Answer:
For [tex]x \in\mathbb{C}[/tex]
[tex]x = -2i[/tex]
[tex]x = 2i[/tex]
[tex]x = 7[/tex]
Step-by-step explanation:
[tex]f(x)=x^3-7x^2+4x-28[/tex]
For [tex]f(x) = 0[/tex]
[tex]x^3-7x^2+4x-28 = 0[/tex]
We can easily factor the expression [tex]x^3-7x^2+4x-28[/tex] by grouping.
[tex]x^3-7x^2+4x-28 = (x^3-7x^2)+(4x-28) = x^2(x-7)+4(x-7) = \boxed{(x^2+4)(x-7) }[/tex]
Now we have
[tex](x^2+4)(x-7) = 0[/tex]
Therefore,
[tex]x^2+4 = 0 \text{ or } x-7 = 0[/tex]
So,
[tex]x^2 = -4 \implies x = \pm\sqrt{-4}[/tex]
Once [tex]\sqrt{-1} = i[/tex]
[tex]x = \pm\sqrt{-4} = \pm\sqrt{4}\sqrt{-1} = \pm 2i[/tex]
Ruth is at the park standing next to a slide. Ruth is 5 feet tall, and her shadow is 4 feet long. If the shadow of the slide is 4.8 feet long, what is the height of the slide?
I think its 3.8?????I could be wrong
Answer:
Step-by-step explanation:
6 feet
What is the area of this figure? *
15 m
5 m
8 m
8 m
Answer:
Where is the picture of the figure ?
Answer:
where’s pic
Step-by-step explanation:
?
Can sum one help pls I don’t understand
Where is the picture I don't see it
Please just try and help it’s due in 18 mins. I’ll mark brainliest. :)
help quick please ! 10 points
Answer:
A, (Hope that was correct)
Step-by-step explanation:
[tex]\frac{1}{2} x \frac{3}{4}[/tex]
Write the equation for the line that has the given slope and contains the given point.
slope = −2
passes through ( 3 , 1 )
Answer:
Step-by-step explanation:
y = mx + b
m = slope
b = y intercept
y and x in the equation represent the coordinate points (3,1)
so substituting,
y = -2x + b
1 = -2(3) + b
1 = -6 + b
b = 7
so the final equation is,
y = -2x + 7
Divide. Write the answer in simplest form. 3=6= 8
[tex] \frac{3}{8} \div 6[/tex]
Find the value of x and
simplify completely.
Answer:
[tex]x^{2}=27*30\\x^{2} = 810\\x=9\sqrt{10}[/tex]
Can someone check this one for me if this is right? Which best explains why the given lines are or are not parallel?
x=-4,x=1
answer : the answer is a
how many 1/3's are in 3
Answer:
9
Step-by-step explanation:
1/3 times9=3
An assistant cook peeled 18 potatoes in 6 minutes. At this rate, how many potatoes can he peel in 50 minutes?
Answer:
[tex]150[/tex] potatoes
Step-by-step explanation:
Since the assistant can peel [tex]18[/tex] potatoes in [tex]6[/tex] minutes, we know that he can peel [tex]\frac{18}{6}=3[/tex] potatoes in [tex]1[/tex] minute. Therefore, he will be able to peel [tex]3*50=150[/tex] potatoes in [tex]50[/tex] minutes. Hope this helps!
snog used unitary method to find the answer.
ALITER:-
Given,
Potatoes peeled in 6 minutes = 18
Let, potatoes cooked in 50 minutes = k
Here, more the time passes, the more the assistant peels potatoes.
∴ It is a case of direct variation,
where,
x/y = k (constant)
So, 18/6 = k/50 (potatoes peeled/time)
⇒ k = 3 × 50 = 150 (answer).
9. What is the degree of the polynomial (x - 1)(x + 2)(2x - 3)?
A. 4
B. 3
C. 2
(explain please)
Answer:
coefficient of the term of degree 4 in this polynomial is 3
Step-by-step explanation:
Which of the following correctly shows the distributive property?
A 4(x + 5) = 5(x + 4)
B
4(x + 5) = (4)(x) + 5
с
4(x + 5) = x + (4)(5)
D
4(x + 5) = (4)(x) + (4)(5)
Plsssss I need help
What is the end behavior of the graph of f(x) = -0.25x2 – 2x + 1?
End behavior means what are the y-values doing as the x-values both increase and decrease without bound.
This is a parabola (degree 2) with a negative leading coefficient (−0.25). Therefore both ends of the graph will be going towards negative infinity.
As x increases, f(x) decreases.
As x decreases, f(x) decreases.
Since the highest degree of the given function, f(x) = -0.25x² – 2x + 1 the end behavior of the graph will be down.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that,
f(x) = -0.25x² – 2x + 1
A polynomial function's end behavior defines how the graph acts as x gets closer. The leading term of the function—that is, the term with the highest n-value for a × n, where n is a positive integer and an is any nonzero number—allows us to infer the function's final behavior.
The highest degree of the given function is 2. When the function is plotted on the graph we get the graph shows downward behavior when x gets closer.
Thus, since the highest degree of the given function, f(x) = -0.25x² – 2x + 1 the end behavior of the graph will be down.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Please help me ASAP I’ll mark Brainly
3x+y=10
Which are solutions of the linear equation select all that apply
(1,6)
(2,4)
(3,1)
(4,-1)
(5,-5)
What is the sum of the exterior angles of a 10-gon figure?
Answer:
The sum of the exterior angles of a regular polygon will always equal 360 degrees.
SOMEONE PLEASE HELP!!! THIS IS MY LAST QUESTION!!!
Answer:
The answer to the question provided is 30.
Step-by-step explanation:
[tex] \frac{18}{27} = \frac{20}{x} \\ \\ \frac{540}{18} = \frac{18x}{18} \\ \\30 = x[/tex]
Happy to help!
=====================================================
Explanation:
Due to the parallel lines, we have two similar triangles. So the sides are proportional.
18/27 = 20/x
2/3 = 20/x
2x = 3*20
2x = 60 .... cross multiply
x = 60/2
x = 30
---------------
Another way you can approach it is to say
18/(18+27) = 20/(20+x)
18/45 = 20/(20+x)
2/5 = 20/(20+x)
2(20+x) = 5*20
40+2x = 100
2x = 100-40
2x = 60
x = 60/2
x = 30
Which set of side lengths form a right triangle?
2 inches, 3 inches, 4 inches
6 inches, 8 inches, 10 inches
8 inches, 9 inches, 11 inches
10 inches, 12 inches, 13 inches
Answer:
It’s 10 inches, 12 inches, 13 inches
Step-by-step explanation:
help don't answer if you don't know
Answer:
not 100% confident but I think this is at least close
Step-by-step explanation:
solve for one variable
1. x-5y=2
x=2+5y
plug this in to another equations and simplify
2. (2+5y)-y=16
2+4y=16
4y=14
y=3.5
this can be plugged in to all other equations to find x
1. x-5(3.5)=2
x-17.5=2
x=19.5
2. x-(3.5)=16
x=19.5
3. 2x-(3.5)=5
2x=8.5
x=4.25
4. x-3(3.5)=4
x-10.5=4
x=14.5
8. Have you ever heard the word tithe? It means a tenth or 10%. Leviticus 27:30 reads, "A tithe of
everything from the land, whether grain from the soil or fruit from the trees, belongs to the LORD;
it is holy to the Lord." Therefore, we see in the previous question that Nick's youth group was
able to save more than 10% and in return they donated the money. In your opinion, why does
God require us to give 10% back to Him and what does that look like for you?
I
Rubric and grade:
Your final grade will be calculated based on the score from the rubric below using the following formula:
Your grade - Total points + 35 x 100
Equations
Table
Question 4
Question 5
Question 6
Question 7
Question 8
PLEASE ANSWER ASASP
-5y + 4 = -11
what is y?
Answer:
3
Step-by-step explanation:
-5y + 4 = -11 Get rid of the numbers to get y alone.
-5y +4 minus 4 = -11 minus 4 Here you are removing the 4 from the left
-5y = -15 Now you will have to get rid of the -5
-5y/(-5) = -15/(-5)
y = 3
Answer:
y = 3
Step-by-step explanation:
-5y + 4 = -11
-4 -4
-5y = -15
--------------
-5 -5
y = 3
Write an equation of the line passing through the .1, eight and parallel to y=-3X +10
Answer:
y= -3x+11
Step-by-step explanation:
I am assuming ".1, eight" is (1,8)
y=-3x +10<--- the slope is -3 so plug into this equation: y-y1=m(x-x1)
y-8=-3(x-1)
y-8=-3x+3
Is 8/18 closer to 0 1/2 or 1
Answer:
Closer to 1\2
Step-by-step explanation:
half of 18 is 9 and if you add 1 to 8 you get 9 so 8\18 is closer to 1\2
Hope it helps!
What is 8 2/5 minus 5/8
Answer: 7.775 as a decimal, as a fraction, 311/40.
Step-by-step explanation:
Answer:
im 95%ly sure itz just 8
Step-by-step explanation:
Geometry question
What is the formula to find the surface area of a pyramid with a triangle base?
Answer:
Step-by-step explanation:
12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $53,533. The variable costs will be $12.50 per book. The publisher will sell the finished product to bookstores at a price of $24.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
9514 1404 393
Answer:
4,556
Step-by-step explanation:
Revenue from the sale of n books is ...
R = 24.25n
Production cost for n books is ...
C = 53533 +12.50n
These are equal for ...
24.25n = 53533 +12.50n
11.75n = 53533
n = 53533/11.75 = 4556
The publisher must produce 4556 books so sales will equal production cost.
What is the product?
3.[ 1 -4 5 -7]
a. [3 -12 15 -21]
b. [4 -1 8 -4]
c. [3 12 15 21]
d. [4 -12 8 -21]
Answer:
(a) [3 -12 15 -21]
Step-by-step explanation:
Given;
3.[ 1 -4 5 -7]
The product of the function is calculated as;
3.[ 1 -4 5 -7] = [1 x 3 -4x3 5x3 -7x3]
= [3 -12 15 -21]
Therefore the correct option is "a" [3 -12 15 -21]
this is due in 15 minutes so I need it asap
Answer:
B and C
Step-by-step explanation:
[tex]56 - ( {3}^{3} + 13) = 16[/tex]
For A
[tex] \frac{92 - (12 + 16)}{4} = 16 \\ [/tex]
For B
[tex] {6}^{2} \div 4 + 5 = 14[/tex]
For C
[tex](6 \times 7) + 3 + 2 = 47[/tex]
For D
[tex]19 \times 4 - {8}^{2} + 4 = 16[/tex]
Here, B and C have not same value
