Find the values of k that make $2x^(2)+kx+7$ factorable.

Answers

Answer 1

Answer: $1)\n(2x+1)(x+7)=2x^2+14x+x+7=2x^2+15x+7\ \ \Rightarrow\ \ k=15\n\n2)\n(2x-1)(x-7)=2x^2-14x-x+7=2x^2-15x+7\ \ \Rightarrow\ \ k=-15\n\n3)\n(2x+7)(x+1)=2x^2+2x+7x+7=2x^2+9x+7\ \ \Rightarrow\ \ k=9\n\n4)\n(2x-7)(x-1)=2x^2-2x-7x+7=2x^2-9x+7\ \ \Rightarrow\ \ k=-9\n\n\nAns.\ there\ are\ four\ solutions:\ k\in \{15;-15;9;-9\}$

Answer 2

Answer: the values of k that make > 2x² + kx + 7 factorable
the values of k are 9 & 15
thus
(2x² + 9x + 7) = (2x + 7)(x+ 1) k -9
(2x² + 15x + 7) = (2x +1)(x+7) K =15

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What is two more than 4 times the sum of t and 7 is equal to the current temperature written as an expression?

Answers

will it would be 2+4*7t

A TV goes on sale with a discount of 28%. The original price of the TV is $942. What is the sales price of the TV?

Answers

Answer:

28% discount of the TV = $678.24

Step-by-step explanation:

28% discount of the TV = actual price - 28% of the actual price.

Since we know the actual price to be $942

Actual price = $942

28% of the actual price = 28% * actual price.

= 28/100 x 942

= 26376/100

= 263.76.

28% discount of the TV = actual price - 28% of the actual price.

28% discount of the TV = $942 - $263.76

28% discount of the TV = $678.24

A percentage is equivalent to a fraction, a percentage is out of 100 therefore the fraction for this can be 28/100, as a decimal this would be .28. Therefore to solve this problem you would set up the problem as, 942 x .28= 263.76, you then take that number and subtract it from the original price of the tv, and you get the final price, of $678.24.

The area of a triangular garden can be no more than 120 square feet. The base of the triangle is 16 feet. What is the height of the triangle?show your work

Answers

The height of the triangle can not be more than 15 feet.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

Given the triangle,

Base = 16 feet.

Area = 120 feet²

Since the area of a triangle is given as (1/2) × base × height.

So,

Area = (1/2) × base × height.

120 = (1/2) × 16× height

Height = 120/8 = 15 feet

Hence "The height of the triangle can not be more than 15 feet".

For more about triangles,

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The height is 15 feet.

0.5xbxh<_120 (equate formula for area of triangle to 120)

0.5x16xh<_120

16xh<_240 (120 divided by 0.5)

h<_15 (240 divided by 16)

A square has a perimeter of 26 yards. What is the length of each side?

Answers

The length of each side is 6.5 yards.
A square has four sides.
26 ÷ 4 = 6.5 yards.
6.5 × 4 = 26 yards.

Find the function rule.x = -2 -1 0 1 2
y= 9 4 -1 -6 -11

Please help!! 10 pts.

Answers

Finally figured it out :D

The function rules is:
y = -5x - 1

9 = -5(-2) - 1
4 = -5(-1) - 1
-1 = -5(0) - 1
-6 = -5(1) - 1
-11 = -5(2) - 1

Mia has a piece of ribbon that is 30.5 yards long. The length is just enough ribbon to make 5 bows that are the same size. How long is the ribbon that she uses for each bow?