Answer: a = 1.25, b = 2.5, c = 1.25
Step-by-step explanation:
Use vertex form and substitute a point into it (1, 5)
5 = a(1 + 1)^2 + 0
5 = a(2)^2 + 0
5 = 4a
a = 5/4
y = 5/4 (x + 1)^2
y = 5/4 (x^2 + 2x + 1)
1.25 x^2 + 2.5x + 5/4
Is there a "c" value otherwise it's not possible
3 (4x - 2) - 5x = 6 - 7 (-x -2)
Answer:
0=26
Step-by-step explanation:
Distribute
3(4−2)−5=6−7(−−2)
12−6−5=6-7(-x−2)
Combine like terms
12−6−5=6−7(−−2)
7−6=6−7(−−2)
Distribute
7−6=6−7(−−2)
7−6=6+7x+14
Answer
0=26
The solution to the equation 3 (4x - 2) - 5x = 6 - 7 (-x -2) does not exist
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
3 (4x - 2) - 5x = 6 - 7 (-x -2)
Open the brackets
So, we have
12x - 6 - 5x = 6 + 7x + 14
Evaluate the like terms
So, we have the following representation
7x - 6 = 7x + 20
Next, we have
7x - 7x = 20 + 6
So, we have
0 = 26
This is false
Hence, the solution is no solution
Read more about equation at
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Hi guys, how to calculate this in system?
{2a+3b=14
{5b+4a=20
Thanks,
Step-by-step explanation:
there it is
and if u need more help tell me
Find the length of the diameter of circle O. Round to the nearest tenth.
Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
4. Aaliyah swims at an average speed of 8 meters per second, how long will it
take her to complete the race of 200 meters' length? *
The math department recently purchased new learning software for their freshman math classes. The instructors want to use the learning software instead of a textbook. So they decide to study the effectiveness of the software. First they test the skills and concept mastery for a number of the freshman math students. Then they randomly divide the students into two groups. One group uses the learning software for a particular lesson and the other group uses the regular textbook. Then the instructors retest all of the students and compare the improvement in the skills and concept mastery for the two groups. What is the purpose of random assignment in this experiment? Check all that apply.
Options :
A.) To avoid bias
B. To control for confounding variables
C. To produce treatment groups with similar characteristics
D. To generalize the experiment results to all freshman math students
Answer:
To avoid bias
To generalize the experiment results to all freshman math students
Step-by-step explanation:
One of the most common problems with statistical experimental research is the issue posed by bias. Either selection bias or assignment bias. Bias creeps into our experiment when one experimental group is more favored than the other. This means that the strategy employed is not totally random. In the experimetal design explained above, students were randomly assigned to group in other to avoid bias. This random assignment ensures that all samples have equal probability of being assigned to any of the two groups.
Randomized experimental designs also allows for making a good estimate of the population parameter fromnthe sample statistic
Help please!!! Brainliest immediately!
Kylie and her family need to buy a new refrigerator. The space available for the refrigerator measures 37 in wide, 72 in high, and 24 in deep.
Which size refrigerator would be the BEST fit for the available space?
Answer:
B
Step-by-step explanation:
What is
1/3 of 24
1/4 of 24
1/6 of 24
Answer:
In math the word "of" is multiplication.
1/3 of 24 ---> 1/3 × 24 = 8
1/4 of 24 ---> 1/4 × 24 = 6
1/6 of 24 ---> 1/6 × 24 = 4
*Answers are bolded*
Hope this helps, thank you :) !!
Answer:
Step-by-step explanation:
1/3 of 24 = 7.9999
1/4 of 24 = 6
1/6 of 24 = 4
If f(x)=3x^2 and g(x)=4x+2 what is the value of (f+g)(-1)
Answer:
1
Step-by-step explanation:
first, you have to combine the two equations.
f(x)+ g(x)
3x^2 +4x+2= (that haha)
now substitute -1 for x
3(-1)^2 +4(-1)+2
(3×1) +(-4)+2
3-4+2
=1
HOPE IT HELPS YOU :)
1. Two more than the product of 3 and a number is -7.
Answer: -3
Step-by-step explanation:
2 + 3(x) = -7
-2 -2
-----------------------
3x = -9
x = -3
According to a recent warning from the FDA, grain-free food might be giving dogs a life- threatening heart problem called dilated cardiomyopathy, or DCM. Scientists interested in studying this link were trying to see if there was a difference in the average blood pressure between four different food types (expensive grain-free dog food, cheap grain-free dog food, expensive dog food with grain included, and cheap dog food with grain included). What hypothesis test would be appropriate for analyzing the above scenario?
z test of independent averages
chi-squared goodness of fit test
ANOVA
test of two proportions
paired t-test
chi-squared test of independence
t test of independent averages
Answer:
z test of independent averages
chi-squared goodness of fit test
ANOVA
test of two proportions
paired t-test
chi-squared test of independence
t test of independent averages
Step-by-step explanation:
rewrite 8/50 as a decimal
Answer:
0.16
Step-by-step explanation:
Its 0.16 because it would be easiest to make 8/50 into 16/100 to make it easier to turn into a decimal.
help me I do not know how to do is I do not have a lot of pontes so I will give 10 at is all I have
Answer:
c
Step-by-step explanation:
as far as I can see
Simplify the expression (-7 + 2)(8) =
Answer:
-40
Step-by-step explanation:
(-7 + 2)(8)
(-5)(8)
-40
find the value of v in rectangle
Answer:
Step-by-step explanation:
7v = v+12
6v = 12
v = 2
Janet is writing a book. She writes 3 pages every 2 days. If she continues at the same
pace, how long will it take her to write a 400-page book?
Which proportion could be used to solve this problem?
Each trial consists of either tossing a fair coin or rolling a fair die. You startwith tossing the coin.As long as it turns out tails you will keep tossing it. The moment it turns outheads you will stop tossing it and start rolling the die. You continue rolling the die until you get a four or a five, then you start tossing the coin again. You keep applyingthe rules described above to change from tossing the coin to rolling the die and vice versa. What is the probability that on the third trial you will toss a coin
Answer:
0.41665 = 41.665% probability that on the third trial you will toss a coin
Step-by-step explanation:
First trial: Toss the coin
The following outcomes end up with a coin being tossed on the third trial.
Tails on the first and second trial(each with 0.5 probability).
Heads on the first trial(0.5 probability) and 4 or 5 on the die on the second trial(6 sided die, so 2/6 = 1/3 = 0.3333 probability).
What is the probability that on the third trial you will toss a coin
[tex]p = 0.5^2 + 0.5*0.3333 = 0.41665[/tex]
0.41665 = 41.665% probability that on the third trial you will toss a coin
Jina walks 2.5 km every day. How far does she walk in 7 days?
Write your answer in meters.
Answer: 17500 meters
Step-by-step explanation: 7 times 2.5 is 17.5 and one meter is 0.001 kilometers so
17.5 in meters is 17500.
One way to recognize a line of symmetry is to look for a line that divides the
original image into:
A. Two congruent parts
B. Three congruent parts
C. Two perpendicular parts
D. Two intersecting parts
y+2=1/2(x+2) graph this equation!!
Answer:
See attached.
Step-by-step explanation:
3(n – 8) = -12 solve for n
plz i need the answer ASAP
Answer:
Step-by-step explanation:
Solve each equation by factoring ⁉️NEED THESE ASAP ⁉️
Answer:
3.
a=-1
a=-2
5.
n=-6
n=-3
8.
n=-5
n=-3
Step-by-step explanation:
3. separate into probable cases
[tex]a + 2 = 0\\ a + 1 = 0[/tex]
5.
[tex] {n}^{2} + 6n - 3n - 18 = 0 \\ [/tex]
factor out n from the expression
factor out -3 from the expression
[tex]n \times (n + 6) - 3(n + 6) = 0[/tex]
factor out n+6 from the equation
[tex](n + 6) \times (n - 3) = 0[/tex]
separate into probable cases
[tex]n + 6 = 0\\ n - 3 = 0[/tex]
solve the equations
[tex]n = - 6 \\ n = 3[/tex]
8.
[tex]n ^{2} + 5n + 3n + 15 = 0[/tex]
factor out n and 3 from the expression
[tex]n \times (n + 5) + 3(n + 5) = 0[/tex]
factor out n+5
[tex](n + 5) \times (n + 3) = 0[/tex]
separate into probable cases
[tex]n + 5 = 0 \\ n + 3 = 0[/tex]
solve the equations
[tex]n = - 3 \\ n = - 3[/tex]
State if each triangle is acute, obtuse,or right using Pythagorean theorem converse.
Answer:
Right triangle
Step-by-step explanation:
Properties for acute, obtuse or right triangle,
1). Given triangle will be a right triangle if,
Hypotenuse² = (Leg 1)² + (Leg 2)²
2). Triangle will be an acute triangle if,
(Largest side)² < (leg 1)² + (leg 2)²
3). Triangle will be an obtuse triangle if,
(Largest side)² > (leg 1)² + (leg 2)²
Now we apply these properties in the given triangle,
(Largest side)² = (√11105)²
= 11105
(leg 1)² = (76)²
= 5776
(leg 2)² = (73)²
= 5329
Since 11105 = 5776 + 5329 (First Property)
11105 = 11105
Therefore, given triangle is a right triangle.
glass holds 189 milliliters of juice. How many liters will 36 glasses hold?
Answer: 6804
Step-by-step explanation: If each glass holds 189 milliliters of juice and there are 36 glasses simply do 189*36, which is 6804
77006
75863
Subtract
Answer:
1143
Step-by-step explanation:
The expression 7+3x+4 represents the perimeter of the triangle. Simplify the expression.
7+3x+4 =
Answer:
-3.6
Step-by-step explanation:
Simplifying
7 + 3x + 4 = 0
Reorder the terms:
7 + 4 + 3x = 0
Combine like terms: 7 + 4 = 11
11 + 3x = 0
Solving
11 + 3x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11
Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11
Combine like terms: 0 + -11 = -11
3x = -11
Divide each side by '3'.
x = -3.666666667
Simplifying
x = -3.666666667
A contract between a manufacturer and a consumer of light bulbs specifies that the mean lifetime of the bulbs must be at least 1000 hours. As part of the quality assurance program, the manufacturer will institute an inspection program for each day's production of 10,000 units. An ordinary testing procedure is difficult since 1000 hours is over 41 days! Since the lifetime of a bulb decreases as the voltage applied increases, a common procedure is to perform an accelerated lifetime test in which the bulbs are lit using 400 volts (compared to the usual 110 volts). At such a voltage, a 1000-hour bulb is expected to last only 3 hours. This is a well-known procedure, and both sides have agreed that the results from the accelerated test will be a valid indicator of lifetime of the bulb.
The manufacturer will test the hypotheses H0 : µ = 3 versus Ha: µ < 3 at the α = 0.01 significance level with a simple random sample of 100 bulbs.
a. Describe what a Type I error would be in this context.
b. Describe what a Type II error would be in this context.
c. Which error—Type I or Type II—is likely to do more damage to the manufacturer’s relationship with the consumer? Explain.
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
In point a:
In this sense, describe what type of error I will be.
Type I error: to conclude that perhaps the mean bulb life would be less than three hours when it becomes (at least) 3 hours.
In point b:
Describe throughout this context what the Type II error becomes.
An error of type II: never assuming that its bulbs' mean lifetime is much less than 3 hours. three hours at least
In point c:
What error — type I and type II — would further impact the interaction between the manufacturer and the customer?
A Type II error is probably further problematic because it means that even the buyer will buy bulbs that do not last long.
can someone help me please ??
Answer:
[tex]-2a^2-2a+11[/tex]
Step-by-step explanation:
To solve the question, use the given values of the variables and substitute them into the given expression.
We know that [tex]C = 2a^2-5[/tex] and [tex]D = 3-a[/tex]. With these values, we need to find [tex]2D-C[/tex]. So, substitute [tex]2a^2-5[/tex] for the [tex]C[/tex] and [tex]3-a[/tex] for the [tex]D[/tex] in that expression. Then, solve:
[tex]2D-C\\\\= 2(3-a)-(2a^2-5)\\= 6-2a-2a^2+5\\= -2a^2-2a+11[/tex]
Thus, [tex]2D-C[/tex] equals [tex]-2a^2-2a+11[/tex].
What does 5 mean? What is the value of 5
What is the average rate of change for f(x) = 2X – 12 over the interval 4sxs8?
A)
10
B)
30
60
D
90
Answer:
Step-by-step explanation:
I think its B, (30)
Maria just inherited $10,000. Her bank has a savings account that pays 4.1% interest per year. Some of her friends recommended a new mutual fund, which has been in business for three years. During its first year, the fund went up in value by 10%; during the second year, it went down by 22%; and during its third year, it went up by 12%. Maria is attracted by the mutual fund's potential for relatively high earnings but concerned by the possibility of actually losing some of her inheritance. The bank's rate is low, but it is insured by the federal government. Use decision theory to find the best investment. (Assume that the fund's past behavior predicts its future behavior).
Answer:
Step-by-step explanation:
From the given information, it is evident that there is no assurance that the value of the mutual funds will give, and perhaps by looking at the trend, there is a net expected value of (10% - 22% + 12%) = 0% which literally doesn't differ from the what is given by the bank is a guaranteed one. From the perspective of decision theory, the best option is to use a bank because we would likely need to go for a guaranteed interest as opposed to going for an unexpected share.