Answer:
k = - 6
Step-by-step explanation:
Since (x - 2) is a factor then x = 2 is a root
Substitute x = 2 into the polynomial and equate to zero, that is
2³ + k(2)² + 12(2) - 8 = 0
8 + 4k + 24 - 8 = 0
4k + 24 = 0 ( subtract 24 from both sides )
4k = - 24 ( divide both sides by 4 )
k = - 6
What is the simplest form of 63/91
Answer:
Step-by-step explanation:
9/13
divide them by 7
Can you please help me on 2,3,4, and 5? I will mark the brainliest plus 12 points for answering.
Answer:
2) Exact
3) Exact
4) Exact
5) Approximation
Step-by-step explanation:
what is the opportunity cost of one gun in this nation
stadium already has 250 people in it at noon.If 35 people per minute enter the stadium,how many are in the stadium at 1:30 p.m. when a concert is supposed to begin?
Answer:
3,400 people
Step-by-step explanation:
First, find how many minutes are between noon and 1:30 pm
This is an hour and 30 minutes, so it will be 90 minutes
Then, multiply 90 by 35, since 35 people enter per minute
90(35)
= 3150
Then, add the 250 people that were already in it
3150 + 250
= 3400
So, there will be 3,400 people in the stadium
Answer:
3400
Step-by-step explanation:
250+35m=noon
Which of these graphs do not represent constant rates of change? Check all that apply
Answer:
A and B
Step-by-step explanation:
I NEED HELP ASAP 40 POINTS
Answer the following questions.
1) Choose the correct name for the set of numbers.
{..., – 3, -2, - 1,0, 1, 2, 3, ...}
whole numbers
integers
rational numbers
natural numbers
real numbers
irrational numbers
Answer:
integers
they include all whole numbers and their negative counterpart
Answer:
Step-by-step explanation:
the correct name for the set of numbers is integers numbers.
2120
Question #7MultipleChoice
Show Answer
Subtract the following fractions. (Reduce answers to lowest terms.)
3/10 - 1/4=
3/14
3/6
1/2
1/20
Answer:
1/20
Step-by-step explanation:
3/10 - 1/4
First, convert the fractions to a common denominator:
3/10 *2/2 = 6/20
1/4 * 5/5 = 5/20
Now put them back into the equation and solve:
6/20 - 5/20 = 1/20
Another way to do this:
3/10 - 1/4
Convert the fractions into decimals:
3/10 = 0.3
1/4 = 0.25
substitute back into the equation and solve:
0.3 - 0.25 = 0.05
convert back into fractions:
0.05 = 1/20
y varies directly with x, and y=24 when x=-15. what is x when y=16? a) 10 b) -22.5 c) -10 d) -25.6
Answer:
c
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 24 when x = - 15, then
24 = - 15k ( divide both sides by - 15 )
k = [tex]\frac{24}{-15}[/tex] = - [tex]\frac{8}{5}[/tex] = - 1.6 , thus
y = - 1.6x ← equation of variation
When y = 16, then
16 = - 1.6x ( divide both sides by - 1.6 )
x = - 10 → c
Which step is the most efficient way to find the solution of x + 4 > -8? Answer choices: A: Add 4 to both sides. B: Subtract 4 from both sides and switch the inequality symbol. C: Substitute 1 for x and see if it works. D: Subtract 4 from both sides.
Answer:
d
Step-by-step explanation:
The most efficient step to finding the solution to the given inequality is, to subtract 4 from both sides. Option D is correct.
Given that,
To determine which step is the most efficient way to find the solution of x + 4 > -8.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Given inequality,
x + 4 > -8
Subtract 4 from both sides,
x + 4 - 4 > - 8 - 4
x > -12
Thus, the most efficient step to finding the solution to the given inequality is, to subtract 4 from both sides. Option D is correct.
Learn more about inequality here:
brainly.com/question/14098842
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a vendor sells hot dogs and a bags of chips. A customer buys 2 hot fogs and 4 bags of potato chips for $10. another customer buts 3 hot dogs and 4 bags of potato chips for 12 dollars. what does each item cost?
Answer:
chips 1.50 cents hot dogs 2 dollars
Step-by-step explanation:
Hot do is 2 dollars because the same chips were put but 1 extra dog is 2 dollard and you divide from there and get 1.50 for chips
PLEASE HELP I WILL MARK YOU BRAINLIEST.
Answer:576cm
Step-by-step explanation:
Multiply length width
And height
Answer:
[tex] \boxed{ \bold{ { \boxed{ \sf{576 \: cubic \: centimeters}}}}}[/tex]
Step-by-step explanation:
Given,
Length of the rectangular prism ( l ) = 16 cm
Height of the rectangular prism ( h ) = 4 cm
Width of a rectangular prism ( w ) = 9 cm
Finding the volume of the rectangular prism. having length of 16 cm , width of 9 cm and height of 4 cm
[tex] \boxed{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}[/tex]
[tex] \longrightarrow{ \sf{volume \: = 16 \times 9 \times 4}}[/tex]
[tex] \dashrightarrow{ \sf{576 \: {cm}^{3} }}[/tex]
Hope I helped!
Best regards! :D
5. If x^1/2 =8, what is the value of x?
A boy flying a kite lets out 300 feet of string. The height of the kite is 185 feet. What is the angle
formed between the string and the ground?
Answer:
The string, the height and the ground form a right triangle
The hypotenuse = 300
height =185 = opposite side
sine of the angle = 185 / 300 = 0.6166666667
arc sine (.616666666666) =
38.073 degrees
Step-by-step explanation:
pls help this is due in 30 min
Thank you sm
1. There are 4 quarters in 1 dollar.
a) Shades 1/2 of a dollar.
b) How many cents is 1/2 of a
dollar?
Find the first four terms of the sequence using the recursive formula.
Answer:
- 3, - 11, - 35, - 107
Step-by-step explanation:
Using the recursive formula with f(1) = - 3 , then
f(2) = - 2 + 3f(1) = - 2 + 3(- 3) = - 2 - 9 = - 11
f(3) = - 2 + 3f(2) = - 2 + 3(- 11) = - 2 - 33 = - 35
f(4) = - 2 + 3f(3) = - 2 + 3(- 35) = - 2 - 105 = - 107
Thus the first four terms are
- 3, - 11, - 35, - 107
Write the expression using a positive exponent 8^-5
Answer:
1/8^5 is the simplified answer
Step-by-step explanation:
The product of Bart's age and 26 is 338. Write and solve a multiplication equation to find Bart's age. Yeah
Answer:
13 years old
Step-by-step explanation:
A product is 2 numbers that are multiplied together.
So, to find the unknown number, simply divide 338 by 26
338/26=13
Bart is 13 years old.
How can unit rates and proportional reasoning be used to solve problems?
HELP PLEASE
what is the slope of the function
Answer:
1/2 probably
Step-by-step explanation:
Help me plz !!!!!!!!!!!!!!!!!!!!!
Answer:
letter b. 30% decrease
Given f(x) = 5x - 4, find f(2).
Answer:
6
Step-by-step explanation:
f(x)=5x-4
f(2)=5(2)-4
10-4=6
Which equation is equivalent to x + x - (-3) = 12?
A. x2 + 3 = 12
B. x2 – 3 = 12
C. 2x + 3 = 12
D. 2x – 3 = 12
Answer:
C.) 2x+3 = 12
Step-by-step explanation:
x+x=2x
2x-(-3) is 2x+3
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Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume
of the ramp?
7.5 m3
11.5 m
1 m
4 m
28 m
2 m
3.5 m
15 m
Answer:11.5
Step-by-step explanation:I’ve done this in a test before and that is the correct AnSwEr
what has an infinite number of points and lines on a flat surface.
Answer: a plane
Step-by-step explanation: A flat surface made up of points that extends infinitely in all directions. There is exactly one plane through any three points that are not on the same line. Two dimensions with length (infinite) and width (infinite).
the discriminant of the equation 7√3x²+10x-√3 is...... plzz i need it fast
Step-by-step explanation:
Hey there!
Here,
The equation is:
[tex]7 \sqrt{3 \: } {x}^{2} + 10x - \sqrt{3 } = 0[/tex]
Comparing the equation with ax^2+bx+c=0. We get;
[tex]a = 7 \sqrt{3} [/tex]
[tex]b = 10[/tex]
[tex]c = \sqrt{3} [/tex]
Now,
Discriminant= ?
We have,
[tex]discriminant = {b}^{2} - 4ac[/tex]
Put all values.
[tex]discriminant = {10}^{2} - 4 \times 7 \sqrt{3} \times \sqrt{3} [/tex]
[tex]discriminant = 100 - 4 \times7 \times 3[/tex]
[tex]discriminant = 100 - 84[/tex]
Therefore the discriminant = 16.
Hope it helps...
Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
y = -3 ÷ 2x - 3
Step-by-step explanation:
As it can be seen that the line is passed by y-axis at -3.
Now we have to determine the slope
For this, use the following formula
= (x2 - x1) ÷ (y2 - y1)
At
(-2, 0), (0, -3)
So,
= (-3-0) ÷ (0+2)
= -3 ÷ 2
Now
Put in the following equation
y = mx + b.
where,
m = slope
b = y-intercept
So,
y = -3 ÷ 2x - 3
What is -2(x + 3 ) = -2x-6
Answer:
0 = 0 (infinite solutions)
Step-by-step explanation:
-2(x+ 3) = -2x - 6
Multiply -2 to x and 3
-2x -6 = -2x - 6
Add 2x on one side to get zero, and add 6 to the other side to get 0
0 = 0
There are infinite solutions
Find the area of the circle given the radius. Round to the
nearest hundredth when necessary.
r = 16.5 in
Solve for k.
12/k = 3
Answer:
k=3/12
k=.25
Step-by-step explanation:
we need to get k by itself
because 12 is over k we need to get rid of it by moving it to the other side (multiplying) because it is 12/k we need to multiply it by 1/12
This eliminates 12 and leaves us with k=3/12