Answer:
1. standard form
2. vertex form
Function or not a function?
If we want to check that a graph is function or not, we have a way to check by doing these steps.
Draw a vertical line, make sure that a line has to pass through or intercept a graph. See if a line intercepts a graph more than once.If a line intercepts a graph only one point, a graph is indeed a function. Otherwise, not a function but a relation instead. That includes if a line intercepts more than a point which doesn't make a graph a function.
From the graph, if we follow these steps, we will see that a line will only pass or intercept the graph only one point. Hence, the graph is indeed a function. The following graph that is shown is called "Parabola" for a < 0.
AnswerThe graph is a function.
2. The graph of a certain geometric sequence can be described as a curve increasing from left to right. Which sequence would have a similar graph?
O {1, 4, 16, 64, 256)
0 (-1,2,-4, 8, -16)
0 (4096, 1024, 256, 64, 16)
O (10, 13, 16, 19, 22)
Answer:
0 (-1,2,-4, 8, -16) that should help you
Step-by-step explanation:
The sequence 1, 4, 16, 64, 256 shows the similar graph increasing from left to right. Option a is correct.
Sequence which have similar graph as certain geometric sequence increasing from left to right.
It is type of sequence and series that has common and equal ratio between preceding values in series.
Here,
The only geometric sequence seems from observation having increasing from left to right, that implies the curve is also increasing from left to right is 1, 4, 16, 64, 256, having common ratio of 4 with preceding values.
Thus, the sequence 1, 4, 16, 64, 256 shows the similar graph increasing from left to right.
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Convert y = 5x2 + 20x + 11 to VERTEX form.
Answer:
y =5(x+2)2−6 is the correct ans
The vertex form of quadratic equation is expressed as:
y = a (x - h) + k
We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.
y - 14 = 5x+ 20x
Then, we factor out in right hand side the coefficient of the x² term.
y- 14 = 5 (x + 4x)
We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.
y - 14 + 20 = 5 (x + 4x +4)
We simplify the right-hand side as:
y =5(x+2)2−6
(hope that helps can i plz have brainlist :D hehe)
Step-by-step explanation:
The vertex form is one of the most commonly used forms for quadratic functions, as it emphasizes the dimensions of the substring graph's vertex.
Vertex form:A vertex form of a solution is a unique way of spelling out such a parabola's equation. Usually, a quadratic equation is expressed as an x² + bx + c, which is a parabola if plotted on a graph.[tex]\to y= 5x^2+20x+11\\\\[/tex]
Solving the equation:
[tex]\to y= 5(x+2)^2-9\\\\\to y= 5 (x^2+2^2+ 2\times 2 x)-9\\\\\to y= 5 (x^2+4+ 4x)-9\\\\\to y= 5x^2+ 20+ 20x-9\\\\\to y= 5x^2+ 20x +11\\\\[/tex]
So, the value is "5(x+2)²-9".
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у= -3х + 3
у = 3х – 3
у= 3х - 1/3
у = -1/3х + 3
Answer:
the answer is D
Step-by-step explanation:
Do rise over run and y intercept is 3
In a cookie jar,
1/4
of the cookies are chocolate chip and
1/3
of the rest are peanut butter. What fraction of all the cookies is peanut butter?
Answer:
2/4
Step-by-step explanation:
i..dk i think it is 2/4
Simplify the expression.
4X2 + 10x -6 / 2x-1
a. -x+5
b.2(x+3)
c.x+3
d.2x-6
Answer:
4x2+7x−1
Step-by-step explanation:
a bicyclist traveled 62 miles in 2 hours.the biker tracked at a constant speed and did not stop for a break.if the biker continues to travel at this rate,which equation can be used to determine y,the total number of miles the biker will travel,in x hours
A.y=62x
B.y=x+62
C.y=31x
D.y=x+31
Answer:
Step-by-step explanation:
if the bicyclist travels 62 miles in 2 h, he travels 62/2=31 miles per hour
y=nr miles
y=31x
choice C
Answer:
C
Step-by-step explanation:
Divide 62 by 2 to get the unit rate (31 miles per hour)
62/2= 31
X is used to show the number of hours. We are trying to determine the number of miles the biker will travel in x hours. So we would need to multiply 31 and "X" or we could write it as "31x"
Hope this helps!
A rancher needs to build a water storage tank for her cattle. The cattle drink 3 cubic meters of water each day and the rancher wants the new tank to hold a 5-day supply of water. If the new tank has a radius of 2 meters, how tall will the tank need to be?
Answer:
The height of the storage tank would be approximately 1.2 m.
Step-by-step explanation:
The cattle drink 3 cubic meters of water each day.
For 5 days,
the cattle would drink = 3 cubic meters x 5
= 15 cubic meters of water
Thus,
The volume of the storage tank = 15 cubic meters
But,
volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
where r is the radius and h the height.
So that,
15 = [tex]\frac{22}{7}[/tex] x [tex]2^{2}[/tex] x h
15 = [tex]\frac{22}{7}[/tex] x 4 x h
15 = 12.57h
h = [tex]\frac{15}{12.57}[/tex]
= 1.1933
h = 1.2 m
The height of the storage tank would be approximately 1.2 m.
I really need help on this problem its on khan academy 27÷(−9)=?
Answer: -3
Step-by-step explanation:
[tex]\frac{27}{-9} = -3 \\[/tex]
We can check our work my multiplying -3 by -9 and see that it equals 27
[tex]-9*[\frac{27}{-9} = -3 ]* -9\\27 = 27[/tex]
GEOMETRY STUFF PLEASE ANSWER DUE IN 10 MINUTES
Answer:
1. m∠QVR=49°
6. 3x+4=49
4. straight angles theorem
8. division property
Step-by-step explanation:
According to the order of operations, what operation should be performed first in the expression 8 minus 2 times 2 divided by left parenthesis 8 plus 5 right parenthesis? 8-2x2÷(8+5)
A. Multiplication
B. Addition
C. subtraction
Answer:
addition
Step-by-step explanation:
in this case its addition , but the only reson it is going first is bc it sin the parenthasies
One of Madison's hobbies is to locate hidden geocaches. To find yesterday's cache, Madison was instructed to start at a water fountain at a local park. Then, the directions had her walk 15 yards due west and 8 yards due south. If this was the location of the cache, how far was it from the water fountain where she started?
Answer:
24 yard of the water fountain
Which of the following is a counterexample to the following conjecture? If x2 = 4, then
X = 2
Answer: X=-2
Step-by-step explanation:
Pleaseee help answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!
Answer:
540
Step-by-step explanation:
(n-2)×180
(5-2)×180
3×180
540
1. How much taller is the volleyball team
than the gymnastics
team?
o Gymnastics team's heights (in inches): 56, 59, 60, 62, 62,
63, 63, 63, 64, 64, 68, 69
o Volleyball team's heights (in inches): 72, 75, 76, 76, 78, 79,
79, 80, 80, 81, 81, 81/
I
I
Answer:
I think of having 81inches
A color printer prints 16 pages in 7 minutes.
How many pages does it print per minute?
An archery target is shown. The length of a side of the inner square is 6 ft and the length of a side of the outer square is 11 ft. If an arrow
target at random, what is the probability that it hits the shaded region? Round to the nearest percent.
Answer:
The answer is below
Step-by-step explanation:
A square is a quadrilateral (has four sides and four angles). All the sides of a square has equal sides and all the angles of a square are equal with a measure of 90° each.
The area of inner square = length * length = 6 ft * 6 ft = 36 ft²
The area of outer square = length * length = 11 ft * 11 ft = 121 ft²
The probability that the arrow hits the inner square = area of inner square / area of outer square
The probability that the arrow hits the inner square = 36 ft² / 121 ft² = 0.3 = 30%
Answer:
55% i think
Step-by-step explanation:
Mariana picked x apples at an orchard. She and her friends ate 6 of them, leaving 36 apples the number of apples can be represented by the equation x-6=36 . Plot a point on the number line to represent x, the number of apples Mariana picked.
Answer:
42??
Cause 42-6=36
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Answer:
42
Step-by-step explanation:
36+6=42
42-6=36
Round the following numbers to the nearest 10
a) 83
b) 127
c) 245
Answer:
a)80
b)250
c)130
Step-by-step explanation:
Answer:
a)
Step-by-step explanation:
83 = 3 is less than 5
so,83-3=80
b) l27 = 7 is more than 5
so 127 + 3 =30
c) 245 = 5 is equal to 5
so 245+5=250
1/2+ 4x = 5 Make sure you show all steps Draw or add images here +
Answer:
x= 1.125
Step-by-step explanation:
0.5 + 4x = 5
4x = 5 - 0.5
4x = 4.5
x = 4.5/4
x= 1.125
Answer:
x=1.125
Step-by-step explanation:
1/2+4x=5
5-1/2=4.5
4.5/5=1.125
Does the point (2, 5) satisfy the equation y = 5x − 5?
Answer:
yes
Step-by-step explanation:
so x=2 and y=5
5 = 5 x 2 - 5
0=0
equation is right
Jaya has 26 hockey cards. Jaya has 1 fewer than 3 times the number her brother, Kumar, has. How many cards does Kumar have?
Let x represent the number of cards Kumar has. Then, an equation is 3x - 1 = 26.
Solve the equation. Answer the equation.
Answer:
the correct answer to the problem is 9
Answer:
9
Step-by-step explanation:
3x - 1 = 26
3x = 27
x = 9
please help it’s due today!
On Tuesday, the price of oranges at a grocery store was $1.20 per pound. Today, the oranges at the same grocery store are on sale at a 15% discount. What is the total price of 5 and 1/2 pounds of oranges this week at the grocery store?
A. $6.00
B. $2.50
C. $5.61
D. $1.02
Answer:
$5.61
Step-by-step explanation:
So, first of all, 15% off of 1.20 is 1.02. Then, multiply that by 5 1/2 to get $5.61.
How will the solution of the system y>2x+2/3 and y<2x1/3 change if the inequality sign on both inequalities is reversed
Answer:
We have the inequalities:
y > 2*x + 2/3
y < 2*x + 1/3
First, we need to understand how to see the solutions of each one of these.
y > 2*x + 2/3
The solution set of this inequality will be ALL the points above the line:
y = 2*x + 2/3
And the solution of the inequality:
y < 2*x + 1/3
Will be the set of all the points below the line:
y = 2*x + 1/3
Notice that line "y = 2*x + 2/3" is above than the line "y = 2*x + 1/3"
Then the system:
y > 2*x + 2/3
y < 2*x + 1/3
Has no solutions.
If we reverse both inequalities, we will get:
y < 2*x + 2/3
y > 2*x + 1/3
Now the solution of the first inequality will be all of the region below the line, and the solution for the second will be all the region above the line.
In this case, the solution of the system will be all the region between both lines, as we can see on the graph below. Where the solution of the system is the doubled shaded area.
f(-4); f(x) = x2 + x - 4
Answer: 8
Step-by-step explanation: In this problem,
we're asked to find f(-4) or the value of the function when x = -4.
To find the value of the function when x = -4,we simply plug in a -4 for
the x in our function and we have (-4)² + (-4) - 4 or 16 + -4 - 4 which is 8.
So f(-4) = 8.
the refrigerators at Hal's discount appliances are 30% off the original price during the 12th anniversary spectacular.MR Hanson is shopping for a new refrigerator and has a coupon for a 12% discount off the sale price.if the original price of a refrigerator is 1249 how much will MR.Hanson pay for the refrigerator before tax
Answer:
$769.38
Step-by-step explanation:
First, find the cost with the 30% off original price:
1249(0.7)
= 874.3
Now, find the cost with the 12% discount off sale price:
874.3(0.88)
= 769.38
So, Mr Hanson would pay $769.38 before tax
Answer:
$769.38
Step-by-step explanation:
Original price: $1249
100% - 30% = 70%
A 30% discount means that you pay 70% of the amount.
Apply a 30% discount: 0.70 * $1249 = $874.30
100% - 12% = 88%
A 12% discount means that you pay 88% of the amount.
Apply a 12% discount: 0.88 * $874.30 = $769.384
Answer: $769.38
If a =
-5i and b = -4x, then find the value of a+b in fully simplified form.
If a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
It is given that,a =-5i and b = -4x
We have to find the value of a+b in a fully simplified form.
We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
=a+b
= -5i-4x
Thus, if a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.
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Graph
How to put -31/2 , 21/2 on a graph
The radius of the circle on a basketball court is 6 feet. What are the approximate circumference and area of the circle?