Step-by-step explanation:
Given function:
g(x) = 2x² + 14x - 16Find x intercepts:
2x² + 14x - 16 = 0x² + 7x - 8 = 0x² - 1 + 7x - 7 = 0(x - 1)(x + 1) + 7(x - 1) = 0(x - 1)(x + 8) = 0x = - 8, x = 1Midpoint of x intercepts:
1/2(-8 + 1) = -7/2 = - 3.5Whether the extreme value is minimum or maximum:
Its minimum as the leading coefficient is positiveWrite in g(midpoint):
g(-3.5) = 2(-3.5)² + 14(-3.5) - 16 = - 40.5The vertex is: (- 3.5, - 40.5)
Answer:
g(x) = 2x² + 14x - 16
2x² + 14x - 16 = 0
x² + 7x - 8 = 0
x² - 1 + 7x - 7 = 0
(x - 1)(x + 1) + 7(x - 1) = 0
(x - 1)(x + 8) = 0
x = - 8, x = 1
1/2(-8 + 1) = -7/2 = - 3.5
Take minimum as the leading coefficient is positive and write in g(midpoint):
g(-3.5) = 2(-3.5)² + 14(-3.5) - 16 = - 40.5
The vertex is: (- 3.5, - 40.5)
A quality control inspector has drawn a sample of 18 light bulbs from a recent production lot. If the number of defective bulbs is 2 or less, the lot passes inspection. Suppose 30% of the bulbs in the lot are defective. What is the probability that the lot will pass inspection? Round your answer to four decimal places.
Answer:
ur a lightbulb head
Step-by-step explanation:
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A well with 40 m internal diameter is dug 14 m deep. The soil taken out is spread all around to a width of 20 m to form a circular embankment, find the height of the embankment.
ـ Don't Spam➠
Step-by-step explanation:
GivenA well with 40 m internal diameter is dug 14 m deep. The soil taken out is spread all around to a width of 20 m to form a circular embankment, find the height of the embankment.[tex]{\qquad{\rule{150pt}{1pt}}}[/tex]
To FindHeight Of Embankment?SolutionExplaination
Attachment
What is the solution to the system of equations?
y
+3
X = -2
15
o (-2, 3),
(2)
(-2공
ㅇ(-2, )
0
Answer:
d
Step-by-step explanation:
(3y^3)^2 without exponents
When raising one power to another power multiply the two powers together:
(3y^3)^2 = 3y^(3 * 2) = 3y^6
Answer: 3y^6
The expression [tex](3y^3)^2[/tex] is simplified by applying the exponent rules and the value is [tex]9y^6[/tex]
Given data:
The expression [tex](3y^3)^2[/tex] can be simplified by applying the exponent rules. To remove the exponents, we multiply the base and raise it to the power of the product of the outer and inner exponents. In this case, the base is [tex]3y^3[/tex], and the exponent is 2.
First, square the numerical coefficient, which is 3, to get [tex]3^2 = 9[/tex]. Next, apply the exponent to the variable term [tex]y^3[/tex] by multiplying the outer exponent (2) with the inner exponent (3), resulting in [tex]y^(3 * 2) = y^6[/tex].
Hence, [tex](3y^3)^2[/tex] simplifies to [tex]9y^6[/tex] . This means that the expression represents the result of squaring the quantity [tex]3y^3[/tex], resulting in 9 times the sixth power of y. It's essential to understand and apply exponent rules to efficiently simplify expressions and evaluate mathematical operations without using exponents directly.
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Name 4 fractions that are equivalent to 9/12. Show your work
Answer:
3/4
6/8
12/15
15/18
Step-by-step explanation:
Answer:
3/4, 18/24, 27/36, 36/48
Step-by-step explanation:
9 and 12 can both be divided by 3 to equal 3/4
9/12 times 2 is 18/24
9/12 times 3 is 27/36
9/12 times 4 is 36/48
hope this helps:)
Solve this for brainless and points please and thanks
[tex]\\ \sf\Rrightarrow 2x+y=-2[/tex]
Isolate y[tex]\\ \sf\Rrightarrow y=-2x-2[/tex]
m=-2b=-2Graph attached
find the value of h
Answer:
h = 1
Step-by-step explanation:
The h in f(x) = |x -h| is the number of units the graph of f(x) is shifted to the right. The blue graph vertex is 1 unit to the right of the black graph vertex, so ...
h = 1
THE IMAGE HAS ALL THE INFO
PLEASE DON’T SEND A LINK
Answer:
y =6x + 8
y =6(-3) +8
y= -18 + 8
y= -10
Fifteen girls left a mixed group of boys and girls. There remained two boys for each girl. After this, 45 boys leave the group, and there were 5 girls for each boy. Determine the number of girls in the
original group.
1) Which graph represents the equation y = 1/2x + 3
Plz help
Answer:
c
Step-by-step explanation:
Expand 4x(7x-11)
For maths
Help please
here is the answer please mark me bainliest
The expand form will be;
⇒ 28x² - 44x
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 4x (7x - 11)
Now,
Solve the expression as;
⇒ 4x (7x - 11)
⇒ 4x × 7x - 4x × 11
⇒ 28x² - 44x
Thus, The expand form will be;
⇒ 28x² - 44x
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has to be turned in soon at 9:00 it's 7:50
Answer:
A
Step-by-step explanation:
b must always be greater than 0 since 12b-15 must always be greater than 21. You can simplify the ineqaulity to see things easier; 12b>36. Again, this ineqaulity can be simplified; b>3. A is the closest answer here, but there should be an open interval at 3 for A to be correct.
USE A MODEL Olivia and her brother William had a bicycle race. Olivia rode at a speed
of 20 feet per second, while William rode at a speed of 15 feet per second. Olivia gave
William a 150-foot head start and the race ended in a tie.
How far away was the finish line from where Olivia started
Answer:
Step-by-step explanation:
The distance from where Olivia started to the finish line is 600 foot
How determine how far away was the finish line from where Olivia started?
A model function is a way of describing a real-life system or situation using mathematical concepts and language
If Olivia rode at a speed of 20 feet per second, while William rode at a speed of 15 feet per second. Olivia gave William a 150-foot head start.
We can write write a linear model function for both Olivia and William as follows:
Olivia: y = 20x
William: y = 15x + 150
where y is the distance and x is the time taken to reach finish line
Since the race ended in a tie (i.e. draw), we can equate the two functions:
20x = 15x + 150
20x -15x = 150
5x = 150
x = 150/5
x = 30 seconds
Thus, the distance from the finish line to where Olivia started can be determined by substituting x = 30 into y = 20x. That is:
y = 20(30) = 600 foot
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Number 5 am stuck pls help
Answer:
im going to be honest i havent done this since las year and so i dont remember the value of that line outside but i think its 70*
Step-by-step explanation:
reason is because the c is originally 180* but it has more of and angle so the angles obv increases and you can get the angle by multiplying 70*times 7x and divide by 3
i say 3 because of the amount of angles in a triangle and the line outside if i remember correctly is the "angles" of a triangle and that would be your answer
The revenue from selling x hats is r(x) = 18x.
The cost of buying x hats is c(x) = 8x+ 30.
The profit from selling x hats is p(x) = r(x) - c(x).
Write a function for p(x), the profit from selling x hats.
A. p(x) = 10x - 30
B. p(x) = 26x + 30
C. p(x) = 26x - 30
D. p(x) = 10x + 30
Answer:
A. p(x) = 10x - 30Step-by-step explanation:
Given:
r(x) = 18x andc(x) = 8x+ 30Find p(x) by substituting the above into the following equation:
p(x) = r(x) - c(x)p(x) = 18x - (8x + 30) = 18x - 8x - 30 = 10x - 30Correct choice is A
PLS I NEED HELP FOR THIS!
Evaluate 3m + p if m = 2 and p = 4.
_________
[tex] \: [/tex]
3m + pm = 2
3m + 4m = 2
(3 + 4)m = 2
7m = 2
m = 2/7
The measure of angle ABC is 160°.
The measure of angle ABD is 95°.
The measure of angle DBC is xº.
Find the value of x.
Answer:
65°
Step-by-step explanation:
160 - 95 = x
x = 65
Find x for brainiest
Answer:
x=36
Step-by-step explanation:
These angles added together equal 180 degrees
2x + 3x =180
5x = 180
x = 36
Answer:
x = 36
Step-by-step explanation:
2x and 3x are supplementary angles they both add up to 180 degree Therefore 2x + 3x = 180 5x = 180 180/5 = x x = 36
please answer right ............................................
Answer:
4 Child tickets (I think...)
The sum of 2.25 and half a number is −4.
What is the number?
Enter your answer as a decimal in the box.
Answer:
K12 Answer
Step-by-step explanation:
The solution of the linear equation 2.25 + n / 2 = −4 will be −12.5.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The sum of 2.25 and half a number is −4.
Let 'n' be the number. Then the equation is given as,
2.25 + n / 2 = −4
Simplify the equation, then we have
2.25 + n / 2 = −4
n / 2 = − 4 − 2.25
n / 2 = −6.25
n = −12.5
The solution of the linear equation 2.25 + n / 2 = −4 will be −12.5.
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which expressions is equivelent to 6h +18
You can reduce it with the greatest common factor, which is 6.
6h + 18
6(h + 3)
Answer:5x – 4y = 18 x + 3y = ...
Step-by-step explanation:
Which system is equivalent to the system shown and could be used to solve the system of equations correctly using the elimination method?
On a basketball team, 2 of the 5 starting players are taller than 6
feet.
What percent of the starting players are taller than 6
feet
[tex] \frac{2 }{5} \times 100 = \\ [/tex]
[tex]40[/tex]
Thus 40 percent of the starring players are taller than 6 feet.
Plssssssssssssssssss slove I don't know how to solve this
Answer:
I think the second blank is 5 and the third blank is 2.
Input 1: Output 5
Input 5: Output 2
Write an expression that shows how to multiply 4x362 using place value
Answer:
362x4
This equals 1448
Step-by-step explanation:
Answer:
362
x4
---------
Step-by-step explanation:
because we're using place value we need to line up the numbers, 4 below the 2 and so on.
simplify the fraction 90/100
Answer:
9/10
Step-by-step explanation:
hope this helps
Answer:
9/10
Step-by-step explanation:
divide top and bottom by 10
Plz help I need help
⏩Option (D.)
George deposited $900 in an account that earns 5% annual compounded annually. How much
interest will the account earn after 3 years, if he makes no withdrawals or deposits?
A $63.05
B $80.00
Answer: A
Step-by-step explanation: Hope this helps :)
Sarah is making scarves. She has 10 1/2 yards of fabric to make the scarves. If each scarf requires 4 yards of fabric, how many scarves can Sarah make? PLEASE HELP
Answer:
2
Step-by-step explanation:
We know 10 1/2 is basically 10.5 or 21/2
To find the max amount of scarves she can make, simply divide the number of yards she has by 4. This will get you the number of scarves she can create.
[tex]\frac{21/2}{4} = \frac{21}{2} * \frac{1}{4} = 21/8 = 2.625[/tex]
Well.. we don't want to make .625 of a scarf since that would be ridiculous, so we will round it down to 2 since we can't make 3 either.
The max amount of scarves she can make is 2.
PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!
Answer: (5,1)
Step-by-step explanation:
Divide both sides of the equation by 3, Eliminate the x's and you should have 6y=6. After solving y to be 1 plug it into one of the equations to find x