Given the equation: y=(x-1)(x+3). what are the x-intercepts? *

Answer:

is -5.

Step-by-step explanation:

add 2 to -7

Answer:

-5

Step-by-step explanation:

A negative minus a negative will also result in a negative. Subtracting regularly and adding a negative symbol will give you your'e answer.

Answer:

y=-5x

Step-by-step explanation:

this is because slope intercept form is y=mx+b

if m= -5 and b=0 the answer would be

y=-5x+0

simplified it would be

y=-5x

Answer:

y = 1874.25

Step-by-step explanation:

2(4y - 5) = 14 983

2*4y + 2*-5 = 14983

8y - 10 = 14983

8y = 14983 + 10

8y = 14993

y = 14993/8

y = 1874.25

Answer:

Step-by-step explanation:

2(4y - 5) = 14

8y - 10 = 14

8y = 24

y = 3

Answer:

[tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].

Step-by-step explanation:

We need to find all the points on the curve x=4cos(t),y=4sin(t) that have the slope of 1/2.

[tex]x=4cos (t)[/tex]

[tex]\dfrac{dx}{dt}=-4sin (t)[/tex]

[tex]y=4sin (t)[/tex]

[tex]\dfrac{dy}{dt}=4cos (t)[/tex]

Now,

[tex]\dfrac{dy}{dx}=\dfrac{dy}{dt}\times \dfrac{dt}{dx}[/tex]

[tex]\dfrac{dy}{dx}=4cos (t)\times \dfrac{1}{-4sin (t)}[/tex]

[tex]\dfrac{dy}{dx}=-\cot t[/tex]

So, slope of the curve is [tex]-\cot t[/tex].

[tex]-\cot t=\dfrac{1}{2}[/tex]

[tex]-\tan t=2[/tex]

[tex]\tan t=-2[/tex]            ...(1)

Using [tex]\sec^2t=1+\tan^2t[/tex], we get

[tex]\sec^2t=1+(-2)^2[/tex]

[tex]\sec^2t=1+4[/tex]

[tex]\sec t=\pm \sqrt{5}[/tex]

[tex]\cos t=\pm \dfrac{1}{\sqrt{5}}[/tex]

Now,

[tex]\sin^2t=1-cos^2t[/tex]

[tex]\sin t=\pm \sqrt{1-\dfrac{1}{5}}[/tex]

[tex]\sin t=\pm \sqrt{\dfrac{4}{5}}[/tex]

[tex]\sin t=\pm \dfrac{2}{\sqrt{5}}[/tex]

It equation (1), tan(t) is negative. So, sin and cos have different signs.

If [tex]\sin t= \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t=- \dfrac{1}{\sqrt{5}}[/tex].

[tex]x=4cos (t)=-\dfrac{4}{\sqrt{5}}[/tex]

[tex]y=4sin (t)=\dfrac{8}{\sqrt{5}}[/tex]

If [tex]\sin t=- \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t= \dfrac{1}{\sqrt{5}}[/tex].

[tex]x=4cos (t)=\dfrac{4}{\sqrt{5}}[/tex]

[tex]y=4sin (t)=-\dfrac{8}{\sqrt{5}}[/tex]

Therefore, the two points are [tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].

Answer:

12x

Step-by-step explanation:

Answer: x = 35°

Step-by-step explanation:

Answer:

Perimeter of the given triangle = [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units

Step-by-step explanation:

Perimeter of a polygon = Sum of the measures of all sides of the polygon

From the picture attached,

Perimeter of the given isosceles triangle = Measures of two equal sides + remaining side

P = [tex]2(\frac{3}{x+8})+\frac{x}{x+5}[/tex]

  = [tex]\frac{6}{(x+8)}+\frac{x}{(x+5)}[/tex]

  = [tex]\frac{6(x+5)+(x+8)}{(x+8)(x+5)}[/tex]

  = [tex]\frac{6x+30+x+8}{(x+8)(x+5)}[/tex]

  = [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units

Therefore, perimeter of the given triangle is [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units

Answer

14

you have to simplify

8+1/2(12)

14

Answer:

B. -5

Step-by-step explanation:

3x-1 > 4x-6

   +1

3x>4x-5

     -4x

-x>-5

/-1   /-1

x>-5

Answer:

5) x=3 6) x=9 7) x=12 8) x=9

Step-by-step explanation:

Hey there!

[tex]6 \frac{7}{20}[/tex] as a decimal

The percentage for 6 7/20 is 35%. So if that was the percent, then the decimal would be 0.35.

[tex]0.35(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer: 35

Please give me Brainliest

Answer:

2.37

I hope this helps, also next time make sure your question makes sense

Answer:

3/7

Step-by-step explanation:

3/7 5/12

36/84   35/84

Answer:

Hope this helps;))

Step-by-step explanation:

-3ab+6ab=3ab

2a-4a+3a=1a

7+5=12

12+3ab+1a

Answer:

-2+2ab-a

Step-by-step explanation:

Never combine unlike terms

Ex. Never combine a and ab

By following those rules, you will get -2+2ab-a as your answer.

Answer:

yes

Step-by-step explanation:

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where [tex]w[/tex] is the width and [tex]l[/tex] is the length.

The perimeter of a rectangle is twice its length added to twice its width.

[tex]2l+2w=22[/tex]

The length is 3 more than the width:

[tex]l = w+3[/tex]

We can now substitute in [tex]w+3[/tex] as [tex]l[/tex] in the equation [tex]2l+2w=22[/tex].

[tex]2(w+3) + 2w = 22[/tex]

Distribute the first terms:

[tex]2w+6+2w=22[/tex]

Combine like terms:

[tex]4w+6=22[/tex]

Subtract 6 from both sides:

[tex]4w=16[/tex]

Divide both sides by 4:

[tex]w = 4[/tex]

Now we know that w = 4. We can now substitute this inside an equation to find [tex]l[/tex].

[tex]l = w+3\\\\l = 4+3\\\\l=7[/tex]

Hope this helped!

Answer:

What the other guy said XDDDDDDDDDD

Step-by-step explanation:

I'm awesome =D

Answer:

The right answer is B.

Step-by-step explanation:

because u are solving for y which makes u subtract.

Answer:

0.84, 1.17, 2.25

Step-by-step explanation:

Answer:

.84, 1.17, 2.25

Step-by-step explanation:

You can answer this on your own by finding which numbers are farther away from zero. So the farther you get from zero, the more you have.

um ok.........................

Answer:

100

Step-by-step explanation:

480/4.8=100

4.8x100=480

Answer:

[tex]y = 3(x +21)[/tex]

Step-by-step explanation:

Find the inverse this equation:

[tex]f(x) = (\frac{1}{3}x) - 7[/tex]

-Take the variable [tex]y[/tex] for [tex]f(x)[/tex], because both

[tex]y = (\frac{1}{3}x) - 7[/tex]

-Switch both variable [tex]x[/tex] and [tex]y[/tex] :

[tex]y = (\frac{1}{3}x) - 7[/tex]

[tex]x = (\frac{1}{3}y) - 7[/tex]

-Solve for [tex]y[/tex] :

[tex]x = (\frac{1}{3}y) - 7[/tex]

-Switch sides:

[tex]\frac{1}{3}y - 7 = x[/tex]

-Add both side of the equation by [tex]7[/tex] :

[tex]\frac{1}{3}y - 7 + 7 = x + 7[/tex]

[tex]\frac{1}{3}y = x + 7[/tex]

-Multiply both sides by [tex]3[/tex] :

[tex]\frac{\frac{1}{3}y}{\frac{1}{3} } = \frac{x + 7}{\frac{1}{3} }[/tex]

[tex]y = \frac{x + 7}{\frac{1}{3} }[/tex]

-Divide [tex]x + 7[/tex] by multiplying by [tex]\frac{1}{3}[/tex]

[tex]y = \frac{x + 7}{\frac{1}{3} }[/tex]

[tex]y = 3(x +21)[/tex]

Therefore, the answer is [tex]y = 3(x +21)[/tex].

Step-by-step explanation:

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.

Answer: The answer is 28. Hope this helps:)

Answer:

-1

hope this helps

plz mark brainleist

Answer:

The answer would be 18 years

Step-by-step explanation:

hope this helps:)

Answer:

DE= 7.3

Step-by-step explanation:

you subtract the length if CE - CD to get DE

13.8 - 6.5 = 7.3