Answer:
Step-by-step explanation:
Given equation is,
y = 3x² - 6x + 11
a). y = 3x² - 6x + 11
= 3(x² - 2x) + 11
= 3(x² -2x + 1 - 1) + 11
= 3(x² - 2x + 1) - 3 + 11
= 3(x - 1)² + 8
Comparing this equation with y = a(x - b)² + c
a = 3, b = 1 and c = 8
b). For minimum value of x,
Since, vertex of the graph is given by (b, c),
Minimum value of x will be,
x = b
x = 1
c). Vertex of the parabola → (b, c)
→ (1, 8)
For y-intercept,
By substituting x = 0 in the equation,
y = 3(0 - 1)² + 8
y = 11
Now we can sketch the graph by using the table of input - output values.
x -2 -1 0 1 2 3
y 35 20 11 8 11 20
please answer 22, 23, and 24 if you can i’ll mark brainliest tysm
Answer:
22=4/8 if needed to simplify that is 1/2
Answer:
22. 1/2
23. 11/6
24. 10/19
Step-by-step explanation:
Need help will try and mark brainliest if it lets me
Answer:
a: (4,4) B:(10,6) C:(0,2) D: over 12 E: over 3, up 2 F: up 7
The graph shows the amount of money paid when purchasing bags of candy at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.
What is the cost of one bag of candy?
$2
$4
$0
$6
Answer:
4
Step-by-step explanation:
Can someone help pls?
Answer:
Step-by-step explanation:
Let the original width be x
Then the original length = x + 11
Area = x * (x + 11)
If you decrease each side by 7 you get
Area 1 = (x - 7)(x + 4)
So area - area1 =
x (x + 11) -98 = (x - 7)(x + 4) Remove the brackets
x^2 + 11x - 98 = x^2 - 7x + 4x - 28 Combine the like terms
x^2 + 11x - 98 = x^2 - 3x - 28 Add 98 to both sides
x^2 + 11x = x^2 - 3x + 70 Cancel the x^2
11x = -3x + 70 Add 3x to both sides
14x = 70 Divide by 14
x = 70 / 14
x = 5
=====================
Original conditions
Answer width = 5
Length = 16
If you check this, you will get totally bizarre answers. Don't check it. It gives negative results. You can do this in math, but not in the real world.
Write an equation of the line passing through the points (4,15) and (-1, 15)
A dog kennel owner wants to enclose a rectangular dog run. She
wants it to be five times as long as it is wide. She cannot use
more than 100 feet of fencing. Describe the dimensions of the
dog run.
****For word problems you must define the variable for the situation & write a
sentence to describe the solutions. ****
Answer:
A dog kennel owner wants to enclose a rectangular dog run. She
wants it to be five times as long as it is wide. She cannot use
more than 100 feet of fencing. Describe the dimensions of the
dog run.
****For word problems you must define the variable for the situation & write a
sentence to describe the solutions. **
Step-by-step explanation:
describe transformation given by (x,y) (x, y + 2)
Answer:
This graph has been translated. Translation is when the image on the graph has been shifted along one or both of the axis. In this case, the graph has been shifted up two units as shown by the operation of addition on the y-value. Remember that translations are rigid movements, so the new image will be congruent to the pre-image.
State if each triangle is a right triangle:
13 ft
5 ft
10 ft
Answer:
Step-by-step explanation:
the longest length is always the hypotenuse
Use Pythagorean theorem
a^2+b^2=c^2
5^2+10^2=c^2
c=11.18
Note: if c=13 than it is a right triangle
since 11.18 not=13
not right triangle
Answer:
It is not a right triangle
Step-by-step explanation:
a(squared) + b(squared) = c(sqaured)
a = 13, b = 5, c = 10
13 times 13 is 169
5 times 5 is 25
169 + 25 = 194
but that's not all.
10 times 10 is 100.
the problem is 169 + 25 is 194, not 100. for the triange to be a right triangle, all the numbers have to make sense. i don't know if this helps but again, it is not a right triangle.
Is the relation a function? (0,2) (2,0) (2,2) (3,4) (6,6) *
A. Yes, the relation is a function.
B. No, the relation is not a function.
please explain it's a test
Answer:
B. no, the relation is not a function
Step-by-step explanation:
At the gas station, each liter of gas costs \$3$3dollar sign, 3, but there's a promotion that for every beverage you purchase you save \$0.20$0.20dollar sign, 0, point, 20 on gas.
Is your total savings on gas proportional to the number of beverages you purchase?
Yes Or No
Answer:
Yes, your total savings on gas is proportional to the number of beverages you purchase.
Step-by-step explanation:
What is a proportional relationship?
A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.
In this case the variables are:
number of beverage purchased
savings
Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:
savings / beverages purchase = $ 0.20 / beverage
That means that you can determine the savings by multipliying the number of beverages times $ 0.20.
For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:
Number of beverages savings ratio
1 $ 0.20 $0.20 / 1 beverage = 0.20
2 $ 0.40 $0.40 / 2 beverages = 0.20
3 $ 0.60 $0.60 / 3 beverages = 0.20
4 $ 0.80 $0.80 / 4 beverages = 0.20
Joe can run 12 miles in 125 minutes. How many miles can he run in 230 minutes? (solve and explain the steps)
Answer:
Joe will run 22.08 miles in 230 minutes.
Step-by-step explanation:
Given that Joe can run 12 miles in 125 minutes.so Joe running the miles in 1 minute is = 12/125 = 0.096 miles
unit rate = 0.096 miles/per minuteAs Joe runs 0.096 miles in one minute.
Thus, in 230 minutes, Joe will run = 0.096 × 230 = 22.08 miles
Therefore, Joe will run 22.08 miles in 230 minutes.
Which of the following trigonometric ratios are correct? SELECT ALL THAT APPLY.
Answer:
Option 4 is correct
Step-by-step explanation:
The formula of the Trigonometric Identity Sine is,
[tex]Sin\ \theta=\frac{perpendicular}{hypotenuse}\\\\sin\ 40 =\frac{x}{b}[/tex]
how do i solve this?
Answer:
add up ??
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
y=
Answer:
y = -2x + 5
Step-by-step explanation:
y = mx + b points on the graph: (0,5) (1,3)
y = mx + 5
[tex]\frac{5-3}{0-1}[/tex] = [tex]\frac{2}{-1}[/tex] = -2
y = -2x + 5
i need to have more or one answer
4) A circular clock has a circumference of 48.5 meters. What the measurement of the radius, in meters, of the clock? Round to the nearest tenth. SHOW YOUR WORK A) 3.9 B) 7.7 C) 15.4 D) 76.1
Answer:
B
Step-by-step explanation:
r=48.5/2
r=48.5/6.2831853071796
r=7.71901474
7.7
Help me please!!!!!!!!!!!
Solution: [tex]x \ge 11[/tex]
Graph: Closed circle at 11, shading to the right
======================================================
Work Shown:
[tex]x+7 \ge 18\\\\x+7-7 \ge 18-7\\\\x \ge 11[/tex]
In the second step, I subtracted 7 from both sides to undo the "plus 7".
To graph this, we place a closed or filled in circle at 11. Then we shade to the right. The endpoint x = 11 is included as part of the solution set, which is why we use a closed circle instead of an open hole.
This visually describes all values that are equal to 11 or larger than 11.
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = 5
Step-by-step explanation:
5x + 30 and 2x + 45 are alternate exterior angles and are congruent, thus
5x + 30 = 2x + 45 ( subtract 2x from both sides )
3x + 30 = 45 ( subtract 30 from both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Bill spent less than $36 on Kitten and puppy magazines kitten magazines cost $4 each and puppy magazines cost $3 each A) write an inequality that describes the situation B) list two possible combinations of puppy and kitten magazines C) if bill bout 3 kitten magazines, how many puppy magazines can he buy?
Answer:
A) 4k + 3p < 36
B) 3 kitten magazines and 4 puppy magazines
4 kitten magazines and 6 puppy magazines
C) If bill bought 3 kitten magazines, then he buys less than 8 puppy magazines.
Step-by-step explanation:
Let:
The number of kitten magazines = k
The number of puppy magazines = p
A) Write an inequality that describes the situation
We are told:
Bill spent less than $36 on Kitten and puppy magazines kitten magazines cost $4 each and puppy magazines cost $3 each
Hence:
$4 × k + $3 × p < 36
4k + 3p < 36
B) List two possible combinations of puppy and kitten magazines
4k + 3p < 36
Bill can buy:
3 kitten magazines and 4 puppy magazines
4 kitten magazines and 6 puppy magazines
C) If bill bought 3 kitten magazines, how many puppy magazines can he buy?
Using the inequality above:
4k + 3p < 36
4k + 3p < 36
4 × 3 + 3p < 36
12 + 3p < 36
3p < 36 - 12
3p < 24
p < 24/3
p < 8
If bill bought 3 kitten magazines, then he buys less than 8 puppy magazines.
How can
1/3x-2 = 1/4x+ 11 be set up as a system of equations?
A.
3y - X = -6
4y - x = 44
B.
3y + x = -6
4y + x = 44
C.
3y - 3x = -6
4y - 4x = 44
D.
3y + 3x = -6
4y + 4x = 44
Answer: c
Step-by-step explanation:
bc i said
42 students are going on a field trip. The students are divided into groups of four Students. How many groups of four will there be. If the remaining studentsform a smaller group, and one chaparone is assigned to every group,how many total chaparones are needed
Answer:
Step-by-step explanation:
if we have 42 students which are divided in group of 4 we will have
42/4=10 groups and 2 students left
if we would have a group out of 3 students, we will have 14 groups and 14 chaperones
a group will have 3 students and one chaperone
42 students and 14 chaperones
11
Find the arc length of the semicircle.
Either enter an exact answer in terms of toruse 3.14 form and enter your answer as a decimal
units
Show Calculator
Answer
The arc length of the semicircle is 5[tex]\pi[/tex] units or 15.7[tex]\pi[/tex] units
The arc length of the semi-circle will be equal to 11π.
What is the arc length of a semicircle?The arc length of the semicircle is defined as the length of the curved path of the circle.
The arc length will be calculated as follows:-
Arc = π x r
Arc = π x 11
Arc = 11π
Therefore the arc length of the semi-circle will be equal to 11π.
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You should be able to see the question, if you know how to answer the ones that i didnt answer please let me know (with work please) if you do i will be so grateful!
Answer:
Sometimes, “I don't know” or “Let me get back to you” just doesn't cut it. ... Most of the time it's no big deal when you don't have a solid answer right away. ... get back to you,” can risk diminishing your credibility–especially if those are your ... Related: 5 Credibility-Busting Responses You Need To Stop Using .
Step-by-step explanation:
Credibility-Busting Responses You Need To Stop Using .
Which value is the solution to the equation - 8 = 6-7x?
A. -7
B. - 2
c. 2
D. 5
Answer:
-8=6-7x (subtract 6 from both sides)
-14=-7x (divide each side by -7)
x=2
the answer is C
Answer:
c: 2
Step-by-step explanation:
-8 = 6 -7x, isolate the -7 by moving the 6 to the left side of the equation so it becomes -8-6 = -7x --> -14 = -7x and then divide by both sides by -7 and then you get x =2, you can plug in the number back into the equation to make sure
What is an equation of the line that passes through the point (-1, -3) and is perpendicular to the line x –2y = 14?
The equation of the line passing through the point ( -1,-3) will be y = -2x - 5.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
Given that the line passes through the point (-1, -3) and is perpendicular to the line x –2y = 14. the equation of the line will be calculated as:-
Make equation: y = mx + b
x = 2y + 14
2y = x - 14
y = 1/2x - 7
For a line perpendicular, the sign will be opposite and the slope will be reciprocal.
y = -2x + b
-3 = -2(-1) + b, b = -5
The equation of the line will be written as below:-
y = -2x - 5
Therefore, the equation of the line passing through the point ( -1,-3) will be y = -2x - 5.
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X=2 y=5
2x^0y^-2
Please help
Answer:
2/25
Step-by-step explanation:
will mark brainliest, what are the missing numbers?
Answer:
117
Step-by-step explanation:
Got it from calucaltor and did it to make sure
Answer:
117
Step-by-step explanation:
PLZ HELP ME ITS 30 POINTS TROLLERS WILL BE REPORTED
Answer:
haha troll go brrr
Step-by-step explanation:
2,4,5 (actual answer)
2-angle MNP (38) is less than angle ONP (39)
4- they are equal by the reflexive property of congruence op
5-is MNP has a lower angle, side MP should have a longer side
Algebraic expression for 7 11 16 22 29
Answer:
37
Step-by-step explanation:
Prisicas built a cabinet shaped like a rectangular prism .The length base is 9 inches and the width is 40 inches what is the area of the base of the cabinet in square inches
Answer:
360in²
Step-by-step explanation:
The base of the rectangular prism is a rectangle. Since we are to find the area of the base of the cabinet, then we just need to get the area of the rectangle.
Area of a rectangle = Length * Width
Given
Length = 9in
Width = 40in
Area of the base = LW
Area of the base = 9 * 40
Area of the base = 360in²
Therefore the area of the base of the cabinet in square inches is 360in²