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3 years ago

I need help on #10. very confused

Mathematics

1 answer:

RideAnS [48]3 years ago

3 0

Step-by-step explanation:

$\displaystyle f'(x) = \lim_{h \to 0} \dfrac{f(x + h) - f(x)}{h}$

$\:\:\:\:\:\displaystyle = \lim_{h \to 0} \dfrac{(x+h)^2 -7 -(x^2 - 7)}{h}$

$\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{(x^2 +2hx + h^2 -7) - (x^2 -7)}{h}$

$\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{2hx + h^2}{h}$

$\:\:\:\:\: \displaystyle= \lim_{h \to 0} (2x +h)$

$\:\:\:\:\: \displaystyle= 2x$

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Which is the graph of the line LaTeX: y-2=3\left(x-1\right)y − 2 = 3 ( x − 1 )?

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

The equation given takes the point-slope form which is, $y - b = m(x - a)$ . Where,

(a, b) = (x, y) coordinates of a point on the line.

m = slope of the line .

To find which graph has a line equation of $y - 2 = 3(x - 1)$ , look for the points which will give you something almost exactly as the equation if you substitute their values into $y - b = m(x - a)$ .

Let's consider option D.

We have a given point (1, 2). a = 1, b = 2.

Substitute these into $y - b = m(x - a)$

We have:

$y - (2) = m(x - (1))$

$y - 2 = m(x - 1)$

As you can see, this looks almost exactly as

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

If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into $y - 2 = m(x - 1)$ to find m:

In graph D, let's take the points (0, -1)

$-1 - 2 = m(0 - 1)$

$-3 = m(-1)$

$-3 = -m$

Divide both sides by -1

3 = m

m = 3.

Therefore, option D is the graph of the line $y - 2 = 3(x - 1)$ .

3 0

3 years ago

How do you graph: y≤−4x+40 and y≤10

Arturiano [62]

Answer:

See attached picture.

Step-by-step explanation:

To graph linear inequalities, use the y=mx + b form to graph using the slope and y-intercept.

y ≤ -4x + 40 has slope -4 and y-intercept (0,40).

Start at (0,40) and mark it. Then move down 4 units and to the right 1. Mark this point at (1,36). Connect the points with a solid line since the inequality has equal to. Substitute a point like (0,0) to test where the solution set is.

0 ≤ -4(0) + 40

0 ≤ 0 + 40

0 ≤ 40

This is true so shade to the left of the line.

To graph y ≤ 10 mark a point on the y-axis at (0,10). Draw a horizontal solid line through the point. Then shade below the line.

7 0

3 years ago

(5a +7b)b/(b+2b)=? 4a ,4ab , 2a+4b , 5a+7b/3 , 5a+5b

musickatia [10]

The correct answer is: [D]: " $\frac{5a + 7b}{3}$ " .
__________________________________________________
Explanation:
__________________________________________________
$\frac{b(5a + 7b)}{b +2b}$ ;

Simplify the "denominator" ; → (b + 2b = 1b + 2b = 3b) ;

and rewrite:

$\frac{b(5a + 7b)}{3b}$ ;

Cancel out the "b" in the "numerator" to a "1" ;
and cancel the "3b" in the "denominator to a "3" ;

{since: "b ÷ b = 1 "; and since: "3b ÷ b = 3" } ;

and rewrite as:
____________________________________________________
$\frac{5a + 7b}{3}$ ;
____________________________________________________

→ which is: Answer choice: [D]: " $\frac{5a + 7b}{3}$ " .
____________________________________________________

6 0

3 years ago

Read 2 more answers

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pickupchik [31]

Answer:

What?

Step-by-step explanation:

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2 years ago

Find the value of each variable, please explain.

Airida [17]

Answer:

x=67

y=113

z=50

Step-by-step explanation:

x=180-28-85=67

y=180-67=113

z=17+113=50

4 0

3 years ago