Step-by-step explanation:
I am not sure, what is the level of math for you currently.
do you do differentiation and derivatives already ?
because that is how I find "extreme points" and "turning points" of a function right away.
the vertex is the turning point for a quadratic parabola.
that means the point where the slope (= the first derivative) of the function is 0.
and that is also where the axis of symmetry is.
8x - 8 = 0
8x = 8
x = 1 (axis of symmetry).
y = 4×1² - 8×1 = 4 - 8 = -4
so, the vertex is (1, -4)
in case you don't understand derivatives yet, there is a shortcut for this for quadratic equations (fyi - in fact, the generic result of the first derivative) :
y = ax² + bx + c
the x value for the axis is then
x = -b/(2a)
in our case
a = 4
b = -8
x = - -8/8 = 8/8 = 1
and then y is calculated as above.
2^x+2=4081
Solve the following exponential equation
Which of the following is a solution to the given equation?
y=-3x - 7
A)
(-2,-1)
B)
(-1,-10)
C
(4,-5)
D
(3,-2)
Answer: A
Step-by-step explanation:
By replacing in the given equation:
y=-3x-7
y=-3(-2)-7
y=6-7
y=-1
But for choices B, C and D the given x values don't fit with the images.
3. the smallest number by which 168 must be multipled to get the perfect square number. ICA) 3 1(B)2 (c) 4 (o)5
Answer:
42
Step-by-step explanation:
168 factors into
2•2•2•3•7
two of the 2's make a perfect square
(2•2)•2•3•7
2²•2•3•7
as none of the product of the remaining factors makes a perfect square
2•3 = 6, 2•7 = 14, 3•7 = 21
we need to multiply the remaining factors together to find another perfect square
2²•(2•3•7)²
2•3•7 = 42
42(168) = 7056 = 84²
How do you do -9-(-2)-(-6)-4?
PLEASE HELP!! REWARDING LOTS OF POINTS!
Step-by-step explanation:
check the attached file
A square piece of paper has a perimeter of 36 cm. What is the area of a square piece of paper with twice that perimeter? *
323 sq.cm
324 sq.cm
81 sq.cm
---------------------
( perimeter = l+ b )
(area = l × w )
(l= length)
(b= breadth )
(w= width)
Answer:
Area= 18 x 18=324 sq.cm
Step-by-step explanation:
p=36 x2=72 (as it is twice that of the original paper)
since it is a square, length of 1 side = 72/4= 18
so, the area = l x l= 18 x 18= 324 sq.cm
Answer:
Area= 18 x 18=324 sq.cm
Step-by-step explanation:
p=36 x2=72 (as it is twice that of the original paper)
Since it is a square, length of 1 side = 72/4= 18
Therefore, the area = l x l= 18 x 18= 324 sq.cm
Hope this helps :)
What is the median of these figure skating ratings? 5.0 6.0 7.0 7.5 8.0 9.0 10.0
Find the nth term of the geometric sequence.
[tex]a_2 = ar^{2-1} =ar = 6~~ ...(i)\\\\a_4 = ar^{4-1} = ar^3 = 2186 ~~....(ii)\\\\\\(ii)\div (i):\\\\\dfrac{ar^3}{ar} = \dfrac{2186}6\\\\\implies r^2 = \dfrac{2186}6 = \dfrac{1093}3\\\\\implies r = \pm \sqrt{\dfrac{1093}3}\\\\a= \pm \dfrac{6}{ \sqrt{\dfrac{1093}3}}\\\\\text{nth term} = ar^{n-1} = \pm \dfrac{6}{ \sqrt{\dfrac{1093}3}} \left( \pm{ \sqrt{\dfrac{1093}3} \right)^{n-1} = \dfrac{6}{ \sqrt{\dfrac{1093}3}} \left( { \sqrt{\dfrac{1093}3} \right)^{n-1} \\\\\\[/tex]
[tex]= 6\left(\dfrac{1093}3 \right)^{\tfrac{n-2}2}[/tex]
Answer:
aₙ = (6/19)*19ⁿ⁻¹Step-by-step explanation:
Given:
a₂ = 6a₄ = 2166Equation of nth term of GP:
aₙ = a₁rⁿ⁻¹Substitute for 2nd and 4th terms:
a₂ = a₁r = 6a₄ = a₁r³ = 2166Substitute the value of a₂ into a₄ and find the value of r:
a₁r³ = a₁r * r² = 6r²6r² = 2166r² = 2166/6r² = 361r = √361r = 19Find the first term:
a₁r = 6a₁*19 = 6a₁ = 6/19The equation of nth term is:
aₙ = (6/19)*19ⁿ⁻¹From 8:00 am to 8:20 am, Lisa picked 1/4 of a pound of strawberries. If she continues picking strawberries at this rate, how many pounds of strawberries will she pick in 4 hours?
Answer:
3 lbs
Step-by-step explanation:
20 mins is 1/4 lb (4oz)
1 hr is 3/4 lb (12 oz)
4 hrs= 3/4 lb or 12 oz × 4
4 hrs= 3 lbs or 48 oz
Use the function g(x)=11 to find the following values
g(-3)
Answer: https://www.bing.com/search?q=https%3A%2F%2Fwww.chegg.com%2Fhomework-help%2Fquestions-and...%0A&form=IPRV10
Step-by-step explanation: There you will find your answer
The value of g(-3) comes to be 11 because g(x) is a constant function.
Given function is:
g(x) =11
Function g(x) is a constant function because g(x) is independent of x.
How graph of a constant function look like?The graph of a constant function is parallel to the y-axis and gives the same output for any input given to the function.
So, The value of g(-3) will be the same as the value of g(x) i.e. 11
So, value of g(-3) = 11
Therefore, The value of g(-3) comes to be 11 because g(x) is a constant function.
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Jiro uses fabric to make costumes for a show choir
Answer:
Print it
Step-by-step explanation:
need help with my math please <3
Answer:
wth that's hard I can't answer that
2 short questions 20 POINTS
Step-by-step explanation:
13.
oh, come on !
you never had and solved the situation "one piece costs that much, how much will be 2 or 5 or 10 of them ?"
it is a simple multiplication.
and hence the answer B.
the first hint is already in the table with 1 pizza costing $5.25.
2 pizzas are then 2×$5.25, 3 pizzas 3×$5.25, ...
so, the cost c = number of pizzas × $5.25
or short
c = p×5.25 or 5.25p
14.
the domain is the interval or set of valid values for the input variable (x) of a function/relation.
and the range is the interval or set of valid values for the result variable (y) of a function/relation.
so, the domain is the set {-3, -1, 0, 1, 3}.
and the range is the set {-4, 0, 2, 4}.
In mathematics, a function is a binary relation between two intervals or sets that associates each element of the first interval/set (domain) to exactly one element of the second interval/set (range).
and that's what is done here.
it is a function.
each value of x is associated exactly with 1 result value of y.
a y value can be associated with more than one x value - no problem.
but no x value can have more than one associated y value - otherwise that would break the principle of a function.
Anna adds 2oz of milk to an 18oz cup of coffee that is 10% milk. What is the percentage of the milk in the resulting mixture?
Answer:
19% of milk
lemme know if it helped
Step-by-step explanation:
Natalie and her sister opened a savings account at the same time. Natalie deposited $100 and will deposit $10 each month. Her sister deposited $25 and will deposit $25 each month. When will Natalie have less money in her account that her sister?
Answer:
6 months
Step-by-step explanation:
We can think of Natalie as 100 + 10x and her sister as 25 + 25x. If we put them together, we will get 100 + 10x < 25 + 25x, We can simplify it by moving the 25 to the left side and 10x to the right side. Then we will get 75 < 15x, and the smallest solution is 6 because 5 * 15 is equal to 75
The angle measure of a triangle is shown in the diagram.
what is the value of x?
A. 13
B. 20
C. 5
D. 12
Answer:C.5
Step-by-step explanation:
Find the slope given these points:
(4,-4) & (2,0)
Answer:
The slope is -2
Step-by-step explanation:
[tex]m = \frac{0 - ( - 4)}{2 - 4 } \\ m = \frac{4}{ - 2 } \\ m = - 2[/tex]
Answer:
this is correct
Explanationsigns
1 quadrant = (+,+)
2 quadrant = (-,+)
3 quadrant = (-,-)
4 quadrant = (+,-)
Write an equation of the line that is parallel to the y-axis and passes through the point (−3,1). Then determine whether the slope of the line is positive, negative, zero, or undefined.
An equation is
.
Question 2
The slope is positive.
The slope is positive.
The slope is negative.
The slope is negative.
The slope is zero.
The slope is zero.
The slope is undefined.
Answer:
The slope is undefined
Step-by-step explanation:
A vertical line has points that have the same x-coordinate.
The equation is x = -3
The slope of a vertical line is undefined.
Answer:
The slope is undefined
Is the following a reflection,
rotation or translation?
Which statement is true?
Select the correct answer from each drop-down menu.
A machine cuts a strip of carpet into two pleces. The length of the smaller plece is 5 meters greater than 4 the length of the larger piece. If
the length of the smaller piece is 12 meters, the length of the bigger plece is meters and the total length of the carpet is
meters.
Length of larger piece be x
Smaller piece=4x+5x=12m
[tex]\\ \sf\longmapsto 4x+5=4(12)+5=60+5=65m[/tex]
Total length=65+12=77m
The length of the bigger piece is 1.75 meters and the total length of the carpet is 13.75 meters.
Given that length of the smaller piece is 12 meters.
The length of the smaller piece is 5 meters greater than 4 times the length of the larger piece.
Let's represent the length of the larger piece as "x."
Length of the smaller piece = 4 times the length of the larger piece + 5
12 = 4x + 5
Subtracting 5 from both sides:
12 - 5 = 4x
7 = 4x
Dividing both sides by 4:
7/4 = x
1.75 = x
So, the length of the bigger piece is 1.75 meters.
To calculate the total length of the carpet, we add the length of the smaller piece and the length of the bigger piece:
Total length of the carpet = Length of the smaller piece + Length of the bigger piece
Total length of the carpet = 12 + 1.75
Total length of the carpet is approximately 13.75 meters.
Therefore, the length of the bigger piece is 1.75 meters and the total length of the carpet is 13.75 meters.
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Dеtеrmіnе tһе rаnցе օf tһе fսnсtіօn f(х) = 2х + 1 ԝһеn tһе ԁօmаіn іѕ {-3, 9, 15}.
Answer:
Range: {-5, 19, 31}
Step-by-step explanation:
Given the linear function, f(x) = 2x + 1, and the domain, {-3, 9, 15}.
In order to determine the range of the given linear function, simply substitute each domain value as inputs into the function.
x = -3f(x) = 2x + 1
f(-3) = 2(-3) + 1
f(-3) = -6 + 1
f(-3) = -5
x = 9f(9) = 2x + 1
f(9) = 2(9) + 1
f(9) = 18 + 1
f(9) = 19
x = 15f(15) = 2x + 1
f(15) = 2(15) + 1
f(15) = 30 + 1
f(15) = 31
Therfore, the range of the function is: {-5, 19, 31}.
what is the solution of the equation ? 3=2w
Answer:
w = 1.5Step-by-step explanation:
Question:To find the solution that is 'w'Equation:3 = 2wSolution:3 = 2w
=> 2w = 3
[tex] = > w = \frac{3}{2} [/tex]
=> w = 1.5 (Ans)
4 A neghborhood is debating whether or not to have a leash law, which would require all dogs outside of homes to be on a leash. Most of the dog owners live in the
northern part of the
neghborhood. Which of these polls should give the most accurate information?
O A Apoll in which two streets are chosen at random and all the houses are on those two streets are polled.
OB. A poll in which the northernmost street and the southernmost street are both polled
• C. A poll in which 50 people in the neighborhood are chosen by picking addresses out of a hat.
OD. A poll in which 25 people are chosen by picking random phone numbers.
Someone please help
Will give brainliest
Answer:
C. A poll in which 50 people in the neighborhood are chosen by picking addresses out of a hat.
Step-by-step explanation:
It limits the field to those the law would affect, yet is randomized within that field to not bias the results much.
A warehouse placed 10 equal weight bones on a scale. Total they weighed 6 pounds. Each
box weighed
of a pound
Coaching companies claim that their courses can raise the SAT scores of high school students. Of course, students who retake the SAT without paying for coaching generally raise their scores. A random sample of students who took the SAT twice found 427 who were coached and 2733 who were uncoached. Starting with their verbal scores on he first and second tries, we have these summary statistics:
Try 1 Try 2 Gain
n x¯¯¯ s x¯¯¯ s x¯¯¯ s
Coached 427 500 92 529 97 29 59
Uncoached 2733 506 101 527 101 21 52
Construct, using the conservative estimate for degrees of freedom, a 98% confidence interval for the difference, μc−μu between the mean gain of all students who are coached and the mean gain of all students who are uncoached.
Solve for the missing variable thank you!
See attachment picture please
Answer:
How can we answer it without question?
Which set of ordered pairs lies along the same vertical line?
Answer:
All ordered pairs with the same x value
Step-by-step explanation:
A vertical line can be represented by the equation x=k for some value k. So any pair with x value equal to k satisfies the equation and is thus in the set
Select two answers from below. x=_ and then which theorem justifies your answer.
(2x + 2)
(3x -63)
m
a
x=63
x=64
Ob
c
roob.
X=65
X=66
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Same Side Interior Angles
f
Answer:
c. x=65
f. Alternate Exterior Angles
Step-by-step explanation:
2x+2=3x-63
2x=3x-65
-x=-65
x=65
They would be Alternate Exterior Angles because, they are 1, both on the outside of the parallel lines, and they are on different sides of the intersecting line, making them alternate. So, Alternate Exterior Angles