MATHEMATICS HIGH SCHOOL

Guys, can you please help me find the 2 values of k so that an each trinomial can be factored over the integers for me, please? :) a). 2x²–7x+k
b). kx²–5x+3

Answers

Answer 1
Answer:

Answer:

~Senpi Boi here~

Step-by-step explanation:

For the values of a and b that can be factored are the following answers, for a it would be 2x^2-6x. And for b it would be x-5/2^2.

(Hope this helps!) ^-^

Related Questions

A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 54 marbles in it. At least how many green marbles does it have?
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Charlie solved an equation, as shown below:Step 1: 5x = 30 Step 2: x = 30 - 5 Step 3: x = 25 Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.
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A box plot was made to represent the number of matches won by 14 participants in a tennis tournament. The box plot had the box shifted to the right so that the left tail was much longer than the right tail. Based on the box plot, which conclusion is correct? (A)The mean and median of matches won are equal.
(B)The mean of matches won is more than the median of matches won.
(C)Most of the participants won many matches, but there were some participants who won very few matches compared to the others.
(D)Most of the participants won very few matches, but there were some participants who won many matches compared to the others.

Answers

Answer:

(C)- Most of the participants won many matches, but there were some participants who won very few matches compared to the others.

Step-by-step explanation:

The Box plot isshifted to the right this means it is right-skewed data thus left tail is much longer than right tail. Hence, Option (C) is correct.

Option (A) means than neither right tail is longer nor left, the box will remain in middle only. So it is incorrect.

Option (B) is incorrect because Box Plot doesn't give us idea about mean.

Option (D) is also not correct because if this happened then box will shifted to the left
The box plot had the box shifted to the right so that the left tail was much longer than the right tail. Based on the box plot, the conclusion that is correct is Most of the participants won very few matches, but there were some participants who won many matches compared to the others. The answer is letter D

Carl drew a rectangle with a width of 8 in. And a length of 32 in. Which rectangles are not similar to Carl’s rectangle? Select ALL that apply.

Answers

Answer:

1) A rectangle with width of 10 cm and length of 44 cm.

4) A rectangle with width of 9 mm and length of 45 cm.

Step-by-step explanation:

Given:

Length of the rectangle = 32 in.

Width of the rectangle = 8 in.

Now we will find the ratio of length by width.

(length)/(width)= (32)/(8) = (4)/(1) \ \ \ \ equation \ 1

Now we need to find from the given Option which rectangles are not similar to Carl's Rectangle.

So we will check for each.

1) A rectangle with width of 10 cm and length of 44 cm.

Now we will find the ratio of length by width.

(length)/(width)= (44)/(10) = (11)/(5) \ \ \ \ equation \ 2

Now we know that;

"When ratio of the dimension of corresponding rectangles are equal then the 2 rectangles are said to be similar."

Now Comparing equation 1 and equation 2 we get;

equation 1 \neq equation 2

Hence This rectangle is not similar to Carl's rectangle.

2) A rectangle with width of 2.5 inch and length of 10 inch.

Now we will find the ratio of length by width.

(length)/(width)= (10)/(2.5) = (4)/(1) \ \ \ \ equation \ 2

Now we know that;

"When ratio of the dimension of 2 corresponding rectangles are equal then the 2 rectangles are said to be similar."

Now Comparing equation 1 and equation 2 we get;

equation 1 = equation 2

Hence This rectangle is similar to Carl's rectangle.

3) A rectangle with width of 23 cm and length of 92 cm.

Now we will find the ratio of length by width.

(length)/(width)= (92)/(23) = (4)/(1) \ \ \ \ equation \ 2

Now we know that;

"When ratio of the dimension of 2 corresponding rectangles are equal then the 2 rectangles are said to be similar."

Now Comparing equation 1 and equation 2 we get;

equation 1 = equation 2

Hence This rectangle is similar to Carl's rectangle.

4) A rectangle with width of 9 mm and length of 45 cm.

Now we will find the ratio of length by width.

(length)/(width)= (45)/(9) = (5)/(1) \ \ \ \ equation \ 2

Now we know that;

"When ratio of the dimension of corresponding rectangles are equal then the 2 rectangles are said to be similar."

Now Comparing equation 1 and equation 2 we get;

equation 1 \neq equation 2

Hence This rectangle is not similar to Carl's rectangle.

If a translation of T-3,-8 (x,y) is applied to square ABCD, what is the y-coordinate of B'?-12

-8

-6

-2

Answers

Answer:

  -6

Step-by-step explanation:

The y-coordinate of B is 2. Adding -8 to it makes the y-coordinate of B' be -6.

  2 -8 = -6

Answer:

-6

Step-by-step explanation:

The given translation is

T_(-3,-8) (x,y)

Which means that the original figure will be moved 3 units to the right and 8 units downwards.

Remember, when it comes to translations, when we subtract units to x that means the figure will be moved rightwards. And if we subtract units from y, that means the figure will be moved downwards.

So, the original figure has as vertex B(1,2). If we apply the transformation to its vertical cordinate y=2, we would have

y'=2-8=-6

Therefore, the right answer is the third choice -6.

Tommy and his dad rode their bikes at a speed of 12 m.h.p. For 2 hours. They rested in a park and rode at 8 m.p.h. For 2 more hours. How many miles did they travel in total?

Answers

40 miles in total that they traveled

paul paints a room in 6 hours. joel paints the room in 3 hours. how long will it take them to paint togather?

Answers

Paul paints 1/6 of the room each hour.
Joel paints 1/3 of the room each hour.

Working together, they paint (1/6 + 1/3) of the room each hour.

In order to add the fractions, you need a common denominator.
6 will work:

(1/6 + 1/3) = (1/6 + 2/6) = 3/6 = 1/2

Together, they can paint at the rate of 1/2 room/hour .

This rate of work produces 2 hour/room.
(1)/(6)+(1)/(3)=(1)/(x)\n (1)/(6)+(2)/(6)=(1)/(x)\n (3)/(6)=(1)/(x)\n (1)/(2)=(1)/(x)\n x=2

2 hours

Write a system of equations with a solution (4,–3)

Answers

1.       So we have the system of equation. (4, -3)
let’s create another system of equation.
Let a = 4
and Let b = -3
First equation
=> Let’s pick any numbers to be used. Let’s have number 5
=> 5a + 5b
=> 5 (4) + 5 (-3)
=> 20 + (-15)
negative and positive is equals to negative
=> 20 – 15
=> 5 (this the first value of our equation, let this be the value of X)

Second
=> Pick another number, Let’s have 6
=> 6a + 6b
=> 6 (4) + 6 (-3)
=> 24 + (-18)
=> 24 – 18
=> 6 (this is the value of our second equation, let this value be Y)

Now, we have (A, B) = (4, -3) and (X, Y) = (5,6)



Answer:

A linear equation can be written in several forms. "Standard Form" is #ax+by=c# where #a#, #b# and #c# are constants (numbers).

We want to make two equations that

(i) have this form,

(ii) do not have all the same solutions (the equations are not equivalent), and

(iii) #(4, -3)# is a solution to both.

#ax+by=c#. We want #a#, #b# and #c# so that

#a(4)+b(-3)=c# (This will make (i) and (iii) true.)

Step-by-step explanation:
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