Work out the surface area of this cylinder.<br>2 cm<br>4 cm

2 good 2 be truee???? pls help

Kaylis [27]

Answer:

the correct answer is 23$

Step-by-step explanation:

15% off takes 15% of the whole price

hope this helps

4 0

3 years ago

What is the quotient when 4x3 + 2x + 7 is divided by x + 3?

Arte-miy333 [17]

Answer:

The quotient of this division is $(4x^2 -12x + 38)$ . The remainder here would be $-26$ .

Step-by-step explanation:

The numerator $4x^3 + 2x + 7$ is a polynomial about $x$ with degree $3$ .

The divisor $x + 3$ is a polynomial, also about $x$ , but with degree $1$ .

By the division algorithm, the quotient should be of degree $3 - 1 = 2$ , while the remainder shall be of degree $1 - 1 = 0$ (i.e., the remainder would be a constant.) Let the quotient be $a\,x^2 + b\, x + c$ with coefficients $a$ , $b$ , and $c$ .

$4x^3 + 2x + 7 = \left(a\,x^2 + b\, x + c\right)(x + 3)$ .

Start by finding the first coefficient of the quotient.

The degree-three term on the left-hand side is $4 x^3$ . On the right-hand side, that would be $a\, x^3$ . Hence $a = 4$ .

Now, given that $a = 4$ , rewrite the right-hand side:

$\begin{aligned}&\left(4\,x^2 + b\, x + c\right)(x + 3) \cr =& \left(4x^2 + (b\, x + c)\right)(x + 3) \cr =& 4x^2(x + 3) + (bx + c)(x + 3) \cr =& 4x^3 + 12x^2 + (bx + c)(x + 3)\end{aligned}$ .

Hence:

$4x^3 + 2x + 7 = 4x^3 + 12x^2 + (b\,x + c)(x + 3)$

Subtract $\left(4x^3 + 12x^2\right$ from both sides of the equation:

$-12x^2 + 2x + 7 = (b\,x + c)(x + 3)$ .

The term with a degree of two on the left-hand side has coefficient $(-12)$ . Since the only term on the right hand side with degree two would have coefficient $b$ , $b = -12$ .

Again, rewrite the right-hand side:

$\begin{aligned}&\left(-12 x + c\right)(x + 3) \cr =& \left(-12 x+ c\right)(x + 3) \cr =& (-12x)(x + 3) + c(x + 3) \cr =& -12x^2 -36x + (bx + c)(x + 3)\end{aligned}$ .

Subtract $-12x^2 -36x$ from both sides of the equation:

$38x + 7 = c(x + 3)$ .

By the same logic, $c = 38$ .

Hence the quotient would be $(4x^2 - 12x + 38)$ .

6 0

3 years ago

Christina goes to market with $50. She buys one papaya for $20 and spends the rest of the money on bananas. Each banana costs $6

maria [59]

$x-\ number\ of\ bananas\\\\
20+6x\leq50\ \ \ \ | subtract\ 20\\\\
6x\leq30\ \ \ | divide\ by\ 6\\\\
x\leq5\\\\
x\in(-\infty,5)$

7 0

3 years ago

At the beginning of the year Jason had $80 in his savings account. Each month he added $15 to his account. Write in expression f

zmey [24]

So what you do is theres 12 months so multiple that by 15 and get 180 then what you do is what time 80 equals 180 and thats your answer

6 0

4 years ago

The graph of F(x) shown below resembles the graph of G(x) = x ^ 2 but it has been changed somewhat . Which of the following coul

Lorico [155]

Answer:

f(x) = 3 $x^{2}$ + 2

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one because I answered this question once in Brainly as well. Please have a look at the attached photo.

My answer:

Given G(x) = $x^{2}$

As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)

=> f(x) = a $x^{2}$ + 2

As you can see, the graph of f(x) is stretched vertically by a dilation factor of 3 and there is no reflection, so a= 3

=> the equation of f(x) is: f(x) = 3 $x^{2}$ + 2

Hope it will find you well.

5 0

3 years ago

Work out the surface area of this cylinder.2 cm4 cm​

Work out the surface area of this cylinder.2 cm4 cm