The remainder when the polynomial is divided by x + 1 is 2
Given the function P(x)=3x^4 −2x^3 +2x^2 −1, to get the rmainder if the polynomial is divided by x + 1, we will substitute x = - 1 into the function to have:
P(-1) = 3(-1)^4 −2(-1)^3 +2(-1)^2 −1
P(-1) = 3(1) - 2 + 2(1) - 1
P(-1) = 1 + 1
P(-1) = 2
Hence the remainder when the polynomial is divided by x + 1 is 2
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Answer:
6
Step-by-step explanation:
:)
Give the equation of the line in slope intercept form. y = 3x + [?] =
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today.
We can solve this problem in a single step, we just need to know how equations like this are set up.
Equations in slope intercept form are set up in [tex]y=mx+b[/tex] form. With [tex]m[/tex] being the slope of the line, and [tex]b[/tex] being the y intercept.
In your problem, we need to find the value of [tex]b[/tex], which is the y intercept.
The y intercept is what is y when x is zero. We can find that by looking at the graph supplied.
When we look at the line, we can see that it hits the x axis when y is negative two, therefore the intercept is [tex](0,-2)[/tex].
Since we know that, we can reconstruct our equation with this information, we already know the slope so we can add in -2 to get our answer.
[tex]y=3x-2[/tex]
This would be our final answer.
Cheers!
Figure ABCD is transformed to obtain figure A′B′C′D′:
A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2.
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
Answer:
Reflected along x axis
Translated 7 units to the right
Step-by-step explanation:
If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)
If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:
It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)
It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)
Hope that's better
Given f(x) = 2x2 – 9x + 2, g(x) = 1 - 6x, and
h(x) = x2 – 4, find the following function:
(h+f)(x)
Answer:
[tex](h+f)(x)=3x^2-9x-2[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-9x+2\\g(x)=1-6x\\h(x)=x^2-4[/tex]
Looks like g(x) is irrelevant here.
You can expand this like so:
[tex](h+f)(x)\\h(x)+f(x)[/tex]
And even further:
[tex](x^2-4)+(2x^2-9x+2)[/tex]
Now, it's just a matter of simplifying.
[tex]x^2-4+2x^2-9x+2\\\\(x^2+2x^2)+(-9x)+(-4+2)\\\\3x^2-9x-2[/tex]
Therefore:
[tex](h+f)(x)=3x^2-9x-2[/tex]
12 circles to 8 squares simplified is what
Fill in the missing numbers to complete the linear equation that gives the rule for this table.
Answer:
y= -10x-24
Step-by-step explanation:
To write the linear equation, first find the slope.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Let's pick the first two x and y values as our coordinate points.
(1, -34) (2, -44)
[tex]\frac{-44-(-34)}{2-1} =-10[/tex]
The slope is -10.
Use the point-slope formula to write the equation.
y-y1= m(x-x1)
y-(-34)= -10(x-1)
y+34= -10x+10
y= -10x-24
find area of parallelogram multiple choice
refer to image.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP
MUST. give thoughtful explanation
In ∆ABD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh=\dfrac{1}{2}(7\times 4)[/tex]
In ∆BCD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)[/tex]
Now
IN PARALLELOGRAM ABCD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)+\dfrac{1}{2}(7\times 4)[/tex]
Option A
best answer gets brainiest
what is the circumference and the mass of Jupiter and Saturn combined?
Mercury
Mercury is the smallest planet in the solar system. Its circumference is merely 9,522 miles, and its area totals 28,873,225 square miles. It is a terrestrial planet with a surface covered in craters, and its close proximity to the sun sometimes results in surface temperatures as high as 800 degrees Fahrenheit. Its lack of heat-retaining atmosphere, though, can cause nighttime temperatures nearing 300 degrees Fahrenheit. Besides its faint, occasional twilight appearances, Mercury is indirectly visible from Earth about a dozen times per century as it passes across the sun.
Venus
Venus is similar to Earth in size, with a circumference of 23,617 miles and an area of 177,628,840 square miles. Venus’ atmosphere contains clouds of sulfuric acid, which reflect sunlight, allowing Venus to appear brighter than other planets from Earth. Its atmosphere traps heat and can cause surface temperatures of almost 900 degrees Fahrenheit; this sweltering heat has destroyed all probes that have landed on the planet. Over a thousand volcanoes are strewn across Venus’ surface.
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Earth
The third planet from the sun is Earth, the only planet known to contain life. Its circumference is just greater than that of Venus at 24,889 miles. Of its total area -- 197,280,733 square miles -- 70 percent is covered by oceans. It orbits the sun at a distance of nearly 93 million miles on a tilted axis of over 23 degrees, creating four distinct seasons. Earth’s uniquely thin, but powerful atmosphere alters both climate and weather, protects inhabitants from the sun’s radiation and acts as a shield for meteors.
Mars
Having a circumference of 13,256 miles and an area of 55,963,741 square miles, Mars is the second smallest planet in the solar system. This terrestrial planet, known as the “Red Planet” due to its color of soil, has some notable geological features including tremendous volcanoes and a canyon system that stretches the width of the United States. Though its temperatures are too low for liquid water to remain on its surface, Mars has polar ice caps that expand and shrink according to the shift in seasons.
Jupiter
The largest planet in the solar system -- with a circumference of 278,985 miles and an area of 24,787,374,965 square miles -- is Jupiter. This gas giant is the fifth from sun and has 63 moons of its own, four of them the size of planets. Its unusual coloring is a product of visible ammonia clouds and stripes formed by east-west winds creating dark belts and light zones. These “stripes” are full of storm systems that have endured for many years, including the spinning storm known as the Great Red Spot, which is over 300 years old.
Saturn
At 235,185 miles in circumference and 17,615,265,865 square miles in area, Saturn is the sixth planet from the sun and the second largest gas giant. Its composition is mostly hydrogen and helium, while its famous rings are deceptively complex: primarily made of water ice, some braided or spoked in appearance. Saturn’s own banded appearance is the result of gusts in the upper atmosphere many times the speed of hurricane winds. Saturn has 52 known moons, two of which orbit within its rings.
Uranus
Uranus, the seventh planet from the sun, is another gas giant. It measures 99,739 miles in circumference and 3,168,132,663 square miles in area. Its blue-green appearance is a result of methane gas in its atmosphere. It rotates on a nearly horizontal axis, perhaps due to a collision with another planetary body far in the past, but the resulting seasons are not very distinct due to its distance from the sun. Uranus has 11 rings -- which are uniquely perpendicular to its orbit -- and 27 known moons.
Neptune
Nearly three million miles from the sun, Neptune -- measuring 96,645 in circumference and 2,974,591,827 square feet in area -- takes over 150 years to complete its orbit. It cannot be seen by the naked eye from Earth, despite its intense blue color, a product of atmospheric methane. Among Neptune’s distinguishing features are winds many times the strength of Earth’s, 13 known moons, six rings and a raging hurricanelike storm known as the Great Dark Spot large enough to encompass the Earth.
Answer:
Total Circumference = 514, 170 miles
Total Mass = 2, 467, 000, 000, 000 metric tons
Step-by-step explanation:
hope this helps you
Mr. Bannon sells roses at a commission rate of 25%. What is his commission for selling 235 dozen roses, priced at $15.50 a dozen? NEED HELP IMMEDIATELY
Step-by-step explanation:
that means he gets 25% of the sales.
he sold 235 dozen roses for $15.50 per dozen.
so, the total sales was
235 × 15.5 = $3,642.50
100% = $3,642.50
25% = 100%/4 = $3,642.50/4 = $910.63 (rounded to cents)
3 Z The quadratic equation whose roots twice the roots of :2X2-8X+5=0
Find the value of x when 6-2x =5x-9x+16The value of x is
Answer:
5
Step-by-step explanation:
6-2x = 5x-9x+16
leave the x's together: (going over the equal signs changes the sign)
-2x-5x+9x = 16-6
2x = 10
x = 5
What is the equation of g(x)? g(x) = 10x â€"" 3 g(x) = 10x 3 g(x) = 10x â€"" 3 g(x) = 10x 3.
The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].
Given that,
The graphs of f(x) = 10x and its translation, g(x), are shown.
We have to determine,
What is the equation of g(x)?
According to the question,
The given graphs of two functions f(x) and g(x).
The function f(x) is an exponential function and is given by:
[tex]\rm f(x) = 10^x[/tex]
To find the equation for the transformed function g(x).
We could see that the graph of the function g(x) passes through points (3,1), (4,10), (5,100), and so on.
This means that the equation or the expression for the function g(x) is given by:
[tex]\rm g(x) = 10 ^{x-3}[/tex]
Substitute the value of x = 3 in the function g(x),
[tex]\rm g(x) = 10 ^{x-3}\\\\g(3) = 10^{3-3}\\\\g(3) = 10^0\\\\g(3) = 1[/tex]
Substitute the value of x = 4 in the function g(x),
[tex]\rm g(x) = 10 ^{x-3}\\\\g(4) = 10^{4-3}\\\\g(3) = 10^1\\\\g(3) = 10[/tex]
Hence, The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].
For more details refer to the link given below.
https://brainly.com/question/13148696
Answer:
the answer is a g(x)= 10x^-3
Step-by-step explanation:
40 hours is what part of 120 hours
Answer:
1/3 part of 120 hours....
TACOS Orlando spent $18 at a taco truck. He ordered 4 tacos. Write and solve an equation to
find the cost of each taco.
Answer:
$4.5 for one taco
Step-by-step explanation:
18 divided by 4
The division is a process of splitting a specific amount into equal parts.
The equation to find the cost of each taco truck is 4x = 18.
The cost of each taco truck is $4.5.
What is division?The division is a process of splitting a specific amount into equal parts.
Example:
5 apples cost $60.
Cost of each apple = 60/5 = $12.
We have,
Total amount spend = $18
Number of taco trucks where $18 was spent = 4
Let the cost of each taco truck = x
The equation to find the cost of each taco truck can be written as:
4x = 18
We need to find x.
x = 18/4
x = $4.5
Thus the cost of each taco truck is $4.5.
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Look at picture this is so hard pls help
Answer:
The answer is B
Step-by-step explanation:
c(1)=−20
c(n)=c(n−1)+10
Find the second term in the sequence.
Answer:
c(2) = -10
Step-by-step explanation:
The first equation says that the first term of the sequence is -20.
The second equation is saying that to find any term of the sequence, add 10 to the previous term.
c(2) = c(2-1) + 10
c(2) = c(1) + 10
c(2) = -20 + 10 = -10
1/3x^2 = -3
The solution to the equation is ___?
[tex]\dfrac 1{3x^2} = -3\\\\\implies -9x^2 = 1\\\\\implies x^2 = -\dfrac 19\\\\\implies x = \pm\sqrt{-\dfrac 19} = \pm \dfrac 13i[/tex]
Find the interest earned if you place $76.43 into an account that pays 21.5% simple interest, and leave it in for 3 months
Answer:
$49.297
Step-by-step explanation:
21.5% x 3
divide answer by $76.43
leaves you with how much interest you have earned in 3 months.
Find the size of unknown angles
Answer:
hope it helps.
plzz give me brainliest
find the measure of each variable
Answer:
m∡r = 35°
m∡t = 145°
m∡u = 35°
m∡v = 90°
m∡w = 125°
Step-by-step explanation:
m∡r = 180-(134+11)
= 180 - 145
m∡r = 35°
m∡r + m∡t = 180°
35 + t = 180
m∡t = 145°
m∡t + m∡u = 180°
145 + u = 180
m∡u = 35°
m∡u + m∡v + 55° = 180°
35 + 55 + m∡v = 180
m∡v = 90°
m∡w + 55° = 180°
m∡w = 125°
Solve for X Enter the answer only with no spaces between numbers, symbols, and or variables
Answer:
x=-23
Step-by-step explanation:
Since 180° is a straight line you must find a way to get 180 by adding 97°,106°, and x.
Therefore, x must be equal to -23.
May I please receive help?
Problem 1 (on the left)
Answers:[tex]10^2+12^2 = \boldsymbol{244}\\\\14^2 = \boldsymbol{196}\\\\\text{What kind of triangle?} \textbf{ Acute}[/tex]
-------------------------------
Explanation:
The converse of the pythagorean theorem can be used to determine what kind of triangle we're dealing with.
Here are 3 important rules to have in your notes:
[tex]\cdot \text{If } a^2+b^2 > c^2 \text{ then the triangle is } \underline{\text{acute}}\\\\\ \cdot \text{If } a^2+b^2 < c^2 \text{ then the triangle is } \underline{\text{obtuse}}\\\\\cdot \text{If } a^2+b^2 = c^2 \text{ then the triangle is a } \underline{\text{right}} \text{ triangle}\\\\[/tex]
The third rule is probably the most familiar as it's the pythagorean theorem itself.
In this case, we have [tex]a^2+b^2 = 10^2+12^2 = 244[/tex] larger than [tex]c^2 = 14^2 = 196[/tex], which fits the first rule mentioned.
=========================================================
Problem 2 (on the right)
Answers:[tex]8^2+15^2 = \boldsymbol{289}\\\\17^2 = \boldsymbol{289}\\\\\text{What kind of triangle?} \textbf{ Right}[/tex]
-------------------------------
Explanation:
We follow the same idea as problem 1. This time, both [tex]a^2+b^2[/tex] and [tex]c^2[/tex] result in the same value (289). Therefore, [tex]a^2+b^2 = c^2[/tex] is a true equation, and we go for the third rule mentioned earlier. An 8-15-17 right triangle is one of the infinitely many pythagorean triples.
BRAINLIEST!Blake is the Human Resources manager for a correctional facility. What is one task that Blake might have as part of his job?
A.
confirming appointments for the director of the facility
B.
looking over the costs of new supplies for the facility
C.
mediating a dispute between two employees
D.
organizing the outdoor video surveillance of the facility
Answer:
Organising the outdoor video surveillance
Step-by-step explanation:
See he is a manager.
His work is to take care of all resources of companyVideo surveillance must be used for securityThe graph of y=f(x) is shown below. Find all values of x where f(x)=5
=======================================================
Explanation:
Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.
This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6
This shows that f(-4) = 5 and f(-6) = 5.
Phrased another way: the points (-4,5) and (-6,5) are on the parabola.
Evaluate the numerical expression. (25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Please Help!
Thank You!
In order to verify the equation sin (θ +π/4) =-cosθ. What value would you need to know besides sin (π/4)?
Group of answer choices
a cos (π/4)
b sin (2π/3)
c tan (2π/3)
d cos ((-π)/3)
Answer: A cos (π/4)
I just took a test with this question and got it right
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n) = 5 + (n - 1) 1/6
Answer:
A(1) = 5
A(4) = 5.5
A(10) = 6.5
Step-by-step explanation:
An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;
Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;
So:
A(1) = 5 + ⅙((1) - 1) = 5
A(4) = 5 + ⅙((4) - 1) = 5.5
A(10) = 5 + ⅙((10) - 1) = 6.5
Please help me im begging you
Answer:
i think its D but sorry if im wrong !! <3
Step-by-step explanation:
Answer: 6⅝ subtract 2½ or rewrite the equation as 6⅝ subtract 2 ⁴/8 same thing :)
Whole numbers: 6-2 = 4
⅝- ⁴/8 = ⅛
Step-by-step explanation:
The answer is 4 ⅛ :)
Find the slope of the line that passes through (3, 3) and (9,8). Simplify your answer and write it as a proper fraction, improper fraction, or integer
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
In order to find the answer, you need to use the slope formula, substitute, subtract, and simplify if needed.
Slope formula = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex]\frac{y^2-y^1}{x^2-x^1}=\frac{8-3}{9-3}[/tex]
[tex]8-3 = 5[/tex]
[tex]9-3 = 6[/tex]
= [tex]\frac{5}{6}[/tex]
Hope this helps.
Can someone plz help with 21?? Thanks!
Answer:
4) -11.3...
Step-by-step explanation:
distribute both sides to get (1/6)x - (4/3) = (4/15)x - (1/5)
move the variables to one side and the constants to the other: ((4/15) - (1/6))x = (-(4/3) + (1/5))
simplify to get (1/10)x = (-17/15) multiply everything by 10 to get x=-34/3 or -11.33333333333333333...
Answer:
option 4
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] ([tex]\frac{1}{4}[/tex] x - 2) = [tex]\frac{1}{5}[/tex] ([tex]\frac{4}{3}[/tex] x - 1) ← distribute parenthesis on both sides
[tex]\frac{1}{6}[/tex] x - [tex]\frac{4}{3}[/tex] = [tex]\frac{4}{15}[/tex] x - [tex]\frac{1}{5}[/tex]
Multiply through by 30, the LCM of 6, 3, 15, 5
5x - 40 = 8x - 6 ( subtract 8x from both sides )
- 3x - 40 = - 6 ( add 40 to both sides )
- 3x = 34 ( divide both sides by - 3 )
x = - [tex]\frac{34}{3}[/tex] = - 11.333..
why do you need to find the number that is halfway between 1 and 1 1/2
Answer:
Lets just say we are finding the halfway point is very needful because; it means that we can find the amount of flour used for 1 while egg.
We are told there is a need to find the Number that is halfway between 1 and 1½.
Step-by-step explanation:
