Answers
Answer:
good news, the second one is relatively easy because it can be factored to (2x+1)(2x-3) which means that number two has solutions of -1/2 and 3/2
but for number one you have to either use the quadratic equation cause I've tried using synthetic division or just use the second equation to derive the first solutions so I tried move the graph up by two units and found that the intercepts are approximately (1+-√2)/2 or 1/2+-1/√2 for 4x^2-4x-1
Related Questions
the price increase of a set of golf clubs is from $250 to $750. What is the percent increase?
Answers
Answer:
300%
Step-by-step explanation:
3 times 250 is 750
7.5% of what is 7.38?
Answers
Answer:
What =98.4
Step-by-step explanation:
Of means multiply and is means equals
7.5% * What = 7.38
Change to decimal form
.075 * what = 7.38
Divide each side by .075
.075 What /.075 = 7.38/.075
What =98.4
Answer:
the answer for this question is 98.4
Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a CD player. Let A1 be the event that the receiver functions properly throughout the warranty period, A2 be the event that the speakers function properly throughout the warranty period, and A3 be the event that the CD player functions properly throughout the warranty period. Suppose that these events are (mutually) independent with P(A1)= .95, P(A2) = .98, and P(A3) = .80.a. What is the probability that all three components function properly throughout the warranty period?b. What is the probability that at least one component needs service during the warranty period?c. What is the probability that all three components need service during the warranty period?
Answers
Answer:
that is alot the prob. is 20
Step-by-step explanation:
Using tan(A+B), find the exact value of tan(105).
Answers
Answer:
-2-√3
Step-by-step explanation:
The sum of angles formula for tangent is ...
tan(A+B) = (tan(A) +tan(B))/(1 -tan(A)tan(B))
For the desired angle, we can use A=45°, B=60°. Then we have ...
tan(105°) = (tan(45°) +tan(60°))/(1 -tan(45°)tan(60°))
The tangent values we need are ...
tan(45°) = 1
tan(60°) = √3
Then our tangent is ...
tan(105°) = (1 +√3)/(1 -1·√3) = (1 +√3)²/((1 -√3)(1 +√3)) = (4+2√3)/(-2)
tan(105°) = -(2+√3)
Jonas is buying a three-day supply of camping snacks. An energy bar costs $1.50, and a bag of dried
mangoes costs $3.00. Jonas plans to have 7 snacks per day and can spend up to $45.00.
If p is the number of energy bars he can buy, and m is the number of bags of mangoes he can buy,
which system of equations and inequalities can be used to represent the possible number of each
snack he can buy?
p+m
21
=
21
p+m = 45
1.5p + 3m
p> 0
m >0
1.5p + 3m < 45
p> 0
m 2 0
1.5p + 3m
3p + 1.5m
p20
m 20
p+m = 21
8p + 1.5m
p> 0
m >0
Answers
Answer:
P+m=21
1.5p + 3m < 45
p > 0
m > 0
Step-by-step explanation:
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answers
Answer:
Step-by-step explanation:
B or c
A shoe manufacturer was investigating the weights of men's soccer cleats. He felt that the weight of these cleats was less than the average weight of 10 ounces. After a random sample of 13 pairs of cleats, he found that sample mean was 9.63 and the standard deviation was .585. At a significance level of .05, can it be concluded that the researcher was correct?
Show work
Answers
Answer:
The conclusion is that the researcher was correct
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 13[/tex]
The sample mean is [tex]\= x = 9.63[/tex]
The standard deviation is [tex]s = 0.585[/tex]
The significance level is [tex]\alpha = 0.05[/tex]
The Null Hypothesis is [tex]H_o : \mu = 0[/tex]
The Alternative Hypothesis is [tex]H_a = \mu < 10[/tex]
The test statistic is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }[/tex]
Substituting values
[tex]t = \frac{9.63 - 10 }{\frac{0.585}{\sqrt{13} } }[/tex]
[tex]t = - 2.280[/tex]
Now the critical value for [tex]\alpha[/tex] is
[tex]t_{\alpha } = 1.645[/tex]
This obtained from the critical value table
So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected
The conclusion is that the researcher was correct
Today a shoe store it’s at 20% of the price of a pair shoes and for the next three days it will take 20% of the previous days price if the price of a pair of shoes yesterday was $200 what will be the price of the pair of shoes three days from now
A.160.00
B.128.00
C.102.40
D.81.92
Answers
If the price of the shoe yesterday was $200 and on this day 20 percent has been taken thus it will have $160. In the next 3 days if another 20 percent will be taken out from the previous $160 then the final answer is $128.
ps.. can u give brainly pls :3
y varies directly as x.y = 52 when x=4. Find y when x= 10.
y=
(Simplify your answer.)
Answers
Answer:
9ha
shhsi a sa.anjwkw a zkaq
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply
Answers
HELP ME PLEASE , ALOT OF POINTS, CHECK DOCUMENT! Show work
Answers
Answer:
x=8
Step-by-step explanation:
log4( x-6) +log4(x) = 2
We know that loga + log b = log (ab)
log4( x-6)(x) = 2
Raise each side to the base of 4
4^log4( x-6)(x) = 4^2
( x-6)(x) = 16
Distribute
x^2 -6x = 16
Subtract 16 from each side
x^2 -6x-16 = 0
Factor
(x-8) (x+2) =0
Using the zero product property
x-8=0 x+2 =0
x=8 x=-2
Checking, we cannot have the log of a negative number so -2 is not a solution
Answer:
x = 8
Step-by-step explanation:
log4(x - 6) + log4(x) = 2
log4[(x - 6) × x] = 2
x² - 6x = 4²
x² - 6x - 16 = 0
x² - 8x + 2x - 16 = 0
x(x - 8) + 2(x - 8) = 0
(x + 2)(x - 8) = 0
x = 8, -2
Log of negative numbers do not exist, so x is only 8
A tennis ball machine shoots 21 forehands 25 backhands and 9 lobs if a player missed 6 forehands 17 backhands and 2 lobs how many balls were hit
Answers
Answer:
30
Step-by-step explanation:
55 - 25 = 30
A firm produces two types of earphones per year: x thousand of type A and y thousand of type B. The cost function (in thousands of dollars) is given by
C(x,y)=110+80x+130y
If the selling price of type A is p and the selling price of type B is q, the price-demand equations are
p=120-3x+y
q=210+x-7y
Determine how many of each type of earphone should be produced per year to maximize profit? What should be the selling prices p and q? What is the maximum profit?
Answers
Answer:
9000 A and 7000 B should be producedp = 100, q = 170$350,000 is the maximum profitStep-by-step explanation:
We assume that "p" and "q" are given in dollars, so that the profit function (in thousands of dollars) can be written:
P = xp +yq -C(x, y)
Profit will be maximized when the partial derivatives of P with respect to x and y are both zero:
∂P/∂x = p +x(∂p/∂x) +y(∂q/∂x) -∂C/∂x = 0
(120 -3x +y) +x(-3) +y(1) -80 = 0
-6x +2y +40 = 0
3x -y = 20 . . . . put in standard form
and ...
∂P/∂y = x(∂p/∂y) +q +y(∂q/∂y) -∂C/∂y = 0
x(1) +(210 +x -7y) +y(-7) -(130) = 0
2x -14y +80 = 0
x -7y = -40 . . . . put in standard form
__
The solution to these simultaneous equations can be found a variety of ways. Using Cramer's Rule, we have ...
x = ((-1)(-40) -(-7)(20))/(-1·1-(-7)(3)) = 180/20 = 9
y = (20(1) -(-40)(3))/20 = 140/20 = 7
9000 type A and 7000 type B earphones should be produced.
__
The corresponding selling prices are ...
p = 120 -3(9) +7 = 100
q = 210 +9 -7(7) = 170
The selling prices should be ...
p = $100, q = $170
__
The maximum profit is ...
P = xp +yq -C(x, y) = (9)(100) +(7)(170) -(110 +80(9) +130(7))
P = 9(100 -180) +7(170 -130) -110 = 180 +280 -110
P = 350
The maximum profit is $350,000.
A sculpture sits on a pedestal in the shape of a square prism. The side lengths of a base of the prism are 3 feet. The height of the prism is 4 feet. The museum director wants to cover all but the underside of the pedestal with foil that costs $0.22 per square foot. How much will the foil cost?
Answers
Answer:
Total cost of covering the pedestal is $12.54.
Step-by-step explanation:
The pedestal is a square prism so top and bottom are of square shape.
Hence, we have here length = width
We know that the Total Surface Area of a Prism is:
[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]
Where l is length,
w is width and
h is height of prism
We know that here w = l = 3 feet
and h = 4 feet
Also, underside of pedestal is not to be covered.
The underside of pedestal is square type.
So,
[tex]\text{Required Total Surface Area = } l\times w+ 2\times w \times h+2\times h \times l[/tex]
[tex]\Rightarrow 3 \times 3 + 2 \times 3 \times 4 + 2 \times 3 \times 4\\\Rightarrow 9 + 24 + 24\\\Rightarrow 57\ ft^{2}[/tex]
Cost of cover per square foot = $ 0.22
Total cost of [tex]57\ ft^{2}[/tex] [tex]\Rightarrow 0.22 \times 0.57 = \$12.54[/tex]
what are three segments from this figure?
Answers
Answer:
AD, DA, ED, DE
Step-by-step explanation:
A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes. The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts. What is the probability of randomly selecting an item with white or red on it?
A) 1/4 B) 3/10 C)1/2 D) 7/10
Answers
Answer:
its 7/10
Step-by-step explanation:
The probability of randomly selecting an item with white or red on it is 3/10.
What is the probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes.
The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts.
The probability of randomly selecting an item with white or red on it is given by;
[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\[/tex]
Total items = 2 + 1 + 3 + 2 + 1 + 1 = 10 itens.
Substitute all the values in the formula
[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\\\\rm Probability=\dfrac{3}{10}\\\\[/tex]
Hence, the probability of randomly selecting an item with white or red on it is 3/10.
Learn more about probability here;
https://brainly.com/question/20849420
#SPJ2
£48 is divided between Alf and Ted in the ratio of 7:9. How much does Alf receive?
Answers
Now you do 48 divided by 16 which is 3 to get one price. Since Alf is divided by 7 you multiply 3 with 7. So the answer would be £21
7:9=7+9=16
Alf is 7 which means 7/16*£48=6.125
Every year, census researchers collect data from 850 public and private hospitals across the United States. Which issue will invalidate the conclusion of the hypothesis test? Group of answer choices The data comes from only 850 hospitals in the U.S. when there are 5,700 hospitals in the U.S. Researchers received more data from public hospitals than from private hospitals. The data is selected by choosing the first 850 hospitals from an alphabetized list.
Answers
Answer:
Option C
Step-by-step explanation:
For a better, clear and unbiased sampling, choosing randomly might not allow for a biased sampling. Choosing in an alphabetical order might not give a representative of the whole hospitals both private and public, thus invigilator the conclusion of our hypothesis test.
In a class of 35 students, 15 are seniors, 20 are females, and 7 are both a senior and a female. If I choose a student at random, what is the probability I choose a female or a senior?
Answers
Answer:
1Step-by-step explanation:
15 + 20 / 35
35/35 = 1 (certain)
The probability of choosing a female or senior is 1, because these are the only two groups represented in the class.
I'm always happy to help :)
Answer:
1.
Step-by-step explanation:
Prob ( Choosing a female) = 20/35
Prob ( Choosing a senior) = (15)/ 35 = 15/35
Requires probability = 20/35 + 15/35
= 35/35
= 1.
(-3x + 15) + (-3x + 2)
Answers
Answer:
If you are looking for a simplified equation, then the answer is -6x + 17
Step-by-step explanation:
(-3x + 15) + (-3x + 2)
Because you are only adding and subtracting here, you can take out the parentheses.
-3x + 15 -3x + 2
= -6x + 17
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answers
Answer:
its C
Step-by-step explanation:
Hope this helps!!
Answer:
B. Week 6
Step-by-step explanation:
[tex]f(x) = 2^{x}[/tex]
We know that f(x) represents number of subscribers, x represents week number. So plug in 64 for f(x).
[tex]64 = 2^{x}[/tex]
Uh-oh, how do we solve this? We need to go from exponential form to logarithmic form.
[tex]64 = 2^{x}[/tex]
log₂(64) = x
We're basically asking the question: 2 to the what equals 64? And we can plug this into the calculator as log₂(64) (on TI-84, it's MATH->logBASE(). Or you can just think about it:
2 x 2 x 2 x 2 x 2 x 2 = 64.
There are 6 2s, so 6 is the answer.
A = {1, 2, 5, 7}
B = {3, 4, 6, 7}
C = {0, 5, 8, 9}
Find A U B U C.
Answers
Answer: In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.
A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
Step-by-step explanation:
A = {1, 2, 5, 7}
B = {3, 4, 6, 7}
C = {0, 5, 8, 9}
A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
Peter rolls a fair dice 114 times. How many times would Peter expect to roll a number greater than 1?
Answers
Answer:
A dice of six faces has 5 numbers bigger than 1 (from 2 to 6).
Then, the number Peter is expecting is : 114 x (5/6) = 95 (times)
Hope this helps!
:)
subtract 6066 from 294
Answers
Answer:
-5772
Step-by-step explanation:
294-6066=-5772
Answer:
The answer would be 2,772
Step-by-step explanation:
6,066 - 294 = 2,272
I hope that helps!!:)
Describe how to graph point K at (5, 4) the steps
Answers
Answer:
here is ur answer
In the diagram below, point P is circumscribed about quadrilateral ABCD. What is the value of x? (Pls answer I give lot of point)
Answers
Answer:
D. 50
Step-by-step explanation:
130+x=180
x=50
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answers
Answer:
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
what is the area of a circle with the equation (x − 6)² + (y + 2)² = 17 ?
Answers
Answer:
17π
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
Area of a circle is:
A = πr²
r² = 17, so A = 17π.
Giving brainliest for CORRECT awnser.
Answers
Answer:
B.
Step-by-step explanation:
So, first off, the quadratic formula is -b plus or minus sqrt(b^2-4ac)/2a. Plug the equation given, and you get B.
Solve: 3x
+ 4 = 5x - 4x - 8
Answers
Answer:
3x = - 18
Step-by-step explanation:
1. Simplify this equation in terms of what is already provided:
3x + 4 = 5x - 4x - 8 ⇒ 3x + 4 = x - 8
2. Now subtract 3x from either side, at the same time adding 8 to either side: 3x + 4 = x - 8 ⇒ 4 = -2x - 8 ⇒ 12 = -2x
3. Divide -2 on either side to isolate the x, and recieve it's value:
12 = -2x ⇒ x = 12/-2 ⇒ x = -6
4. The question demads for the value of 3x, so simply multiply the known value of x by 3, as such: x = -6 ⇒ 3x = -6 * 3 = -18
