Yuri thinks 3/4 is a root of the following function.
q(x)=6x^3+19x^2-15x-28
Explain to Yuri why 3/4 cannot be a root.

Answers

Answer 1

Answer:

Since [tex]q(\frac{3}{4}) \neq 0[/tex], 3/4 cannot be a root of q(x).

Step-by-step explanation:

Root of a function:

If [tex]x^{\ast}[/tex] is a root of a function f(x), we have that [tex]f(x^{\ast}) = 0[/tex].

In this question.

We have to find [tex]q(\frac{3}{4})[/tex]. So

[tex]q(\frac{3}{4}) = 6(\frac{3}{4})^3 + 19(\frac{3}{4})^2 - 15(\frac{3}{4}) - 28[/tex]

[tex]q(\frac{3}{4}) = \frac{162}{64} + \frac{171}{16} - \frac{45}{4} - 28[/tex]

[tex]q(\frac{3}{4}) = \frac{162}{64} + \frac{684}{64} - \frac{720}{64} - \frac{1792}{64}[/tex]

[tex]q(\frac{3}{4}) \neq 0[/tex]

Since [tex]q(\frac{3}{4}) \neq 0[/tex], 3/4 cannot be a root of q(x).


Related Questions

please help i am really struggling . i really dont get it thanks :)

Answers

Answer:

I=P-A          

___________________________

PLEASE HELP ME 20 POINTS + BRAINLIEST

Answers

The answer is circle and square

Can someone help me............................

Answers

Answer:

a), and d)

Step-by-step explanation:

[tex](x^{2}) * (\sqrt{x}) = (x^{2}) * x^{1/2} = x[/tex]

— 3х + Зу = - 24
how do i convert to slope intercept form

Answers

Answer:

y = x - 8

Step-by-step explanation:

Slope intercept form:  y = mx + b, where b is the y-intercept.

Solve the given equation for y and then compare the result with this y = mx + b:

3y = 3x - 24

Dividing all three terms by 3 yields:

y = x - 8 (answer).  The slope is 1 and the y-intercept is -8.

which point on the scatter plot represents the outlier ?

Answers

Answer:

The point that represents the outlier is “B”

Step-by-step explanation:

I know it because I just did it and got it right. Hope it helps!

Answer:

B

Step-by-step explanation:

I know because i got it correct

Solving linear equations

Answers

Answer:

1. P = [tex]\frac{I}{rt}[/tex]

2.  y = [tex]\frac{6 - 3x}{11}[/tex] or [tex]\frac{-3x +6}{11}[/tex]         (depending on how you want the equation arranged)

3. c = [tex]\frac{a-bd}{b}[/tex]

4 t = [tex]\frac{A - p }{pr}[/tex]

Step-by-step explanation:

1. I =Prt for P:

I = Prt                           divide both sides by rt to isolate P

P = [tex]\frac{I}{rt}[/tex]

2. 3x + 11y = 6 for y

   3x + 11y = 6                  subtract 3x from both sides

   11y = 6 - 3x                   divide both sides by 11

   y = [tex]\frac{6 - 3x}{11}[/tex] or [tex]\frac{-3x +6}{11}[/tex]         depending on how you want the equation arranged

3. a = b(c + d) for c

   a = b(c + d)                distribute b to (c+d)

   a = bc + bd                subtract bd from both sides

   a - bd = bc                 divide both sides by b

   c = [tex]\frac{a-bd}{b}[/tex]

4. A = p + prt for t

   A = p + prt                   subtract p from both sides

   A - p = prt                    divide both sides by pr

   t = [tex]\frac{A - p }{pr}[/tex]

Please help me?! I don’t have a lot of time? Please I will give brainiest for the correct answer !

Answers

Answer:

It should be -3

Hope it helped i tried to help you ASAP

Step-by-step explanation:

How do you write 246% as a fraction or mixed number?

Answers

Answer:

246/100 as a fraction, and 2 46/100 as a mixed number..

Step-by-step explanation:

Answer: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

2 and 23/50

or as a simplified fraction 123/50

Step-by-step explanation:

Which property is used for the following expression (4x2) x 5 = 2 x (5 x 4) ?

Answers

Associative property

What will be the winning numbers for Mega Millions on 12 February 2021?

Answers

i say maybe 5 or 21 but who knows

can someone give me the slope and y-intercept for this ?

Answers

The slope is equal to the change in y / change in x.

The change in y is always 5 and the change in x is always 1.

So the change in y / change in x is 5/1 or 5.

The y-intercept is the value of y when x = 0.

So the value of y when x = 0 is 2.

According to the rational root theorem, which of the following are possible
roots of the polynomial function below?
F(x) = 4x2 - 6x2 + 9x + 10

A.5/4
B.1/3
C.-1/2
D.5
E.6
F.-2

Answers

Given:

The polynomial function is

[tex]F(x)=4x^3-6x^2+9x+10[/tex]

To find:

The possible roots of the given polynomial using rational root theorem.

Solution:

According to the rational root theorem, all the rational roots and in the form of [tex]\dfrac{p}{q}[/tex], where, p is a factor of constant and q is the factor of leading coefficient.

We have,

[tex]F(x)=4x^3-6x^2+9x+10[/tex]

Here, the constant term is 10 and the leading coefficient is 4.

Factors of constant term 10 are ±1, ±2, ±5, ±10.

Factors of leading term 4 are ±1, ±2, ±4.

Using rational root theorem, the possible rational roots are

[tex]x=\pm 1+,\pm 2, \pm 5, \pm 10,\pm \dfrac{1}{2}, \pm \dfrac{5}{2}, \dfrac{1}{4}, \pm \dfrac{5}{4}[/tex]

Therefore, the correct options are A, C, D, F.

What is the answer to 30% of 50?

Answers

Answer:

15

Step-by-step explanation:

Use the x method or cris cross

In a correlational study, ____.
A. one variable is measured and two groups are compared
B. two variables are measured and two groups are compared
C. one variable is measured and there is only one group of participants
D. two variables are measured and there is only one group of participants

Answers

Answer:

Option B,  two variables are measured and two groups are compared

Step-by-step explanation:

In a correlation study relationship between two variable is established.

The two variables represents two group.

For instance correlation study is conducted to determine the relationship between two variables X and Y

X and Y are variable

While X represents the group "number of cars passing through a lane"

Y represents the group "width of the road".

Hence, Option B is correct  

Tonya drove 343 miles the first day of her trip. how many days will it take her to drive the remaining 1,200 miles if she continues at the same rate?​

Answers

Answer:

3.5 days

Step-by-step explanation:

Given

[tex]Day\ 1 = 343\ miles[/tex]

Required

Number of days to drive 1200 miles

Represent as ratio:

[tex]Day\ 1 = 343\ miles[/tex]

[tex]Ratio = 1 : 343[/tex]

For 1200 miles

[tex]Ratio = x : 1200[/tex]

Equate both ratios

[tex]x : 1200 = 1 : 343[/tex]

Express as fractions

[tex]x/1200 = 1/343[/tex]

Multiply by 120

[tex]x/1200 *1200= 1/343*1200[/tex]

[tex]x= 3.4985[/tex]

[tex]x= 3.5[/tex] --- approximated

Determine whether the graph of the quadratic function y = –3x2 + 2x + 5 opens upward or downward. Explain.

Answers

Answer:

The graph of the function opens downwards.

Step-by-step explanation:

The graph opens upward if the coefficient of x^2 is higher than 0.

But, the coefficient of x^2 (-3) is less than 0.

So the graph of the function opens downwards.

Solve I ready plz I need this one fast

Answers

Answer:

the answer is the 3rd one

Step-by-step explanation:

Find the area of the rhombus

Answers

Answer:

[tex] Area \: of \: rhombus =96\: cm^2 [/tex]

Step-by-step explanation:

[tex] d_1= 2\times 8 = 16\: cm[/tex]

[tex] d_2= 2\times 6 = 12\: cm[/tex]

[tex] Area \: of \: rhombus =\frac{1}{2} d_1d_2[/tex]

[tex] Area \: of \: rhombus =\frac{1}{2}\times 16 \times 12[/tex]

[tex] Area \: of \: rhombus =8 \times 12[/tex]

[tex] Area \: of \: rhombus =96\: cm^2 [/tex]

5. If the cost of two tires is $130,56, how much will it cost to buy ten tires?
A. $1305.60
Tires
B. $652.80
C. $326.40
Cost

Answers

it would be A

Step-by-step explanation:

I'm good at math

The answer is B
Hope this helps

three corners of a square are (1, 7), (5, 3), and (9, 7). What are the coordinates of the fourth corner of the square?

Answers

Answer:

i think the answer is 8

Step-by-step explanation:

Answer:(13, 3)

maybe

Hope it helps

what is the angle of elevation (in degrees) to the nearest degree to the top of a 40ft building 90 ft away ​

Answers

Answer: 24°

Step-by-step explanation:

You have the opposite, the height of the building and the adjacent, the distance from the base of the building. Opposite and adjacent mean you have to use tangent. SOHCAHTOA

Take the inverse tangent on both sides

tan(Ф) = 40/90

Ф = 24°


A turtle is crawling up a hill that rises 6 feet for every horizontal change of 36 feet. Write the slope of the hill as a
fraction in simplest form.

Answers

9514 1404 393

Answer:

  1/6

Step-by-step explanation:

The slope is the ratio of rise to run.

  slope = rise/run = (6 ft)/(36 ft) = 6/36 = 1/6

The slope of the hill is 1/6.

Campsite fees
(per day)
Tent ...... .. $15.00
Caravan ....... $25.00
The sign shows the fees charged at a campsite.
Today there are 54 tents and 18 caravans on the site.
Calculate the fees charged today.​

Answers

Answer:

1260

Step-by-step explanation:

Tents: 15×54=810

Caravans: 25×18=450

450+810=1260

Answer:

$1260

Step-by-step explanation:

Campsite Fees:

Tent - $15 (per day)

Caravan - $25 (per day)

No. of Tents and Caravans today:

Tents - 54

Caravan - 18

Total fees for Tent = 15 x 54

= $810.

Total fees for Caravan = 25 x 18

= $450.

Fees altogether for Today = Total fees for Tent + Total fees for Caravan

= $810 + $450

= $1260

You have 14 tbsp of onion powder. You need 2 tbsp to make one serving of spice rub.how many servings can you make

Answers

Answer:

7 servings

Step-by-step explanation:

If you can make the spice rub with 2 tbsp, then divide 14 by 2 to get 7.

If you need reassurance multiply 7 x 2.

Find the slope of the line passing through the points (-7, 5) and (2,5).

Answers

There is no slope the y axis is the same in both

Answer:

slope = 0

Step-by-step explanation:

Use formula to find the slope: m = (y2 - y1) / (x2 - x1)

Set (x1, y1) = (-7, 5)

Set (x2, y2) = (2, 5)

m = (5 - 5) / (2 - (-7))

m = (5 - 5) / (2 + 7)       FYI, negative * negative = positive

m = 0 / 9

If you plot the coordinates, they'll lie on a horizontal line. Therefore, the slope of the line is 0.

Which value should be added to this data set to produce a mean of 13?
should be added to the data set to produce a mean of 13.

Answers

Is there an image you can add?

,Answer:

18

Step-by-step explanation:

edg 2021, i got this question correct, please mark me brainliest, I hope this helps, sorry for the late reply

Think you can balance this scale?

Answers

Answer:D is the answer

Yes. balancing an unknown mass against a known mass.

Explanation:

Hope it helps

#CARRYONLEARNING

(-2)⁰+(-2)¹+(-2)²+-2)³​

Answers

Answer:

-15

Step-by-step explanation:

-2 to the power 0 = -1

-2 to the power 1 = -2

-2² = -4

-2³ = -8

-1 + -2 + -4 + -8 = -15

Answer is: -5

(-2)^0 + (-2)^1 + (-2)^2 + (-2)^3
1 - 2 + 4 - 8
-5

Alison rolls two number cubes 90 times. How many times is he going to get a sum of 3?

Answers

15

Step-by-step explanation:

Answer:

I think 30 im so sure

Step-by-step explanation:

uhm i think its 90 divided by 3 cuz i looked it up and got 30 so yea bye

Mary Chapman had been working at First Savings for 18 years when she
became permanently disabled and could not continue to work. She was 50 years
old and had planned to retire in 12 years. Her final average salary was $34,500.
First Savings' rate of benefits is 2%. What is Chapman's monthly disability
benefit?

Answers

Answer:

17250

Step-by-step explanation:

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