Helps!!!

Given:

The given expression is:

[tex](-4x+9)^2[/tex]

According to Kylie,

[tex](-4x+9)^2=(-4x)^2+(9)^2[/tex]

[tex](-4x+9)^2=16x^2+81[/tex]

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

[tex](-4x+9)^2[/tex]

According to the perfect square trinomial [tex](a+b)^2=a^2+2ab+b^2[/tex].

[tex](-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2[/tex]

[tex](-4x+9)^2=16x^2-72x+81[/tex]

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

Answer:C, Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Step-by-step explanation:

Answer:

I think it is 52 degrease

Step-by-step explanation:

Answer:

9= 512m/1000m

SIMPLIFY IT

Step-by-step explanation:

D. 11520m

Answer:

Solution given:

initial velocity[u]=480m/s

g=10m/s²

maximum height=?

now

we have

maximum height=[tex]\frac{u²sin²\theta}{2g}[/tex]

where

[tex]\theta=90°[/tex]

=[tex]\frac{480²*sin90}{2*10}=11520m[/tex]

Answer:

8.42

Step-by-step explanation:

* means multiply

31.65/5.45 = x/1.45

5.45x = 31.65 * 1.45

5.45x = 45.8925

x = 45.8925/5.45

x = 8.42064220183

Answer:

b ≈ 48.6°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin b = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{12}[/tex] , then

b = [tex]sin^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 48.6° ( to 1 dec. place )

Answer:

[tex]2 + (t + 6) < 12[/tex]

[tex]2 + t + 6 < 12[/tex]

[tex]t + 8 < 12[/tex]

[tex]t < 12 - 8[/tex]

[tex]t < 8[/tex]

Answer:

For two vectors to be orthogonal it means that their dot product must be equal to zero.

Usually dot product of perpendicular vectors is zero and thus all perpendicular vectors are orthogonal.

Answer:

I think 3 but I am not pretty sure man .

Bonjour,

x est un nombre d'ordinateurs: il est donc un naturel (x € N)

y is the pay cost : y=3*x ==> y€ 3N ⊂ N

Answer last reply : 4.

Answer:

B.

Step-by-step explanation:

Since the numbers in the root is all the same, lets say [tex]\sqrt{2}[/tex] is a variable.

7x[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{2}[/tex] + x[tex]\sqrt{2}[/tex]

Group with like terms:

7x[tex]\sqrt{2}[/tex] + x[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{2}[/tex]

Combine like terms:

8x[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{2}[/tex]

There you have it! Since all the square roots are the same thing, we can treat them like variables.

the answer is B..................

Answer:

y=|x -3| -1

Step-by-step explanation:

Answer:

69??

Step-by-step explanation:

.

Answer: It would still be 69.

Step-by-step explanation: When you add the both of the 69's together you would get 138 but when you subtract 69 you end up with 69 so therefore it's still 69.

Answer:

38

Step-by-step explanation:

6⅓÷⅙

change 6⅓ to improper fraction

19/3÷1/6

keep the first fraction, change the division sign to multiplication and reciprocate/flip the second fraction

19/3× 6/1

the denominator 3 and numerator 6 will simplify/cancel each other

the new fraction is now: 19/1 × 2/1

there is no need to multiply the denominators because it will still be equal to 1 so we just need to multiply the numerators by each other

19×2=38 OR 38/1 (both answers are the same)

Answer:

9

Step-by-step explanation:

x = 1

y = 4

x + 2y = 1 + 8 = 9

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

9

Step-by-step explanation:

x + 2y

subtitute:

1 + 2(4)

simplify:

1 + 8 = 9

Answer:

50 and 150

Step-by-step explanation:

Raheem- (2x+50)

Usman- x

(2x+50)+x=200

3x+50=200

3x=150

x=50

plug in the numbers

Answer:

Step-by-step explanation:

Third graph because when x is greater than two the lines slants up

Answer: Approximately 5.22%

========================================================

Work Shown:

A = true value = 13.4 seconds

B = measured value (erroneous value) = 14.1 seconds

C = percent error

C = [ (B-A)/A ] * 100%

C = [ (14.1-13.4)/(13.4) ] * 100%

C = 0.0522 * 100%

C = 5.22%

This value is approximate.

Answer:

[tex] \rm Numbers = 4 \ and \ -3.[/tex]

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]

Hence the numbers are 4 and -3.

Answer:

-3,4 are the TWO integers whos product is -12 and whose sum is 1.

Step-by-step explanation:

-3×4=12

-3+4=1

9514 1404 393

Answer:

  WR ≅ WX

Step-by-step explanation:

To use the SAS postulate, you need congruent sides bounding a congruent angle.

Here, side WP is one side of one of the vertical angles, ∠PWR, so you need the other side of that angle: WR. The corresponding side in triangle VWX is WX. That is, for SAS, you need WR ≅ WX.

Answer:

5y=4x

Step-by-step explanation: