) 6. What is the volume of the composite figure

katrin [286]

$\boxed{d-4$

<h2>Explanation:</h2>

Hello! Recall you need to write complete questions in order to find exact answers. So in this problem I'll assume the question is:

<em>A number d minus 4 is less than -1</em>

<em />

So it is easy to know that we need to write an inequality here because of the words "less than", which implies that we must use the symbol <. So let's solve this step by step.

Step 1. A number d minus 4.

This statement includes the word "minus", so we need to use the symbol (-). Therefore:

$d-4$

Step 2. A number d minus 4 is less than

As we said above, here we need to use the symbol (<). So:

$d-4$

Step 3. A number d minus 4 is less than -1

Finally, we get:

$d-4$

<h2>Learn more:</h2>

Inequalities: brainly.com/question/9611462

#LearnWithBrainly

3 0

2 years ago

What is the slope of the line passing through the points

Bingel [31]

Hello!

Answer:

$\boxed{2}$

Step-by-step explanation:

$Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{1-(-5)}{4-1}=\frac{6}{3}=2$

Therefore, the slope is 2, which is our final answer.

Hope this helps!

Have a nice day! :)

:D

Thank you!

6 0

2 years ago

The graph of which function has a minimum located at (4, –3)?

valentinak56 [21]

Answer:

None of the options is the answer to the question

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$f(x)=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

case A) we have

$f(x)=x^{2}+4x-11$

In this case the x-coordinate of the vertex will be negative

therefore

case A is not the solution

case B) we have

$f(x)=-2x^{2}+16x-35$

This case is a vertical parabola open downward (the vertex is a maximum)

The vertex is the point $(4,-3)$ <u>but is not a minimum</u>

see the attached figure

therefore

case B is not the solution

case C) we have

$f(x)=x^{2}-4x+5$

Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-5=x^{2}-4x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-5+4=(x^{2}-4x+4)$

$f(x)-1=(x^{2}-4x+4)$

Rewrite as perfect squares

$f(x)-1=(x-2)^{2}$

$f(x)=(x-2)^{2}+1$ --------> vertex form

The vertex is the point $(2,1)$

therefore

case C is not the solution

case D) we have

$f(x)=2x^{2}-16x+35$

Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-35=2x^{2}-16x$

Factor the leading coefficient

$f(x)-35=2(x^{2}-8x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-35+32=2(x^{2}-8x+16)$

$f(x)-3=2(x^{2}-8x+16)$

Rewrite as perfect squares

$f(x)-3=2(x-4)^{2}$

$f(x)=2(x-4)^{2}+3$ --------> vertex form

The vertex is the point $(4,3)$

therefore

case D is not the solution

The answer to the question will be the function

$f(x)=2x^{2}-16x+29$

7 0

3 years ago

Read 2 more answers

The Outdoors Club members are planning some activities to do on a sunny autumn Saturday. One half of the members are going hikin

stira [4]

72 members
1/8 is 9 members
9 x 8 = 72

6 0

2 years ago

Read 2 more answers

Compact discs are on sale for $13.00 including tax. How many can you buy with $84.00?

marishachu [46]

Answer:

You can buy 6

Step-by-step explanation:

You divide 84 by 13 and it will give u a decimal

5 0

2 years ago