Answer:
The polynomial is [tex]x^3-2x^2-x+2[/tex]
Leading coefficient is 1
Step-by-step explanation:
We need to determine the leading coefficient of polynomial p having roots
-1,1 and 2 and p(3)=24
Roots of polynomial are: -1,1,2
We can write them as:
x=-1, x=1, x=2
x+1=0, x-1=0, x-2=0
or:
(x+1)(x-1)(x-2)=0
Multiplying the terms to find the polynomial:
[tex](x+1)(x-1)(x-2)=0\\(x(x-1)+1(x-1))(x-2)=0\\(x^2-x+x-1)(x-2)=0\\(x^2-1)(x-2)=0\\x^2(x-2)-1(x-2)=0\\x^3-2x^2-x+2=0[/tex]
So, The polynomial is [tex]x^3-2x^2-x+2[/tex]
The leading coefficient is the coefficient with highest power So, in polynomial we have highest power [tex]x^3[/tex] so, leading coefficient is 1
Which one is the linear function of x.
I know it is not A or C
Answer: d
Step-by-step explanation:
What set of numbers is arranged from largest to smallest? (Mind the blue on one of the answers)
Answer:
B
Step-by-step explanation:
it orders the negative things in the top right correctly because the bigger the negative number in the top right the lower the number is aka the greater of a negative number there is
What is the volume of the following rectangular prism?
Answer:
1/2 * 7/4 = 7/8
Thank you and please rate me as brainliest as it will help me to level up
Evaluate the expression for f = 20.
122 - 2f
9. Show your work:
A. 82
B. 100
C. 140
D. 2400
SHOW YOUR WORK PLZSSSSSSS
Answer:
82
Step-by-step explanation:
2(20)=40.
122-40=82.
Q» 7. A party hat is shaped like a cone. The dimensions of the party hat are shown in the diagram On O 1,017.88 in. O 254.47 in.3 O 84.82 in. 9 in. O 339.29 in. 3 CLEAR ALL 6 in. Which measurement is closest to the volume of the party hat in cubic 2.
Answer:
The answer is 84.82 in^3
Step-by-step explanation:
help im being timed what is the area of the rectangle?!
Answer:
30
Step-by-step explanation:
Hope this helps.
hii guys happy chota dipawali
Answer:
yay thats so coolllllllll
What’s the answer to this? Thanks!
Answer:
D
Step-by-step explanation:
I used a triangle calculator I'm not really sure how to calculate it by hand. if the angle of sides 4 and 15 is set to 1 then the min is 11.33 and if the andle of sides 4 and 15 are set to 179 then the max is 18.99952
Sorry if this isnt enough, but i am sure.
Answer:
D. 11 < x < 19.
Step-by-step explanation:
The third side x is between 11 and 19 cm.
Consider sides AB (length 4) and BC (length 15) of the triangle.
Consider the angle between AB and BC is slightly less than 180 degrees. To get from point A to point C, we have to travel almost the entire length of A to C, which is from A to B and then B to C, so a bit less than 19 cm.
Consider the angle between AB and BC is slightly more than 0 degrees. To get from point A to point C, we subtract the length of AB (because we're already further along BC), so 15 - 4, a bit greater than 11.
25 POINTS!! which point is a solution to the inequality shown in this graph 3,-1 -3,-3
Answer:
(3, 3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think its (3,-1)
Write the following fractions in order of size
1/3
3/4
1/4
7/12
1/2
Start with the smallest fraction.
Ans wer 7/12 3/4 1/3 1/2
Step-by-step explanation:
how do i solve -3=-2x+1 by graphing?
Answer:
x = 2
Step-by-step explanation:
-3 = -2x + 1
minus 1 to the both sides
-3 -1 = -2x
-4 = -2x
divide both sides by -2
x = 2
The ratio of red marbles to black marbles is 4:7. If the bag consists of 77 marbles in all, how many red marbles are in the bag?
Answer:
28:49
Step-by-step explanation:
4:7 is equal to 11 total marbles and if there are 77 you would multiply each number by 7
Explain the Error
Find the error in the solution, and then solve it correctly.
7x + 21 + 6x = 4
7x + 21 = -2
7x = -23
-23
7
(select) was subtracted from the left side, but (select) was subtracted from the right side. The
Subtraction Property of Equality states that you can subtract the same number from each side and the
equation will remain true. But 6x and 6 are not the same number (unless x is (select)).
X =
Answer:
Step-by-step explanation:
7x+21+6x=4 combine terms
13x+21=4 subtract 21 from both sides
13x= -17 divide by 13
x= -17/13
1/2(x+2)=5(x+2) solve the following completely
Answer:
X is equalled to '' - 2''
Step-by-step explanation:
If you need an explanation, leave a comment ;) As my hand writing is very messy. I'll write it here if you want.
Cheers! :)
5. Select ALL of the following expressions that are linear functions (they do not need to be in slope-intercept form).
y2 = 5x +2
2x + 4 = 3x - 8
y = 3x - 2
y + x2 = 12
y = x2 + 2x
1
3x + -y = 24
Answer:
The following are the LINEAR functions.
[tex]2x\:+\:4\:=\:3x\:-\:8[/tex][tex]y = 3x - 2[/tex][tex]1[/tex][tex]3x\:+\:-y\:=\:24[/tex]Step-by-step explanation:
We know that linear functions are the equations with a straight line graph in an XY plane.
Also, a linear function is a function of the form
[tex]f(x)=mx+b[/tex]
where m is the slope and b is the y-intercept. The only power of the variable is 1.
So, from the given expressions we can determine that:
1) [tex]y^2=\:5x\:+2[/tex]
[tex]y^2=\:5x\:+2[/tex] is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function
2) [tex]2x\:+\:4\:=\:3x\:-\:8[/tex]
[tex]2x\:+\:4\:=\:3x\:-\:8[/tex]
[tex]x=12[/tex]
This is a linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1
3) [tex]y = 3x - 2[/tex]
[tex]y = 3x - 2[/tex] is a linear function because it is of the form [tex]f(x)=mx+b[/tex] and the power of its x and y variables is 1. Hence, the function has a straight line graph.
4) [tex]y\:+\:x^2\:=\:12[/tex]
[tex]y\:+\:x^2\:=\:12[/tex] is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.
5) [tex]y\:=\:x^2\:+\:2x[/tex]
[tex]y\:=\:x^2\:+\:2x[/tex] is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.
6) [tex]1[/tex]
[tex]1[/tex] is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree [tex]0[/tex] or is the [tex]0[/tex] polynomial.
7) [tex]3x\:+\:-y\:=\:24[/tex]
[tex]3x\:+\:-y\:=\:24[/tex] is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.
In a summary, the following are the LINEAR functions.
[tex]2x\:+\:4\:=\:3x\:-\:8[/tex][tex]y = 3x - 2[/tex][tex]1[/tex][tex]3x\:+\:-y\:=\:24[/tex]...... help lots of points available (plz answer it)
Write an equation of the line that passes through the given point and is parallel to
the given line.
10. (14, 3); 2y - x - 8
Answer:
y = x - 23
Step-by-step explanation:
I NEEDA KNOW IF IM RIGHT , IDK HELP
Answer:
CD and DE are perpendicular because their slopes are -1/3 and 3
Step-by-step explanation:
Perpendicular lines will always have the opposite reciprocal.
Find the geometric mean of the data below:
2, 5, 7
Answer:
[tex]\sqrt{70}[/tex]
Step-by-step explanation:
Given data:
2, 5 , 7
The geometric mean is a measure of central tendency of a data set which utilizes the product of their values
To find the geometric mean of the given values;
multiply them togetherfind the square root;Geometric mean = [tex]\sqrt{2 x 5 x 7 }[/tex]
Geometric mean = [tex]\sqrt{70}[/tex]
GEOMETRY QUESTION, HELP PLEASEEE.
Answer:
The pre-image C is (2, 5)
Step-by-step explanation:
If the point (x, y) rotated about the origin by angle 90° clockwise, then its image is (y, -x)If the point (x, y) rotated about the origin by angle 180° clockwise, then its image is (-x, -y)If the point (x, y) rotated about the origin by angle 270° clockwise, then its image is (-y, x)∵ Point C was rotated 270° clockwise around the origin
∵ C' = (-5, 2)
→ By using the 3rd rule above
∵ The image of the point (x, y) is (-y, x)
∴ (-y, x) = (-5, 2)
→ That means -y = -5 and x = 2
∴ x = 2
∴ -y = -5
→ Divide both sides by -1
∴ y = 5
∴ The pre-image C = (2, 5)
When
4a- a x 3a + 7a
is simplified it is equivalent to?
Answer:
-3a^2+11a
Step-by-step explanation:
Answer:
4a-a×3a+7a
or, 3a×3a+ 7a
or,9a+7a
or,16a
:. a =16
what multiples to give you -30 and adds to give you -13
Answer:
This is impossible
Step-by-step explanation:
But try -10x-3=30 -10+-3=-13
What is the value of a in the equation a = 2 + 3a + 8? (5 points)
Group of answer choices
5
10
−5
−10
Step-by-step explanation:
a = 2 + 3a + 8
a = 10 + 3a
a - 3a = 10
-2a = 10
a = -5
what is the value of this equation below when y=8 and z=8
9y+3z
Answer:
96
Step-by-step explanation:
Step-by-step explanation:
=9y+3z
=9×8+3×8
=72+24
=96
hope it help u.
(Will mark brainliest and give $5 Starbucks digital card Include SC!!!) For which set of triangles can you immediately use the AAS congruence criteria to prove them congruent?(1 point)
1. triangles STU and VWX, where ∠T≅∠W, ∠U≅∠X, and SU≅VX
2. triangles GHI and JKL, where ∠G≅∠J, ∠H≅∠K, and GH≅JK
3. triangles MNO and PQR, where ∠N≅∠Q, MN≅PQ, and NO≅QR
I'm not so sure about this answer, but i remember doing something similar to this. I think it's 3.
Which equation would intersect the line on the graph at the point (-2,
-2)?
Answer:
Y = 0x-2.
Step-by-step explanation:
I don't want the question of my teachers being in my b or I am a good time wi and I am
9-2*x=35
A. -13
B. -22
C. 48
Answer:
x= -13 (a)
Step-by-step explanation:
-2x=35-9
-2x=26
x=-13
hope this helps x.
Answer:
-13
Step-by-step explanation:
9-2/x=35
9-2/x=35
-2/x=35-9
-2/x=26
-2=26x
26x=-2
x=-1/13
Answer correctly please !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex] m\angle EFG =43\degree[/tex]
Step-by-step explanation:
[tex] m\angle EFG +m\angle GFH = m\angle EFH\\\\
(3x-20)\degree + (3x+5)\degree =111\degree \\\\
(3x-20+3x +5)\degree =111\degree \\\\
(6x-15)\degree =111\degree \\\\
(6x-15) =111 \\\\
6x = 111 + 15\\\\
6x = 126\\\\
x = \frac{126}{6}\\\\
x = 21\\\\
m\angle EFG = (3x-20)\degree\\\\
m\angle EFG = (3\times 21-20)\degree\\\\
m\angle EFG = (63-20)\degree\\\\
m\angle EFG =43\degree\\[/tex]
(37-4x²+ 3y) x= 2 and y=3
Please help me ASAP!
Answer:
angle 4
Step-by-step explanation: