Is this the right answer?

3x-(2x-1)=7x-(3*5x)+(-x+24)

Paraphin [41]

Answer:

$\boxed{\boxed{\sf x=\frac{23}{10}}\: \sf or \:\boxed{x=2.3}}$

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$\boxed{\sf Step\: By\:Step:- }$

$\sf 3x-\left(2x-1\right)=7x-\left(3\times \:5x\right)+\left(-x+24\right)$

Remove the parentheses:

$\to\sf 3x-\left(2x-1\right)=7x-3\times \:5x-x+24$

Combine like terms:

$\sf ^*7x-x=6x$

$\to\sf 3x-\left(2x-1\right)=6x-3\times \:5x+24$

Multiply 3 and 5x = 15x:-

$\to\sf 3x-\left(2x-1\right)=6x-15x+24$

Combine like terms:

$\sf ^*6x-15x=-9x$

$\to\sf 3x-\left(2x-1\right)=-9x+24$

Expand: 3x-(2x-1)= x+1

$\to\sf x+1=-9x+24$

Subtract 1 from both sides:

$\to\sf x+1-1=-9x+24-1$

$\to\sf x=-9x+23$

Add 9x to both sides:

$\to\sf x+9x=-9x+23+9x$

$\to\sf 10x=23$

Divide both sides by 10:

$\to\sf \cfrac{10x}{10}=\cfrac{23}{10}$

$\to\sf x=\cfrac{23}{10}$

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3 0

3 years ago

Given f (x) = x2 + 4x + 5, what is f of the quantity 2 plus h end quantity minus f of 2 all over h equal to?

meriva

By evaluating the quadratic function, we will see that the differential quotient is:

$\frac{f(2 + h) - f(2)}{h} = 8 + h$

Here we have the quadratic function:

$f(x) = x^2 + 4x + 5$

Evaluating the quadratic equation we get:

$\frac{f(2 + h) - f(2)}{h}$

So we need to replace the x-variable by "2 + h" and "2" respectively.

Replacing the function in the differential quotient:

$\frac{(2 + h)^2 + 4*(2 + h) + 5 - (2)^2 - 4*2 - 5}{h} \\\\\frac{4 + 2*2h + h^2 + 8 + 4h - 4 - 8 }{h} \\\\\frac{ 2*2h + h^2 + 4h }{h} = \frac{8h + h^2}{h}$

If we simplify that last fraction, we get:

$\frac{8h + h^2}{h} = 8 + h$

The third option is the correct one, the differential quotient is equal to 8 + 4.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

#SPJ1

8 0

2 years ago

a line that includes the point (3,4) has a slope of 2. what is the equation in the slope-intercept form?

Andreas93 [3]

Answer:

y=2x-2

Step-by-step explanation:

the slope is y/x

the slope is 2 or 2/1

subtract 2 from the y value and 1 from the x value

(3-1,4-2) = (2,2)

keep doing this until you get a 0 in the x value

(2-1,2-2) = (1,0)

1 is your x-intercept

(1-1,0-2) = (0,-2)

-2 is your y intercept.

So now you know your y-intercept and your slope so you can now write your equation.

y=mx+b

m=slope, b=y-intercept

m=2, b=-2

substitute into the equation

y=2x-2

8 0

3 years ago

Evaluate n+2x2 when n=3 and x=−2.

krok68 [10]

Answer:

When n=3 and x=−2 the answer is 11.

Step-by-step explanation:

Given:

Let p (n,x) be the function such that

$p (n,x) = n + 2x^{2}$

To Find:

p (n,x) = p ( 3, -2) = ?

Solution:

$p (n,x) = n + 2x^{2}$

Substituting n = 3 and x = -2 we get

$p (3, -2) = 3 + 2(-2)^{2}$

Negative square gives positive number therefore (-2)²=4

$p (3, -2) = 3 + 2\times 4$

$p (3, -2) = 3 + 8\\p (3, -2) = 11$

When n=3 and x=−2 the answer is 11.

7 0

3 years ago

Please help with this

Blizzard [7]

The probability is 4:20

It is correct because there are 20 students and there could be 4 guesses

5 0

3 years ago