Answer:
[tex]f(-1) = -10[/tex]
[tex]f(0) =- 8[/tex]
[tex]f(2) = 4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 6x - 4[/tex] --- [tex]x < 0[/tex]
[tex]f(x) = 6x - 8<0[/tex] -- [tex]x \ge 0[/tex]
Solving (a); f(-1)
Here [tex]x= -1[/tex]
[tex]-1 < 0[/tex], so:
[tex]f(x) = 6x - 4[/tex]
[tex]f(-1) = 6 *-1 -4[/tex]
[tex]f(-1) = -10[/tex]
Solving (b); f(0)
Here [tex]x = 0[/tex]
[tex]0 \ge 0[/tex], so:
[tex]f(x) = 6x - 8[/tex]
[tex]f(0) = 6*0 - 8[/tex]
[tex]f(0) =- 8[/tex]
Solving (c) f(2)
Here [tex]x = 2[/tex]
[tex]2 \ge 0[/tex], so:
[tex]f(x) = 6x - 8[/tex]
[tex]f(2) = 6*2 - 8[/tex]
[tex]f(2) = 4[/tex]
Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.
Answer:
a=0
Step-by-step explanation:
x²-2x+y²-4y-4=0
(x²-2x+1)+(y²-4y+4)-9=0
(x-1)² + (y-2)² = 3²
Center: (1,2) radius: 3
(1,2) on line 2x-y+a=0
2*1 - 2 + a = 0
a = 0
help please please help
Answer:
24/35
Step-by-step explanation:
Hope this helps!:)
Write an equation in POINT-SLOPE for a line parallel to y=-2/3x+1 and goes through (5,-2)
Answer: y-(-2)=-2/3(x-5)
Step-by-step explanation:y-y1=m(x-x1)
Plug-in
A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 200 bacteria that grow at a rate of 2% per hour. He will check on the bacteria every 7 hours. How many bacteria will he find in 7 hours? Round your answer to the nearest whole number.
The population of the bacteria after 7 hours is 230 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 200 bacteria, hence
a = 200
The bacteria grow at a rate of 2% per hour, hence:
b = 100% + 2% = 1.02
The exponential equation becomes:
y = 200(1.02)ˣ
After 7 hours:
y = 200(1.02)⁷ = 230
The population of the bacteria after 7 hours is 230 bacteria.
Find out more at: https://brainly.com/question/12490064
I don’t understand this question can you please help me ?.
Answer:
Girl: YES = 12 ; NO = 38
Boy: YES = 29 ; NO = 21
Total: YES = 41 ; NO = 59
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
simplify 8x-5-10x+7 GCF
Answer:
-2x + 2
Step-by-step explanation:
Help help help help math
Answer:
<6 = 158°
Step-by-step explanation:
we know a = 6
22 + a = 180
a = 180 - 22
a = 158
What is the equation of this line?
y=6x−14
y=14x−6
y=6x−4
y=4x−6
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
A 30-foot string of lights will be attached to the top of a 24-foot pole for a holiday display. How far from the base of the pole should the end of the string of lights be anchored?
Answer:
6
Step-by-step explanation:
Isn't it 6 because that the distance between 30 and 24
(2+i)(4-i)
Write it out in the form of a + bi
Can you guys help me out please?
Answer:
9+2i
Step-by-step explanation:
FOIL method, see attached pic
factor and solve the zeros for the following x^2+10x-75=0
6 wholes and 1/3 converted into decimal?
Answer:
6 is a whole number.
[tex]\frac{1}{3}[/tex] is approximately equal to 0.333, but this is a repeating decimal.
Find the slope of the line that passes through (19, 72) and (20, -1).
Step-by-step explanation:
please mark me as brainlest
The width of a rectangle is 6x−6.5 feet and the length is 6.5x+7 feet. Find the perimeter of the rectangle.
Answer: 25x+1
Step-by-step explanation:
We cam make an equation to find the perimeter, [tex]2(6x-6.5)+2(6.5x+7)[/tex].
then we can simplify it to [tex]12x-13+13x+14[/tex], which we can then further simplify to 25x+1
Three cards are dealt from a shuffled standard deck of playing cards. Find the probability that the first card dealt is red, the second is black, and the third is red. (Enter your probability as a fraction.)
There are 52 cards in a deck, half the cards aware red and half the cards are red.
First card being red is 26/52 = 1/2
After the first card is dealt there are 51 cards left and 26 are black so dealing a black card = 26/51
After 2 cards are dealt there are 50 cards left and 25 red ones left. The probability would be 25/50 = 1/2
The probability of all 3 happening = 1/2 x 26/51 x 1/2 = 13/102
Answer: 13/102
Mark used 14 bananas, 15 oranges, and 24 strawberries in his fruit salad.
Dani used 7 bananas, 9 oranges, and 12 strawberries. Did Mark and Dan
use the same ratio of bananas to strawberries? *
Answer:
yes-
Step-by-step explanation:
im not to sure if its right but
7+7=14
12+12=24
In 2020 researchers took random samples to compare the proportion of adult females to the proportion of adult males who use 2 or more credit/debit cards. The adults were aged 21 and older and they lived in all areas of the U.S. Based on the data collected, the researchers computed a 96 percent confidence interval for the true difference between the proportions of adult females minus the proportion of adult males who use 2 or more credit/debit cards. The confidence interval is: (0.013, 0.049). Assume all checks have been verified.
Question:
Choose the best answer below concerning the confidence interval for the difference between the true proportions of adult females minus the true proportion of adult males who use 2 or more credit/debit cards.
Using the z-distribution, it is found that the correct option is:
[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
A confidence interval is given by:
[tex]p \pm zs[/tex]
In which:
p is the estimate of the proportion.z is the critical value.s is the standard error.In this problem, the proportions are:
A proportion [tex]p_1[/tex] in a sample of size [tex]n_1[/tex].[tex]p_2[/tex] in a sample of size [tex]n_2[/tex].Hence, the standard errors are:
[tex]s_1 = \sqrt{\frac{p_1(1 - p_1)}{n_1}}, s_2 = \sqrt{\frac{p_2(1 - p_2)}{n_2}}[/tex]
When two proportions are subtracted, the estimate is the subtraction of proportions, while the standard error of the subtraction is the square root of the sum of each standard error squared, hence:
[tex]p = p_1 - p_2[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
Thus, the interval is:
[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
A similar problem is given at https://brainly.com/question/12517818
How do you solve this
Answer:
x > 3
Step-by-step explanation:
And then, I believe you just need to solve that answer. But I'm not sure tho
HELP PLS ANSWER IT FR FR
A The results of a survey question “How many minutes does it take you to eat breakfast?” are shown. Which of the following charts represents the given data?
Answer:
Chart A
Step-by-step explanation:
Directions: Simplify the following expressions. 1. (3x-10)² 6. (-15y + 3)² 7. (q-2r) (q + 2r) 8. (m-6)³ 9. (u−5)(u+ 5) 10. (x + 2) ³ 2. (12az-11b)² 3. (3b² + 2v) ( (3b²-2v) 4. (2v + 3w)³ 5. (2t+4y) (41²-8ty + 16y2)
Answer:
1. 9x^2-60x+100
6. 225y^2-90y+9
7. q^2-4r^2
9. u^2-25
10. x^3+6x^2+12x+8
2. 144a^2z^2-264abz+121b^2
3. 9b^4-4v^2
4. 8v^3+36^2w+54vw^2+27w^3
5. -16t^2y+64y^3+3362t+6724y
Step-by-step explanation:
There you go
Can someone please help me
Answer:
that is so hard sorry
A study of more than 3,000 toco toucans found that their weights were approximately Normally distributed, with a mean
of 20 ounces and a standard deviation of 2.3 ounces. Let Y be the weight of a randomly chosen toco toucan. Which of
the following correctly interprets the value of P(Y < 16)?
Find the Z-table here.
O P(Y< 16) = 0.50. About 50% of all toco toucans weigh less than 16 ounces.
OP(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces.
O P(Y < 16) = 0.959. About 95.9% of all toco toucans weigh less than 16 ounces.
P(Y < 16) = 0.041. About 4.1% of the toco toucans from this group weigh less than 16 ounces.
O P(Y< 16) = 0.959. About 95.9% of the toco toucans from this group weigh less than 16 ounces.
Using the normal distribution, it is found that the correct option is:
P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ouncesIn a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 20 ounces, hence [tex]\mu = 20[/tex].Standard deviation of 2.3 ounces, hence [tex]\sigma = 2.3[/tex]P(Y < 16) is the p-value of Z when X = 16, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 20}{2.3}[/tex]
[tex]Z = -1.74[/tex]
[tex]Z = -1.74[/tex] has a p-value of 0.041.
This is valid for the entire population, hence, the correct interpretation is:
P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ouncesA similar problem is given at https://brainly.com/question/24663213
40 people attended the play. 15 were women, 10 were men, and 15 were children. what fraction were men?
Answer:
10/40 were men, or simplified the amount is 1/4 of the total is men
1[tex]\sqrt{5}[/tex]*3[tex]\sqrt{5}[/tex]
Answer:
[tex]1\sqrt5 \times 3\sqrt 5 =(1\times3)(\sqrt5\times\sqrt5) = 3\times (\sqrt5)^2=3\times 5=15[/tex]
hehehejejwjjejejjejejwkwkwkekekejjeue
Answer: The last answer is correct.
Step-by-step explanation:
Find the diameter of a circle with a circumference of 34.54 yards. Use 3.14 for π.
Answer:
Step-by-step explanation:
C = π d
3.14 d = 34.54
d = 11 yards
Answer:
Step-by-step explanation:
C = πD
D = C/π
D = 34.54 / 3.14
D = 11 yards
Solve for x given that AC = 4, CE = 8, AB = X - 8, and BD = 2.
What is the measurement of AB?
What is the slope of this graph?
a.4
b.−4
c.14
d.−14
Answer:
B
Step-by-step explanation:
just look at where the line crosses the coordinate plane
Luke has 75 Vbucks in his account he spends 5 Vbucks every 2 hours. At this rate how many hours did it take for all 75 V bucks to be drained from his account?
Answer:
30
Step-by-step explanation:
i did the math lol
Answer:
Can I have some vbucks?
How many factor pairs does 15 have
Answer:
It has a total of 4 the factors are 1,3,5, and 15
