Answers
Answer:
Choice letter C most quickly reveals the y intercept; the y intercept is (0,8).
Step-by-step explanation:
The equations given are all different equations for the same parabola! The one that most quickly provides us with the y intercept is letter C!
Why? Well, letter C is in standard form aka the most basic quadratic formula :
[tex]ax^2+bx+c=0[/tex]
Ironically enough, variable c always states the y intercept in equations as such. Variable c, in this case - is 8. Which means the y intercept is 8!
Now, you'll notice that choice B also mentions + 8 in it's formula, this is true - but in this case it refers to one of the x intercepts (which is actually -8!)
Hope I was of assistance! #SpreadTheLove <3
The y-intercept for the equation is 8, and the equation reveals the intercept most quickly by option C.
What is the function?A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given a function in three equivalent forms,
to find the y-intercept,
the y-intercept is the point on the y-axis where the value of x is zero,
f(x) = -1/2(x + 3)² + 25/2
f(x) = -1/2(x - 2)(x + 8)
f(x) = -1/2x² - 3x + 8
to find the y-intercept easily the equation should be in form,
ax² + bx + c
where c is the y-intercept,
only 3rd equation is in the form of ax² + bx + c from where y-intercept can be found easily,
f(0) = 8
Hence y-intercept is 8 and with equation f(x) = -1/2x² - 3x + 8 we can calculate it quickly.
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Related Questions
if f(x)=2/3x2 +8x, what is the value f(6)
Answers
Answer:f(6)=72
Step-by-step explanation:
Help! Show work please.
Answers
Answer: V = 1649.34
Step-by-step explanation:
The formula for solving the volume of a right cylinder is V = pi r^2h where r = radius and h = height.
We know that radius is half the diameter so r = 5 because the diameter is 10 ft. We already know height = 21 so our equation looks like pi x 5^2 x 21
5^2 = 5 x 5= 25
so pi x 25 x 21 = 1649.34
Answer:
V ≈ 1649.34 ft³
Step-by-step explanation:
Volume of a Cylinder: V = πr²h
Diameter = 2 · radius
Step 1: Define
d = 10 ft
h = 21 ft
Step 2: Substitute and Evaluate
10 = 2r
r = 5
V = π(5)²(21)
V = π(25)(21)
V = 525π
V ≈ 1649.34 ft³
List two different possibilities for the angle measures of an isosceles triangle.
Answers
Answer:
Two different possibilities for the angle measures of an isosceles triangle are-:
In an isosceles triangle, the base angles have the same measure of degree and are equal (congruent) as a result.If two angles of a triangle have identical lengths in this triangle, then the sides opposite such angles are of the same length.Step-by-step explanation:
AN ISOSCELES TRIANGLE -: The term isosceles, with the focus on the "sos," is pronounced "eye-sos-ell-ease." It is any triangle of the same length that has two sides. The unequal side of a triangle of isosceles is generally referred to as the triangle's 'base'. An isosceles triangle's base angles are always equal.
Which table of ordered pairs represents a proportional relationship? A 2-column table with 3 rows. Column 1 is labeled x with entries 0, 5, 10. Column 2 is labeled y with entries 10, 20, 30. A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 6. Column 2 is labeled y with entries 10, 20, 30. A 2-column table with 3 rows. Column 1 is labeled x with entries 1, 2, 3. Column 2 is labeled y with entries 2, 3, 4. A 2-column table with 3 rows. Column 1 is labeled x with entries 1, 3, 4. Column 2 is labeled y with entries 4, 10, 13.
Answers
Answer:
Step-by-step explanation:
Create ordered pairs and graph them. x y. (x, y). –4. 4. (–4, 4). –2. 3. (–2, 3). 0. 2. (0, 2). 2. 1. (2, 1). 4. 0. (4, 0). 10. –3 + 2y = –5. eSolutions Manual - Powered ... represents the number of children x and adults y who ... The table does not show a linear relationship since A ... download to complete the last column in the table. b.
by gurkert
Answer:
table b
Step-by-step explanation:
Coach Sweeney walks 26 yards to the north along the sideline, pauses, and walks 12 yards back to the
south.
a. Determine the distance which Coach moved. b. Determine Coach's resultant displacement
Answers
Answer:
Distance: 38 yards
Displacement: 14 yards
Step-by-step explanation:
Ms. Smith bought 30 boxes of pencils in the beginning of the year. Each box cost $2.15 including tax. 6/15 of the boxes she bought have been used. How much money did she spend on the remaining boxes?
Answers
Answer:
$45
Step-by-step explanation:
In order to begin solving this problem, we need to first calculate the number of remaining (unused) boxes. We do this by multiplying the total number of boxes by the percentage of boxes remaining. Since Mr. Smith used 6/15 of the boxes we know that there are 9/15 remaining (15-6 = 9). If we divide 9 by 15 we get 0.60 which is the percentage of remaining boxes in decimal form. Now we simply multiply this by the total initial number of boxes
30 * 0.60 = 18 remaining boxes
Now that we know how many unused boxes there are, we simply multiply this number by the cost of each box.
18 * $2.15 = $45
ITS URGENTT!!! PLEASE I NEED HELP.
josh is riding a scooter. He rides 12 miles in 2 hours, 18 miles in 3, and 24 miles in 4 hours. Find the constant of proportionality and write the equation to describe the situation. Let x represent the number of hours.
Constant of proportionality is k=
the equation that describes the relationship is Y=
Answers
12/ 2 = 6, 18/3 = 6, 24/4 = 6
Y = KX
Y = 6X
It's in your genes: Human genetic material (DNA) is made up of sequences of the molecules adenosine (A), guanine (G), cytosine (C), and thymine (T), which are called bases. A codon is a sequence of three bases. Replications are allowed, so AAA, CGC, and so forth are codons. Codons are important because each codon causes a different protein to be created (a) how many different codons (b) how many different codons are there in which all three bases are different (c) the bases A and G are called purines, while C and T are called pyrimidines. How many different codons are there in which the first base is a purine and the second and third are pyrimidines?
Answers
Answer:
a. 64
b. 24
c. 16
d. 6/16
e. 1/8
Explanation:
a. How many different codones are there?
Answer: there are 64 different codons
b. How many different codons are there in which all three bases are different?
Answer:there are 24 different codons in which all three bases are different
c. The base A and G are called purines, while C and T are called pyrimidines. How many different codons are there in which first base is purines and second base is pyrimidines
Answer: there are 16 different codons where the which first base is purines and second base is pyrimidines
d. What is the probability that all three bases are different?
Answer: probability of all three bases being different is
Number of codons with three different bases / total number of codons
= 24/64 = 6/16
e. What is the probability that first base is purines and second and third base is pyrimidines?
Answer: prob is number of codons with first base being purine and second and third base being pyrimidines / total number of codons
= 8/64 = 1/8
(8)•(-4)•(3) eqauls what ?
Answers
Answer:
-96
Step-by-step explanation:
8*(-4)*3 = -32*3 = -96
Answer:
-96
Step-by-step explanation:
8 x (-4) x 3
= 8 x 4 x (-1) x 3
= (-1) x 8 x 4 x 3
= (-1) x 96
= -96
In a class of 31 students, there are 17 females. What is the ratio of males to females in the class?
Answers
Answer:
14
Step-by-step explanation:
The ratio of males to females in the class is 14:17.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Number of students= 31
Number of females= 17
Number of males = 31- 17
= 14
So, ratio of males to females in the class
= 14/ 17
= 14: 17
Hence, the ratio of males to females in the class is 14:17.
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please help me out. my guess is that is (-infinity, infinity) but this is my last chance and i dont want to get it wrong. please help a girl out.
Answers
Answer:
You are correct!!
It would be (-infinity, infinity) :)
Answer True or False to the statements below. If the statement is False, explain why.
1. Is 2.434434443 a rational number
2. Is 6.57 an integer
3. Is 5.7 is rational
4. All fractions are rational numbers.
5 All integers are whole numbers.
6. All irrational numbers are Real numbers.
7 All negative numbers are integers.
Answers
Answer:
1:yes it is
2:no- an integer cannot have a decimal or fraction
3:yes it is
4: true
5: false- integers can be negative or positive
6: false- irrational numbers can be negative, have decimals or fractions
7: true
Write the vertex form of a parabola that has the same shape as the parent graph of f(x) = x^2 but with the vertex point
at (5, 4).
Answers
Answer:
f(x) = (x - 5)² + 4Step-by-step explanation:
Parent graph: f(x) = ax² and vertex (h, k) means the vertex form of a parabola that has the same shape: f(x) = a(x - h)² + k
f(x) = x² ⇒ a = 1
vertex: (5, 4) ⇒ h = 5, k = 4
Vertex form of a parabola that has the same shape as the parent graph of f(x) = x^2 and the vertex (5, 4):
f(x) = (x - 5)² + 4
If a figure is dilated by a factor of 6, the perimeter of the figure will change by a factor of Response area.
Answers
Answer:
1,2,3,6
Step-by-step explanation:
6x1, 2x3, 3x2, 6x1
Both the Math Club and the Spanish Club have a pizza party at the end of the year. The Math Club has 16 members and the sponsor gives each member one over four of a pizza at the party. The Spanish Club has 18 members and their sponsor gives each member one over three of a pizza at their party. Which statement best represents which club buys more pizzas?
Answers
Answer: Spanish Club.
Step-by-step explanation:
Not only does each person get 1/3 of a pizza (1/3 > 1/4), but there are more people.
help ??? i need the answer
Answers
Answer:
41
Step-by-step explanation:
Write the following expression in exponential form: ^8√x^3
Answers
Answer: x^(3/8)
====================================================
Explanation:
The rule we use is
[tex]\Large \sqrt[n]{x^m} = x^{m/n}[/tex]
This allows us to go from root form to exponent form, and vice versa.
The index of the root is the denominator of the fractional exponent.
In this case, m = 3 and n = 8, so,
[tex]\Large \sqrt[8]{x^3} = x^{3/8}[/tex]
Answer:
x^(3/8)
Step-by-step explanation:
In the circle with center O, which arc is congruent to arc CD?
arc AB
arc AC
arc BC
arc AD
Answers
Answer: arc AD
Step-by-step explanation:
They are the same size as line CD=AD
A store has 2 separate displays of color markers. There are 16 sets of color markers in each display. There are 14 markers in each set. What is the total number of markers on display?
Answers
Answer:
The total number of markers on display is 448 markers.
Step-by-step explanation:
Given;
number of sets of color markers in each display, = 16
number of markers in each set, = 14
The number of markers in a single display = 16 x 14 = 224 markers
The total number of markers on the 2 display is = 2 x 224 markers = 448 markers.
Therefore, the total number of markers on display is 448 markers.
1/3x-2y=7 is linear or nonlinear
Answers
Answer: I hope this helps
Step-by-step explanation: Answer: It is linear
Basically just turn it into slope intercept form which is y=mx+b and if it doesn't have an exponent it is linear.
and also remember it is in standard form in the question which is Ax+By =C
GP4) If a person walks 2 1/2 miles in 1 1/4
hours at a constant speed, what is this
rate in miles per hour?
Answers
Answer:
Step-by-step explanation:
d = r* t
d/t = r
2.5/1.25=2 MPH
Can two obtuse angles be supplementary
Answers
Answer:
no,
Step-by-step explanation:
two numbers have to equal 180 degrees. The biggest numbers can only be 90+90 and that is a right angle.
Which number line model represents the expression 3 1/2 + (- 6)
Answers
Answer:
b
Step-by-step explanation:
it show on the graph the point 3 1/2 and the subtraction of 6 which is -2 1/2
What is the slope of a line through (-4,3) and (5,3)
Answers
Answer: 0. No slope.
Step-by-step explanation: Use the slope formula (m=y2-y1/x2-x1). This would give us 3-3/5+4 resulting in 0/9. This equals 0, so there would be no slope.
How do you find the inverse of 7x^2
Answers
Kay makes $54.00 for 6 hours of work. How much money does she earn per hour?
Show or explain your work. Write your answer in a complete sentence.
Answers
Answer:
She makes 9$ per hour.
Step-by-step explanation:
You divide 54 and 6 and you get your answer. Simple.
explanation: the reason on why it will be nine because all you will have to do is find the unit rate. and how to find that is that all you have to do is divide the price with the amount of hours that she worked ( $54 / 6 = 9 ) and that will find the amount that she earns per hour
Your teacher is giving out fruit for lunch. A paper bag contains 4 apples, 6 pears, and 8 oranges. What is the probability you will pick an orange at random? What is the complement to this event? What is the probability of the complement? Which fruit is more likely to be chosen?
Answers
Answer:
What is the probability you will pick an orange at random? 4/9
What is the complement to this event? Pulling either an apple or a pear from the bag
What is the probability of the complement? 5/9
Which fruit is more likely to be chosen? Orange
The probability you will pick an orange at random is 4/9, the complement event is taking an apple or a pear out of the bag, and the probability of complement event is 5/9, and the fruit is orange.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have the total number of fruits = 4+6+8 = 18
The probability you will pick an orange at random = 8/18 = 4/9
Complement of the above event: Taking an apple or a pear out of the bag
The probability of the complement
P = 1 - 4/9 = 5/9
As the probability of the choosing an orange is greater than others, so the orange is the fruit which is more likely to be chosen.
Thus, the probability you will pick an orange at random is 4/9, the complement event is taking an apple or a pear out of the bag, and the probability of complement event is 5/9, and the fruit is orange.
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The input and output is shown below. What is the function?
Number of Cheese in a store | Number of Milk in a store
12 16
16 20
20 24
Answers
Answer:
Add 4.
Hope this helped! :D
Answer: Add 4
Step-by-step explanation:
12 + 4 = 16
16 + 4 = 20
20 + 4 = 24
One thing that we see in common is that we add 4.
The answer is add 4. Hope this helps!
I need help with this geometry
Answers
Answer:
270°
Step-by-step explanation:
because a counter-clockwise rotation of 270° is equal to a clockwise rotation of 90°
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0
Step-by-step explanation:
6
at0 0 raised to any positive power equals 0.I need a step by step explanation on how to get y = mx + b
Answers
4y = 3x + 4
Y = mx + b