Answer:
The total profits will be zero at sales prices of $4 and $9
Step-by-step explanation:
∵ The function is y = -3x² + 39x - 108, where
y is the total profits of hundreds of dollars x is the sales priceThe zeroes of the function are the values of x at y = 0
→ To find the zeroes of the function above equate y by 0
∵ 0 = -3x² + 39x - 108
→ Switch the two sides
∴ -3x² + 39x - 108 = 0
→ Divide all terms by -3 to simplify the equation
∴ x² - 13x + 36 = 0
→ Let us factor the trinominal into two brackets
∵ The last term is +ve and the middle term is -ve
∴ The two brackets have (-) sign in the middle ⇒ (... - ...)(... - ...)
∵ x² = (x)(x)
∵ 36 = (4)(9)
∵ (4)(x) + (9)(x) = 4x + 9x = 13x ⇒ the value of the middel term
→ That means the factors of the trinomial are (x - 4) and (x - 9)
∴ x² - 13x + 36 = (x - 4)(x - 9)
→ Replace the trinomial by its factors
∴ (x - 4)(x - 9) = 0
→ Equate each bracket by 0 to find x
∵ x - 4 = 0
→ Add 4 to both sides
∴ x = 4
∵ x - 9 = 0
→ Add 4 to both sides
∴ x = 9
∴ The zeroes of the functions are 4 and 9
∵ x represents the sales price in dollars
∴ The sales prices which make zero profit are $4 and $9
∴ The total profits will be zero at sales prices of $4 and $9
The sum of three consecutive integers is 48. What are the three numbers?
What three consecutive integers have a sum of 48? Which means that the first number is 15, the second number is 15 + 1 and the third number is 15 + 2. Therefore, three consecutive integers that add up to 48 are 15, 16, and 17.
if you have distance and time how do you find speed?
Answer:
Divide distance by time.
Step-by-step explanation:
Speed is distance over time. Therefore, dividing distance by time will get you speed.
Answer:
The formula to solve for speed is s=d/t.
Hope this helps you out a bit...have a great day :3
Consider 8 = − 2/3x. 1 Which is the BEST first step to take when solving the given equation?
A) Multiply each side by 3/2.
B) Multiply each side by −3/2.
C) Multiply each side by −2/3.
D) Add 2/3x to each side.
Solve the equation.
A) x = 10
B) x = 6
C) x = −10
D) x = −12
I really need help with this ?
what is 1555 times 67
Answer:
104185
Step-by-step explanation:
Answer:
104,185
Step-by-step explanation:
Find the least common multiple of 6a2 and 5a3.
0.3 ÷ 6.24 show your work, ik im retarted
Answer:
Below are the steps to take
Help me solve this 2(q +r)
I think the answer is 2q+2r
Amy opened a savings account with $1.350 she received for graduation. The account pays 4.3% simple interest. What is the balance after 6 months?
Round 15,485,516 to the nearest ten thousands
Your answer
Answer:my answer is 15,490,000
Step-by-step explanation: cuz that is what rounding does
Your parents love coffee . They purchased a bag of coffee online for 10.99. Since they purchased it online . They received 18% off . What was the sale price
7x + 3x + 4 - 24 (Given)
10x + 4 = 24 (Simplify)
10x = 20)
x = 2 (Division)
What is the missing reason for the argument shown?
A)
addition.
B)
division
C)
subtraction
D)
multiplication
Answer:
The missing reason for the shown argument is subtraction.
Step-by-step explanation:
HELP! A line goes through the points (8,10) and .
What is the slope of the line? Show your work
Write the equation of the line in point-slope form. Show your work
Write the equation of the line in slope-intercept form. Show your work.
I will give y'all 50 points please answer and show your work! Please keep in mind I am not afraid to report someone.
Answer:
slope is [tex]\frac{3}{5}[/tex] ; slope-intercept form is y = [tex]\frac{3}{5}[/tex] x + [tex]\frac{13}{20}[/tex] ; point-slope form is 4 - 10 = [tex]\frac{3}{5}[/tex] (-2 - 8)
Step-by-step explanation:
first, we find the slope by using our points (8,10) and (-2,4)
to do so, you use the expression [tex]\frac{y1 - y2}{x1 - x2\\}[/tex] where (8,10) is point 1 and (-2,4) is point 2
this results in [tex]\frac{10-4}{8--2}[/tex]
10-4 is 6 and 8--2 is 10
which results in the slope of [tex]\frac{3}{5}[/tex]
now that we have the slope, we can solve for the y-intercept using the slope-intercept formula [y = mx +b]
we choose a point [im using (8,10)] and but the values in for x and y in the equation, which gives us 10 = 3/5 (8) + b , and solve for b
to solve for b, we start by dividing both sides by 8, resulting in 5/4 = 3/5 +b
then, subtract 3/5 from 5/4, resulting in 13/20 = b
To check the work, we use slope-intercept formula again [yeyyy]
y = 3/5x + 13/20 ; 4 = 3/5 (-2) + 13/20
i used my calculator to check, it's correct
SO: the slope-intercept form of the equation is y = [tex]\frac{3}{5}[/tex] x + [tex]\frac{13}{20}[/tex]
now we get to do the point-slope formula [yeyyyyyyyyyyy!!!]
point-slope formula is y - y1 = m (x - x1)
the slope [m] is [tex]\frac{3}{5}[/tex]
and we use any given point [im using (8,10) again, but any point should technically be correct] for y1 and x1
inputting our values, we get y - 10 = 3/5 (x - 8)
now, you use any other point for x and y to check the work
4 - 10 = 3/5 (-2 - 8)
-2 - 8 is -10, and 3/5 times -10 is -6, which is equal to 4 - 10
Answer:
3/5
Step-by-step explanation:
did the test
If the sum of three consecutive numbers is 1998, what is the first one?
Answer:
666
Step-by-step explanation:
Because I said so.
20 POINTS PLEASE HELP!!!!! Charlie bought hamburgers and drinks for his coworkers. Each hamburger cost $3.75
and each drink cost 50 cents. In total, Charlie paid $25.50 for his order.
Write an equation that represents the relationship between the number of
hamburgers he bought, h, and the number of drinks he bought, d.
Answer:
3.75h + 0.5d = 25.50
Step-by-step explanation:
3.75h is $3.75 multiplied by h, the amount of hamburgers they buy. same goes for 0.5d it’s 50¢ multiplied by d, the amount of drinks they buy. then both those variables added has to equal $25.50 because that’s how much they spent total.
Order these numbers from least to greatest based on there absolute value
|-2.5|,|-2|,|-2.4|,|-3|
Answer:
3, 2.5, 2.4, 2
Step-by-step explanation:
Answer:
|-3|,|-2.5|,|-2.4|,|-2|
Step-by-step explanation:
Treat them as if they were all positive numbers .
Graph the following figure in the coordin
X(0,1), Y(4, - 2), Z(-5,-2)
The perimeter is
Answer: I am in highschool and im doing this stuff. If you find out the answer let me know please.
Help me pleaseeeeee!!
Mr. Smith and Ms. Jones start at the same place.
Mr. Smith drives north for 4 miles. Ms. Jones
drives east for 5 miles. What is the direct distance
between Mr. Smith and Ms. Jones?
A. 18 miles
B. 41 miles
C. 9 miles
D. 41 miles
PLS HELP ASAP! FOR BRAINLIEST ANSWER!
Answer:
The answer is C because they are both equal and they are in the same spot
Step-by-step explanation:
( This is for question number 1)
For number two it’s B) SAS
Answer:
1) C 2) B
Step-by-step explanation:
1) Qual a área lateral do prisma triangular regular, cuja aresta da base mede 5 cm e a altura 10 cm ? *
1 ponto
Imagem sem legenda
a) 50 cm²
b) 100 cm²
c) 150 cm²
d) 200 cm²
2) Um prisma triangular regular tem a aresta da base igual à altura. Calcular a área total do sólido, sabendo-se que a área lateral de uma das faces é 10 m². *
1 ponto
a) 5 (√3 + 6) m²
b) 2√3 + 36 m²
c) 56 m²
d) 2 (√3 + 6) m²
Answer:
1) c) 150 cm²
2) a) 5 (√3 + 6) m²
Step-by-step explanation:
1) A fórmula para a área lateral do prisma triangular regular é
L.A = Perímetro × Altura
Perímetro = 3 × borda da base
L.A = 3 × 5 cm × 10 cm
L.A = 150cm²
Opção c. 150cm² é a opção correta²
2) Diz-se na pergunta que a área lateral de uma das faces = 10m²
A área lateral de todo o prisma = 3 × 10m²
= 30m²
Onde a borda da base = altura
A área da superfície lateral de uma das faces é: 10m² = Borda da base × Altura da base
Portanto, Altura = √10m
= Borda da base = √10m
A área de superfície total de um prisma triangular é:
2B + Ph
Ph = área de superfície lateral
B = Área de Base
2 (Área da Base) = 2( Borda da Base² × √3/4)
2 (Área da Base) = 2((√10)² × √3 / 4)
2 (Área de Base) = 2(10√3/4)
= 20√3/4
2 (Área da Base) = 5√3 m²
A área de superfície total de um prisma triangular é:
2B + Ph
= 5√3 m² + 30 m²
= 5 (√3 + 6) m²
Divide:
3
8
÷
5
12
The quotient is .
Answer: 9/10
Step-by-step explanation:
3
8
÷
5
12
=
9
10
Result in decimals: 0.9
Calculation steps:
3
8
÷
5
12
=
3
8
×
12
5
=
3 × 12
8 × 5
=
36
40
=
36 ÷ 4
40 ÷ 4
=
9
10
Answer:
9/10
Step-by-step explanation:
i got it right
Round 2,946 to the nearest thousand
Answer:
3,000
Step-by-step explanation:
Round up when the place value is greater than or equal to 5. 9>5
Answer:
3,000
Step-by-step explanation:
anytime it says round to the nearest thousand you look at the number right of the thousandth , or any number their asking about. if it is 4 and under round down. 5 and up you round up.
I really need help with this ?
15 ounces
2.5 servings
Answer:
6 ounces per serving
Step-by-step explanation:
If you divide 15 ounces by 2.5 servings, you get 6 ounces per serving. I guess this is what you are trying to find, and hopefully it helps!
Round off the following numbers to 2 significant figures.
156
Answer:
your answer would be 160
4 A photographer enlarges a picture to
hang on the wall. The original picture is
5 inches long and 4 wide. The new
picture is 22 inches long and 17.6 inches
wide. What scale factor did the
photographer use?
I
Answer:
He enlarged the photo by 4.4 times than the original size.
Step-by-step explanation:
22/5=4.4
4.4*4=17.6
4.4*5=22
PLZ HELP THIS IS DUE SOON!!!!!!! Divide. Round to the nearest hundredth if necessary.
To the nearest hundredth, 80.88÷8.425 is_______
Answer:
10
Step-by-step explanation:
when you divide 80.88 by 8.425 you get 9.6
and since youre rounding, you can round up 6 because its higher than 5
and your final answer should be 10.
hoped this helped! :)
Employees of a painting service paint the interior walls of homes and office buildings. The following table shows the number of cans of paint the employees use, and the number of square feet they cover. which equation describes the relationship between the number of cans of paint used, and the number of square feet that are covered?
Answer:
Can you give the chart?
Step-by-step explanation:
Answer:
Y=375x
Step-by-step explanation:
Thats it
Please help what Is
1/5 x -9.5
Answer:
-1.9
Step-by-step explanation:
Hope this helps!
Answer:
-1.9
Step-by-step explanation:
0.2 x -9.5 = -1.9