Answer:
-2 + 6 = 4
Step-by-step explanation:
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
A bag of white sugar and a bag of brown sugar each contain 11 1/3 cups of sugar. How Many muffins can Maria top if she has 1 bag of each type of sugar?Explain your reasoning。This is super urgent tahnks
Answer:
187
Step-by-step explanation:
Fraction to make topping:
1/4 cups of white ; 2/3 cups of brown
Combined = 1/4 + 2/3 = (3 + 8) /12 = 11/12 cups
Fraction of combined used to top muffin = 1/12
Number of muffins that can be topped per combination made :
11/12 ÷ 1/12 ; 11 /12 * 12 / 1 = 11 muffins
Recall :
Each sugar has 11 1/3 cups
For brown sugar :
34 /3 ÷ 2/3 cups
34 /3 * 3 /2 = 17
For white sugar :
34 /3 * 4 /1 = 45.33
However, the highest amount of combined muffin topping for white sugar will be restricted by the number of brown :
Hence,
11 muffins can be topped from each combined mixture ;
Total muffin that can be topped :
17 * 11 = 187 muffins
How do I solve 3x+7+x?
Answer:
The answer is 4x+7
Step-by-step explanation:
3x+7+x
= 3x+x+7
= 4x+7
(I used symbolab)
One half of the number n increased by 10 is the
same as four less than twice the number.
Which of the following equations represents the
statement above?
Answer:
Step-by-step explanation:
[tex]\frac{n}{2} +10=2n-4[/tex]
The equation represent the given situation is n/2 -10 =2n-4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Given that, One half of the number n increased by 10.
That is n/2 -10
Four less than twice the number.
Here, 2n-4
Now, n/2 -10 =2n-4
n/2 -2n = -4+10
(n-4n)/2 = 6
-3n=12
n=-4
Therefore, the equation represent the given situation is n/2 -10 =2n-4.
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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.
Solve. -3 + 9x = 24 pls help 15 pts!!! ASAP
Answer:
hope it is helpful to you
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 :)
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
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)
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
Jaideep changes $12 000 into euros (€) to buy land in another country.
The exchange rate is €1 = $1.33.
Calculate the number of euros Jaideep receives.
A farmer sold food grains for 9200 rupees through an agent. The rate of commission
was 2%. How much amount did the agent get?
The price of a machine depreciates at 10% every year. If the present value of the
machine be Rs.100000, what will be its value after 3 years?
Lucinda invests $500 at a rate of 5% per year simple interest.
Calculate the simple interest Lucinda has after 3 years.
PLEASE GIVE ANSWERS TO THESE QUESTIONS REALLY QUICK
exercise 1
1) 12 000 : 1,33 = 9022,55 €
exercise 2
1) 9200 : x = 100% : 2%
(9200*2) : 100 = 184 rupees
(sorry dont know the other two ones)
Solution
We know the angles here are vertical angles and we know that vertical angles are always congruent
Answer:
4 + 6x = 70
6x = 66
x = 11
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
A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Jayden measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot. 11 ft 20 ft-8 ft
Answer:
48 ft
Step-by-step explanation:
Here, we want to find the length of the wire
from the diagram, we can identify two similar triangles
The smaller one and a bigger one
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
We can start by getting the height of the tower
we have this as:
8/11 = 28/x
8 * x = 28 * 11
8x = 308
x = 308/8
x = 38.5 ft
So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height
So we can use the Pythagoras’ theorem to get the hypotenuse
Let us call this g
mathematically according to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
thus, we have it that;
g^2 = 38.5^2 + 28^2
g^2 = 2,266.25
g = √2,266.25
g = 47.61 which is approximately 48 ft
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
The directrix of the parabola -40x= y2 is:
y=-10
x= 10
x=-10
y= 10
Answer:
y=10
Step-by-step explanation:
Answer:
[tex]{ \tt{y {}^{2} = 4 {ax} }} \\ = - 10[/tex]
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
If line segment are you is considered the base of a parallelogram are STU what is the corresponding height of the parallelogram
Answer: Hello your question lacks some data hence i will provide a general solution within the scope of your question.
answer:
Height = Area of parallelogram / base of parallelogram
Step-by-step explanation:
The corresponding height of the parallelogram can be calculated using the general equation below :
Height = Area of parallelogram / base of parallelogram
Kindly input the values you have into the relation to get the corresponding height of the parallelogram.
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.
-64+k^2=0 solve this using quadratic formula
Answer:
x= +8 or -8
Step-by-step explanation:
x= -b±[tex]\sqrt{b^2-4ac}[/tex] /2a
x=−0±[tex]\sqrt{0^2 negative4(1)( negative 64)}[/tex] /√2(1)
x=−0±0[tex]\sqrt{256}[/tex]/√2
x=−0±256−−−√2
x=−0±162
x=16/2 x=−16/2
x=8
x=−8
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
select all of the following statements that are true
Answer:
1234 no statement is there
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:
(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:
What is the value of the expression. -(2 1/2 - 7) - 6 1/2?
Answer:-2
Step-by-step explanation:
Which side lengths form a right triangle?
Answer:
answer is option B
9² +40² =41²
81+1600=1681
Answer:
B) 9 , 40, 41
............
A rectangular prism tank has a base with a length of 40 inches, a width of 35 inches and a height of 12 inches. What is the volume of water in the tank if the tank is filled with water to 75% capacity ?
Answer:
12600 in³
Step-by-step explanation:
Applying,
V = lwh................. Equation 1
Where V = volume of the prism, l = length of the base, w = width of the base, h = height of the prism.
From the question,
Given: l = 40 inches, w = 35 inches, h = 12 inches
Substitute these values into equation 2
V = 40(35)(12)
V = 16800 in³
If the volume of water is 75% the capacity of tank.
Therefore,
Volume of water = 0.75(V)
Volume of water = 0.75(16800)
Volume of water = 12600 in³
if def geh solve for x
Answer:
huh???
Step-by-step explanation:
On a map, 1/4 inch represents 400 miles. How long would a line on a map need in order to represent 3200 miles?
Answer:
2 inches
Step-by-step explanation:
1/4 = 400
3200/400 = 8
8 x 1/4 = 2
A line on a map need in order to represent 3200 miles would be 2 inches long.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
On a map, 1/4 inch represents 400 miles.
1/4 = 400
3200/400 = 8
8 x 1/4 = 2
A line on a map need in order to represent 3200 miles would be 2 inches long.
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