Answer:
Answer: -1
Step-by-step explanation:
The Polynomial Remainder Theorem
It states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).
We have the polynomial:
[tex]f(x)=x^3+x^2+x+1[/tex]
And we need to determine if x=1 and/or x=-1 are zeros of the polynomial.
Considering the polynomial remainder theorem, if we try any value for x, and the remainder is zero, then that value of x is a root or zero of the polynomial.
Find:
[tex]f(1)=1^3+1^2+1+1[/tex]
f(1)=4
Thus, x=1 is not a zero of f(x)
Now, find:
[tex]f(-1)=(-1)^3+(-1)^2+(-1)+1[/tex]
[tex]f(1)=-1+1-1+1=0[/tex]
Thus, x=-1 is a zero of f(x)
Answer: -1
if 324 is multiplide wit 11,what is the product?
Answer:
3,564
Step-by-step explanation:
324
11
×___. if you multiply this way it might help
help me I'll make brainiest
========================================
Explanation:
The ratio QR : RS : ST is equal to 1 : 4 : 5
This means we have the following three equations
QR = x RS = 4x ST = 5xFor some positive number x.
Note the ratio QR : RS : ST turns into x : 4x : 5x, which reduces to 1 : 4 : 5 when we divide all three parts by x .
Along with those three equations, we'll also use QT = 40 as well.
Now turn to the segment addition postulate. Plug in the equations mentioned earlier, and solve for x .
QT = QR + RS + ST
40 = x+4x+5x
40 = 10x
10x = 40
x = 40/10
x = 4
So we know that
QR = x = 4
RS = 4x = 4*4 = 16
ST = 5x = 5*4 = 20
-----------
As a check,
QR + RS + ST = 4 + 16 + 20 = 40
which is the same as QT = 40
Therefore, we've confirmed that QR + RS + ST = QT is correct and we've confirmed our answers.
Carmen walked 30 yards due north and 12 yards west, but then she went directly back to her starting point, as shown by the dotted line. How far (to the nearest yard) did Carmen travel to get back to where she started?
Answer:
[tex]0W = 32yd[/tex]
Step-by-step explanation:
See attachment for complete question.
From the attachment, we have:
[tex]0N = 30yd[/tex]
[tex]NW = 12yd[/tex]
Required
Determine 0W
To solve this , we apply Pythagoras theorem as follows:
[tex]0W^2 = 0N^2 + NW^2[/tex]
[tex]0W^2 = 30^2 + 12^2[/tex]
[tex]0W^2 = 900 + 144[/tex]
[tex]0W^2 = 1044[/tex]
Take square roots
[tex]0W = \sqrt{1044}[/tex]
[tex]0W = 32.31[/tex]
[tex]0W = 32yd[/tex] (approximated)
Hence, she walked 32 yards
HELP I NEED TO PASS OR ELSE I WILL GET A WHOOPING
Answer: XD You have Among Us
Step-by-step explanation:
$1972.00 is what I got
Mark me as brainliest, Among Us User
Which is the best estimate of 20,168 ÷ 21?
Answer:
Use the algorithm method.
9 6 0
2 1 | 2 0 1 6 8
1 8 9
1 2 6
1 2 6
8
960
Step-by-step explanation:
May I have brainliest plz
CIVICS In the 2004 presidential election, Ohio had 20 electoral votes.
This is 14 votes less than Texas had. How many electoral votes did Texas
have in 2004?
Answer:
34
Step-by-step explanation:
Ohio had 20
14 votes less than Texas (20 + 14)
34 electoral votes Texas had in 2004.
~~~Hope this helps~~~
A number is rounded to the nearest tenth and hundredth. What is the number that was rounded?
Number Rounded to Nearest Tenth Rounded to Nearest Hundredth
0.6 0.58
0.574
0.579
0.585
0.681
9514 1404 393
Answer:
0.579
Step-by-step explanation:
You can consider what the offered numbers are when they are rounded to hundredths:
0.574 ⇒ 0.57
0.579 ⇒ 0.58 . . . matches your requirement
0.585 ⇒ 0.59
0.681 ⇒ 0.68
The only number on the list that matches your rounding requirement is 0.579.
what is the answer?
Answer:
x = 110° ; y = 49°
Step-by-step explanation:
m∠ABD = m∠ADB = 35° ⇒ x = 180° - 2 × 35° = 110°
m∠CDB = m∠CBD = 2y ⇒ y = (180° - 82°) ÷ 2 = 49°
Amanda goes to a football game with 2
friends. They each buy a sweatshirt for
$25.50. Two of them buy bags of
popcorn for $4.75 each. Amanda buys a
hot dog for $3.50 and one friend has
nachos for $3.00. Each girl bought a
fountain drink for $2.25 each. What is
the total amount they spend at the
football game?
Answer:
99.25
Step-by-step explanation:
3 times 25.50 = 76.5
2 times 4.75 =
3 times 2.25 = 6.75
3.5 + 3 + 76.5 + 9.5 + 6.75 = 99.25
In total, they spent $99.25 at the football game.
109 is 63% of what? Thx.
Answer:
109 is 63% of 173.02
Step-by-step explanation:
Let 109 = 63% of x
Thus;
63/100 * x = 109
63x = 10900
x = 10,900/63
x = 173.02
what's (+6) + (+48) ?
Answer:
54
Step-by-step explanation:
Which property is illustrated? x + y = y + x
Answer:
commutative property
Step-by-step explanation:
it is
Please just put what the position that it would have the most amount of potential energy and why Thanks!
An architect builds a scale model of a track using a scale of 3 inches represents 40 feet. The length of the track is 20 feet. What is the length of the scale model in inches?
Answer:
Step-by-step explanation:
Their is no answer sorry
which equation represents a line which is parallel to the line y=-3x-1
I hope help for you ......
Answer:
x=
[tex] - \frac{1}{3} [/tex]
Find P(A) given that P(A) = 0.75
Answer:
P(A)=0.75
Step-by-step explanation:
I think you already have your answer. If this is all the information given in the problem, there is nothing more to do.
ABC is congruent to EDC, BC = 5 units and DE = 12 units. What is the length of AE?
Answer:
AE = 26 units
Step-by-step explanation:
Given that ABC is congruent to EDC, therefore, the corresponding angles and corresponding lengths of ∆ABC and ∆EDC are equal to each other in measure.
AE = 2(AC) = 2(CE) or
AE = AC + CE
Let's find the AC using Pythagorean Theorem, since the ∆s are both right triangles.
BA is congruent to DE.
Since DE = 12 units, therefore, BA = 12 units.
BC = 5 units (given)
Using Pythagorean Theorem:
AC² = BA² + BC²
AC² = 12² + 5² (substitution)
AC² = 144 + 25 = 169
AC = √169
AC = 13 units
Since ∆ABC = ∆EDC, therefore:
AE = 2(AC)
AE = 2(13)
AE = 26 units
Evaluate the expression when m = -2
Answer:
-22
Step-by-step explanation:
(Is that Aleks?)
Plug it in.
(-2)^2 + 9(-2) - 8
= 4 + (-18) - 8
= -14 - 8
= -22
i need helpp please help me.
Answer:
B and C
Step-by-step explanation:
Option B and Option C
Expand it and you'll get 12 + 12 * 0.25 and the question says she ran 0.25 of the distance she ran before.
Hence, Option B and Option C would be correct
Monique sells nut mixes . She uses * 1/4 of her supply of almonds to make a nut mix and of her 5/8 supply to make a fruit and nut mix. If Monique uses 28 pounds of almonds , how many pounds of almonds did she have in her supply ?
Answer:
32 pounds of almonds
Step-by-step explanation:
Monique sells nut mixes . She uses * 1/4 of her supply of almonds to make a nut mix and of her 5/8 supply to make a fruit and nut mix.
The total fraction of almonds that Monique used both for her but mix and fruit and nut mix =
1/4 + 5/8
Lowest common denominator is 8
1 × 2 + 5 × 1/8
2 + 5/8
= 7/8
If Monique uses 28 pounds of almonds
Let the total number of almonds = x
7/8 × x = 28
7x /8 = 28
Cross Multiply
7x = 8 × 28
x = 8 × 28/7
x = 32 pounds
Therefore, Monique initially had 32 pounds of almonds in her supply.
plz help I've been doing math for 3 hours
Step-by-step explanation:
y=-4x+2
-1 -4*-1= 4 y=4
0 -4*0=y y=0
1 -4*1=y y=-4
2 -4*2=y y=-8
this is the least question of the day for me
Please help me :D
Answer: i got 394
Step-by-step explanation:
Pleae help will mark as brainliest
Activity 1.2 Determine the SOLUTION SET of this following exponential inequalities
I need the answer now. pls can anyone answer this? I will mark the brainliest answer.
Wrong and rude answers will be reported.
Answer:
1. [tex] x \ge -4 [/tex]
2. [tex] x < -2 [/tex]
Step-by-step explanation:
1. [tex] 10^{2x - 4} \le 1000^x [/tex]
Make both sides of the same base
[tex] 10^{2x - 4} \le (10^3)^x [/tex]
[tex] 10^{2x - 4} \le 10^{3x} [/tex]
Both bases will cancel each other
[tex] 2x - 4 \le 3x [/tex]
Subtract 2x from each side
[tex] - 4 \le 3x - 2x [/tex]
[tex] -4 \le x [/tex]
Rewrite
[tex] x \ge -4 [/tex]
2. [tex] (\frac{1}{5})^{3x + 10} > (\frac{1}{25}^{x + 4} [/tex]
Apply the inverse law of exponents
[tex] (5^{-1})^{3x + 10} > (25^{-1})^{x + 4} [/tex]
[tex] (5^{-1})^{3x + 10} > (5^{-2})^{x + 4} [/tex]
[tex] 5^{-3x - 10} > 5^{-2x - 8} [/tex]
Both bases will cancel each other
[tex] -3x - 10 > -2x - 8 [/tex]
Collect like terms
[tex] -3x + 2x > 10 - 8 [/tex]
[tex] -x > 2 [/tex]
Divide both sides by -1.
(Note: since we are dividing by a negative number, the inequality sign would change)
[tex] x < -2 [/tex]
A student analyzed the table below and stated the following, “the y-intercept is 4 because (4,0) has a y value of 0”. Is the student correct? Why or why not?
Answer:
No
Why he is not correct is because the y-intercept is the coordinate of the point where the graph meets or crosses the y-axis, which is equivalent to a point on the graph where the x-coordinate value reduces to zero, or to put it in a mathematical form x = 0
Step-by-step explanation:
From the given data, we have;
x [tex]{}[/tex] y
2 [tex]{}[/tex] -2
4 [tex]{}[/tex] 0
6 [tex]{}[/tex] 2
8 [tex]{}[/tex] 6
The given data is linear because it has a constant first (common) difference of 2
The general form of the straight line equation is y = m·x + c
Where;
m = The slope
c = The y-intercept
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
The slope of the graph of the data from any two points, (x₁, y₁) = (4, 0) and (x₂, y₂) = (4, 0)) is m = (2 - 0)/(6 - 4) = 1
The equation representing the data in point and slope form is therefore;
y - 4 = 1 × (x - 0)
Which gives;
y = x + 4
Therefore, the y-intercept = 4.
The sum of three numbers is 12 . The sum of twice the first number, 3 times the second number, and 4 times the third number is 37 . The difference between 7 times the first number and the second number is 25. Find the three numbers.
Given:
The sum of three numbers is 12 .
The sum of twice the first number, 3 times the second number, and 4 times the third number is 37 .
The difference between 7 times the first number and the second number is 25.
To find:
The three number.
Solution:
Let the three numbers are x, y and z respectively.
According to the question,
[tex]x+y+z=12[/tex] ...(i)
[tex]2x+3y+4z=37[/tex] ...(ii)
[tex]7x-y=25[/tex] ...(iii)
From (iii), we get
[tex]-y=25-7x[/tex]
[tex]y=-25+7x[/tex]
Put [tex]y=-25+7x[/tex] value in (i).
[tex]x+(-25+7x)+z=12[/tex]
[tex]8x-25+z=12[/tex]
[tex]8x+z=12+25[/tex]
[tex]8x+z=37[/tex] ...(iv)
Put [tex]y=-25+7x[/tex] value in (ii).
[tex]2x+3(-25+7x)+4z=37[/tex]
[tex]2x-75+21x+4z=37[/tex]
[tex]23x+4z=37+75[/tex]
[tex]23x+4z=112[/tex] ...(v)
Now, Multiply equation (iv) by 4 and subtract the result from (v).
[tex]23x+4z-4(8x+z)=112-4(37)[/tex]
[tex]23x+4z-32x-4z=112-148[/tex]
[tex]-9x=-36[/tex]
[tex]x=4[/tex]
Put x=4 in (iv).
[tex]8(4)+z=37[/tex]
[tex]32+z=37[/tex]
[tex]z=37-32[/tex]
[tex]z=5[/tex]
Put x=4 in [tex]y=-25+7x[/tex].
[tex]y=-25+7(4)[/tex]
[tex]y=-25+28[/tex]
[tex]y=3[/tex]
Therefore, the three numbers are 4, 3 and 5 respectively.
9. a - 2a +5
pls help i’m kinda dumb
I need help pls hel me
the graph of a linear function f passes through the point (-1,9) and has a slope of -3. what is the zero of f?
answer choices:
-6
4
2
-2
Answer:
Answer: x=2 (third option)
Step-by-step explanation:
Equation of a line
Being m is the slope and (h,k) is a point through which the line passes, the point-slope form of the equation of a line is:
y - k = m ( x - h )
We have the function f passes through the point (-1,9) and has a slope of m=-3. The point-slope equation of the line is:
y - 9 = -3 ( x - (-1) )
Operating:
y - 9 = -3 ( x + 1 )
y - 9 = -3x - 3
Adding 9:
y = -3x + 6
To calculate the zero of the function we set y=0 and solve for x:
-3x + 6 = 0
Subtracting 6:
-3x = - 6
Dividing by -3
x = - 6 / ( - 3 )
x = 2
Answer: x=2 (third option)
write (x+7)(x−2) as a sum
Answer:
x^2+5x-14
Step-by-step explanation:
you multiply both equations so that you get:
x^2-2x+7x-14
and then you simplify it to:
x^2+5x-14
If you found this helpful please give it a thanks
I would also appreciate it if you give me a brainliest
