Answer:
a=4
b=-6
Step-by-step explanation:
If P(x) is divisible by x-c, then P(c)=0.
So P(1)=0 implies 1^3+a1^2+1+b=0
and
P(-3)=0 implies (-3)^2+a(-3)^2+-3+b=0
So notice we have a system to solve.
Let's simply it.
First equation:
1^3+a1^2+1+b=0
1+a+1+b=0
2+a+b=0
a+b=-2
Second equation:
(-3)^3+a(-3)^2+-3+b=0
-27+9a-3+b=0
9a+b-30=0
9a+b=30
Let's put our system together:
a+b=-2
9a+b=30
This is setup so if we subtract the equations b will eliminate allowing us to solve for a:
-8a=-32
a=4
If a=4 and a+b=-2, then 4+b=-2 giving us b=-6.
a=4
b=-6
How do I solve x squared 3 + 4 when x = 6
Answer:
Step-by-step explanation:
3 + 4 x = 6
Plot:
Plot
Alternate forms:
4 x = 3
4 x - 3 = 0
Number line:
Number line
Solution:
x = 3/4
please anybody help me to solve this question please help me
Step-by-step explanation:
Akmal=A
Aisyah=B
Atikah=C
B=m
A=2m
C=2m+25
C-B=?
2m+25-m=
=m+25
Which system of equations is shown by the graph?
Answer:
y-x=15 and 25+2x=y
Step-by-step explanation:
What are two numbers that multiply to 18 but add to -9?
Answer:
-6 and -3
-6 x -3 = 19
-6 + -3 = -9
Answer:
-6 x -3 = 18
-6 + -3= -9
Step-by-step explanation:
hope it helps!!
If f (-8)= 0 and f (x)= x^3-x^2-58x+112, find all the zeros of f(x) write your answer in ascending order
Answer:
The zeros in ascending order are 2, 7, 8.
Step-by-step explanation:
Since f(-8) = 0, it means that (x + 8) is a factor of the function f(x)= x³ - x² - 58x + 112.
I have attached the long division of this to get the remaining factors of the polynomial function.
The remaining factor is;
x² - 9x + 14
Using quadratic formula via a calculator, we have; x = 7 and x = 2
Thus,the zeros of the polynomial function f(x)= x³ - x² - 58x + 112 in ascending order are;
2, 7, 8
Fred is baking cookies for a school sale. It takes 3/4 cups of sugar to make on batch of cookies how many cups of sugar does he need to make 9 batches
Answer:
6 3/4 cups.
Step-by-step explanation:
Multiply 3/4 by 9.
Hope this helps!
Liliana bought a book for $13. She is selling the book for $24. What is the percent markup on the price of the book? Round to the nearest hundredths place.
Erik read a total of 4 books over 2 months. After belonging to the book club for 17 months, how many books will Erik have read in all? plss hep me thank you!!
Answer: 34 books
Step-by-step explanation:
Since Erik read a total of 4 books over 2 months. This means that every month, he read (4/2) = 2 books.
After belonging to the book club for 17 months, the number of books that he'll have read will be the number of books he read per month multiplied by 17 months. This will be:
= 2 × 17
= 34 books
Solve the given system of equations.
4x+5y=10
-x-8=3y
how many solutions does equation 4x + 3 - 1 = 2(2x + 2) - 2x have explain your reasoning.
Answer:
Anwser: X=1
4x+3-1=2(2x+2)-2x
4x+2=4x+4-2x
4x+2=2x+4
-2 -2x
2x=2
X=1
Step-by-step explanation:
Answer:
one solution
Step-by-step explanation:
Given
4x + 3 - 1 = 2(2x + 2) - 2x ← distribute parenthesis on right side
4x + 2 = 4x + 4 - 2x
4x + 2 = 2x + 4 ( subtract 2x from both sides )
2x + 2 = 4 ( subtract 2 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
pls help me, i will actually give BRAINLIEST:
What is the transformation shown in the graph?
Answer:
Step-by-step explanation:
it's rotated by 90° about the origin , in a clock wise direction
James had $43 on his birthday he received $25. Write and solve and equation to find out how much money he has now.
Answer:
43+25=68
Step-by-step explanation:
Please Help. Im in a hurry!!
Answer:
A
Step-by-step explanation:
How do angles of depression and elevation relate when solving problems involving right triangles?
Please help me with my geometry work
What is the slope of Y-9=-2(x-8)
what's 60.540 to the nearest degree?
Answer:
don't know :)
Step-by-step explanation:
The local pizza restaurant offers free delivery if you live within a 6-mile radius of the restaurant. The restaurant is located at the origin. Ada’s house is 4 miles west and 5 miles north of the restaurant at point (–4, 5). Does Ada’s house lie on or within the circle representing the area that gets free delivery?
a. No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius.
b. Yes, the distance from the restaurant to Ada’s house is exactly 6 miles.
c. No, the distance from the restaurant to Ada’s house is 7 miles, which is greater than the 6-mile maximum radius.
d. Yes, the distance from the restaurant to Ada’s house is miles, which is less than the needed 6-mile radius.
Answer:
A.......No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius
Step-by-step explanation:
Using the distance between two points, it is found that the correct option regarding whether Ada’s house lie on or within the circle representing the area that gets free delivery is given by:
a. No, the distance from the restaurant to Ada’s house is [tex]\sqrt{41}[/tex] miles, which is greater than the 6-mile maximum radius.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, we want to find the distance between the restaurant at the origin (0,0) and Ada's house at point (-4,5), hence:
[tex]d = \sqrt{(5 - 0)^2 + (-4 - 0)^2} = \sqrt{41} > 6[/tex]
Greater than 6 miles, hence option a is correct.
More can be learned about the distance between two points at https://brainly.com/question/18345417
Which list shows all the possible unique outcomes if Emilio chooses 3 buttons at one time from his jar?
Write an equation in slope-intercept form for the line that passes through the
given point and is parallel to the graph of the given equation.
(4, -6), y=-3/4x+1
Answer:
[tex]y=-\frac{3}{4}x-3[/tex]
Step-by-step explanation:
The slope will be the same as the one in the given equation since they are parallel, you can substitute the x and y of the given point into the given equation, replacing the 1 with m to get m in the equation.
I hope this helps :)
Judah rides his bike 15 miles in 1/2 an hour.How many miles does he ride in one hour?
solve for y
2y-13=11
Answer:
y = 12
Step-by-step explanation:
2y - 13 = 11
add
2y = 24
divide
y = 12
2y - 13 = 11
+ 13 + 13
-----------------------
2y = 24
/2 /2
-----------------------
y = 12
What is the slope of this line? Please awnser
Answer:
-1/2
Step-by-step explanation:
The rise is -1 and the run is 2, the slope is rise over run
I hope this helps :)
What would it be? thank you
Answer:
C = 43.98 inches; A = 153.94 square inches
Step-by-step explanation:
2*pi*(7)=43.98
pi*(7)^2=153.94
2. A store sells an assortment of batteries
in bulk packs of 300. Of those batteries.
90 are AAA size. What percent of the
pack are AAA-size batteries?
A 10%
B 30%
C 60
D 90
Answer quick PLZZ no website
Answer:
30%
Step-by-step explanation:
# of bulk packs = 300
# of triple As = 90
% = 90 / 300 * 100%
% = .3 * 100%
% = 30%
Answer:
b. 30%
Explanation:
90 ÷ 300 × 100%
= 9 ÷ 30 × 100%
= 0.3 × 100%
= 30%
i hope this helps! :D
which sign do i use??/
Given sin y = -4/5, where π < y < 3π/2, and cos x = 12/13, where 0 < x < π/2. Find the exact value of sin (x - y).
Please show all the exact steps in order I am really lost on how to solve this.
Answer:
Solution given:
sin y = -4/5
p/h=4/5
p=4
h=5
b=√{5²-4²)=3
cos y = b/h=-3/5
again
cos x=12/13
b/h=12/13
b=12
h=13
p=√(13²-12²)=5
sin x=p/h=5/13
now
sin[x-y]=sinxcosy-cosxsiny
=5/13×-3/5-(12/13×-4/5)=33/65 is your answer.
What is the slope if you are given the following ordered pairs? (Simplify)
(-1,6) & (8,6)
Answer:
7/2
Step-by-step explanation:
y2-y1/x2-x1
(6-(-1)/8-6) = 7/2
will give brainlist
Answer:
second answer
Step-by-step explanation:
yards is commonly used for large sparse area measurements
The radius of a circle is 3.8 feet find the diameter
Answer:
7.6
Step-by-step explanation:
radius is half the diameter so multiply 3.8 times 2.