If p(t)=5t4+17t3–8t2+13t–12, use synthetic division to find p( – 4).

Answers

Answer 1

Answer:

the value of this function p(t) at t = -4 is also 0

Step-by-step explanation:

Recall that synthetic division in a problem such as this one returns a remainder, which is sometimes zero and is sometimes not.  If not, then the remainder is the value of the given polynomial when evaluated at a given argument.  We are to determine the remainder here when t = -4:

Setting up synthetic division:

-4    /    5    17    -8    13    -12

                 -20   12   -16    12

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

           5      -3     4     -3      0

Since the remainder is 0, the value of this function p(t) at t = -4 is also 0.


Related Questions

Find the value of x. Round to the nearest tenth. Assume that segments appearing to be tangents are tangent to the circle.

Answers

Answer:

x=8.4

Step-by-step explanation:

[tex](2x)^{2} +12.6^{2} =21^{2} \\\\4x^{2} +158.76=441\\\\4x^{2}441-158.76\\\\4x^{2} =282.24\\\\x^{2} =70.56\\\\x=8.4[/tex]

hope it helps....

have a great day :)

Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=

Answers

Answer:

y = 5x - 40

Step-by-step explanation:

The function rule can be written in slope-intercept form, y = mx + b.

Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.

✔️Slope (m) = change in y / change in x

Using two pair of values from the table, (10, 10) and (12, 20),

Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5

Slope (m) = 5

✔️ y-intercept (b):

Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.

Thus:

10 = 5(10) + b

10 = 50 + b

10 - 50 = b

b = -40

✔️Write the function by substituting m = 5 and b = -40 into y = mx + b

Thus:

y = 5x + (-40)

y = 5x - 40

EFGH is translated 3 units to the left and 7 up. what are the coordinates of H?

Answers

Answer:

B

Step-by-step explanation:

The coordinates of H will be (3,5)

The formula for this is

(x,y) —> (x-3, y+7)

This is because the x value is what moves left and right and the y value moves up and down

Factorice lo siguiente
5

Answers

Answer:

61

Step-by-step explanation:

marque esta respuesta como la más inteligente

Find the diameter of a circle with the given dimensions. 1. d = 6 cm

Answers

But the diamerter equals d, so 6.

Answer:

its 6

Step-by-step explanation:

because your finding the diameter.

Classify this triangle by its sides and angles.

Answers

Answer:

obtuse equilateral

Step-by-step explanation:

shapes are easy :)

Answer:

obtuse scalene      give crdit to the answer above

A new apartment complex is opening in College Station. The rent for each apartment is determined by its size: $1,500 for a 3-bedroom apartment, $900 for a 2-bedroom, and $500 for 1-bedroom. If all the apartments are occupied for one month, the rent revenue will be $750,000. There are 200 more 1-bedroom apartments than the number of 2-bedroom and 3-bedroom apartments combined. There are a total of 1,550 bedrooms for all 1,000 apartments. Which system of equations can be used to determine the number of 1-bedroom apartments (x), the number of 2-bedroom apartments (y), and the number of 3-bedroom apartments (z)?

Answers

Answer:

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Step-by-step explanation:

I bedroom = x

2 bedroom = y

3 bedroom = z

All the condition s gjvbbs'

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and (174, 178) on his line to find the equation. What is the equation of Bob’s line? If entering decimal values, round to the tenths place.

What does Bob’s equation predict for the height of a person with an arm span of 162 cm? If entering a decimal value, round to the tenths place.

Answers

Answer:a

Step-by-step explanation:

Answer:

y = (10/9)x - 138/9

Height of 164.7 cm for an arm span of 162 cm

Step-by-step explanation:

First we find the slope.  (178 - 168)/(174 - 165) = 10/9

Now use the point-slope form of a line

y - 168 = 10/9(x - 165)

9y - 9(168) = 10(x - 165)

9y - 1512 = 10x - 1650

9y = 10x - 138

y = (10/9)x - 138/9

If the arm span is 162 cm, then x = 162

y = (10/9)(162) -138/9

= 180 - 15.3

 = 164.7 cm

select the statement that does not correctly use probability to describe an event

Answers

Answer:

D

Step-by-step explanation:

Probability is, by definition, a number between 0 and 1, which can be expressed as a fraction or a percentage. For example, the odds of getting heads if you throw a fair coin are 50%, or ½. The odds of not getting heads are 1-½=½.

If the probability of something happening is 1, it means that that thing will happen for sure. Likewise, if the probability of an event is 0, it means that the event will never happen.

You can therefore easily understand that it doesn't make sense to have a probability greater than 1, as we have in choice D.

The answer is the fourth one .....


 HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

Step-by-step explanation:

Use the quadratic formula to find the solutions.

b

±

b

2

4

(

a

c

)

2

a

-

b

±

b

2

-

4

(

a

c

)

2

a

Substitute the values

a

=

2

a

=

2

,

b

=

6

b

=

-

6

, and

c

=

5

c

=

5

into the quadratic formula and solve for

x

x

.

6

±

(

6

)

2

4

(

2

5

)

2

2

6

±

(

-

6

)

2

-

4

(

2

5

)

2

2

Simplify.

Tap for fewer steps...

Simplify the numerator.

Tap for fewer steps...

Raise

6

-

6

to the power of

2

2

.

x

=

6

±

36

4

2

5

2

2

x

=

6

±

36

-

4

2

5

2

2

Multiply

4

-

4

by

2

2

.

x

=

6

±

36

8

5

2

2

x

=

6

±

36

-

8

5

2

2

Multiply

8

-

8

by

5

5

.

x

=

6

±

36

40

2

2

x

=

6

±

36

-

40

2

2

Subtract

40

40

from

36

36

.

x

=

6

±

4

2

2

x

=

6

±

-

4

2

2

Rewrite

4

-

4

as

1

(

4

)

-

1

(

4

)

.

x

=

6

±

1

4

2

2

x

=

6

±

-

1

4

2

2

Rewrite

1

(

4

)

-

1

(

4

)

as

1

4

-

1

4

.

x

=

6

±

1

4

2

2

x

=

6

±

-

1

4

2

2

Rewrite

1

-

1

as

i

i

.

x

=

6

±

i

4

2

2

x

=

6

±

i

4

2

2

Rewrite

4

4

as

2

2

2

2

.

x

=

6

±

i

2

2

2

2

x

=

6

±

i

2

2

2

2

Pull terms out from under the radical, assuming positive real numbers.

x

=

6

±

i

2

2

2

x

=

6

±

i

2

2

2

Move

2

2

to the left of

i

i

.

x

=

6

±

2

i

2

2

x

=

6

±

2

i

2

2

Multiply

2

2

by

2

2

.

x

=

6

±

2

i

4

x

=

6

±

2

i

4

Simplify

6

±

2

i

4

6

±

2

i

4

.

x

=

3

±

i

2

x

=

3

±

i

2

The final answer is the combination of both solutions.

x

=

3

2

+

i

2

,

3

2

i

2

x

=

3

2

+

i

2

,

3

2

-

i

2

A health club manager wants to determine whether the members would prefer a new sauna or a new steam room. The club surveys 50 of its 600 members. What is the population of this study? The population is all 50 members of the health club. The population is all 600 and 50 members of the health club. The population is all 600 members of the health club. The population is all 30,000 members of the health club.

Answers

Answer:

The population is all 600 members of the health club

Explanation:

50 members were chosen out of all 600 members thereby telling us that the sample of the study/survey is 50 members while the population is all 600 members. A sample represents the population and is collected from the population to make it less tedious to study and make conclusions on the population. For example, given that the population of a study are individuals or objects of common characteristics, 50 members tell the needed story and relays the characteristics and/or definition of the whole population, thereby forming a basis to make a conclusion on the population.

20% of 49 is?
NEED HELP

Answers

Answer:

Step-by-step explanation:

20% of 49 = [tex]\frac{20}{100}*49=0.2*49=9.8[/tex]

What is the answer? i dont get it

Answers

I think it’s 92% not to sure tho
once you graph it, it’s exponential decay. (can I get brainliest?)

if 5 bags of sugar with equal weight weigh 35 kg, how many bags of sugar would weigh 56 kg?​

Answers

Answer:

8 bags

Step-by-step explanation:

If 5 bags equal 35 kg, then each bag will weigh 35/5 or 7 kg. If there are 56 kg and you want to find the number of bags, you divide 56 by 7 and you get 8.

Which number line represents the solutions to 1-2x1 = 4?
+
4
-10-8-6-4-20
2
6
8
10
f
+ +
-10 -8 -6 -4 -2 0
+
6
+
8
2
4
10
+
O Att
-10-8-6-4-20
+
6
2
4
8
10
+
-10 -8 -6 -4 -2
+
2
+
4
O
6
8.
10

Answers

Answer:

The third number line where x = -2, 2

Step-by-step explanation:

The solution is, the number line represents the solutions is given below.

here, we have,

given equation is,

25x + 200 > 1,200

Subtract 200 from each side

25x + 200-200 > 1,200-200

25x> 1000

Divide by 25

25x/25 >1000/25

x>40

To learn more on number line click:

brainly.com/question/29162579

#SPJ7

Help brainliest question!!!

Answers

Answer:

The second option

Step-by-step explanation:

Since root 16 is an integer (4), the second option produces the fraction 4/5 which is rational.

The measure of two angles are (3x+50) and (4x - 10). What must be true
about the angles if x = 20? What is the sum of their measures?

Answers

Answer:  The two angles add up to 180 so they are supplementary angles.  

The sum of their measures is 180 degrees.

Step-by-step explanation:

Plug in given value for x.  

x=20

(3x+50)=

(60+50)=110

110

(4x-10)=

80-10=70

70

There are several true things about these angles you can find from this information but I think you are looking for the answer at top.

It is given that yvaries directly as x. If y= 5 when x= 4 determine the constant of variation,

Answers

Answer:

[tex]k=\dfrac{5}{4}[/tex]

Step-by-step explanation:

Given that,

y varies directly as x. It means,

y = kx

Where

k is the constant of variation

or

[tex]k=\dfrac{y}{x}\\\\k=\dfrac{5}{4}[/tex]

So, the constant of variation is [tex]\dfrac{5}{4}[/tex].

What is the difference between the amounts of interest Henry and Ingrid paid for their loans

Answers

Answer:

When you buy more expensive items or buildings it will raise your intrest so thats the difference look in between the two.

Step-by-step explanation:

Good luck on the rest of the quiz

A six-sided die is rolled 150 times.
Which of the following BEST describes how many times it is likely to land on an odd number
А
exactly 50 times

exactly 75 times
С
approximately 50 times
D
approximately 75 times
C
Kk

Answers

Answer:

approximately 75 times

Answer:

approximately 75 times

Step-by-step explanation:

Rewrite the sum of 30 and 42 by factoring out of the greatest common factor

Answers

Answer:

12

Step-by-step explanation:

Factors of 30: 1,2,3,5,(6),10,15,30

Factors of 42: 1,2,3,(6),7,14,21,42

30 divided by 6, 42 divided by 6

(5) + (7)= 12

Independent Practice


Which property justifies the step shown in solving this equation?
− y−5=11
−y−5+5=11+5


A.
Multiplication Property of Equality


B.
Addition Property of Equality


C.
Division Property of Equality


D.
Subtraction Property of Equality

Answers

B. Addition Property of Equality

Answer:

i dont know

Step-by-step explanation:

Factorize this question​

Answers

Answer: (3a+5b)(3a−5b)(a+b)(a−b)

Step-by-step explanation:

Factor 9a4−34a2b2+25b4

9a4−34a2b2+25b4

=(3a+5b)(3a−5b)(a+b)(a−b)

can u help me find the surface area for my work

Answers

Answer:

258

Step-by-step explanation:

There is a triangle and a parallelogram.

The triangle's area: 1/2 bh is 30

The parallelogram bh is 12*19

add them up and it is 258.

Can you follow me on Brainly?

Thanks!

Answer:

744; 1,206

Step-by-step explanation:

Prism 1:

2(19*13) + 5*12 + 2(5*19)

Multiply all the sides.

494 + 60 + 190 = 744

Prism 2:

2(20*9) + 2(18*20) + 9*14

360 + 720 + 126 = 1,206

Hope this helps (:

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled
using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of
$45 per hour. The plumber works a maximum of 8 hours per day.
For one day of work, what is the range of the function for this situation?
A0 B 80 C 0 D 45 < < 685

Answers

Answer:

i have the same question

Step-by-step explanation:

i have the same question

There were 5 girls and 22 boys in Mrs. Pantoja's math class.
Write the number of girls as a fraction of the number of boys. Then write the
fraction as a decimal.

Answers

Answer:

5/22 and for the decimal it will be, 0.22727272727273.

Step-by-step explanation:

If I have the coordinats (4, 3) and (2, 2) what is distance do we get

Answers

Answer:

※※※※※※※※※※※※※※※※※

Hi! The answer to your question is [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Use the Distance Formula to determine the distance between two points.

- Brooklynn Deka

❣❣

Evaluate the exponential expression. 14^2​

Answers

Answer:196

Step-by-step explanation:

Answer:

196

Step-by-step explanation:

Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32, it can be written as 2 × 2 × 2 × 2 × 2=25, where 2 is the “base” and 5 is the “exponent”. We read this expression as “two to the fifth power”.

Please help I’m in the middle of a math test and I’m very confused

Answers

Answer:

2

Step-by-step explanation:

in my opinion with out (0,0) there is no others

As the economic prosperity of the 1990s decreased, what changes would one expect in the design of houses?

Answers

Answer:

immagrants would start to make houses out of stone sticks and hay

Step-by-step explanation:

pls mark brainlyest

Answer:

They don't like the look or it doesn't fit the style of their home. I could argue back and say that if they at least look at all the options, they might change their mind. Also, people are making new Eco-friendly products that might fit their house style every day

Step-by-step explanation:

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