4) Given that the polynomial p(x) = 2x4 - 3x2 + 6x + k.
Find the value of k if (x - 1) is a factor of p(x).
{ANS: k = -5)
Answer:
k = - 5
Step-by-step explanation:
Given that (x - 1) is a factor of p(x) then p(1) = 0, that is
2 - 3 + 6 + k = 0
5 + k = 0 ( subtract 5 from both sides )
k = - 5
Help!! Please also explain how you got your answer
Answer:
y = -½x + 4
Step-by-step explanation:
the line passes point of y-intercept (0, 4) ,
and another point (6, 1)
the slope = (1-4)/(6-0) = (-3)/6 = -½
so the Equation is y = -½x + 4
The diagram shows a triangle ABC in which AB= 6 cm, BC=8 cm and ABC = 90°.
Calculate the length of AC.
The answer should be 12. please help with explanation and calculation!!!
Answer:
AC = 10
Step-by-step explanation:
This is a right triangle
use the pythagorean theorem
a² + b² = c²
6² + 8² = c²
36 + 64 = c²
100 = c²
Take the square root of both sides
10 = c
AC = 10
The correct answer is 10 not 12
Is it better to buy a used car or a new car? Why
Answer: This depends on how well the used car was taken care of if the used car has no problems wrong with it and is cheaper than the unused car you are looking to buy then the used car is best if you are wanting to save money, but if the used car has problems that cost more to fix then the car cost then you should go with the unused car.
What is the product of a nonzero rational number and an irrational number?
Answer: The product of a non-zero rational number and an irrational number is irrational."
Step-by-step explanation:
Pls help me with this it's urgent!
Answer:
function is the correct answer
Answer:
an = a1 + (n - 1 ) d (Function)
Step-by-step explanation:
This is the formula that will be used when we find the general (or nth) term of an arithmetic sequence. So it is function
simplify 2⁴
please help me with this question
Answer:
16
Step-by-step explanation:
2^4= 2x2x2x2 = 16
Answer:
16
Step-by-step explanation:
Raise 2 to the power of 4.
4x2x2= 16
You're rasing 2 two times so...
4x2x2= 16
Which values of a, b, and c correctly represent the answer in simplest form?
3
- 2
b
32
O a=38, b= 14, C = 1
O a=1,5=14, C= 38
O a=1,b=7.C= 19
O a= 19, b=7,C= 1
Answer:
The answer for this is a=1,b=7,c=19.
select all of the following statements that are true
Answer:
1234 no statement is there
In order to simulate conditions near roads treated with road salt, scientists raised wood frog tadpoles in a high concentration of salt, and tadpole survival was measured. The survival rates for 5 replicates were 32, 37, 41, 45, and 50 percent. The sample mean for these values is 41 percent, and the sample variance is 48.5 percent squared. Determine the standard error of the sample mean for this data set.
Answer:
[tex]SE_{\bar x} = 0.311[/tex]
Step-by-step explanation:
Given
[tex]n=5[/tex]
[tex]\bar x = 41\%[/tex]
[tex]\sigma^2= 48.5\%[/tex] --- variance
Required
The standard error of the sample mean
This is calculated as:
[tex]SE_{\bar x} = \frac{\sigma}{\sqrt n}[/tex]
This can be rewritten as:
[tex]SE_{\bar x} = \frac{\sqrt{\sigma^2}}{\sqrt n}[/tex]
So, we have:
[tex]SE_{\bar x} = \frac{\sqrt{48.5\%}}{\sqrt 5}[/tex]
Rewrite as:
[tex]SE_{\bar x} = \sqrt{\frac{48.5\%}{5}}[/tex]
[tex]SE_{\bar x} = \sqrt{0.097}[/tex]
[tex]SE_{\bar x} = 0.311[/tex]
Which set of ordered pairs could be generated by an exponential function?
(1,1), (2,1/2), (3,1/3), (4,1/4)
(1,1), (2,1/4), (3,1/9), (4,1/16)
(1,1/2), (2,1/4), (3,1/8), (4,1/16)
(1,1/2), (2,1/4), (3,1/6), (4,1/8)
Answer:
C
Step-by-step explanation:
y=x(1/2)^x
Pleaseeeeeeee help me
Answer:
The answer is "The discriminant is positive"
Step-by-step explanation:
When the discriminant is positive there is two real solutions.
When the discriminant is equal to 0, there is one real solution.
When the discriminant is negative, there is no real number solutions.
The area of a triangle is 92 and its height is 23 what is its base?
Answer:
7.36
Step-by-step explanation:
Area=92
Height=23
Base=?
Area=1/2*base*height
92=1/2*23*height
92=12.5*height
920/125=height
7.36=height
Pleae mention unit in answer
Mark me as brainliest
What is the median of the data represented in the box plot below?
Answer:
80
Step-by-step explanation:
The median is the center line in the middle of the box
The left and right lines of the box are 25% for the left side of the box and 75% for the right side of the box
Write the expression using an exponent.
1·7·7·7·7·7
Answer:
7⁵
Step-by-step explanation:
An exponent indicates how many times a number multplies itself.
Examples:
2² = 2* 2
2⁴ = 2 * 2 * 2 * 2
Choose all the equations that are true if y = 6. 52.37 – 46.37 = y 45y =445 8y = 48 3.2 + y = 9 y ÷ 4 = 24
Answer:
52.37 – 46.37 = y
8y = 48
Step-by-step explanation:
Choose all the equations that are true if y = 6. 52.37 – 46.37 = y 45y =445 8y = 48 3.2 + y = 9 y ÷ 4 = 24
We solve for y in all the equations :
52.37 – 46.37 = y
52.37 – 46.37 = 6 (True)
45y =445
Divide both sides by 45
45y/45 = 445/45
y = 9.888 (False)
8y = 48
y = 48/8
y = 6 (True)
3.2 + y = 9
y = 9 - 3.2
y = 5.8 (false)
y ÷ 4 = 24
y/4 = 24
y = 24 * 4 = 96 ( false)
Andres went out to a restaurant for dinner. His total bill before tax and tip was $27.30. He was charged an additional 9% tax and he also paid a 15% tip on the original bill.
Answer:
$25.66
Step-by-step explanation:
Given data
Total Bill before tax and tip= $27.30
Tax= 9%
Tip= 15%
Let us find the tax
=9/100*27.30
=0.09*27.30
=$2.457
Let us find the tip
=15/100*27.30
=0.15*27.30
=$4.095
Therefore his bill after tax and tip is
=27.30+2.457-4.095
=$25.66
explain fully please
Answer:
whats the question..........
(x^(2)+4x-12)/(x^(2)-25)-:(x+6)/(x^(2)-5x)
Step-by-step explanation:
PS:Thas some questoin
Somebody plz help the quickest you can this is urgent
Answer:
Well, I can answer the 1st question. There are 2 angles and 3 sides on the triangle.
Step-by-step explanation:
Could someone help me solve a right triangle (all sides and angles)
angle c = 90
angle b= 62
Adjacent side is 25
Answer:
Step-by-step explanation:
If you've any doubts feel free to ask :)
the volume of this triangular prism is ….. cubic inches. please someone help, will give brainliest asap ❤️❤️❤️❤️❤️
Answer:
576'' squared
Step-by-step explanation:
(6n-25) + (3n + 20) = 180
Answer:
n = 185/9
Step-by-step explanation:
(6n-25) + (3n + 20) = 180
Combine like terms
9n -5 = 180
Add 5 to each side
9n - 5 +5 = 180+5
9n = 185
Divide each side by 9
9n/9 = 185/9
n = 185/9
Solve 2x-5/x-2 ≤ 1
please answer fast
Answer:
x<=-3
Step-by-step explanation:
2x-5/x-2 <= 1
Multiply both sides by x-2
2x-5<=x-2 (anything times 1 is that number.)
add 5 to both sides
2x<=x-3
subtract x from both sides
x<=-3
Answer:
Step-by-step explanation:
[tex]\frac{2x-5}{x-2} \leq 1\\case ~1. both ~numerator~and~denominator \geq 0\\x\neq 2\\2x-5\leq x-2\\x\leq 3\\so~0\leq x<2U2<x\leq 3\\case~2.\\both~numerator~and~denominator<0\\2x-5\geq x-2\\x>3\\which~is~rejected~as~it~gives~both~2x-5~and ~x-2>0[/tex]
helpppppppppppppppppppppppppppppppppp!!!!!!!!!
Which side lengths form a right triangle?
Answer:
answer is option B
9² +40² =41²
81+1600=1681
Answer:
B) 9 , 40, 41
............
ally and bo share 60$ how much money does bo get
Answer:
If Ally and Bo share evenly, Bo will get 30$, so will Ally. The half of 60 is 30.
6 years ago, Kelly was younger than Kendall by 6 years. The total age of Kelly and Kendall now is 52 years. What was Kendall's age 6 years ago?
Answer:
Kendall's age 6 years ago was 23 years.
Step-by-step explanation:
A system of equations is a set of equations with the same unknowns. A system of linear equations is a system of equations in which each equation is linear. That is, a system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
In this case you propose a system, being the variables to solve:
x: Kelly's age 6 years agoy: Kendall's age 6 years ago6 years ago, Kelly was younger than Kendall by 6 years. The total age of Kelly and Kendall now is 52 years. So, the system of equations is:
[tex]\left \{ {{x=y-6} \atop {(x+6)+(y+6)=52}} \right.[/tex]
It is solved by the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the following one. The first equation is replaced in the second equation of the system:
(y-6+6)+(y+6)=52
y +(y+6)= 52
y +y+6= 52
2*y + 6=52
2*y= 46
y= 46 ÷ 2
y=23
So, Kendall's age 6 years ago was 23 years.
A box of chocolate is divided among Jim, Jack and David. David gets 2/5 of the box and Jack gets 1/5 of David's share and the rest which was given to Jim was 260 grams. What is David's share in Grams?
Answer:
200
Step-by-step explanation:
Jack share = 2/5 x 1/5 = 2/25
amount left over = 1 - (2/25 + 2/5) = 13/25
13/25 x t = 260
t = total amount of chocolate
t = (260 x 25) / 13 = 500
Davids share = 2/5 x 500 = 200
I don’t know where to start
Answer:
Either 90 degrees clockwise or 90 degrees counterclockwise
Step-by-step explanation:
Answer:
First the image would need to be reflexed over y = 2
Then the x values would need to be increased by 6
(x+6, y)
Step-by-step explanation: