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3 years ago

ILL GIVE BRAINLIEST ASAP!!!PLEASE DONT PUT A LINK!!

Mathematics

2 answers:

IgorC [24]3 years ago

8 0

Answer:

The answer is C

Step-by-step explanation:

The line is pointing towards the right and the mark on -3 is shaded in.

Sergio039 [100]3 years ago

3 0

Answer:

c i believe

Step-by-step explanation:

brainliest?

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Yuan makes punch by mixing cranberry juice and pineapple juice. For every 3 cups of punch, he uses 2 cups of cranberry juice. Dr

Aleks [24]

Answer:

10 cups of canberry juice

Step-by-step explanation:

Given that for every 3 cups of punch, he uses 2 cups of cranberry juice.

we need to find the number of canberry juice needed to make 15 cups of punch

3 cup's of punch ---> 2 cups of canberry juice

15 cups's of punch ----> x cups of canberry juice

on cross multiplication we get

$3\times x=15\times2$

x = 10

Therefore we need 10 cups of canberry juice

6 0

3 years ago

3. The curve C with equation y=f(x) is such that, dy/dx = 3x^2 + 4x +k

Andreas93 [3]

a. Given that y = f(x) and f(0) = -2, by the fundamental theorem of calculus we have

$\displaystyle \frac{dy}{dx} = 3x^2 + 4x + k \implies y = f(0) + \int_0^x (3t^2+4t+k) \, dt$

Evaluate the integral to solve for y :

$\displaystyle y = -2 + \int_0^x (3t^2+4t+k) \, dt$

$\displaystyle y = -2 + (t^3+2t^2+kt)\bigg|_0^x$

$\displaystyle y = x^3+2x^2+kx - 2$

Use the other known value, f(2) = 18, to solve for k :

$18 = 2^3 + 2\times2^2+2k - 2 \implies \boxed{k = 2}$

Then the curve C has equation

$\boxed{y = x^3 + 2x^2 + 2x - 2}$

b. Any tangent to the curve C at a point (a, f(a)) has slope equal to the derivative of y at that point:

$\dfrac{dy}{dx}\bigg|_{x=a} = 3a^2 + 4a + 2$

The slope of the given tangent line $y=x-2$ is 1. Solve for a :

$3a^2 + 4a + 2 = 1 \implies 3a^2 + 4a + 1 = (3a+1)(a+1)=0 \implies a = -\dfrac13 \text{ or }a = -1$

so we know there exists a tangent to C with slope 1. When x = -1/3, we have y = f(-1/3) = -67/27; when x = -1, we have y = f(-1) = -3. This means the tangent line must meet C at either (-1/3, -67/27) or (-1, -3).

Decide which of these points is correct:

$x - 2 = x^3 + 2x^2 + 2x - 2 \implies x^3 + 2x^2 + x = x(x+1)^2=0 \implies x=0 \text{ or } x = -1$

So, the point of contact between the tangent line and C is (-1, -3).

7 0

2 years ago

Distribute &combine 2 -(-x+5)

natita [175]

2-(-x+5)
2+x-5
x-3
I decided to included the steps just in case you needed them

8 0

4 years ago

A local board of education conducted a survey of residents in the community concerning a property tax levy on the coming local b

IrinaK [193]

Answer:

a. [ 0.454,0.51]

b. 599.472 ~ 600

Step-by-step explanation:

Confidence Interval For Proportion

CI = p ± Z a/2 Sqrt(p*(1-p)/n)))

x = Mean

n = Sample Size

a = 1 - (Confidence Level/100)

Za/2 = Z-table value

CI = Confidence Interval

Mean(x)=410

Sample Size(n)=850

Sample proportion = x/n =0.482

Confidence Interval = [ 0.482 ±Z a/2 ( Sqrt ( 0.482*0.518) /850)]

= [ 0.482 - 1.645* Sqrt(0) , 0.482 + 1.65* Sqrt(0) ]

= [ 0.454,0.51]

Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)

Z a/2 at 0.05 is = 1.96

Samle Proportion = 0.482

ME = 0.04

n = ( 1.96 / 0.04 )^2 * 0.482*0.518

= 599.472 ~ 600

8 0

3 years ago

Triangle ABC is dilated by a scale factor of 1.5 to form Triangle DEF. Are Triangles ABC and DEF congruent? Why or why not?

Triss [41]

Answer:

Yes, they will be.

Step-by-step explanation:

Congruent means when they are the same shape and same size.

If triangle ABC is dilated to <u><em>form</em></u> triangle DEF, that means that they will have the same shape and the same size.

So yes Triangles ABC and DEF will be congruent to one another because they will be the same shape, and they will have the same size as well.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

6 0

3 years ago