Answer:
16
Step-by-step explanation:
help on this i don’t get it
9514 1404 393
Answer:
opening upwardaxis of symmetry: x = 0.25vertex: (0.25, -3.25)x-intercepts: 0.25 ±√0.8125 ≈ {-0.651388, 1.151388}y-intercept: -3Step-by-step explanation:
I find it useful to graph the function using a graphing calculator. That answers most of the questions.
This function is written in standard form (terms have decreasing powers of x). It is a 2nd degree function, because the highest power of x is 2. A second-degree function is also called a quadratic. The leading coefficient is the coefficient of the term with the highest power of x. Here the leading coefficient is 4. The sign of it is positive, which tells you which way the graph opens (when the degree is even).
Opening
When the leading coefficient is positive, the function's graph opens upward. (If it were negative, the graph would open downward.)
Vertex
The vertex is the extreme point on the graph. If you want to find it algebraically, its coordinates are ...
(-b/(2a), c -b^2/(4a))
where 'a', 'b', and 'c' are the coefficients of ax² +bx +c. In this function, a=4, b=-2, c=-3, so the vertex is ...
(-(-2)/(2(4)), -3 -(-2)^2/(4(4))) = (1/4, -3 1/4)
Axis of Symmetry
The axis of symmetry is the vertical line through the vertex. It will have the equation x=constant. Of course, the constant must be the x-value of the vertex (which is why we found the vertex first).
x = 1/4
x-intercepts
The x-intercepts are where the graph crosses the x-axis. The attached graph shows an approximation of them, rounded to thousandths. You can compute the x-intercepts algebraically from the vertex and the leading coefficient.
x-intercepts = (vertex x-value) ± √(-(vertex y-value)/(leading coefficient))
x-intercepts = 1/4 ± √((3 1/4)/(4)) = 0.25 ±√0.8125 ≈ {-0.651388, 1.151388}
y-intercept
The y-intercept is the value of f(0), the point where the graph crosses the y-axis. It is always the constant in the polynomial, named 'c' above. The y-intercept is ...
y-intercept = -3
_____
Additional comment
Sometimes you want the x- and y-intercepts written as coordinates. Of course the y-coordinate of the x-intercepts is 0. Similarly, the x-coordinate of the y-intercept is 0. The coordinate ordered pairs are shown on the graph.
These are fairly standard questions that are asked about quadratic functions. It can be worthwhile to get familiar with the way they are answered. (The computation of the x-intercepts shown here is perhaps a bit unusual, but is very effective once you have the function vertex. The values it gives are correct even when the "x-intercepts" are complex numbers.)
as an estimation we are told 5 miles is 8 km convert 58 km into miles
36.25 miles
Please Help Whats the awnser
Answer:
y = -5x - 9
Step-by-step explanation:
The book club spent $455 on bookmarks. If they plan to sell them for $5 each how many must they sell to make a profit?
Answer:
92
Step-by-step explanation:
they must sell at least 92 because 92 times 5 equals 460 and so 460 is more than 455 so they made a profit
help quick i will give 10 points
Answer:
See below.
Step-by-step explanation:
The top is a square 3 cm by 3 cm.
The other 4 sides are rectangles. Each one is 4 cm by 3 cm.
Front: 4 cm * 3 cm = 12 cm^2
Back: 4 cm * 3 cm = 12 cm^2
Right: 4 cm * 3 cm = 12 cm^2
Left: 4 cm * 3 cm = 12 cm^2
Top: 3 cm * 3 cm = 9 cm^2
TOTAL: 12 cm^2 + 12 cm^2 + 12 cm^2 + 12 cm^2 + 9 cm^2
TOTAL: 57 cm^2
Bottom prism (blue):
Front: 5 cm * 6 cm = 30 cm^2
Back: 5 cm * 6 cm = 30 cm^2
Right: 5 cm * 6 cm = 30 cm^2
Left: 5 cm * 6 cm = 30 cm^2
Bottom: 5 cm * 5 cm = 25 cm^2
Top: 5 cm * 5 cm - 3 cm * 3 cm = 25 cm^2 - 9 cm^2 = 16 cm^2
TOTAL: 30 cm^2 + 30 cm^2 + 30 cm^2 + 30 cm^2 + 25 cm^2 + 16 cm^2
TOTAL: 161 cm^2
Explanation for area of top of bottom (blue) prism.
Notice that the entire bottom of the top (yellow) prism is connected to the bottom prism, so there is no area of the bottom of the top prism that adds to the total surface area of the composite solid. With the bottom prism's top surface it is different. Since the top surface of the blue prism is larger than the bottom surface of the yellow prism, there is a bit of top surface of the blue prism that is seen. That area is the area of the top surface of the blue prism minus the area of the bottom surface of the top prism.
5 cm * 5 cm = 3 cm * 3 cm = 25 cm^2 - 9 cm^2 = 16 cm^2
The area of the top surface of the blue prism is 16 cm^2
Total surface area of the composite solid:
57 cm^2 + 161 cm^2 = 218 cm^2
Answer:
57 cm^2
Step-by-step explanation:
4 (4x3) + (3x3) = 48 + 9 = 57 cm^2
Front: 12 cm2
Back: 12 cm^2
Right: 12 cm^2
Left: 12 cm2
Top: 9 cm^2
-3 5/6+ 7 2/3= solve
Answer:
49 %=566
Step-by-step explanation:
espero que te ayuder
determine whether the function is even odd or neither
Answer:
neither
Step-by-step explanation:
If the graph is symmetric by the y-axis the function is even OR we can say that
f(x) = f(-x) for the function to be even
for f(3) = 2 and f(-3)= 2 works yet
for f(2) = 0 and f(-2) = 1 NOT an even function
f(-x) = -f(x) will make the function odd
f(-3) = 2 and -f(3) = -2 NOT an odd function
f(-x) ≠ -f(x) will make the function neither
f(-3) = 2 ≠ -f(3) = -2 the function is neither odd or even
Please help. To see the image larger please hover over image and press the magnifying glass.
Answer:
See Below
Step-by-step explanation:
The negation of a statement is almost like the opposite, but it needs to cover all cases that the statement does not.
1) x is not equal to 300.
This statement is true for all x except 300 while our original statement is true for all x except 100. These two have overlaps between what values of x could be, meaning that it is not the negation.
2) x is equal to 100.
This statement is true only for the case x equals 100 while our original statement is true for all the cases where x is not 100. These two do not overlap and cover all numbers. This means that it is the negation.
3) It is not the case that x is equal to 400.
This statement is true for all x except 400 while our original statement is true for all x except 100. These two have overlaps between what values of x could be, meaning that it is not the negation.
4) x is equal to 300.
This statement is true only for the case x equals 300 while our original statement is true for all the cases where x is not 100. This two cases have overlaps(300), meaning it is not the negation.
A stadium has 47,000 seats. Seats sell for $35 in Section A, $20 in Section B, and $15 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,482,000 from each sold-out event. How many seats does each section hold?
Answer - its 31
step by step
Need help with number 32
Answer:
No, he's wrong. 5 in the thousands place looks like this, 0.005. 5 in the hundreds place looks like this, 0.05. So therefore, the 5 in the hundreds place is 10 times greater than the 5 in the thousands place.
Step-by-step explanation:
50 pounds of pet food for
$37.99
Unit rate
Answer:
$0.76
Step-by-step explanation:
$37.99 divided by 50 pounds = $0.7598 per pound
Round 0.7598 and you will end up with 0.76.
4.
Which shows how to solve the equation 5 x = 80 for x in one step?
-(-5)X = 80(-5)
(5)x=80(5)
Help pls
Answer:
The second one.
Step-by-step explanation:
With the equation -4/5x=80, you need to multiply the reciprocal of the fraction in order to isloate x so that you can solve. Therefore, the second answer seems to best represent this.
Can someone explain to me how you dot these?
Answer and Step-by-step explanation::
250 grams.
Is that 0.25 kg converted to grams? the picture is way too small.
Every kg has 1000 grams. Because it is 0.25 kilograms, you need to take 0.25 of 1000.
1000
x
0.25
= 250.
Plssss helppppp, this is geometry
Answer:
Step-by-step explanation:
measure angle b
add it with 90
90 + b = A
and create an angle with the measure of sum (A)
Answer:
90
Step-by-step explanation:
the question sat sum of A'angle and B'angle.
so A+B=180
so when you subtract 180-90=90
negative three times a number plus 4 is no more than the number minus 8 find the number
Answer:
[tex]x \geqslant 3[/tex]
[3, infinity)
Step-by-step explanation:
-3n + 4 < n-8
get all of the n's to the same side
-3n + 4 < n-8
+3n + 4 < +3n-8
4 < 4n-8
send the number (-8) off to the other side
4 < 3n-8
+8< 3n +8
12 < 3n
isolate variable
12/3 < 3n/3
4 < n
so
[tex]x \geqslant 3[/tex]
Translate the expression from algebra to words: 11 - 3
Answer:
eleven minus three
hope this helps lol!
Answer:
3 subtracted from 11, or 11 minus 3.
Step-by-step explanation:
Using the words minus and Subtract indicated Subtraction. The opposite words from this would be sum of, or add.
Hope this helps! Good Luck!
-kiniwih426
ssawdadadwad pls help me
9514 1404 393
Answer:
2x +94 = 18043°Step-by-step explanation:
The sum of angles in a triangle is 180°. We are told the measures of the three angles are ...
x + x + 94 = 180
2x +94 = 180 . . . . . . equation to solve for x
2x = 86 . . . . . . . subtract 94
x = 43 . . . . . . divide by 2
The congruent angles each measure 43°.
Pls help I’ll brainlest ASAP
Answer:
x=24
Step-by-step explanation:
I needed to solve an algebra problem!
Will you give me a not so difficult one?!
Answer:
so did you want a algebra questions?
Step-by-step explanation:
have a great day mark me as brainliest
What is the answer for this Problem?
Answer:
Increasing on the interval(s) [tex]-2\leq x\leq -4[/tex]
Decreasing on the interval(s) [tex]-1\leq y\leq 1[/tex]
Step-by-step explanation:
Anytime the graph is going upward, the function is increasing. However, anytime the graph goes down, the function is decreasing. Look at the image below for further reference. Also, when the function is increasing, the slope is positive, and when the function is decreasing the slope is negative.
The increasing interval of the graph is -3
The decreasing interval of the graph is 0.5
Since the values are in the middle of the interval, it automatically becomes the answer.
The sum of three numbers is 82. The first number is 8 less than the second. The third number is 4 times the second. What are the numbers?
Answer:
your answer is 7,15,60
Step-by-step explanation:
15-8=7
15*4=60
7+15+60=82
Hope it helps u
Noah started to solve the equation -4.6p - 6.3p + 3.9= 9.18 below.
1. Combine like terms: -10.9p+3.9=-9.18
Apply the next steps to solve the equation. What is the solution?
P= ?
9514 1404 393
Answer:
p = 1.2
Step-by-step explanation:
From here, it is a 2-step linear equation.
Step 1:
Identify the constant term on the side of the equation with the variable. Subtract that constant from both sides.
-10.9p = -13.08
Step 2:
Divide both sides by the coefficient of the variable.
p = -13.08/-10.9 = 1.2
The solution is p = 1.2.
How to get 5% of 100?
Answer:
100/5 = 20
so 20 is 5% of 100
Mrs. Taylor earns $3,462 a month.
If she spends $1,958 a month and saves the rest,
how much will she save in 9 months?
Answer:
1m she saves 3.462-1.958=1.504
9m she saves 1.504*9=13.536
Step-by-step explanation:
HELP WILL MARK BRAINLEST
Select the correct answer.
Answer:
A
Step-by-step explanation:
The answer is B
15 x 2 = 30
7 x 3 = 21
30 + 21 = 51
If it takes a fan 12 minutes to walk her seat in the last section in the stadium and it takes 7 minutes to get to the
lowest-level seats, what is the average time to find a seat in these two sections at the stadium?
Answer:
9.5
Step-by-step explanation:
Probably wrong, but to find average you add up 12+7 then divide by 2, that is 19/2 which is 9.5
The average value of the time is 9.5 minutes.
What is average?"The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set".
For the given situation,
Time to walk in the stadium are 12 minutes and 7 minutes.
Number of values = 2
Formula to find average,
Average = Sum of Values/ Number of values
⇒ [tex]Average = \frac{12+7}{2}[/tex]
⇒ [tex]Average = \frac{19}{2}[/tex]
⇒ [tex]Average = 9.5[/tex]
Hence we can conclude that the average value of the time is 9.5 minutes.
Learn more about average here
https://brainly.com/question/16217700
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Suppose that you borrow $10,000 for four years at 8% toward the purchase of a car. Find the monthly
payments and the total interest for the loan.
Answer:
25thousand six hundred
18634 to the nearest hundred
Answer:
18600
lf you like my answer than please mark me brainliest thanks
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
This is the same as writing [tex]-18w^7[/tex]
=====================================================
Explanation:
The three terms we are multiplying are:
3w^(-2)2w^6-3w^3The coefficients of those terms are: 3, 2, -3
Multiplying the coefficients gets us 3*2*(-3) = -18 which is the coefficient of the final answer.
As for multiplying the w terms, we add the exponents: -2+6+3 = 7, and this is the exponent of the final answer.
Wrapping everything up, that's how we end up with -18w^7
PLEASE HELP WILL MARK BRAINEST IF RIGHT!!!
Answer:
p: True, q: False, r: True
Step-by-step explanation:
Truth value only has two answer choices: true or false
p: True (there are 7 days in a week)
q: False (there are 31 not 30 days in March)
r: True (Halloween is on Oct. 31)
If not correct, write a message and I will try to help further.