Answer:
Step-by-step explanation:
3/4
Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks
9514 1404 393
Answer:
a) k = -19
b) P(x) = (5x +1)(3x -1)(2x -1)
c) x = {-1/5, 1/3, 1/2}
d) see attached
e) no; P(-1) = -48
f) see attached
Step-by-step explanation:
a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:
1 + (10 +k)/9 = 0
(10 +k)/9 = -1 . . . . . subtract 1
10 +k = -9 . . . . . . . .multiply by 9
k = -19 . . . . . . . . . . subtract 10
For (3x -1) to be a factor, the value of k is -19.
__
b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...
P(x) = (5x +1)(3x -1)(2x -1)
The linear factors can also be obtained by finishing the factoring of ...
P(x) = (3x -1)(10x^2 -3x -1)
The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).
So P(x) = (3x -1)(5x +1)(2x -1).
__
c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.
__
d) See the attachment for a graph
__
e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).
__
f) See the attachment.
PLEASE HELP ME,!!!!!!!!!!! ALL LINKS WILL BE REPORTED!!
Which of the following indicates the subtraction property of equality when solving the equation 86 – 2 (9x + 4) = 12x + 18?
Question options:
A)
2(9x + 4) = 86 – 12x – 18
B)
–2(9x + 4) = 12x + 18 – 86
C)
x = 2
D)
86 – 18x – 8 = 12x + 18
Answer:
D
Step-by-step explanation:
Answer: D) 86 - 18x - 8 = 12x + 18
Find the equation for the
following parabola.
Vertex (2, -1)
Focus (2, 3)
Answer:
(x−2)^2=16(y+1)
Step-by-step explanation:
The equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
The vertex of the parabola = (2, -1)
The focus of the parabola = (2, 3)
As we know, the vertex form of the parabola is given by:
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
(x - 2)² = 4a(y - (-1))
(x - 2)² = 4a(y + 1)
The value of a can be found using the formula:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
(c, d) = (2, 3)
a = √[(2-2)² + (3-(-1))²]
a = √ (3+1)²]
a = 4
(x - 2)² = 4(4)(y + 1)
(x - 2)² = 16(y + 1)
Thus, the equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ2
Does anyone know the answer to this help fast!
1. Anne and Kelly are exploring a desert. Anne leaves camp and walks for 2 miles at 125 degrees. She then turns to a direction of 40 degrees and walks straight for 3 miles. How far and in what directiort will she have to walk to get back to camp?
Given f(x)=3x^3+kx-8, and the remainder when f(x) is divided by x-3 is 43, then what is the value of k?
Answer:
k= - 10
Step-by-step explanation:
43 = - 8 +3(27+k)
3(27+k) = 51
27 + k = 17
k = - 10
Up to 12 people, p, can ride in the van.
Answer:
12 people can fit so the van had enough sests
Nancy watches her dad fix a broken chair with a nail and a hammer, but she finds the hammering sound too loud. So, she decides to go back to her room, which is next door. On entering her room, she finds the hammering does not sound as loud. Why does the sound become faint?
Answer:
The sound of hammering becomes fainter as Nancy goes into her room because some of the sound waves are absorbed by the walls. Only part of the sound waves coming from the other room comes into her room, so the hammering sounds quieter.
I hope this helps. Good luck ^^
99% of 71.6 is what?
Answer: 70.884
Step-by-step explanation:
PLEASE HELP ASAP
Find the surface area and the volume of the prism.
Answer:
Surface Area: 1320
Volume: 2160
Step-by-step explanation:
Before calculating Volume and Surface Area, we need to calculate the missing side of the right triangle using the Pythagoreon theorem: [tex]a^2+b^2=c^2[/tex]
where c is the hypotenuse, 26.
Substituting the values into the equation you get:
10^2 + b^2 = 26^2
100 +b^2 = 676
Subtract 100 from both sides.
b^2 = 576
b = 24
Now that we have the missing side, we can calculate the rest of the question.
Surface Area = 2([tex]\frac{1}2[/tex] × 24 × 10) + (18 × 26) + (18 × 24) +(18 × 10)
240 + 468 + 432 + 180 = 1320 unit^2
Volume = [tex]\frac{1}2[/tex] × base × height × length
[tex]\frac{1}2[/tex] × 24 × 10 × 18 = 2160 unit^2
Brainliest if you don't mind ;)
PLZ HELP ME GUYS PLZ
Answer:
y=2x+3
x=(-1)
y=-5x+6
x=1
Step-by-step explanation:
Just find x in the equation
PLEADE HELP I WILL MARK YOU AS BRAINEIST
Answer:
83
Step-by-step explanation:
a = 25
The biggest angle is (3a+8) = 83
Answer:
83
Step-by-step explanation:
(3a+8)+(60-a)+(4a-38)=180
combine like terms, 6a+30=180
inverse operation to isolate the variable, 6a=150
divide six on both sides, a=25
replace a in every expression, 3(25)+8=83
60-25=35
4(25)-38=62
83 is biggest out of the three, therefore 83 is the answer.
Complete the table of values for y = 0.5x + 1
can you help?
hope the answer can help you.
Answer:
x is -2, -1, 0, 1, 2 and y is 0, 0.5, 1, 1.5, 2
What’s is the volume, Length: 4, Width: 3 3/4, Height: 6 HELP ME GIVING 10 POINTS
Answer:
huh thats 5
Step-by-step explanation:
I would be clad to but I don't have time to sorry
not sorry also
thanks fo
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and why would I want to do that its not that hard lol XD
The volume of a cone is given by v=13πr2h. If a cone has volume 3π, what is the height of the cone when the radius is 12?
Answer:
16units
Step-by-step explanation:
Given data
The expression for the volume of a cone is given as
v=1/3πr^2h
v= 3π
r= 12
h=???
Substitute
3π= 1/3*π*12^2*h
3= 1/3*144*h
3= 144h/3
cross multiply
3*3= 144h
9= 144h
h= 144/9
h=16 units
Hence the heeight is 16units
pls helppp! tysmmmm!!
graph g(x)=− 51 (x+5) ^2 − 2
Answer:Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
5
,
1
)
Focus:
(
5
,
9
8
)
Axis of Symmetry:
x
=
5
Directrix:
y
=
7
8
x
y
3
9
4
3
5
1
6
3
7
9
A spinner with 20 equal-sized sections has 5 red, 10 blue, 3 green, and 2 yellow sections. Ann pays $10 to spin the spinner. If she spins a yellow, she wins $20; if she spins green, she wins $15; otherwise, she loses.She plays the game twice. What is the expected payoff for her games?
Answer:
The expected payoff for Ann is that she loses the game
Step-by-step explanation:
The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.
PLEASE SOMEONE HELP ME WITH THIS. NO LIN.KS!!!!!
Answer:
1.
centre(h,k)=(-13,9)
radius (r)=6
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x+13)²+(y-9)²=6²
(x+13)²+(y-9)²=36you can write this equation too
x²+26x+169+y²-18y+81=36
x²+y²+26x-18y+169+81-36=0
x²+y²+26x-18y +214=0
is a required equation of the circle.
2.
centre(h,k)=(1,-1)
radius (r)=11
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-1)²+(y+1)²=11²
(x-1)²+(y+1)²=121
you can write this equation too
x²-2x+1+y²+2y+1=121
x²+y²-2x+2y=121-2
x²+y²-2x+2y=119
is a required equation of the circle.
3.
centre (h,k)=(3,1)
radius (r)=4units.
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-3)²+(y-1)²=4²
(x-3)²+(y-1)²=16 is a required equation.
4.
centre(h,k)=(4,-2)
radius (r)=3
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-4)²+(y+2)²=3²
(x-4)²+(y+2)²=9
you can write this equation too
Answer:
Whatever he just answered
Step-by-step explanation:
1.
centre(h,k)=(-13,9)
radius (r)=6
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x+13)²+(y-9)²=6²
(x+13)²+(y-9)²=36you can write this equation too
x²+26x+169+y²-18y+81=36
x²+y²+26x-18y+169+81-36=0
x²+y²+26x-18y +214=0
is a required equation of the circle.
2.
centre(h,k)=(1,-1)
radius (r)=11
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-1)²+(y+1)²=11²
(x-1)²+(y+1)²=121
you can write this equation too
x²-2x+1+y²+2y+1=121
x²+y²-2x+2y=121-2
x²+y²-2x+2y=119
is a required equation of the circle.
3.
centre (h,k)=(3,1)
radius (r)=4units.
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-3)²+(y-1)²=4²
(x-3)²+(y-1)²=16 is a required equation.
4.
centre(h,k)=(4,-2)
radius (r)=3
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-4)²+(y+2)²=3²
(x-4)²+(y+2)²=9
you can write this equation too
Use a1=6 and d=8 to write the first 5 terms of the sequence and the 20th term.
Answer:
right
Step-by-step explanation:
s
a
k
+
1
=
a
k
+
2
and
a
1
=
6
a
2
=
a
1
+
2
=
6
+
2
=
8
a
3
=
a
2
+
2
=
8
+
2
=
10
a
4
=
a
3
+
2
=
10
+
2
=
12
and
a
5
=
a
4
+
2
=
12
+
2
=
14
and hence first five terms are
{
6
,
8
,
10
,
12
,
14
}
As
a
k
+
1
=
a
k
+
2
, each term is
2
more than previous term
it is an arithmetic sequence with first term as
a
1
and common difference
d
and hence
n
t
h
term is
a
n
=
a
1
+
(
n
−
1
)
d
and hence
n
t
h
term of the sequence is
a
n
=
6
+
(
n
−
1
)
×
2
=
6
+
2
n
−
2
=
2
n
+
4
What is the equation of the line that passes through the point (6,6) and has a slope of 5/3??
Answer:
y = 5/3x - 4
Step-by-step explanation:
(6, 6)
m = 5/3
Slope-intercept:
y - y1 = m(x - x1)
y - 6 = 5/3(x - 6)
y - 6 = 5/3x - 10
y = 5/3x - 10 + 6
y = 5/3x - 4
Is (2,21) a solution for y=7x? No Yes
Answer:
No
Step-by-step explanation:
y=7x
21=7(2)
21=14
It is not since the values are not equal.
Brainliest? :o
No, the pair of coordinates (2,21) is not a solution for the equation; y=7x
Solution of an equationAccording to the question;
The pair of coordinates given is (2,21).Hence, by testing the coordinates in the equation; y=7x, we have;
21 = 7(2)21 = 14.Hence, since the equation above is not true, the pair of coordinates is not a solution of the equation.
Read more on solution of an equation;
https://brainly.com/question/1397278
hey came you help me fast!!!
Answer:
A
Step-by-step explanation:
3 + (-7) + 2/5 + (-1/5)
The cafeteria bought 200 French bread pizzas for lunch next week. If they had bought the pizza last week while it was on sale, it would only have cost $ 2.00 per pizza. Now, 7 days later, the price is $ 3.78 per pizza. How much money could they have saved if they bought the pizza last week?
Answer:
$356
Step-by-step explanation:
To solve this problem, use this: (200 * 3.78) - (200 * 2)
(200 * 3.78) - (200 * 2)
200 * 3.78 is the same as 2 * 378, which is 756.
756 - (200 * 2)
200 * 2 is the same as 4 * 100, which is 400.
756 - 400
Subtract 400 from 756 to get 356.
356
If they brought the pizza last week, the school could have saved $356.
Assignment Active Identifying the Rules of Exponents to Evaluate Which rules of exponents will be used to evaluate the expression. Check all that apply. [(7")(7")T quotient of powers product of powers power of a power power of a product negative exponent zero exponent Done Intro
Answer:
its 44
Step-by-step explanation:
because IRS 444 j utf d funk nhc ddh
Simplify: (16-5)-9 x 1 A. 5 B. 2 C. 4 D. 3
Answer:
B it right...
Step-by-step explanation:
Answer: B 2
Step-by-step explanation:
16 - 5 = 11
11 - 9.1 = 2 option B
7. Which expresses the calculation add 7 to b?
A b +7
B - 7
© 7b
D 6+7
Answer:
b =7
Step-by-step explanation:
What is the difference in length between
Answer: 7/8
Step-by-step explanation:
1 1/4 - 3/8 = 1.25 - 0.375 = 0.875 = 7/8
HELP plsss if I don’t answer this I can’t go to lunch
which of the following points is the solution of the quadratic equation : 3x² - 5x-2=0
Answer:
answer in the file
Step-by-step explanation: