g (r)=-5r+13
g(3) Evaluate Functions

Answer:

8, 9, 10

Step-by-step explanation:

three positive consecutive integers

x, x + 1, x + 2

the product of the smallest and the largest is 26 more than six times the middle integer

x(x + 2) = 6(x + 1) + 26

Expand

x^2 + 2x = 6x + 6 + 26

Combine like terms

x^2 + 2x = 6x + 32

Subtract 6x + 32 from both sides

x^2 - 4x - 32 = 0

Factor

(Alternately use the quadratic formula or complete the sqaure)

(x - 8)(x + 4)

x = {-4, 8}

-4 is extraneous because the integers must be positive

x = 8

x + 1 = 9

x + 2 = 10

8, 9, 10

Answer:

[tex]8,9,10[/tex]

Step-by-step explanation:

We can make this an equation and use the variable n to represent our numbers

[tex]n-1(smallest)[/tex]

[tex]n(middle)[/tex]

[tex]n+1(largest)[/tex]

[tex](n-1)\cdot (n+1)=6n+26[/tex]

[tex]n^2-1 = 6n+26[/tex]

[tex]n^2 - 6n - 27 = 0[/tex]

After we factorize we get

[tex]n=9[/tex]

since our smallest is [tex]n-1[/tex] so our smallest number is [tex]8[/tex] and largest is [tex]10[/tex]

brainliest please :)

Answer:

10.25

Step-by-step explanation:

Using the pythagorean theorem

13^2 = 8^2 + (ML)^2

169 = 64 + (ML)^2

Subtract 64 from both sides

105 = (ML)^2

Take the square root of both sides

10.25 = ML

Answer:

50 cm²

Step-by-step explanation:

We know that PQRS is a paralleogram so we know that RS = PQ.

We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²

Answer:

x = 3, y= 5

Step-by-step explanation:

y = 2x - 1 -----(1)

y = 3x + 2 ----(2)

From (1)

2x - y = 1 ----(3)

From (2)

3x - y = -2 -----(4)

Solving (3) and (4) simultaneously

2x - y = 1

- 3x - y = -2

___________

x = 3

subst. x = 3 in (1)

2(3) - y = 1

6 - y = 1

y = 6-1

y = 5

Hence, x = 3, y = 5

Answer:

60

Step-by-step explanation:

I hope this helps

The diameter of the  cylinder is equal to 59.98 units.

Given the following data:

To determine the diameter of the  cylinder:

First of all, we would find the radius of the circular base of this cylinder.

Mathematically, the volume of a cylinder is given by the formula:

[tex]Volume = \pi r^2h[/tex]

Making r the subject of formula, we have:

[tex]r=\sqrt{\frac{V}{\pi h} }[/tex]

Substituting the given parameters into the formula, we have;

[tex]r=\sqrt{\frac{33912}{3.142 \times 12} }\\\\r=\sqrt{899.43}[/tex]

Radius, r = 29.99 units.

For the diameter:

[tex]Diameter = 2 \times radius\\\\Diameter = 2 \times29.99[/tex]

Diameter = 59.98 units.

Read more: https://brainly.com/question/1908836

Answer:

the question is incomplete

Answer:

$8

Step-by-step explanation:

60% of 30 is 16.

1/2 of 16 is 8.

He has $8 left.

Answer:

A & C

Step-by-step explanation:

To find the two expressions that are equivalent to 6.5 ÷ 1.3, you need to solve all of them until you get the two expressions that have a quotient of 5.

Let's begin solving!

65 ÷ 13  = 5

So now we know that A is one of our answers

65 ÷ 130 = 0.5

Not one of our answers because the quotient is not 5

650 ÷ 130 = 5

This is our other answer! We don't need to solve D because we only needed to find two expressions which are A and C.

Hope this helps you :)

Answers are A and C.

6.5 ÷1.3 = 5

A. 65 ÷ 13 = 5 so yes

B. 65 ÷ 130 = .5 so no

C. 650 ÷ 130 = 5 so yes

D. 650 ÷ 13 = 50 so no

Answer:

2456≈2500

14725=14700 (to 3sf)

Answer:

OP question dude..

Step-by-step explanation:

Over Powered

Answer:

-6x+10

Step-by-step explanation:

-2(x + 1) - 4(x - 3)

Distribute

-2x-2 -4x+12

Combine like terms

-6x+10

Answer:

-6x +10

Step-by-step explanation:

First, open the parenthesis by multiplying the number outside to the terms inside:

-2(x+1) = -2x - 2

-4(x-3) = -4x + 12

then combine the like terms:

-2x - 4x + 12 - 2 = -6x + 10

Answer:

1515

Step-by-step explanation:

Answer:

its 100

Step-by-step explanation:

The question is asking what is ∠ABD, you  have to look at when A=0 on the projector, so if you follow along the 0° from A, when it reaches D, the project reads 100°

no guessing here,

you know 80° cannot be correct because this angel is obtuse and not acute

which means greater that 90°

Answer:

I have no clue I'm trying to get my account set up

Answer:

5f+45g

Step-by-step explanation:

Simplify

5*f(1) = 5f

5*g(9) = 45g

5f+45g

Answer:

y=4/3x+19/3

Step-by-step explanation:

perpendicular = slope is the negative reciprical.

plug in the point (-4,1) for (x,y)

1(y)=4/3(-4)+b

1=-16/3+b

b=19/3

Answer:

8 + z = 13.

Step-by-step explanation:

8 + z = ?

z = 5

8 + 5 = ?

8 + 5 = 13.

Answer:

13

Reasoning

[tex]8+z=?[/tex] when z=5

[tex]8+5=13[/tex]

Step-by-step explanation:

we see f(x), which is |x|.

and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.

shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.

so, a shift down by 3 units is done by adding -3.

therefore, C is the correct answer (the original f(x) - 3).

Answer:

452.38 US dollars.

Step-by-step explanation:

I think I need to know what the cat weighs first...

Answer:

the answer for this equation is -32

Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

24/6=4

6x4=24

6+6=12

6+6=12      12+12=24

Solution:

Given,

No. of marbles =24

No. of marbles each child received=4

No. of children in the group=?

Here,

No. of children in the group = No. of marbles/

No. of marbles

each child received

=24/4

=6

Hence, There were 6 children in the group.

The metric unit of a quantity is simply the unit of measurement of the quantity

The volumes of the crashed tomato cans are 1184 milliliters and 1.184 liters

The volume of the crushed tomato can is given as:

[tex]\mathbf{Volume = 40oz}[/tex]

From the question, we have the following conversion ratio

[tex]\mathbf{1oz \approx 29.6mL}[/tex]

So, the volume in milliliters becomes

[tex]\mathbf{Volume = 40 \times 29.6mL}[/tex]

Multiply

[tex]\mathbf{Volume = 1184mL}[/tex]

To convert the unit to liters, we simply divide the volume by 1000.

So, we have:

[tex]\mathbf{Volume = 1184L \div 1000}[/tex]

[tex]\mathbf{Volume = 1.184L}[/tex]

Hence, the equivalent volumes are 1184 milliliters and 1.184 liters

Read more about metric units at:

https://brainly.com/question/2004114

Answer:

true

Step-by-step explanation:

Answer:

7 - [tex]x^{2}[/tex]

Step-by-step explanation:

This is the answer because:

1. "Difference" means subtraction

2. The statement basically is saying, what is 7 subtracted by the square of x

3. That simplifies to 7-x^2

Hope this helps!

Hi there! (:

The difference of means we subtract:

7-f² (let the number be f)

Hope it helps!

~An excited gal

#StayJoyful

[tex]SparklingFlower[/tex]

Answer:

[tex]\huge\boxed{a) 28 \\ }\huge\boxed{b) 31}[/tex]

Step-by-step explanation:

A fibonacci-type sequence is simply a sequence that consists of the n-1th term + the n-2th term.  This simply means that the sum of the two numbers before a term, are the term.

Hope it helps :) and let me knwo if you want me to elaborate.

Answer:

a is 28 and  b is 31

Step-by-step explanation:

i hoped this helped