All categories

3 years ago

Subtract. (5x2−3x−2)−(−2x2−x+10) Express the answer in standard form. Enter your answer in the box.

Mathematics

2 answers:

Nimfa-mama [501]3 years ago

5 0

Answer:

$7x^{2}-2x-12=0$

Step-by-step explanation:

we know that

The standard form of the quadratic equation is equal to $ax^{2} +bx+c=0$

we have

$(5x^{2}-3x-2)-(-2x^{2}-x+10)$

eliminate the parenthesis

$5x^{2}-3x-2+2x^{2}+x-10$

group terms that contain the same variable

$(5x^{2}+2x^{2})+(-3x+x)+(-2-10)$

combine like terms

$7x^{2}-2x-12=0$

inna [77]3 years ago

4 0

Answer:

7x²-2x-12

Step-by-step explanation:

We have given an expression.

(5x²-3x-2)-(-2x²-x+10)

We have to subtract them.

ax²+bx+c is general form of an expression.

We have to transform above equation in general form of expression.

Open parentheses and distribute negative sign to second parentheses.

5x²-3x-2-(-2x²)-(-x)-(10)

5x²-3x-2+2x²+x-10

Collect the like terms

5x²+2x²-3x+x-2-10

Add like terms

7x²-2x-12 which is the answer.

You might be interested in

30 Solve by elimination: 2x - 3y = -6 -2x - 2y = 26 ,

Arturiano [62]

Answer:

x=-9,y=-4

Step-by-step explanation:

2x-3y=-6...(1)

-2x-2y=26...(2)

To solve we will have to eliminate one of the given variables, the variable to be eliminated is x

And it can be done by adding up (1) and (2)

It gives

-5y=20

Divide both sides by-5

y=-4

Then substitute the value of y into (1)

2x-3(-4)=-6

2x+12=-6

Substrate 12 from both sides

2x=-18

Divide both sides by 2

x=-9

Therefore x gives -9 and y gives-4

5 0

3 years ago

Find the value of y. 5 8 4 2 50 Pts!

Vinvika [58]

Answer and Explanation:

Since this is a 30-60-90 triangle, you can use the ratio of side lengths specific to this type of triangle:

x = 4√(2)

y = 2(4) = 8

because where 4 = T,

x = T√2 and y = 2T

so again:

$x = 4\sqrt{2}\\y = 8$

8 0

2 years ago

Read 2 more answers

2 3/5 ×5/6 = what does it equel

wolverine [178]

Your answer is 2 and 1/6

6 0

2 years ago

Ms.kendrick plans to buy a laptop for $1,345 in 12 weeks. she has already saved $145. how much should she save each week so she

denpristay [2]

12x + 145 = 1345
12x = 1200
x = 100

answer: She should save $100 each week so she can buy the laptop for $1,345

6 0

3 years ago

Read 2 more answers

Solve on the interval [0/2pi] 1-cos(theta) = (1/2)

Airida [17]

Answer:

Final answer is $x=\frac{\pi}{3}$ and $x=\frac{5\pi}{3}$ .

Step-by-step explanation:

Given equation is $1-\cos\left(\theta\right)=\frac{1}{2}$

Now we need to find the solution of $1-\cos\left(\theta\right)=\frac{1}{2}$ in given interval $[0, 2\pi ]$ .

$1-\cos\left(\theta\right)=\frac{1}{2}$

$-\cos\left(\theta\right)=\frac{1}{2}-1$

$-\cos\left(\theta\right)=-\frac{1}{2}$

$\cos\left(\theta\right)=\frac{1}{2}$

which gives $x=\frac{\pi}{3}$ and $x=\frac{5\pi}{3}$ in the given interval.

Hence final answer is $x=\frac{\pi}{3}$ and $x=\frac{5\pi}{3}$ .

6 0

2 years ago