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2 years ago

Solve the equation. Check your solutions when necessary.2x² − 7x = 4

Mathematics

1 answer:

prisoha [69]2 years ago

5 0

Answer:

x= -1/2 = -0.500

x=4

Step-by-step explanation:

2x^2-7x-4=0

2x^2-8x+1x-4=0

2x(x-4)+1(x-4)=0

(2x+1)(x-4)=0

2x+1=0...2x= -1.. x= -1/2 x-4=0 .. x=4

checking the solution

2(-1/2)^2-7(-1/2)=4..... 4=4

2(4)^2-7(4)=4....... 4=4

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3 years ago

2. Darnell bought(7.7 kilograms of blueberries at

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2 years ago

HELP ME PLS I WILL GIVE YOU THE BRAINEST

Fiesta28 [93]

Answer:

The first term should be positive

She did not distribute the -4 properly

She added $\frac{2}{7}$ to negative -4 instead of multiplying

Step-by-step explanation:

In order to tell where she is wrong we should solve the question our selves. we are going to get the following......

$-4(-3x + \frac{2}{7})= -4(-3x) + (-4)(\frac{2}{7} )= 12x - \frac{8}{7}$

So now we see that the three things she did wrong are.

The first term should be positive

She did not distribute the -4 properly

She added $\frac{2}{7}$ to negative -4 instead of multiplying

Hope this helps :)

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3 years ago

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The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?

BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
$A_{n}=A_{1}+(n-1)d$

$A_{n}$ is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so $A_{1}=47$
d=-2 because the question gives you that

$A_{n}=A_{1}+(n-1)d$
 $A_{29}=47+(29-1)(-2)$
 $A_{29}=47+(28)(-2)$
 $A_{29}=47+-56$
 $A_{29}=-9$

The answer is A. -9.

 

The answer is C. 158

For the second one, it gives you $A_{1}=4$ and $A_{}=18$
You can use this to find d

 $A_{n}=A_{1}+(n-1)d$
 $A_{3}=4+(3-1)d$
 $18=4+(3-1)d$
 $18=4+2d$
 $14=2d$
 $7=d$

Now you can just solve using the equation normally.
 $A_{n}=A_{1}+(n-1)d$
 $A_{23}=4+(23-1)(7)$
 $A_{23}=4+(22)(7)$
 $A_{23}=4+154$
 $A_{23}=158$

The answer is C. 158

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3 years ago

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