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3 years ago

Sqrtx^2+6x+9 if x≥3 please help quick idk how to do this at all

Mathematics

1 answer:

katrin [286]3 years ago

7 0

Answer:

x+3

Step-by-step explanation:

sqrt(x^2+6x+9)

factor

We know this is a perfect square trinomial

sqrt(( x+3)^2)

Taking the square root of a square

x+3

You might be interested in

Write the intersection and union of N and W.

Serjik [45]

Answer:

N n W = {1,2,3,4}

N u W = {0,1,2,3,4,}

Step-by-step explanation:

N n W = {1,2,3,4}

N u W = {0,1,2,3,4,}

n - intersection means the common elements between N and W

U - represents all elements within N and W

5 0

3 years ago

Shortly after creating a car washing business, you made $65 washing ten

nevsk [136]

Answer:

A) For the slope;

Rate of change in profit per change in number of cars washed = 10

B) when he had not washed any car, he was in debt of of $35

C) When he made $255, he had washed 29 cars

Step-by-step explanation:

Slope intercept equation of a line is;

y = mx + c

you made $65 washing ten

cars. Thus, x = 10 and y = 65

So, 65 = 10m + c - - - - (eq 1)

Then after fifteen cars, you made $115.

Thus, x = 15 and y = 115

So; 115 = 15m + c - - - - (eq 2)

Subtract equation 1 from eq(2) to get;

115 - 65 = 15m - 10m + c - c

50 = 5m

m = 50/5

m = 10

Putting 10 for m in eq 1 gives;

65 = 10(10) + c

65 = 100 + c

c = 65 - 100

c = -35

A) Since the slope is m = 10 and slope is m = Δy/Δx, it means that;

Rate of change in profit per change in number of cars washed = 10

B) c = -35 is the y-intercept.

This means when x = 0, y = - 35.

It implies that when he had not washed any car, he was in debt of of $35

C) since we have the slope and intercept, equation is;

y = 10x - 35

If he has made $255,then we have;

255 = 10x - 35

255 + 35 = 10x

290 = 10x

x = 290/10

x = 29 cars washed.

7 0

3 years ago

Really need help with 11 and 12 just started learning this today and I don't quite understand it would really appreciate it

sineoko [7]

11.

Given:

$y=x^2$

Differentiate with respect to x, we get

$\frac{dy}{dx}=2x$

The given point is (3,9)

Substitute x=3 in the derivative, we get

$\frac{dy}{dx}=2\times\times3=6$

Hence the slope is 3.

12.

Given:

$y=x^2+4$

Differentiate with respect to x, we get

$\frac{dy}{dx}=2x+0$

The given point is (0,4)

Substitute x=0 in the derivative, we get

$\frac{dy}{dx}=2(0)+0=0$

Hence the slope is 0.

4 0

1 year ago

Mo has some red and green sweets He eats 1/3 of the sweets ¾ of the sweets left over are green Mo buys himself 30 more green swe

maks197457 [2]

Answer:

176 sweets

Step-by-step explanation:

162 - 30 = 132 this finds the 3/4 before he purchased more sweets.

132 divided by 3 = 44 This finds how many thirds their are. (We do 3 not 4 because 1/4 is already gone and there are only 3rds lefts.)

44 x 4 = 176 This finds the total before he purchased more.

Hope this helps!

4 0

4 years ago

Help please!! What is the answer?

Doss [256]

The area formula for a parallelogram is the same as it is for a square or a rectangle. It's A = b*h. They give you the area and the height, and x is part of the radicand for the base. Set it up like this: $42= \sqrt{x+6} *7$ . Divide both sides by 7 to get $6= \sqrt{x+6}$ . Now, the opposite of a square root is squaring, so let's undo that square root by squaring. But because this is an equation, if you square the right you also have to square the left. $(6) ^{2}=( \sqrt{x+6}) ^{2}$ . Squaring that square root undoes the square root, so now what we have is 36 = 6 + x, and 30 = x. There you go!

6 0

3 years ago