Answer:
x = 11 , m∠2 = 31
Step-by-step explanation:
We know that m∠1 is equal to both 6x+8 and 74
Therefore, 6x+8 = 74
And 6x = 66
x = 11
To find m∠2, we just plug in the value of x that we got earlier
(7x-2) + m∠2 = 106
(77-2) + m∠2 = 106
m∠2 = 31
2 questions,Neeed helpppp assssaaaappp!!!
Answer:
(i) (x + 3) is a factor of p(x)= x⁴ + 4x³ + 4x² + 4x + 3 and the remaining factors are (x + 1) and ( x² + 1).
(ii) (x + 1) is not a factor of p(x)= 2x⁴ - 5x² - 2 and the remainder is -5.
Step-by-step explanation:
(i) Given;
Polynomial, p(x)= x⁴ + 4x³ + 4x² + 4x + 3
Factor, = x + 3
x = -3
if (x + 3) is a factor of the polynomial, then p(-3) = 0
p(-3) = (-3)⁴ + 4(-3)³ + 4(-3)² + 4(-3) + 3
= 81 -108 + 36 - 12 + 3
= 0
(x + 3) is a factor of the given polynomial and the remainder is 0.
The remaining factors can be obtained as follows;
x³ + x² + x + 1
--------------------------------
x + 3 √x⁴ + 4x³ + 4x² + 4x + 3
- ( x⁴ + 3x³)
--------------------------------
x³ + 4x² + 4x + 3
-(x³ + 3x²)
----------------------------------
x² + 4x + 3
-(x² + 3x)
---------------------------------------
x + 3
-(x + 3)
---------------------------------------
0
Further divide x³ + x² + x + 1 by x + 1
x² + 1
---------------------
x + 1 √x³ + x² + x + 1
-(x³ + x²)
------------------------
x + 1
-( x + 1)
-----------------
0
Thus, the factors of x⁴ + 4x³ + 4x² + 4x + 3 = (x + 3)(x + 1)( x² + 1)
(ii) Given;
Polynomial, p(x)= 2x⁴ - 5x² - 2
Factor, = x + 1
x = -1
if (x + 1) is a factor of the polynomial, then p(-1) = 0
p(-1) = 2(-1)⁴ - 5(-1)² - 2
= 2 - 5 - 2
= -5
Thus, (x + 1) is not a factor of the given polynomial and the remainder is -5.
3-7/8
please answer :p
Answer:
2.125 is your answer!! pls give brainlist (:
Step-by-step explanation:
What is the y-intercept of y = -3x
Answer:
0
Step-by-step explanation:
The y-intercept of y = -3x is zero.
Answer:
0
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -3x
Step 2: Break Function
Identify Parts
Slope m = -3
y-intercept b = 0
*We assume that if the variable isn't there, it is 0 or being multiplied by 0.
Which table does NOT show a proportional relationship?
1 point
A
B
C
D
A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation. If (x , y ) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square
Answer:
its 20x20
Step-by-step explanation:
ty for point also i did the test
Answer: I just did the test so the answer would be (20x,20y)
Step-by-step explanation: hoped this help thx for the points :D
Translate the given phrase to an expression.
The quotient of 15 and 2
The expression is (Do not simplify)
Answer:
15/2=7 R1
Step-by-step explanation:
At a constant speed, a car travels 75 miles in 60 minutes. How far does the car travel in 18
minutes? If you get stuck, consider using the table.
your answer is
22.5
good luck :)
A shoe salesperson sold 20 pairs of shoes for $640. A brown pair of shoes sells for $30 and a black pair for $35. How many brown pairs were sold? A. 12 B. 14 C. 15 D. 8
Answer:
12 pairs
Step-by-step explanation:
Represent Brown with B and Black with A
So:
[tex]A + B = 20[/tex] --- Pairs sold
[tex]30B + 35A = 640[/tex] --- Amount
Required
Solve for B (the brown pairs)
Make A the subject in the first equation
[tex]A = 20 - B[/tex]
Substitute 20 - B for A in the second
[tex]30B + 35(20-B) = 640[/tex]
Open bracket
[tex]30B + 700 - 35B = 640[/tex]
Collect Like Terms
[tex]30B - 35B = 640 -700[/tex]
[tex]-5B = -60[/tex]
Divide both sides by -5
[tex]B = \frac{-60}{-5}[/tex]
[tex]B =12[/tex]
Write down the value of the 4 in 8642 in figures
f f(x)=4x^(2)-9, find f(-1)
f(-1)= ?
Answer:
[tex]f(-1)=-5[/tex]
Step-by-step explanation:
Numeric Value of a Function
Given:
[tex]f(x)=4x^2-9[/tex]
It's required to find f(-1).
It can be calculated by substituting the value x=-1 in the function:
[tex]f(-1)=4(-1)^2-9[/tex]
Calculating:
[tex]f(-1)=4*1-9[/tex]
[tex]f(-1)=4-9[/tex]
[tex]\boxed{f(-1)=-5}[/tex]
f(x) = (1)
What is the x intercept
Answer:
There is no x-intercept, only a y-intercept, which would be 1
An airplane ascended into the sky to a steady altitude of 35000 feet. The same plane descended to a steady altitude of 32000 feet. How many feet did the airplane descend
Answer:
3000 feets
Step-by-step explanation:
Given that :
Initial Ascent to steady altitude = 35,000 feets
Descent to steady altitude = 32,000 feets
Number of feets the plane descend :
(Initial ascent to steady altitude - descent to steady altitude)
(35000 - 32000) feets = 3,000 feets
Y varies with x. When y=39, x=3. Find the value of y when x=2
Answer:
[tex] \frac{39}{y} = \frac{3}{2} \\ y = \frac{39 \times 2}{3} \\ \boxed{y = 26}[/tex]
26 is the right answer.Which expression below does not give the area of this figure?
a
b
c(a+b)
(a+b)c
ab + ac
ac + bc
Answer:
Step-by-step explanation:
Ab + ac
I need help please and thank you !
Answer:
π(12x^3y^5z)^2
Step-by-step explanation:
I doubt your teacher would want you to evaluate the whole thing but if they do leave a comment
The price of a technology stock was $9.70 yesterday. Today, the price fell to $9.59 Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
round it to 20×10 there's you answer
Can someone substitute this? Please and thank you
Step-by-step explanation:
soln
given
y=2x+3 -----(i)
y=-x-9 ------(ii)
now, putting value of equation (i) in (ii)
y= -x-9
or, 2x+3 = -x-9
or, 2x+x = 9-3
or, 3x = 6
or, x = 6/3
or, x = 2
again,
y = 2x+3
or, y = 2×2+3
or, y = 7
therefore, value of X and Y are 2 and 7 respectively.
How many cubic blocks of side length 1/6 inch qould it take to fill a rectangular prism with a length, width and height of 1/3 inch, 2/3 inch, 2/3, respectively
Answer:
32 cubes
Step-by-step explanation:
I would first determine the volume in inches of the rectangular prism.
V = 1/3 x 2/3 x 2/3 = 4/27 cubic inches.
Then I would calculate the volume of the cube with 1/6 inch sides
V = 1/6 x 1/6 x 1/6 = 1/216 cubic inches.
Then I would divide the V of the large prism by the V of the small cube
(4/27) / (1/216) = (4/27) * (216/1) = 32 cubes
Howie works at a petting zoo. He fed a piglet 1/5 of a bottle of milk then gave 3/4 of what was left to the calf. How much of the bottle of milk did the calf drink
Answer:
[tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.
Step-by-step explanation:
Part of the bottle fed by the piglet = [tex]\frac{1}{5}[/tex]
Milk left in the bottle = 1 - [tex]\frac{1}{5}[/tex]
= [tex]\frac{5-1}{5}[/tex]
= [tex]\frac{4}{5}[/tex]
Milk drunk by the calf = [tex]\frac{3}{4}[/tex]th of the left part
= [tex]\frac{3}{4}\times \frac{4}{5}[/tex]
= [tex]\frac{3}{5}[/tex]th part of the bottle
Therefore, [tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.
2.
.
X + 3
X + 18
X +4
X=
x = -1,-16,-2.
TIE FIGHTERS GO ZOOOOOOOM
HELPPP PLEASEEEE!!!!
Answer: $6.04
Step-by-step explanation:
add 65.25 and 86.50 you get 151.75 then do 157.79-151.75 and you get 6.04
Help!!!!!! Please and thanks
Answer:
HI I am back thanks for zooming in I would say your answer would be D sorry if i am wrong but that should be correct I am 98% sure. Plz let me know if it is correct or not! (Brainliest Plz)
Step-by-step explanation:
(PLz give me Brainliest)
Who can answer this? .. if u dk it don’t comment thanks ♡︎ .
How many groups of 13 inch are in 34 inch?
Answer:
2 groups
Step-by-step explanation:
13 times 3 is 39
39 is not 34
please mark me brainliest!!!
Simply please will give brainlist to first correct answer
9 x 2 = 2 x 9
A. Associative property of x
B. Distributive property
C. X inverse property
D. Commutative property of X
Answer:
D
Step-by-step explanation:
communicative property of X
I got some money for my birthday. I save and spend in the ratio 2:3. I save £32. How much money did I receive for my birthday?
Answer:
80 i think
Step-by-step explanation:
32.3=80
Step-by-step explanation:
Amount of money saved : spent = 2 : 3.
Since amount of money saved = £32,
Amount of money spent = £32 * (3/2) = £48.
Total amount of money = £32 + £48 = £80.
Therefore I received £80 for my birthday.
how many solutions does the equation 2 + 6 (x - 4) = 3x have?
Answer:
1 solution
Step-by-step explanation:
To find this out you can just solve the equation so if you simplify you get
2+6x-24=3x
-3x=-22
x=22/3
so one solution
take like 10 secs. im just not smart
Answer:
A
Step-by-step explanation:
Answer:
B.
hope it helps...........
Please Help Fast It’s Pretty Easy a sew both question please and thank you
Answer:
5x-10=60 being vertically plopposite angle .
Answer:
14; vertical
Step-by-step explanation:
since these are vertical angles, they will equal the same;
5x - 10 = 60
add 10
5x = 70
divide by 5
x = 14