Answer:
nah
Step-by-step explanation:
Rewrite the function by completing the square.
g(x)=4x^2-16x+7
g(x)=___(x+___)^2+__
Answer:
[tex]g(x) = 4(x - 2)^2 -9[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 4x^2 - 16x + 7[/tex]
Required
Complete the square
Rewrite so that [tex]x^2[/tex] has 1 coefficient
[tex]g(x) = 4(x^2 - 4x) + 7[/tex]
Take half of the coefficient of x
[tex]\frac{4}{2} = 2[/tex]
Square the result
[tex](\frac{4}{2})^2 = 2^2[/tex]
[tex](\frac{4}{2})^2 = 4[/tex]
Add and subtract the result in the bracket
[tex]g(x) = 4(x^2 - 4x + 4 - 4) + 7[/tex]
Expand the bracket to remove -4
[tex]g(x) = 4(x^2 - 4x + 4) - 16 + 7[/tex]
[tex]g(x) = 4(x^2 - 4x + 4) -9[/tex]
Expand the bracket
[tex]g(x) = 4(x^2 - 2x -2x+ 4) -9[/tex]
Factorize
[tex]g(x) = 4(x(x - 2) -2(x-2)) -9[/tex]
Factor out x - 2
[tex]g(x) = 4((x - 2)(x-2)) -9[/tex]
Express as square
[tex]g(x) = 4(x - 2)^2 -9[/tex]
2w^2 - 15w + 19 = 0
Quadratic Formula
Answer:
x=5.886 , x=1.614
Step-by-step explanation:
Given data
2w^2 - 15w + 19 = 0
a= 2
b= -15
c= 19
The expression for the Quadratic Formula is
x=(-b±√(b²-4ac))/(2a)
substitute
x=(-(-15)±√((-15)²-4*2*19))/(2*2)
x=(15±√225-152))/(4)
x=(15±√73))/(4)
x=(15±8.544))/(4)
x=(15+8.544))/(4) , x=(15-8.544))/(4)
x=23.544/4 , x=6.456/4
x=5.886 , x=1.614
A company claims they produce their mixed bag of candies so that, of the candies in the bag, 20 percent are dark chocolate, 60 percent are milk chocolate, and 20 percent are white chocolate. In a random sample of candies of size 50, the counts are as follows: 6 dark, 32 milk, and 12 white. Assuming the conditions for inference are met, what is the test statistic for a chi-square goodness-of-fit test to investigate whether the distribution of the sample is consistent with the company’s claim?
Answer: D: x^2=(6-10)^2/10 + (32-30)^2/30 + (12-10)^2/10
Step-by-step explanation: The formula for the chi-squared test is summation: (observed-expected)^2/expected. The observed value in this case would be the counts we received from the random sample (6 dark, 32 milk, 12 white). The expected value can be calculated by taking the percentages given in the problem and multiplying them by 50 (0.20x50=10 dark , 0.60x50=30 milk , 0.20x50=10 white).
Tobin finds satellite images of a factory and an athletic stadium. She puts the images on a coordinate grid (shown
below).
(khan academy)
Answer:
The area of the factory is about 3000 m more than the area of the stadium
Step-by-step explanation:
The area of the factory can be said to be 3000m² more than the area of the stadium.
How to solve for the area of the factoryThe area of the factory is given as S1
S1 = √80² + 200² * √40² + 100²
= √6400+40000 * √1600 * 10000
=√46400 * √11600
= 23200m²
How to solve for the area of the stadiumS2 = 80² * 3.14
= 20096
The difference in areas = S1 - S2
= 3000m²
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help me plsssss i rlly need helppppp i'll give brainliestttt
please help. Will give BRAINLIEST!!!!!
Answer:
√13
Step-by-step explanation:
if you try Pythagorean's theorem for each one, you should get that √13 doesn't work.
Answer:
13
Step-by-step explanation:
A farmer grows a new variety of pumpkin, hoping to have
larger pumpkins to sell. To see how large the new variety
grows, she collects some statistical data.
1. The farmer plants the seeds in late May.
2. In October, she harvests the pumpkins.
3. After harvesting, she weighs each pumpkin on a scale
and records its weight
4. The farmer places the pumpkins on tables based on
their size.
Which step describes how the data were measured?
Answer:
C
Step-by-step explanation:
Answer:
is C
Step-by-step explanation:
A pex i took the test
give brainlist if feeling nice
Clark is conducting and expermint in which he drains water form buckets. The buckets do not have the same amount of water. Bucket A loses water at the rate of 10 ml per minute. The table represents the water in bucket B. The graph represents the water in bucket C
Answer:
A - B - C
Step-by-step explanation:
PLEASE HELP
How will the perimeter of the rectangle change if each side is increased by a factor of 10? A rectangle with length 6 centimeters and width 3 centimeters. The perimeter will be StartFraction 1 Over 10 EndFraction the original. The perimeter will be StartFraction 1 Over 100 EndFraction the original. The perimeter will be 10 times the original. The perimeter will be 100 times the original.
Answer:
p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original. More
Answer:
The perimeter will be 10 times the original.
Step-by-step explanation:
30.16 = 17.56 + 5x what is x
Answer:
x = 2.52
feel free to hit the crown
Answer:
2.52
Step-by-step explanation:
30.16 - 17.56 = 12.6
12.6 / 5 = 2.52
To verify if you plug it in, 30.16 = 17.56 + 5(2.52)
I hope it helped :)
) Which object's liquid volume is best measured in milliliters? Bathtub, Milk carton, big spoon or small fish tank
Answer:
big spoon
Step-by-step explanation:
The Big spoon liquid volume is best measured in milliliters.
Given that;
The objects are,
''Bathtub, Milk carton, big spoon or small fish tank''.
We have to find the best objects liquid volume to measured in milliliters.
How to find the appropriate unit for measurement?
Normally we use those measurements which are whole numbers mostly and if not, then not too much long after decimal and not much big numbers.
The volume of Bathtub, Milk carton, and small fish tank is more than the volume of big spoon.
And, The volume of liquid in Bathtub, Milk carton, and small fish tank is has usually measured in liters because it contain more liquid in comparison Big spoon.
Volume of liquid in a big spoon is measured suitably if we use milliliter. It is because the big spoon contains liquid with volume few milliliters or few hundred milliliters.
Hence, We use milliliters for measuring liquid in big spoon.
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Answer each question. Explain the method you chose to solve each problem. For
example, changing the percent to a fraction, changing the percent to a decimal or
inverse (switching the percent and number).
1. How long is 50% of 75 minutes?
I
2. How long is 20% of 60 minutes?
3. How long is 75% of 60 minutes?
Answer:
1. 37.5 (70*0.50)
2. 12 (60*0.20)
3. 45 (60*0.75)
Step-by-step explanation:
m * p
(percentage in decimal form)
HELPPPOOPOPPPP!!!! PLEASE
The answer is....................................................
Which equation matches the graph shown ?
A. Y=8x^2 +2x -5
B. Y= 8x^2 +2x +5
C. Y=2x^2 + 8x +5
D. Y=2x^2 + 8x -5
Answer:
D
Step-by-step explanation:
Simply put 0 in the equations and see if it's true then put -2 instead of x and see if it matches. this is the easiest way.
What's the gradient of y=3x+1
Answer:
3
Step-by-step explanation:
y = 3x + 1
This is in slope-y-intercept form: y = mx + c
Gradient = m = 3
DOES ANYONE KNOW WHAT THUS WOULD BE !!!?
Answer:
120cm^3
Step-by-step explanation:
With the radius of 6, multiply 6 by itself to square it.
36
Then multiply that by the height of 10
360
Lastly divide by 3
120cm
Answer:
120
Step-by-step explanation:
Please answer, no links please.
Answer:
what you need help with? there is no picture or question
Step-by-step explanation:
Answer:
Solution given:
area of semi circle h=½πr²=½×π×5²=39.27in²
area of rectangle EFHI=l×b=6×3=18in²
area of rectangle CDFG=l×b=17×2=34in²
Total area: 39.27+18+34=91.27 square inches
I NEED THE ANSWER IN THE NEXT MINUTE
Answer:
BD is a diameter
Step-by-step explanation:
Ahh I forgot how to do this HELP ASAP PLZZ
Answer:
The answer is C!
Step-by-step explanation:
Tuan is an artist. He is painting on a large canvas which is 49 inches wide. The height of the canvas is 3 inches less than the width. What is the area of Tuan's canvas? The area of the canvas is square inches
Given:
Width of the canvas = 49 inches
The height of the canvas is 3 inches less than the width.
To find:
The area of the canvas.
Solution:
It is given that,
Width of the canvas = 49 inches
The height of the canvas is 3 inches less than the width
So, the height of the canvas is:
[tex]h=49-3[/tex]
[tex]h=46[/tex]
We know that the shape of the canvas is a rectangle and the area of the rectangle is:
[tex]A=length\times width[/tex]
The two dimensions of the canvas are 46 inches and 49 inches. So, the area of the canvas is:
[tex]A=46\times 49[/tex]
[tex]A=2254[/tex]
Therefore, the area of the canvas is 2254 square inches.
How do I solve this problem?
========================================================
Explanation:
The notation [tex]a_1[/tex] refers to the first term. So the first term is 21.
The d = -3 is the common difference. It's the value we add onto any given term to get the next following term.
We can say:
second term = (first term) + (common difference)
second term = [tex]a_1 + d[/tex]
second term = 21 + (-3)
second term = 18
Through similar steps, you should find that the third term is 15, the fourth is 12, and so on. Each time we decrease by 3.
The arithmetic sequence would be: 21, 18, 15, 12, 9, ...
The first three terms are 21, 18, and 15.
p and q are complex numbers such that ∣p∣ = 2/5 x + 2 , ∣q∣ = −3/4 x − 1 , and ∣p+q∣ = 2x + 4 .
On what interval must x fall?
a) [−4/3, −60/47]
b) [-2, −4/3]
c) [−2, [infinity])
d) (−[infinity], −4/3)
Please Help!!
Answer: (b)
Step-by-step explanation:
Given
[tex]\left | p\right |=\dfrac{2}{5}x+2[/tex]
[tex]\left | q\right |=\dfrac{-3}{4}x-1[/tex]
[tex]\left | p+q\right |=2x+4[/tex]
for two complex number, [tex]z_1,z_2[/tex]
[tex]\left | z_1+z_2\right |\leq \left | z_1\right |+\left | z_2\right |[/tex]
Apply the above the property
[tex]\Rightarrow 2x+4\leq \dfrac{2}{5}x+2-\dfrac{3}{4}x-1\\\\\Rightarrow 2x+4\leq \dfrac{8x-15x}{20}+1\\\\\Rightarrow 2x+3\leq -\dfrac{7x}{20}\\\Rightarrow x\leq -\dfrac{60}{47}[/tex]
Also, the absolute value of each complex number must be greater than or equal to zero
[tex]\text{Case-1}\\\\\Rightarrow \dfrac{2}{5}x+2\geq 0\\\\\Rightarrow x\geq -5\\\\\text{Case-2}\\\\\Rightarrow -\dfrac{3}{4}x-1\geq 0\\\\\Rightarrow x\leq -\dfrac{4}{3}\\\\\text{Case-3}\\\\\Rightarrow 2x+4\geq 0\\\Rightarrow x\geq -2[/tex]
Taking the intersection of the above values of x, we get
[tex]x\in [-2,-\dfrac{4}{3}][/tex]
A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a
wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on
the space on which the wheel stops. Let X represent the value of a spin. The distribution of X is given in the table.
a.1 b.1.5 c.2 d.2.1
Answer:
The median of the distribution is (first option);
1
Step-by-step explanation:
The values on the given table are presented as follows;
[tex]\begin{array}{cccccc}Value \ of \ Spin&0&1&2&5&10\\Probability&0.4&0.2&0.2&0.1&0.1\end{array}[/tex]
To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;
Cumulative probability, starting from the left, is therefore;
Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6
Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1
The median value of the distribution of X is 1
How to determine the median?The cumulative probability of the distribution is:
[tex]\sum E(x) = 1[/tex]
The median position is calculated as:
[tex]Median = \frac{\sum E(x)}{2}[/tex]
This gives
[tex]Median = \frac{1}{2}[/tex]
Median = 0.5 th
This mean that the median is at the 0.5th position
The value of the spin at the 0.5th position is 1
Hence, the median value of the distribution of X is 1
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can you help me with this please
What is the product of -3 and 5? A. -15 B. -8 C. 8 D. 15
Answer:
A) -15
Step-by-step explanation:
Answer:
A. - 15
Step-by-step explanation:
Got it right
Lorenzo has a package that weighs 2 pounds. He wants to check The weight of the package on a scale, but he only has weights that are measured in ounces. Drag the weight into the box that will balance the scale. Each weight can be used once or not at all.
Answer:
32 ounces
Step-by-step explanation:
1 pound = 16 ounces
2 pounds = 16 x 2 = 32 ounces
PLZ HELP IM ON A TIMER ALL THE ANSWERS IS ON THE SCREEN SHOT :{{{ plz hurry
Answer:
A) -10 + (-10)
Step-by-step explanation:
given sec0=29/21 and sin0>0 find csc0
csc theta = 29/30
Step-by-step explanation:
sec theta = hypotenuse/adjacent = 29/21
where hypotenuse = 29 and adjacent = 21
We can use these values and Pythagorean theorem to find the value of the opposite side:
(opposite)^2 = (hypotenuse)^2 - (adjacent)^2
= (29)^2 - (21)^2
= 400
or
opposite = 20
Therefore,
csc theta = hypotenuse/opposite = 29/20
What is the BALANCE POINT for this set of data? Type the NUMBER ONLY. :)
Answer:
The answer is "36".
Step-by-step explanation:
Please find the complete question in the attached file.
Pleaseee help easy math! no links. full explanation needed. (will give brainlyist) :))
Answer:
B is right becuase out of all of the answers this one is the least value with 26
Step-by-step explanation:
2x3x4+5 is false becuase the answer 29 which is the 2nd most value(2X3) + (4x5) is true because the answer 25 which is the least(2+3+4)x5 is false because the answer 45 which is the 3rd most value 2X(3+4)% is false because the answer 79 which is the 4th most value Hence B is rightBrainliist pls