Answer:
Option C: there are zeros between x = 1 and x = 2, x = 0 and x = -1
Step-by-step explanation:
The function is given as;
f(x) = -8x⁴ - 3x³ - 11x² + 8x + 16
Since it's the real zero of the polynomial we are looking for, it means there is a possibility of getting an imaginary zero of the polynomial.
A zero is the value of x that will make the polynomial equal to zero.
Let's try;
x = -2;
f(-2) = -8(-2)⁴ - 3(-2)³ - 11(-2)² + 8(-2) + 16
f(-2) = -128 + 24 - 44 - 16 + 16
f(-2) = -148
Let's try x = -1;
f(-1) = -8(-1)⁴ - 3(-1)³ - 11(-1)² + 8(-1) + 16
f(-1) = -8 + 3 - 11 - 8 + 16
f(-1) = -8
Let's try x = 0;
f(0) = -8(0)⁴ - 3(0)³ - 11(0)² + 8(0) + 16
f(0) = 16
Lets try x = 1
f(1) = -8(1)⁴ - 3(1)³ - 11(1)² + 8(1) + 16
f(1) = -8 - 3 - 11 + 8 + 16
f(1) = 2
Let's try x = 2;
f(2) = -8(2)⁴ - 3(2)³ - 11(2)² + 8(2) + 16
f(2) = -128 - 24 - 44 + 16 + 16
f(2) = -164
From the values of f(x) gotten from x= -2 to x =2, we can see that the zeros will be closest to x = 0 and x = - 1 and also between x = 1 and x = 2 since that is the range that produced f(x) to be close to zero.
Find the volume of the composite solid below.
4 ft
3 ft
-
4 ft
10 ft
Answer:
173.3ft
Step-by-step explanation:
We'll start by the rectangle below
so remember the formula: l · w · h
10 · 4 · 3 = volume
volume = 120 ft
Rectangular pyramid
Volume = [tex]\frac{1}{3}[/tex] b · h
Volume = 1/3 40 · 4
Volume = 1/3 160
Volume = 53.3 ft
120 + 53.3 = 173.3 ft
The price of an item has been reduced by 25% . The original price was $20 . What is the price of the item now?
Answer:
ok for this problem lets subtract 25 for 100 to get 75 so know we know we have to multiple 20 by 0.75 to get 15 dollars for the reduced price
Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round to the nearest tenth.
Answer:
32.7 degrees
Step-by-step explanation:
This polygon has 11 sides.
The measure of all exterior angles adds up to 360.
Find the measure of a single exterior angle by dividing 360 by the number of sides.
360/11 ≈ 32.7
The measure of a single exterior angle of the given regular polygon is 32.5 degrees
We have given that the diagram of regular polygon shown below
and, we have to find the measure of a single exterior angle.
Therefore we have the given polygon has 11 sides.
What is the meaning of exterior angle?
The angle between a side of a rectilinear diagram and adjacent side extended outward.
The measure of all exterior angles adds up to 360.
We have to find the measure of a single exterior angle by dividing 360 by the number of sides
So we get,[tex]360/11 = 32.7[/tex]
Therefore, the measure of a single exterior angle of the given regular polygon is 32.5 degrees.
To learn more about the exterior angle visit:
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What is the value of x?
Answer:
98deg
Step-by-step explanation:
Angles in a triangular add to 180.
180-(53+45) is the top angle.
Angles on a line add a up to 180
180 - triangles top angle = x
Find the measure of the reference angle for each given angle
0=225
Answer:
45°
Step-by-step explanation:
Reference angle is defined as The smallest angle that the standard position of a given angle will make with the x-axis.
Now, the given angle 225 lies in third quadrant. So, for us to find the reference angle, we will have to subtract 180 from it to get;
225 - 180 = 45°
pls help me find the operations of 3a^2+4a^2+7a^2
Answer:
14a^2
Step-by-step explanation:
3a^2+4a^2+7a^2
Combine like terms
Factor out a^2
a^2(3+4+7)
a^2(14)
14a^2
Answer:
14 a²
Step-by-step explanation:
3a² + 4a² + 7a²
collect like terms
(3 + 4 + 7)a² .. ( factor out :- a²)
calculate the sum
14 a²
(4 × 5) × 7 = 7 × _________ (4 × 7) 20 (7 - 5) (5 + 7)
Answer:
I think the answer is 5 hope it helps
Can someone please help I really need these points
Given:
Two chords intersect each other inside the circle.
To find:
The value of x.
Solution:
According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to the product of two segments of second chord.
In the given circle,
[tex]AE\times CE=BE\times DE[/tex]
[tex](3x-11)\times (5x-4)=(x+2)\times (-x+17)[/tex]
[tex]15x^2-12x-55x+44=-x^2+17x-2x+34[/tex]
[tex]15x^2-67x+44+x^2-15x-34=0[/tex]
[tex]16x^2-82x+10=0[/tex]
Divide both sides by 2.
[tex]8x^2-41x+5=0[/tex]
Splitting the middle term, we get
[tex]8x^2-40x-x+5=0[/tex]
[tex]8x(x-5)-1(x-5)=0[/tex]
[tex](8x-1)(x-5)=0[/tex]
Using zero product property, we get
[tex](8x-1)=0[/tex] or [tex](x-5)=0[/tex]
[tex]x=\dfrac{1}{8}[/tex] or [tex]x=5[/tex]
For [tex]x=\dfrac{1}{8}[/tex], the side AE is negative. So, [tex]x=\dfrac{1}{8}[/tex] is not possible.
Therefore, the required solution is [tex]x=5[/tex].
En 4 días un hombre recorrió 120 km. Si cada día avanzó 1/3 de lo que anduvo el día anterior, en el segundo día recorrió.
Answer:
36 Km
Step-by-step explanation:
Por favor, encontrar el archivo adjunto
what do i put for y and x , need help asap!!!
by rounding to one significant number, estimate the answer to these questions:
a) 687x164
b) 476x2354
c) 8612x1497
Answer:
a) 140000
b) 1000000
c) 9000000
Step-by-step explanation:
a) 687x164
700 * 200 =140000
b) 476x2354
500*2000=1000000
c) 8612x1497
9000*1000=9000000
Will give brainliest but Please hurry got until tmrw
A train is traveling at a constant
speed, and its distance over time is
shownin the graph. What is the speed
of the train?
Answer:
It looks like 35 miles per hour
Step-by-step explanation:
if you look at the vertical line between 0 and 2 (which is the one hour mark) on the horizontal axis of the graph you can see the line of the graph crossed under the 40 mi. Therefore the train traveled about 35 miles in one hour (or 35 mph) because there are no other answers under 40.
What is the surface area of this cone?
A) 161pi ft^2
B) 49pi ft^2
C) 112pi ft^2
D) 125pi ft^2
Answer:
I think it's C. cause I multipled 16 by 7
there are 105 teachers in a school 19 more are femal than male how what is the proprtion of female teachers
rational number between - 4/7 and 8/4
Answer:
Hdujshshshddhdh
Step-by-step explanation:
At a carnival, single rides cost $2 each, and all day ride passes cost $15. The total revenue for the day was $2,960.
Which equation can be used to represent x, the number of single ride passes sold and y, the number of all day ride
passes sold?
O 2x + 15y = 2,960
O 12x + 5y = 2,960
O 15x + 2y = 2,960
O 17x + 15y = 2,960
Answer:
2x+15y=2960
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Extend the sequence and then complete the
statements.
А
A (blank) is an ordered list of numbers that can
form a pattern.
А (blank)
is an element in a sequence.
You can (blank)
a sequence by finding and writing
more terms.
The next term in the sequence is A = (blank)
Answer:
l
Step-by-step explanation:
A sequence is an ordered list of numbers.....
A term is an element in a sequence.
You can expand a sequence by finding and writing....
The next term in the sequence is A = (general term)
The graphs below have the same shape. What is the equation of the graph of g(x)?
A. g(x) = (x-2)^2
B. g(x) = (x+2)^2
C. g(x) = x^2 - 2
D. g(x) = x^2 + 2
Answer:
Step-by-step explanation:
B. Because adding 2 moves you to the left when inside the parentheses.
For a certain population, the population proportion is .6. If samples of size 60 are taken, determine the standard deviation of the distribution of sample proportions rounded to the nearest hundredth.
The standard deviation of the distribution of sample proportions is rounded to the nearest hundredth.60 Are taken but the single is 1.
How is the standard deviation of the sampling distribution of a proportion calculated?The population proportion is .6. If samples of size 60 are taken, determine the standard deviation of the distribution of sample proportions rounded to the nearest hundredth.
The Sampling Distribution of the Sample Proportion
and standard deviation σˆP=√pq/n.
How do you find the proportion of a population with mean and standard deviation?This is given by the formula Z=(X-m)/s where Z is the z-score, X is the value you are using, m is the population means and s is the standard deviation of the population. Consult a unit normal table to find the proportion of the area under the normal curve falling to the side of your value.13
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A recipe uses 3 cups of milk to make 9 servings. If the same amount of milk is used for each serving, how many servings can be made from two quarts?
1 gallon
=
1 gallon=
4 quarts
4 quarts
1 quart
=
1 quart=
2 pints
2 pints
1 pint
=
1 pint=
2 cups
2 cups
1 cup
=
1 cup=
8 fluid ounces
8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of servings for?
Answer:
24 servngs
Step-by-step explanation:
3 cups makes 9 servings.
The rate of servings to cups is 9 servings to 3 cups which is a unit rate of 3 servings per cup.
1 quart = 4 cups
2 quarts = 2 * 4 quarts = 8 cups
3 serviongs/cup * 8 cups = 24 servings
Answer: 24 servings
can someone help me with this
Answer:
Step-by-step explanation:
a) -14 , -9 , -4 , 1 ................
Common difference = d = 2nd term - 1st term
= -9-[-14]
= -9 + 14
d = 5
The next term can be got by adding 5 to the previous term
5th term = 1 + 5 = 6
6th term = 6 + 5 = 11
7th term = 11 + 5 = 16
Next 3 terms are : 6 , 11 , 16
[tex]b) \frac{5}{6},\frac{2}{3},\frac{1}{2},\frac{1}{3},.....\\\\d = \frac{2}{3}-\frac{5}{6}\\\\=\frac{2*2}{3*2}-\frac{5}{6}\\\\=\frac{4}{6}-\frac{5}{6}\\\\=\frac{-1}{6}\\\\a_{5} = \frac{1}{3}+\frac{-1}{6}=\frac{1*2}{3*2}+\frac{-1}{6}=\frac{2}{6}+\frac{-1}{6}=\frac{1}{6}\\\\a_{6}=\frac{1}{6}+\frac{-1}{6}=0\\\\a_{7}=0+\frac{-1}{6}=\frac{-1}{6}\\\\\\Next 3 terms : \frac{1}{6},0,\frac{-1}{6}[/tex]
Ryan is cleaning out his room. His sister gives him 4 boxes of books to put with the 3 books he already had. When he finishes cleaning he discovers he now has 35 books on his shelves. How many books were in each box? Write an algebraic expression to represent this problem then solve.
Answer:
8 books were in each box
Step-by-step explanation:
According to the Question,
Assume X is the Number of Books In Each Box.
We have, 4 boxes With the Same Number of Books In each Box,Thus Total Book in all box is 4X.And, 3 books Ryan Already Put In Shelves.Now, Total Number Of Book After Cleaning is 35 Books.Algebraic Expression,
4X + 3 = 35
4X = 35 - 3
4X = 32 ⇔ X=8 books in Each Box.
A class of 40 pupils voted for their favourite flavour of ice cream. 3/4 of the pupils voted for chocolate, 1/10 of the remaining pupils voted for vanilla and the rest for strawberry. How many voted for strawberry?
Answer:
6 students
Step-by-step explanation:
3/4 = chocolate
1/10 = vanilla
3/4 = 30/40
1/10 = 4/10
30+4=34
40-34 = 6
6 = the number of students that voted for strawberry
Add these mixed numbers 4 4/7+3 2/7
Answer:
50/7 or 7 1/7
Step-by-step explanation:
I Need Help please can I borrow your time
[tex]\longrightarrow{\blue{ C. \: 2 {x}^{2} + 4x - 30 = 0 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{6}{x} = \frac{2x + 4}{5} [/tex]
[tex] \: 6 \times 5 = x \: (2x + 4)[/tex]
➺ [tex] \: 30 = 2 {x}^{2} + 4x[/tex]
➺ [tex] \: 2 {x}^{2} + 4x - 30 = 0[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
How many of the following numbers are factors of 34 or multiples of 7? 1, 2, 3, 4, 8, 14, 17, 29, 56, 91
Answer:
6
Step-by-step explanation:
So here are the numbers that are factors of 34 and multiples of 7
1,2,14,17,56,91
So count the numbers, 6. And that's ur answer, believe me
What Value of X satisfies this equation?
Answer:
x=0
Step-by-step explanation:
4 ( 2.5) ^x = 4
Divide each side by 4
4/4 ( 2.5) ^x = 4/4
( 2.5) ^x = 1
Take the log of each side
log ( 2.5) ^x = log (1)
x log ( 2.5) = log 1
x log (2.5) = 0
Divide each side by log (2.5)
x = 0
The Happy Platter orders corn tortillas and flourtortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2 : 3. What is the ratio of the number of flour tortillas to the total number of tortillas? Write your ratio 2 ways.
Answer:
One was to write this ratio is lets say you where ordering 100 Happy Platters this mean you would get 200 corn and 300 flour.
another way is lets say you got a Happy Platter and split it in half with some one else you would get 1 corn and 1.5 flour
PLS I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!
Answer:
5. 2 hours 45 minutes 6. 7:23 7. 10:05 8. 1 hour 34 minutes
Step-by-step explanation:
I mean u gotta be lying about staying up all night to do these 4 problems but heres the answers
Answer:
5. 2 hours 45 mins
6. 7:23 start
7. 10:05
8. 1 hour 34 mins
Find the missing angle
Answer option
30 degrees
130 degrees
Given:
The measure of one angle in the figure is 50 degrees.
To find:
The missing angle in the figure.
Solution:
Let x be the measure of the missing angle. Then
[tex]x+50^\circ=180^\circ[/tex] [Supplementary angles]
[tex]x=180^\circ-50^\circ[/tex]
[tex]x=130^\circ[/tex]
Therefore, the measure of the missing angle in the figure is 130 degrees. Hence, the correct option is B.