Answer:
20
Step-by-step explanation:
Given the expression
x(x + 3) + 2 for x = 3
Substitute x =3 into the equation
f(3)= 3(3+3)+2
f(3) = 3(6)+2
f(3) = 18+2
f(3) =20
Hence the value of the expression when x = 2 is 20
Write an equation of the line that passes through (3,2) and is perpendicular to the line y= 1/3x-3
Answer:
y = - 3x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x - 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3, then
y = - 3x + c ← is the partial equation
To find c substitute (3, 2) into the partial equation
2 = - 9 + c ⇒ c = 2 + 9 = 11
y = - 3x + 11 ← equation of perpendicular line
There are 32 sticks in the game. The sticks are either orange (x) and red (y). There are 5 more red sticks than twice the number of orange sticks Write the two equations in order to solve the system and then tell me how many orange and red sticks are in the game.
Answer:
orange = 9 sticks
Red = 23 sticks
Step-by-step explanation:
orange = x
Red = y
x + y = 32
There are 5 more red sticks than twice the number of orange sticks
y = 2x + 5
x + y = 32
x + 2x + 5 = 32
3x = 32 - 5
3x = 27
x = 27/3
x = 9 sticks
y = 2x + 5
= 2(9) + 5
= 18 + 5
y = 23 sticks
orange = 9 sticks
Red = 23 sticks
henry has his own dog washing business. his current business model charges by the weight of the dog
Incomplete question. I provided an explanation about the term, "business model."
Explanation:
Usually, when mention is made of the term business model it simply refers to the decided way a business plans to make profits.
In other words, it includes information about services or products to be offered by the business in other to keep the business alive, but not just been alive but to continue growing profit-wise.
Hence, we can say, Henry's business model should contain information about the dog charges which would be profitable to his business.
estimate 22274 divided by 37
Answer:
i believe the answer 602
Step-by-step explanation:
tell me if im wrong but hoped I helped:)
Answer:
602
Step-by-step explanation:
hope it helps
Solve 3x + k= c for x.
O'A. x = 3(c- k)
O B. X=C+*
3
<=
O C. x-cok
O D. x = 3(c+ k)
Answer:
x = (c - k) / 3
Can you insert an image or retype the question, it is hard to read with the information that is incorrectly placed.
34 is 50% of what number?
A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft and weighs 50 lb. The second product's unit volume is 3 cu ft, and it weighs 40 lb. If the company's trucks have 2,320 cu ft of space and can carry 21,600 lb, how many units of each product can be transported in a single shipment with one truck using the entire volume and weight capacity?
Answer:
Number of units of first product = 112
Number of units of second product = 400
Step-by-step explanation:
Given that there are two products which are to be shipped.
First product details:
Unit volume = 10 cu ft
Weight of one unit = 50 lb
Second product details:
Unit volume = 3 cu ft
Weight of one unit = 40 lb
Total volume that can be carried by a truck = 2320 cu ft
Total weight that can be carried by a truck = 21600 cu ft
To find:
The number of units of each product that can be transported in one shipment in the truck?
Solution:
Let number of units of first product = [tex]x[/tex]
Let number of units of second product = [tex]y[/tex]
We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.
As per question statement, the equations can be written as:
[tex]10x+3y = 2320 ...... (1)\\50x+40y = 21600\\\Rightarrow 5x+4y = 2160...... (2)[/tex]
Multiplying equation (2) with 2 and subtracting equation (1) from it:
[tex]8y - 3y = 4320-2320\\\Rightarrow 5y = 2000\\\Rightarrow \bold{ y = 400}[/tex]
By equation (1):
[tex]10x+1200 = 2320\\\Rightarrow 10x = 1120\\\Rightarrow \bold{x = 112}[/tex]
Answer is:
Number of units of first product = 112
Number of units of second product = 400
A car manufacturer produced 5,000 cars for a limited edition model. Dealers sold all of these cars at mean price
of $36,000 with a standard deviation of $3,000. Suppose we were to take random samples of 9 of these cars
and calculate the sample mean price z for each sample.
Calculate the mean and standard deviation of the sampling distribution of 2.
H(x)=_________dollars
O(x)=_________dollars
Answer:
μₓ = 36,000 dollars
σ ₓ= 1,000 dollars
Step-by-step explanation:
to find μₓ = 36,000 dollars:
Look in the question, it states that the mean is $36,000.
to find σ ₓ= 1,000 dollars:
[tex]\frac{3000}{\sqrt{9} } = 1000[/tex]
The mean and standard deviation of the sampling distribution is $36000 and $1000.
What is Standard Deviation?
The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Given:
The mean and the standard deviation of the sampling distribution of the sample mean:
Mean, [tex]\mu[/tex] = $36000
[tex]\sigma[/tex] = 3000
n = 9
So, standard deviation of the sampling distribution
= [tex]\sigma[/tex] / √n
= 3000 / √9
= 3000/3
= 1000
Hence, Mean = $36,000 and standard deviation = $1000.
Learn more about Standard deviation here:
https://brainly.com/question/21274500
#SPJ5
y = -5/3x + 3
y= 1/3x - 3
And graphing it
Answer:
Graph.
y=−1/3x+3
y
=
−
1
3
x
−
1
Step-by-step explanation:
A construction crew has just finished building a road. The crew worked for 4 1/5 days. If they built 2 1/3 kilometers of road each day, what is the total length of road they built?
Answer:
9.8
Step-by-step explanation:
The crew worked for 4 1/5 days
They built 2 1/3 kilometres of road each day
Therefore the total length of the road can be calculated as follows
= 4 1/5 × 2 1/3
= 21/5 × 7/3
= 147/15
= 9.8
Hence the length of the road is 9.8 kilometres
HURRYYYYY ITS DUE IN 20 MINUTES
Step-by-step explanation:
Volume of cylinder
πr²h = π×(12)²×(18)
Choco : Vanilla : Strawberry
3 : 2 : 1
to find volume of strawberry,
[tex] \frac{1}{6} \times volume \: of \: cylinder[/tex]
then use your calculator
PLEASE HELP!! BRAINLIEST IF CORRECT!!! THANKS!!! 5 STAR!!
The drama club ordered 15 pizzas for the cast party. If the 25 members ate 12 1/2 pizzas out of the 15. How much pizza did each cast member eat?
The perimeter of a rectangular room is 52 feet. The length is 2 more than the width. What is the width of the room?
A. 10 feet
B. 14 feet
C. 13 feet
D. 12 feet
Answer:
10
Step-by-step explanation:
i think its 10 maybe cuz if u see
the perimeter of a rectangular room is 52 feet. right?
then then height is 2 more than the width. what is the width of the room? so am I right copying the question? yes the question is right copied ok!
now see when u subtract 2 from 12 it gives u 10 and length i as 2 more than the width so maybe 10
Been about two years since i dated you why you still talking bout me like we together
Find the area of the circle if r=5 meters.leave the answer of terms.
Which linear equation can be used to represent a line perpendicular to Line W passing through point (-3,-2)?
line on graph is x=8 Help please
Answer:
D) y = -2
The equation of the perpendicular line to the given line is y = -2
Step-by-step explanation:
Explanation:-
Given point (-3,-2)
In graph the equation of line x = 8 ( parallel to y- axis )
1 x + o y - 8 =0
The equation of the perpendicular line to the given line
b x - a y + k =0
o x - 1 y + k =0 ...(i)
The equation (i) is Paases through the point ( -3,-2)
0 ( -3) -1(-2) + k =0
2 + k =0
k = -2
∴The equation of the perpendicular line to the given line is
put k = -2 in equation (i)
o x - 1 y + k =0
- y +(-2) =0
- y = 2
y = -2
Final answer:-
∴The equation of the perpendicular line to the given line is y =-2
Nikki used the calculations shown to determine whether a carton of 12 eggs or a carton of 18 eggs was the better buy.
A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39.
Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg
Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg
The 12-egg carton has the lower unit cost, so it is the better buy.
She is right, however her explanation is wrong.
In order to find the unit price, you need to divide the amount by the cost.
You will then see that 12 divided by 2.39 < 18 divided by 3.39.
The smaller unit price is obviously the better buy.
Weber's Mail Manufacturing is a company that produces chain mail. Their most popular product is saw-cut metal links that hobbyists can use to make their own creations. The company recently spent $600 on advertising, which they hope to make back quickly. The wire used to produce one ounce of links costs $1, but the finished links sell for $4 per ounce. Eventually, the company will make back its investment and break even. What will their expenses and sales both equal?
Answer:
Their expenses and sales will both equal at 200 ounces.
Step-by-step explanation:
This can be determined using the break-even point in ounce formula as follows:
Break even point in ounce = Fixed cost / Contribution per ounce
Where;
Fixed cost = Advertising = $600
Contribution per ounce = Selling price per ounce - Cost per ounce = $4 - $1 = $3
Substituting the values into equation (1), we have:
Break even point in ounce = $600 / $3 = 200 ounces
Therefore, their expenses and sales will both equal at 200 ounces.
help me I will give brainiest
Answer:
its many solutions
Step-by-step explanation:
Help please please!!
VSpeeding A trucker handed in a ticket at a toll booth showing that in 2 h she had covered 159 mi on a toll road with speed limit 65 mph. The trucker was cited for speeding. Why
Answer:
The trucker was cited for speeding because his speed was above that of the speed limit of the toll road by 14.5mph
Step-by-step explanation:
Step 1
We calculate the speed of the trucker
Speed = Distance(miles)/Time(hours)
Distance = 159 miles
Time = 2 hours
Speed = 159 miles/2 hours
Speed = 79.5 miles per hour = 79.5 mph
From the question, we are told that: that toll road has a speed limit of 65mph
Step 2
We calculate the difference
= 79.5 mph - 65 mph
= 14.5 mph
Hence, the trucker was cited for speeding because his speed was above that of the speed limit of the toll road by 14.5mph
Halla la suma de los infinitos términos de la progresión geométrica si r= 1/5 y a1=1/2
Answer:
5/8
Step-by-step explanation:
Aquí, queremos encontrar la suma al infinito de la progresión geométrica, dado el primer término y la razón común Matemáticamente, eso sería;
S = a/1-r
S = 1/2/(1-1/5)
S = 1/2/4/5
S = 1/2 * 5/4
S = 5/8
Which equation represents a line that is parallel to y = negative 2 x minus 5?
Answer:
Step-by-step explanation:
The equation of a line is y=mx+b
We currently have y=-2x-5, where the slope is -2
A parrallel line would have the same slope, so also -2
Any equation that has a slope, or m of -2 would be parallel!
I hope this helped! :)
find the value of y for the given value of x y= x/3 ;x=12
Answer:
value of y is 4
Step-by-step explanation:
HELPPP pwease ¤-¤ im almost done
Answer:
f^-1 (x) = 2X + 8
Step-by-step explanation:
Let's make f(x) = y
Y = X/2 - 4
So to find the inverse, switch the y with the x like so:
X = Y/2 - 4 (isolate the Y value)
X + 4 = Y/2 (multiply both sides by 2)
2(X + 4) = Y
Y = 2X + 8
So f^-1 (x) = 2X + 8
For the scientific notation, write the standard form: 8.02 x 10-2
9514 1404 393
Answer:
0.0802
Step-by-step explanation:
8.02 × 10^-2
= 8.02 × 0.01
= 0.0802
_____
Your scientific or graphing calculator, or any spreadsheet, can convert number formats for you.
some math on a test hcb kdhbfkvhsd
Answer:
i think c
Step-by-step explanation:
Answer:
Its either A or C, but I would go with C
Step-by-step explanation:
select all of the statements that correctly describe the Pythagorean theorem and it’s converse HELP ASAP
Answer:i took this test so i’m pretty sure it’s c and f
Step-by-step explanation:
PLEASEEEE ASAPPPPPP
Find all values of x that make the triangles congruent. Explain your reasoning.
Answer:
The values of x that make the triangles congruent.
x = 6 and x = 3
Step-by-step explanation:
Given
AC = 5x-2DC = 3x+10AB = 5xDB = 4x+3Given that the triangles are congruent.
According to the SAS (Side-Side-Side)
AC = DC
AB = DB
so
AC = DC
substituting AC = 5x-2 and DC = 3x+10
5x-2 = 3x+10
5x-3x = 10+2
2x = 12
divide both sides by 2
2x/2 = 12/2
x = 6
and
AB = DB
substituting AB = 5x and DB = 4x+3
5x = 4x+3
5x-4x = 3
x = 3
Therefore, the values of x that make the triangles congruent.
x = 6 and x = 3
Oh sunday sheldon bought 4 1/2 kg of plant food,he used 1 2/3 kg on his strawberry plants and used 1/4 kg on his tomato plant.How many kg of palnt food did sheldon have?
Complete Question
Oh sunday sheldon bought 4 1/2 kg of plant food,he used 1 2/3 kg on his strawberry plants and used 1/4 kg on his tomato plant.How many kg of palnt food did sheldon have left?
Answer:
2 7/12 kg
Step-by-step explanation:
Oh sunday sheldon bought 4 1/2 kg of plant food,he used 1 2/3 kg on his strawberry plants and used 1/4 kg on his tomato plant.How many kg of palnt food did sheldon have left?
Step 1
We add up the kg of plant food that he used
He used 1 2/3 kg on his strawberry plants and used 1/4 kg on his tomato plant.
The total amount of plant food that he used = 1 2/3 kg + 1/4 kg
Lowest Common Denominator 12
1 + (2/3 + 1/4)
1 + (8 + 3/12)
1 11/12 kg of plant food
Hence he has used 1 11/12 kg of plant food
Step 2
The amount of plant food that he had left is calculated as:
Amount of plant food Sheldon bought - Amount of plant food he used
Amount of plant food Sheldon bought = 4 1/2 kg
The amount of plant food that he had left = 4 1/2 kg - 1 11/12
4 - 1 + (1/2 - 11/12)
Lowest common denominator = 12
3 + ( - 5/12)
= 2 7/12 kg
Therefore, the kg of plant food that sheldon had left = 2 7/12 kg