Find a number C such that the polynomial p(x)= -x+4x^2+Cx^3-8x^4
Answer:
C = 2
Step-by-step explanation:
[tex]p(x)= -x+4x^2+Cx^3-8x^4 \\ \\
\because \: given \: polynmial \: has \: zero \: at \: \\x = \frac{1}{4} \\ \\ \implies \: p\bigg(\frac{1}{4} \bigg) = 0...(1) \\ \\ plug \: x = \frac{1}{4} \: in \: p(x) \: we \: find \\ \\ p \bigg(\frac{1}{4} \bigg) = - \frac{1}{4} + 4 {\bigg(\frac{1}{4} \bigg)}^{2} + c {\bigg(\frac{1}{4} \bigg)}^{3} - 8 {\bigg(\frac{1}{4} \bigg)}^{4} \\ \\ 0 = - \frac{1}{4} + \cancel 4 \times {\frac{1}{\cancel{16} } } + c {\bigg(\frac{1}{64} \bigg)} - \cancel 8 \times \frac{1}{\cancel{256} } \\ \\0 =\cancel{ - \frac{1}{4}} + \cancel {{\frac{1}{4} }} + c {\bigg(\frac{1}{64} \bigg)} - \times \frac{1}{32} \\ \\0 = c {\bigg(\frac{1}{64} \bigg)} - \frac{1}{32} \\ \\c {\bigg(\frac{1}{64} \bigg)} = \frac{1}{32} \\ \\ c = \frac{1}{32} \times 64 \\ \\ c = 2[/tex]
The table shows the volume V (in cubic feet) of a cube with a side length of x feet. Does the table represent a linear or nonlinear function? Explain your answer.
Answer:
Step-by-step explanation:Determine whether each table represents a linear or nonlinear function. ... Show. YOUY work. Nonlinear; as x increases by 1, y increases by a greater amount of ... A cube has a side length of s meters. ... (Example 4) Nonlinear; sample answer: If you graph the function, the ordered pairs (side length, volume) do not lie on a.
An iron ball has a density of 8 g/cm3.
The volume of the ball is 12 cm3.
What is the mass of the ball?
Answer:
Density = 0.8 g/cm 3, length = 30 cm, depth = 10 cm, height = 10 cm, mass = ?
Step-by-step explanation:
hope i helped
I SERIOUSLY NEED THIS NOW- 100 POINTS
(The unanswered question :D)
Answer:
its b i did this before
Step-by-step explanation:
Answer:
The answer will be C.
Step-by-step explanation:
pls help me answer this it is due today sorry if it looks wierd if correct I'll make Brainliest!!!!
Answer:
D. y = 0.8x + 9.25
Step-by-step explanation:
The pizza parlor charges a flat rate of 9.25, this means that the value 9.25 is constant. The value 0.8 is a coefficient, meaning that is relevance in the equation is to be multiplied by the x value.
Answer
D hope this helps
Simplify the expression: 2x + 1 + 7x
Answer: 9x+1
Step-by-step explanation:
2x+7x=9x
Answer:
9x+1
Step-by-step explanation:
2x+1+7xCombine like terms, 9x+1Find the solution of this system of equations.
Separate the x- and y-values with a comma.
X – 10y = 2
x - y = 2
enter the correct answer
Write the equation of the line fully simplified slope-intercept form plz i am big dum
Please help! I'm not sure on what I do.
Answer:
slope= 6.25
Step-by-step explanation:
the slope represents the meters he travels per second
Answer:
The slope is 0.16
Step-by-step explanation:
You have the run over the rise as a slope equation.
x/y or 5/31.25
The answer to that will be the answer to all of them.
5/31.25=0.16
10/62.5=0.16
15/93.75= 0.16
The rate of change(or slope) is 0.16.
The slope represents time over distance(t/d or x/y) for Oren's 100-meter race.
Does anybody have a phone?
Answer: No why?
Step-by-step explanation:
Easy question!!! Please answer fast
Answer:
i cant see it i wanna help but its small can you copy and paste it
Step-by-step explanation:
Answer:
The answer is 153.58
Step-by-step explanation:
2 bath towel: 39.85
2 rugs: 27.16
Picture: 19.56
39.85 x 2=79.7 because there are 2 towels
27.16 x 2=54.32 because there are 2 rugs
Now add 79.7, 54.32, and 19.56.
79.7 + 54.32 + 19.56= 153.58
Hope this helps!!
x=2y-4
7x+5y=-66
what is the x- value
Answer:
x = -8
Step-by-step explanation:
x = 2y - 4 --- Equation 1
7x + 5y = -66 --- Equation 2
I will be using the substitution method to solve this.
Substitute x = 2y - 4 into Equation 2:
7x + 5y = -66
7(2y - 4) + 5y = -66
Evaluate.
14y - 28 + 5y = -66
Evaluate like terms.
19y - 28 = -66
Isolate 19y.
19y = -66 + 28
= -38
Find y.
y = -38 ÷ 19
y = -2 --- Equation 3
Substitute y = -2 into Equation 1:
x = 2y - 4
x = 2(-2) - 4
Evaluate.
x = -4 - 4
x = -8
Approximately what percent of the rectangle below is not shaded?
A 25%
B 50%
C 33%
D 67%
_______________ are useful for comparing data and seeing which categories are most popular.
A. star graphs
B. bar graphs
C. line plots
D. line graphs
Answer:
B
Step-by-step explanation:
I hope this is correct and have a great day
what is 1000000000 + 10000000000
Answer:
11,000,000,000
Step-by-step explanation:
there is one extra 0 at the end on the number on the right which puts it in the ten billions place instead of the billions place.
<3 Enjoy,
Dea
I NEED HELP ASAP!!!!!! Pls show the work!!!!!
PLZ HELP THIS IS FRUSTRATING FOR BRAINLIST
Please help ill mark brainliest please, please, please
Answer: I think its (B) Reflection over the x-axis
Step-by-step explanation: Hope this helps!
Answer:
reflection over the x axis
Step-by-step explanation:
because the line that there reflecting over is the x axis line thats left to right, not y axis which is up and down
hope that helps, have a great day :>
The area of sector NMK is 7.8cm2. Find the radius of circle M.
Answer:
the radius should be 36
Step-by-step explanation:
2(4.50 - x) + 8y
This might be easy for u guys but a little for me :/
Answer:
-2x+8y+9
Step-by-step explanation:
Answer:
9-2x+8y
Step-by-step explanation:
Distribute 2*4.50=9
2(x)=2x
Now you have: 9-2x+8y
Hope this helps!
If a circle has a radius of 25 feet, what is the same circles diameter?
5 feet
12.5 feet
50 feet
150 feet
what is the answer it is immpossible
Answer:
b
Step-by-step explanation:
not exactly "impossible" my good lad
Answer:
B
Step-by-step explanation:
of course, the even fractions are not irrational.
sqrt 16 is not irrational bc =4
so the answer is B, or sqrt 15
PLZ HELP, 20 POINTS, WILL GIVE YOU BRAINLIEST!!!
1. Li bought five lip balms. Each lip balm costs the same amount. She spent a total of $7.25.
(a) Write an equation that represents the situation. Use c to represent the cost of each lip balm.
(b) Represent the equation with a model.
(c) Solve and justify your solution.
Answer:
5×c=7.25.
c+c+c+c+c= 7.25
Step-by-step explanation:
5÷7.25=c
c=1.45
so 5×1.45=7.25
PLEAEEEE HELP I have to submit this in 30mins!!!!!!!!!
Answer:
It should be Volume of water
what's the correct answer?
Answer: I believe the answer to your question is Yes by SAS. I believe my coucelations are right but if not I'm sorry. I tryed:)
Step-by-step explanation:
Answer:
Yes, by SSS
Step-by-step explanation:
This theorem states that if two triangles have proportional sides, they are similar.
Since they share 2/3 sides, and the diagram tells us that the bases are parallel, we can assume all three sides are proportional to one another. Thus, the two triangles are similar.
Esp A spinner with 6 equally sized slices has 2 blue slices, 1 yellow slice, and 3 red slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a blue slice? Write your answer as a fraction in simplest form. PLEASE HELP
Line n is defined by the equation y = 3x - 5. If line n undergoes a dilation with a scale factor of 3 and center P, which equation will define the image of the line?
A. y = 3x + 13
B. y = 3x - 23
C. y = 9x - 5
D. y = 9x - 15
The required equation for the dilated image of the line is y = 9x - 15. Option D is correct.
What is the scale factor?The scale factor is defined as the ratio of the modified change in length to the original length.
Here,
Line n is defined by the equation y = 3x - 5.
Line n undergoes a dilation with a scale factor of 3 and center P,
Since the dilation of line n with factor 3, increase the slope of a line by 3 times and change the intercept simultaneously.
y = 3(3x - 5)
y = 9x - 15
Thus, the required equation of dilated image of the line is y = 9x - 15.
Learn more about Scale factors here:
https://brainly.com/question/22312172
#SPJ6
y = 4 + 6x
Siope-interce
What linear equation form is this equation written in?
Answer:
We can write this equation in slope-intercept form
y
=
m
x
+
b
where
m
is the slope and
b
is the
y
-intercept.
We know
m
=
−
4
and
b
=
6
, so we can insert these into the equation to get
y
=
−
4
x
+
6
Hope this helps!
Find the slope of the line passing through the points (-8, 2) and (9, 2)
Find the slope of the line passing through the points (-8, 5) and (-8, -4)
Answer:
1/17 and No slope
Step-by-step explanation:
2-2=1
9--8=17
-4-5=-9
-8--8=0
Answer:
1. 0/-17 no slope
21/0 indefinite
Step-by-step explanation:
2-2
-8-9
5-4
-8--8
Which matrix represents the system of equations shown?
Answer:
b.
by relation
[tex] \binom{3x \: \: - 2y \: \: 12}{4x \: \: \: \: - y \: \: \: \: \: 9} \\ eliminate \: the \: unknowns \: (x \: and \: y) \\ \binom{3 \: \: - 2 \: \: 12}{4 \: \: \: \: - 1 \: \: \: \: \: 9} [/tex]