Find k so that x + 2 is a factor of x ^ 3 - k * x ^ 2 + 2x + 7k. (If anyone could help me out with this that would be amazing!!)
Answer:
k = 4
Step-by-step explanation:
If x + 2 is a factor of the polynomial;
By the factor theorem, if we set x + 2 = 0, then make x the subject of the formula; if we substitute the value into the polynomial, the result we should have after calculating should be zero
So, we have it that;
x + 2 = 0
x = -2
Substitute into the polynomial and equate to zero
(-2)^3 - k (-2)^2 + 2(-2) + 7k = 0
-8 -4k -4 + 7k = 0
-12 -4k + 7k = 0
-12 + 3k = 0
-3k = -12
k = -12/-3
k = 4
please help me with the answer, ive been stuck on getting both answers for a while now ty
Answer:
[tex]3x + x - 17 + 13 = 116 \\ 4x = 120 \\ x = 30 \\ g = 73 \\ h = 43[/tex]
Position 3 Value of Term 8 20 Com
10. Jacque is adding a rectangular room on the back of his house. The length will be 5 meters
longer than the width. If the area of the room will be 150 square meters, what are the
dimensions?
Answer:
L = 15 m, b = 10 m
Step-by-step explanation:
Let width of the rectangle be b.
Length = 5+b
The area of the rectangle is 150 sq meters.
The area of rectangle is given by :
A = lb
So,
[tex]150=b(5+b)[/tex]
It is a quadratic equation. The solution of this equation is :
b = -15 m and 10 m
Neglecting -15, the width of the rectangle is 10 m.
Length = 5+10
= 15 m
So, the dimensions of the room are 10 m and 15 m.
Anyone know this cause my sister been lost for a day on this. I know it's nice t that hard to most of y'all but it's hard for her. ( will give big brain if I can)
Answer: The book tax is $1.10 and the video game is $3.40 so i'll let you figure this out
tell your sister that the nae nae frog has blessed her with the answer
The volume of the sphere is about (blank) ft.
Answer:
[tex]14.13[/tex]
Step-by-step explanation:
V=[tex]\frac{4}{3}[/tex][tex]\pi r^{3}[/tex]
Answer:
[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]
Step-by-step explanation:
we are given the redious of a sphere
we want to figure out the volume
remember that,
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi {r}^{3} [/tex]
since we are given the redious we can substitute
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi { \times 1.5}^{3} [/tex]
as the approximate value of π is given
substitute:
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 1.5}^{3} [/tex]
we know the order of PEMDAS. Parentheses, Exponent, Multiplication or Division, Addition or substraction
so
simplify square:
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 3.375}[/tex]
reduce fraction:
[tex] \rm\displaystyle V_{ \text{sphere}} = \frac{4}{ \cancel{ 3 \: }} \times 3.14 { \times \cancel{ 3.375}} \: ^{1.125} [/tex]
[tex] \displaystyle V_{ \text{sphere}} = 4\times 3.14 \times 1.125[/tex]
simplify multiplication:
[tex] \displaystyle V_{ \text{sphere}} =14.13[/tex]
since we cubed the redious and the redious is in feet, we of course use cubic feet
[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]
HELP PLEASE Quadratic Equations Math Nation
Answer:
its 5/6
Step-by-step explanation:
we just group things around and we have this
36 m^2 - 60 m = -25
Alternate forms:
12 m (3 m - 5) = -25
36 m^2 - 60 m + 25 = 0
Solution:
m = 5/6
Solve. Round to the nearest hundredth.
(Help! Will give brainliest)
I’ll give Brainly est help. B
Answer:
C) 99 + 3x
Step-by-step explanation:
Since it's always going to cost 99, it'll stay like that since it's a constant
Since it's 3 PER person, that means 3 will have a variable: 3x
-3(7x-5)
Please I need an answer ASAP
Answer:
-21x + 15!
Step-by-step explanation:
Multiply using the distributive property. Hope this helps!
-Lei
Hey I'm taking a math exam tomorrow please send words of encouragement please answer.
Answer:
did you study????? well if u did then why u scareddd shortteee.
Evaluate the expression below
(1/7)³
Answer:
1/49
Step-by-step explanation:
[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \tt{ \huge{{ \: {7}^{ - 3}}}}}}} [/tex]
Solve for the given variable in the equation: ½ n - 3 = 5
n = _______
Answer:
The correct solution is "n = 16".
Step-by-step explanation:
The given equation is:
⇒ [tex]\frac{1}{2} n-3=5[/tex]
On adding "3" both sides, we get
⇒ [tex]\frac{1}{2} n-3+3=5+3[/tex]
⇒ [tex]\frac{1}{2}n=8[/tex]
On applying cross multiplication, we get
⇒ [tex]n=8\times 2[/tex]
⇒ [tex]n=16[/tex]
A roller coaster goes down 0 feet and then up 55 feet.
Answer:
was that the full question? i cant seem to understand what your asking
Step-by-step explanation:
Hola me podría alguien ayudar con esto? Muchas gracias!
Answer:
Las respuestas estan a continuacion.
Step-by-step explanation:
Tres mas que un numero = a+3
La diferencia entr eun numero y 5 = a - 5
4 menos que n = 4 - n
Un numero aumenta en 1 = x + 1
Un numero disminuido en 10 = z - 10
El producto de dos numeros = x*y
Dos veces la suma de dos numeros = 2(a+b)
Doce veces un numero sumado a otro = 2a+b
El coceinte de dos numeros = a/b
Un numero aumentado en 3 = x+3
Un numero dismunuido en 2 = a - 2
El producto de m y n = m*n
El antecesor de un numero cualquiera = n - 1
El sucesor de un numero cualquiera = x+1
Espero te haya servido!
GIVE ME A SOLID ANSWER
I gain: These 2 pages answers
You gain: 25 points brainliest
Answer:
Sorry but it is really difficult to see the questions... :(
Can you zoom up on them?
Step-by-step explanation:
if there are 24 boys and 6 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
4:1, 6:2, 12:3, 24:6
Step-by-step explanation:
24 boy
6 girls
possible ratio
24 ÷ 6 = 4
6÷ 6 = 1
4 : 1
24 ÷ 3 = 6
6 ÷ 3 = 2
6 : 2
24 ÷ 2 = 12
6 ÷ 2 = 3
12 : 3
24 ÷ 1 = 24
6 ÷ 1 = 6
24 :6
What is the surface area of the cone? (Use 3.14 for π.)
339.12 cm ^2
715.92 cm ^2
307.72 cm ^2
417.62 cm ^2
Answer:
tambil anseeciot
Step-by-step explanation:
How could an Environmental Science and Protection Technician and an Environmental Engineering Technician be compared?
The careers are basically the same because both focus on protecting the environment.
Both focus on protecting the environment, but an Environmental Science and Protection Technician uses equipment to reduce the impact of issues while an Environmental Engineering Technician performs tests to identify issues.
Both focus on protecting the environment, but an Environmental Science and Protection Technician performs tests to identify issues while an Environmental Engineering Technician uses equipment to reduce the impact of issues.
The careers are different and belong to different career pathways within Manufacturing.
Answer:
the third one is correct. based on recent studies that i have read based on this topic. it should be right.
brainliest?
Step-by-step explanation:
3
Step-by-step explanation
edg
what are systems of equations and inequalities definitions?
Answer:
A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations. To solve such a system, you need to find the variable values that will make each inequality true at the same time.
Step-by-step explanation:
Hope this helps. :D
63
Which expression is not equivalent to
66
A
62
B
1
216
1
D
Answer:1216
Step-by-step explanation:
It’s to big and if this helps plz but a brainly :)
12-6.5 also i need help with a scenario and with a word problem the scenario is the photo i put and with two word problems ramona sees that her cat hasn"t been eating and wants him to gain more weight. If the cat weighs 6.78 pounds and the goal weight is 10.5 lbs, how much weight does Ramona want her cat to gain? these are two separate problems. Jessica is running a 5k which is about 3.1 miles at a charity event. She starts slowing down around 1.75 miles into the race. How much farther does Jessica have before reaching the finish line?
Answer:
The cat needs to earn 3.72 pounds
Jessica has 1.35 miles to earn in the race.
Step-by-step explanation:
3)
The first number minus the second number
is always eight
Answer:
Well, I mean, that's a vague question. there are a ton of numbers where you can subtract a second number and have it equal eight. 15 - 7 = 8
Step-by-step explanation:
Please help!! Area!!
Answer:
5*8*4
Step-by-step explanation:
Multipy them together lol
need help
problem/question in image below
Answer:
Option A would be the correct answer
I don't have an explanation to type but you can trust me :)
Please mark as brainliest for further answers :)MULTIPLE CHOICE !! HELP
Answer:
Its D
Step-by-step explanation:
Which value of "X" is a solution to this equation?
4x2 +22x +10
Answer:
Two solutions: X = -5 and X = -0.5
Step-by-step explanation:
4x^2 + 22x + 10 = 0 // divide by 2
2x^2 + 11x + 5 = 0
delta = 11^2 - 4 * 2 * 5 = 121 - 40 = 81
sqrt(delta) = 9
x1 = (-11 - 9) / 4 = -5
x2 = (-11 + 9) / 4 = -0.5
three times than five times a number
Answer:
15
Step-by-step explanation:
What is the following product
Answer:
the answer is 7x^2-12x square root of 14 +72 (option 2)
Step-by-step explanation:
Mike has a fish tank in the shape of a rectangular prism with dimesions of 6 feet by 5 feet by 3 feet. He has a canister that he uses to fill up the fish tank that is in the shape of a cylinder with a diameter of 2 feet and a height of 4 feet. How many tiems will he need to fil up the canister to fill up the tank?
Answer:
7 times
Step-by-step explanation:
To answer this question :
1. the volume of the rectangular prism has to b determined
2. the volume of the cannister has to be determined
3. divide the volume of the rectangular prism by the volume of the cannister
Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³
Volume of a cylinder = πr²h
where
h = height
π = 3.14
Diameter = 2r
radius = 2/2 = 1 feet
3.14 x 1 x 4 = 12.56 feet
90 / 12.56 = 7.2 times
Approximating to the nearest whole number gives 7 times