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
What is the solution for this inequality?
8x<-32
Answer:
8x<-32
x<4
Step-by-step explanation:
divide both of these numbers by 8
Step-by-step explanation:
rhrufh38299917489xjqgs8cjrnjci
3 plus 2 =
wzsxdcfgvbhjnkrdfvgbh
Answer:
5
Step-by-step explanation:
three plus two equals 5
Answer:
5
Step-by-step explanation:
3+2=5
:3
an expression equivalent to –8(2s–5)–4
Answer:
The answer:-16s+40-4
Answer:
-4 x (4s - 9)
Step-by-step explanation:
At the produce store you can buy 4 bags of bananas for $29.88. How much would it cost if u were to buy 6 bags?
Answer:
44.82
Step-by-step explanation:
29.88 divided by 4 is 7.47 times 6 is 44.82
Answer:
44.82$
Step-by-step explanation:
4:29.88
6:x
4x=179.28
x=44.82$
A quality control manager is inspecting four digital scales to see if they accurately reflect a weight of 0 ounces. The table shows the weight displayed on four empty scales.
Empty Scale Weight Displays
Scale 1
–1 ounce
Scale 2
–2 ounces
Scale 3
0 ounces
Scale 4
–1 ounce
What is the average error in the scale displays?
Answer:
-1 Ounces
Hope this was helpful!
Answer:
-1 ounce
Step-by-step explanation:
A store pays $122 for a tennis racquet. If the store marks the tennis racquet up 30%, how much are they selling the racquet for?
Answer:
$158.60 for the racquet
A primatologist believes that rhesus monkeys possess curiosity. She reasons that, if this is true, then they should prefer novel stimulation to repetitive stimulation. An experiment is conducted in which 12 rhesus monkeys are randomly selected from the university colony and taught to press two bars. Pressing bar 1 always produces the same sound, whereas bar 2 produces a novel sound each time it is pressed. After learning to press the bars, the monkeys are tested for 15 minutes, during which they have free access to both bars. The number of presses on each bar during the 15 minutes is recorded. The resulting data are as follows:What is the alternative hypothesis? In this case, assume a nondirectional hypothesis is appropriate because there is insufficient empirical basis to warrant a directional hypothesis. What is the null hypothesis? Using ? = 0.052 tail, what is your conclusion? What error might you be making by your conclusion in part c?
Subject Bar 1 Bar 2
1 20 40
2 18 25
3 24 38
4 14 27
5 5 31
6 26 21
7 15 32
8 29 38
9 15 25
10 9 18
Answer:
It is statistically significant that mean of difference scores is different from 0
Step-by-step explanation:
Subject Bar 1 Bar 2 Difference
1 20 40 20
2 18 25 7
3 24 38 14
4 14 27 13
5 5 31 29
6 26 21 -5
7 15 32 17
8 29 38 9
9 15 25 10
10 9 18 9
Mean of difference =[tex]\frac{Sum}{10}=\frac{123}{10}=12.3[/tex]
Standard deviation s =[tex]\sqrt{\frac{(x_i-\bar{x})^2}{n}}=8.93[/tex]
Null Hypothesis : mean of difference scores is 0 : [tex]H_0:\mu=0[/tex]
Alternate Hypothesis : mean of difference scores is different from 0 : [tex]H_a:\mu \neq 0[/tex]
We will use t test for unpaired
[tex]t = \frac{x-\mu}{\sqrt{\frac{s^2}{n-1}}}\\t = \frac{12.3-0}{\sqrt{\frac{8.93^2}{10-1}}}\\t=4.13[/tex]
Level of significance (two tailed) =[tex]\alpha = 0.05[/tex]
Degree of freedom = n-1 = 10-1 =9
Using calculator
The p-value is .002559.
p value < α
So ,we reject null hypothesis
So, It is statistically significant that mean of difference scores is different from 0
can some one help me please
Which expression is equivalent to (fa)(5)?
Answer:
ylyiky lio
Step-by-step explanation:
GEOMETRY Write and solve an equation to find the value of x so that it figures have the same area.
Answer:
C. x=7 and the expression is (5+x)9=x*(15 3/7)
Step-by-step explanation:
The width of the first shape is 5+x and the length is 9
The width of the second shape is x and the length is 15 3/7
You want the same area of the figures, so they are equal. And the formula for the area of a rectangle is l*w. So...
(5+x)9=x*(15 3/7)
45+9x=(108/7)x
315+63x=108x
63x-108x=-315
-45x=-315
x=7
So, your answer is C.
what is the gcf of x5 and x7
Answer:
Step-by-step explanation:
the gcf of that is X
what is the decimal value of 3/5
Answer:
0.6
Step-by-step explanation:
Just divide 3 by 5. Fractions are also basically a division problem.
Hope this helps! :)
If (4,-9) is rotated 270° about the origin the new point would be :
A. (-9,-4)
B. (9, 4)
C. (-4,9)
D. (-9,4)
-21x^2+35x=0
Solve for x
Answer:
Step-by-step explanation:
exact form: x=63/5
Please help this one will give you extra points
THE ANSWER IS B
A: 1/3*6,000,000 does NOT equal 18,000,000
C: However, 2/5*6,000,000 does equal 2, yet, $2.4*10^3 is a FALSE STATEMENT and it doesn't make sense
D: Not ALL statements are correct
Mr. paulson has been on a train for 4 hours and traveled 320 miles. At this rate, how far will he traveled in 5 hours?
Answer:
at 5 hours he will have traveled 400 mi
Step-by-step explanation:
320÷4= 80
320=4, then 400=5
hope this helps
it took jaivin 18 minutes to jog 4 laps . how many minutes did it to jog each lap at this rate?
Answer:
4.5 minutes for each lap
Step-by-step explanation:
18 min/ 4laps
simplify to 9min/2laps which equals 4.5 mins/lap
If you do this question I will give you brainlest I know the right Awnser just want to test you help me out and I’ll give you brainlest and points
3% Although I'm probably wrong.
Answer:
13 - 10 = 33 & 13The proportion, x = 23.Step-by-step explanation:
13 (i.e 100%) - 10 (i.e 77%) = 3 (i.e 23%)difference is 3 & original amount is 13The proportion, x = 23%The ratio black to blue bags is 5 to3 if there is 10 black bags how many blue bags?
Answer: 6
Step-by-step explanation:
Look at the incomplete multiplication problem below.
638 times 56 = 3828. 3828 + question mark = blank
What value is missing?
31,500
31,900
35,280
35,728
Answer:
B
Step-by-step explanation:
Prime factorization of 60?
6, or 15,or 3,or 9
please help!!
Answer:
The real Prime factors of 60 are 2, 3 and 5 so the answer should be 3
y - 5 = 1/10 (x – 10)
How do you rewrite the equation in slope-intercept form?
Answer.
Y=|10x-100|+5
Jack has let out 40 m of kite string when he observes that his kite is directly above Jill. If Jack is 25 m from Jill, how high is the kite?
Answer:
Use this formula:
A^2 + B^2 = C^2
40 is the hypotenuse of the triangle:
A^2 + 25^2 = 40^2
A=31.2 meters (Approx)
For the function h (2) = 9+ 6x , what is the domain of function h if the range is
{-12, -3, 15, 24}?
Answer:
x = 1/6 (h(2) - 9), h(2) element R
Conversion Formulas
K = Cº + 273
Camille has no more than $20.00 to spend each week for lunch and bus
fare. Lunch costs $3.00 each day, and bus fare is $0.75 each ride. Write an inequality for
this situation. Can Camille buy lunch 5 times and ride the bus 8 times in one week?
Answer:
No, because 5 x 3 is 15 and 8 x .75 is 6.So you add 6 and 15 then you get 21 so she would need an extra dollar
PLEASE ANSWER I WILL MARK BRAINLEIST
The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the other leg of the triangle?
Group of answer choices
3
Square root of 21
Square root of 29
7
Answer:
It is the Square root of 21
Step-by-step explanation:
In a lab a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio
of the amount of the 30% solution to the amount of 5% solution used to create the 10% solution?
1.3
1:4
1.5
1.6
Done
Intro
Answer:
1:4
Step-by-step explanation:
If x is the volume of 30% acid solution, and y is the volume of 5% acid solution, then:
0.30x + 0.05y = 0.10(x + y)
0.30x + 0.05y = 0.10x + 0.10y
0.20x = 0.05y
x/y = 0.05/0.20
x/y = 1/4
I will mark u as brainlest if you help me lots of points the one I choose was probably not right it was just right there
Answer:
2/5
Step-by-step explanation:
Why? Because probability is just possible values over total values, there is 4 red sections and 10 total sections, so the probability is 4/10 = 2/5.
Answer:
[tex]the \: poberbility \:is = \: \frac{number \: of \: red}{total \: number \: of \: color} = \frac{4}{10} = \frac{2}{5} [/tex]
I bought 5 1/2 yards of fabric. I used 2/3 of the fabric to make curtains. How much fabric did i use?
Answer:
you used 4 5/6
Step-by-step explanation:
5 1/2 and 2/3 need to be equivalent so change them to 5 3/6 and 4/6.
then subtract :)
hope this helps doll! :3