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Gekata [30.6K]
3 years ago
14

Which equation is true for x = –6 and x = 2?

Mathematics
2 answers:
gogolik [260]3 years ago
11 0

Answer: B) 2x^2 + 8x-24 = 0


Step-by-step explanation: We are given solutions x = -6 and x = 2.

Therefore, factors of the equation would be

x+6 and x-2.

So, the equation would be in form:

(x+6)(x-2)=0

By foil, we get

x^2 -2x +6x -12=0

Combining like terms, we get

x^2+4x-12=0

Let us check 2nd option now.

2x^2 + 8x-24 = 0

Factoring out 2, we get

2(x^2+4x-12)=0.

<h3>Therefore, correct option is 2nd option.</h3>

2x^2 + 8x-24 = 0



ollegr [7]3 years ago
4 0
The second option is your answer 2x2+8x-24
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Marion bought 14 packages of plastic frog and lizard fishing lures. She bought frog lures in packages of 4 and lizard lures in p
tatuchka [14]

Answer:

Marion bought 6  frog lures and 8 lizard fishing lures.

Step-by-step explanation:

Let f represent frog lures and l represent lizard lures.


The total packages Marion bought is

f+l=14...eqn1


If she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures, then

4f+6l=72...eqn2


We make f the subject in equation 1 and put it into equation 2 to get;

f=14-l...eqn3


We put equation 3 into equation 2 to get;

4(14-l)+6l=72


\Righttarrow 2(14-l)+3l=36


We expand the bracket to get;

28-2l+3l=36


-2l+3l=36-28


l=8


We put l=8 into equation 3 to get;

f=14-8


f=6

Therefore Marion bought 6  frog lures and 8 lizard fishing lures.


6 0
2 years ago
Proving triangles similar
goldfiish [28.3K]

Answer:

x=11

Step-by-step explanation:

You do 38/3x+3 and 19/x+7 and then cross mulitply and get 57x+57=38x+266. Then yoy subtract 57 from 266 and get 57x=38x+209. Now you have to subtract 38 from 57 and then answer will be 19. So now you have 19x=209. Finally you divide 209 by 19 and get x=11. Good luck!

6 0
3 years ago
Given the following table, find the equation that matches it.​
bagirrra123 [75]

Answer:

The equation that matches the table is y = -5x + 7 ⇒ C

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept (value y at x = 0)

The rule of the slope is m =  \frac{y2-y1}{x2-x1} , where

  • (x1, y1) and (x2, y2) are two points on the line

From the given table

→ Choose any two points from the table

∵ Points (0, 7) and (1, 2) are in the table

∴ x1 = 0 and y1 = 7

∴ x2 = 1 and y2 = 2

→ Substitute them in the rule of the slope above

∵ m = \frac{2-7}{1-0}=\frac{-5}{1}

∴ m = -5

→ Substitute it in the form of the equation above

∵ y = -5x + b

∵ b is the value of y at x = 0

∵ At x = 0, y = 7

∴ b = 7

∴ y = -5x + 7

∴ The equation that matches the table is y = -5x + 7

7 0
2 years ago
The first step in calculating the mean is to ____the numbers<br> add<br> group
Blababa [14]
The first step in calculating the mean is to add the numbers. After that you divide by the number of items in the data set. You don’t need to group the numbers to find the mean. Hope this helped!
4 0
3 years ago
Read 2 more answers
Write the product as the product of a whole number and a unit fraction 4 x 2/6
Zina [86]
When you multiply a whole number by a fraction, you multiply the whole number by the numerator (top) of the fraction and you end up with an improper fraction. This question simply wants you to multiply the whole number by the numerator, then multiply that whole number by the remaining fraction.

= 4 * 2/6
multiply 4 by the numerator
=(4*2)/6
multiply 4*2 then separate from the remaining 1/6 fraction
=8 * 1/6

ANSWER: 8 * 1/6

Hope this helps! :)
7 0
2 years ago
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