Answer:
Step One
Use the vertex to determine the basic equation for the parabola.
y = a(x - 2)^2 + 7 Notice the sign change for x. I have provided a graph to show how this would look with a = 1 (in red.)
What it means is the 2 has to be minus in order that the vertex will shift 2 units in the x direction.
Step Two
Use the point to solve for a.
y = a(x - 2)^2 + 7
When x = - 1
Then y = 3
3 = a(-1 - 2)^2 + 7 combine -1 with - 2
3 = a (-3)^2 + 7
3 = 9a + 7 Subtract 7 from both sides
3 - 7 = 9a
-4 = 9a Divide by 9.
a = -4/9
or
a = - 0.4444
y = -0.4444(x + 2)^2 + 7 <<<<< answer
y = - 4/9 (x + 2)^2 + 7
Note: if you have choices, list them please.
Note: The red graph is y = (x - 2)^2 + 7 ; a = 1
The blue graph is y = - 4/9(x - 2)^2 + 7 ; a = - 0.44444
1 It widens the graph
jcherry99 avatar
It turns the graph upside down. The next one is the tough one.
jcherry99 avatar
It gives the parabola two real roots.
jcherry99 avatar
If you thought of others, so much the better.
Step-by-step explanation:
Answer:
y = - 4x² - 16x - 9
Step-by-step explanation:
the equaion of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (- 2, 7 ) , then
y = a(x + 2)² + 7
to find a substitute (- 1, 3 ) into the equation
3 = a(- 1 + 2)² + 7 ( subtract 7 from both sides )
- 4 = a(1)² = a
then
y = - 4 (x + 2)² + 7 ← in vertex form
= - 4(x² + 4x + 4) + 7
= - 4x² - 16x - 16 + 7
= - 4x² - 16x - 9 ← in standard form
ANSWER PLEASE LINKS , SPAM , OR WRONG ANSWER WILL BE REPORTED AND DELETED 100 POINTS TO ANSWER AND YOU WILL GET BRAINLIEST PLEASE DONT WASTE YOUR TIME AND SEND LINKS , SPAM. OR WRONG ANSWER !!!!! HAVE A BLESSED NIGHT/DAY
Answer:
46.24 mm²
Step-by-step explanation:
Given:
s = 6.8 mm
To find the area of the square, simply square the measure of the side length.
⇒ Area of polygon = s²
Substitute the measure of the side length:
⇒ Area of polygon = (6.8)² [s = 6.8 mm]
Simplify the area:
⇒ Area of polygon = (6.8)(6.8)
⇒ Area of polygon = 46.24 mm²
Answer:
46.24mm.²
Step-by-step explanation:
Multiplying base by height:
6.8 times 6.8 = 46.24mm.²
Or doing 6.8² (same thing)
Since this is a square you can do 6.8 squared.
Hello, can u help me out please i will give brainlist :)
Answer:
$5.75
Step-by-step explanation:
Find the difference between the weeks as this will give you the difference hence the amount deposited each week
0->1
is 12.00->17.75
diffrence is $5.75
1->2
is 17.75->23.50
diffrence is $5.75
the amount saved each week is $5.75
What is the equation of the line that passes through (4, -1)
and has a slope of -5?
A y = -5x + 19
B y = -5x + 21
C y = -5x - 19
D y = -5x – 21
Answer:
Step-by-step explanation:
answer: y = -5 + 19
We can use the point-slope formula to find an equation to solve this problem. The point-slope formula states: (y−y1)=m(x−x1)
Where m is the slope and (x1y1) is a point the line passes through.
Susbtituting the slope and values from the point from the problem gives:
(y−−1)=−5(x−4)
(y+1)=−5(x−4)
We can also solve this for the slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
Substitute the slope from the problem for m and the values of the point from the problem for x and y and solve for b:
−1=(−5⋅4)+b
−1=−20+b
20−1=20−20+b
19=0+b
19=b
We can substitute for m and b in the formula to find the equation:
y=−5x+19
Find the measure of each labeled angle.first,find x=……..,m(angle)A=……,m(angle)B=…..,m(angle)C=……..
Step-by-step explanation:
sum of angles in a straight line is 180°
Therefore,
(3x - 20) + (2x) = 180°
5x =200
x =200/5
x=40°
Angle A=3x - 20
=3(40) - 20
=100°
Angle B=2x
=2(40)
=80°
Angle A=2x - 15
=2(40) - 15
=65°
Marco leaves the bathroom faucet running for 22 minutes while he gets ready in the morning. running the faucet for 5 minutes wastes the same amount of energy as leaving a 60-watt light bulb on for 14 hours. how much energy did marco waste, in terms of hours which a 60-watt light bulb would remain on? a. 7.9 hours b. 61.6 hours c. 56.0 hours d. 264.0 hours
The amount of energy waste, in terms of hours which a 60-watt light bulb would remain on, is 61.6 hours then the correct option is B.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Marco leaves the bathroom faucet running for 22 minutes while he gets ready in the morning.
Running the faucet for 5 minutes wastes the same amount of energy as leaving a 60-watt light bulb on for 14 hours.
Then we have
[tex]\begin{aligned} \dfrac{5\ minutes}{14 \ hours } &=\dfrac{1\ minute }{x \ hours}\\\\x &= 2.8 \ hours \end{aligned}[/tex]
So, the rate is 2.8 hours per minute.
Since macro leaves the bathroom faucet running for 22 minutes. Then the waste of energy is leaving a 60-watt light bulb will be
→22 minutes × 2.8 hours/minute = 61.6 hours.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
There are no competing lemonade stands. One day, each lemonade stand recorded the number of glasses of lemonade they sold
each hour. The number of glasses of lemonade sold are shown in the box plot below.
Stand 1
Stand 2
14
15
16 17 18
19 20 21 22 23 24
Glasses of Lemonade Sold
Based on these samples, what generalization can be made?
A. The range of the hourly number of glasses at lemonade sold at stand 1 is less than the range of the hourly number of
glasses of lemonade sold at stand 2.
OB. The interquartile range of the hourly number of glasses of lemonade sold at stand 1 is greater than the interquartile range
of the hourly number of glasses of lemonade sold at stand 2.
OC. The third quartile of the hourly number of glasses of lemonade sold at stand 1 is less than the third quartile of the hourly
number of glasses of lemonade sold at stand 2.
OD. The median of the hourly number of glasses of lemonade sold at stand 1 is less than the median of the hourly number of
glasses of lemonade sold at stand 2.
Answer:
A
Step-by-step explanation:
I got it correct on study island.
pls help me to answer this
Explanation:
We'll have rectangles to represent the four categories mentioned in the table. The height of each rectangle (known as a "bar") represents the number of people in that particular category.
For example, we have 11 people who rated their visit as "poor", so the bar labeled "poor" will be 11 units tall. The same will apply to the other bars.
Pay special attention there are gaps between adjacent bars. This is in contrast to a histogram where there are no gaps. This is simply a style choice.
What is the difference between calculating probability with “and” vs “or”?
Answer:
The word or is used in probability to denote that you are computing the chance that either event A or event B occurred; both events do not have to occur. When you employ the word and, you're implying that both A and B must occur.
In Conclusion:
If either one or both of them occur, the condition is fulfilled, and the probabilities are added.
The condition is satisfied if and only if both of them occur, and the probabilities are increased.
If x = 5, then 3x + 4x - 15 equals:
A. 20
B. 15.
c. 40
D. 50
E 10
Answer:
20
Step-by-step explanation:
Given:
x = 5Substitute the value of x into the expression:
⇒ 3x + 4x - 15
⇒ 3(5) + 4(5) - 15
Simplify the expression:
⇒ 15 + 20 - 15
⇒ 15 + 5
⇒ 20 (Option A)
Answer:
A. 20
given function:
3(x) + 4(x) - 15put x = 5
3(5) + 4(5) - 15simplify
15 + 20 - 15answer
20is (x+5) A FACTOR OF f(x) = x3 − 4x2 + 3x + 7
Answer:
(x+5) is not a factor of f(x)
Step-by-step explanation:
Step 1 : we solve the equation x +5 = 0
x + 5 = 0 then x = -5
Step 2: we plug in -5 into f(x)
If we get zero then x+5 is a factor of f(x)
If we get a number other than zero then x+5 is not a factor of f(x)
Calculation:
f(-5) = (-5)³ − 4(-5)² + 3(-5) + 7 = - 233
Since we got -233 and not 0
Therefore ,(x+5) is not a factor of f(x)
Answer:
(x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7
Step-by-step explanation:
To see if (x + 5) is a factor, you can use either synthetic division or long division.
I'll be using synthetic division to divide f(x) by (x + 5):
-5 | 1 -4 3 7
| -5 45 -240
---------------------
1 -9 48 -233
The remainder is -233, which means that (x + 5) is not a factor of f(x) since there is a remainder.
Therefore, (x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7.
i need help 9th grade math
(f + g)(x) is another way of writing f(x) + g(x).
Given that
(f + g)(x) = 10x + 7
f(x) = 6x + 2
it follows that
g(x) = (f + g)(x) - f(x)
g(x) = (10x + 7) - (6x + 2)
g(x) = 4x + 5
g(x) be n
Now
n+6x+2=10x+7Interchange x
n+2=10x-6x+7n+2=4x+7n=4x+7-2n=4x+5Option D
I’m don’t have much points please help
~Denki Kaminari here~
Answer:
JGH
Step-by-step explanation:
it can be proven because there is the measurement of "P".
hope this helps :D
Find the indicated arc and angle measures:
с
D
F
DO
B
70960
E
A
arc AB Degree:
arc BC Degrees:
arc ABC Degrees:
arc CDB Degrees:
Answer:
arc AB = 70°
arc BC = 110°
arc ABC = 180°
arc CDB = 250°
Step-by-step explanation:
Since these angles are not inscribed, but are at the center point of the circle, the angles and arcs will be the same measure.
Solve for arc AB:
Angle AFB = 70°, so arc AB = 70°
Solve for arc BC:
Angle AFC is a straight angle so it is 180°. To find angle BFC, subtract angle AFB from 180°.
180 - 70 = 110°
Since angle BFC = 110°, arc BC = 110°
Solve for arc ABC:
Add arc AB and arc BC together.
70° + 110° = 180°
arc ABC = 180°
Solve for arc CDB:
There are 360° in a cirlce. To find arc CDB, subtract arc BC from 360°.
360° - 110° = 250°
arc CDB = 250°
PLEASE ANSWER WITH SOLUTION PLS
1. A student scored 235 marks in the examination out of 300 marks. Calculate the percentage of marks secured by the student.
2. In an election, Magie N. Hawa got 70% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560, find the number of valid vote polled in favour of Magie N. Hawa.
3. there are 108 girls in a school. 70% of the pupils in the school are boys. How many pupils are there in the school altogether?
Answer:
See below ↓
Step-by-step explanation:
1.
Score of the student on examination = marks scored / total marksScore = 235/300 [Divide throughout by 5]Score = 47/60 [Using long division, approximate to tenths place]Score = 0.783 [Multiply with 100 to convert decimals → percentage]Score = 78.3%2.
Total valid votes = 560 x (100 - 15)%Total valid votes = 560 x 0.85Total valid votes = 476Votes for Magie N. Hawa = 476 x 70%Votes for Magie N. Hawa = 333.2 ≅ 333 votes3.
108 girls = (100 - 70)% of pupils108 / 0.3 = number of pupils360 pupilsPlease Help and explain
Im not to sure how to do this
Answer:
I think the answer is C
Step-by-step explanation:
I really need help with this.
Answer:
See attachment
Step-by-step explanation:
See attached image.
Helpppp please
Arusha decides to build the prism using two cubes with edge lengths of 5 centimeters. She will partially fill the prism with 150 cubic centimeters of sand. What fraction of the prism's volume will bring filled by the sand? Show your work
Using the volume of the cube, it is found that the fraction of the prism's volume will bring filled by the sand is of [tex]\frac{3}{5}[/tex].
What is the volume of a cube?The volume of a cube of edge length l is given by:
V = l³.
In this problem, there are two cubes, each with edge length of l = 5 cm, hence, the total volume is given by:
V = 2 x l³ = 2 x (5 cm)³ = 250 cm³.
150 cm³ will be filled with sand, hence the fraction is given by:
[tex]\frac{150}{250} = \frac{15}{25} = \frac{3}{5}[/tex]
More can be learned about the volume of a cube at https://brainly.com/question/13030328
Is –49 − –78 positive or negative?
Answer:
This is positive
Step-by-step explanation:
A "double negative" will always be positive. The equation should be rewritten as -49+78, the answer is 29.
Answer:
This one will be postive
Step-by-step explanation:
–49 − –78 is positve 29
It comes out to a positive because you are subtracting by a negative.
Hope that helps!
Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta. And his brother 1/6 of the pot. How much of the pot is left over?
Answer:
9/12 or 3/4
Step-by-step explanation:
1/6 = 2/12
2/12 + 1/12 = 3/12
12/12 - 3/12 = 9/12
9/12 simplified is 3/4
A motorboat with the current went 72 mi in 4 hours. Against the current, the motorboat could go
only 40 mi in the same amount of time. Find the rate of the motorboat in calm water.
Answer:
14 mph
Step-by-step explanation:
Speed of boat in calm water = x
Speed of current = y
Speed of boat with the current = 72 mi / 4 hr = 18 mph
Speed of boat against current = 40 mi / 4 hr = 10 mph
x + y = 18
x - y = 10
2x = 28
x = 14
Answer: 14 mph
Answer:
14 m/hr
Step-by-step explanation:
72 m / 4 hr = 18 m/hr
40 m / 4 hr = 10 m/hr
still water speed = (18+ 10 )/2 = 14 m/hr
current speed (14 -x) 4 = 40
x = current speed = 4 m/hr
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
Mode: 7
Range: 6
Step-by-step explanation:
Think of the M and O in "mode" as "most often." The mode is the number that appears more than any other.
Range is the difference (subtraction) between the smallest number and largest number in the data. So we have 3, 5, 5, 7, 7, 7, 7, 7, 8, 8, and 9. We take the largest number, 9, and subtract the smallest number, 3, from it.
9-3 = 6
In the future, if you come across "median," that means to put all of the numbers in order from least to greatest and whatever number is in the middle will be the median. Think of the median of a road, which is at the center. The median in this data set would be 7. If you have two different numbers in the center, find the number between those two. For example: if the two median numbers were 7 and 8, the median would be 7.5.
The mean is the sum of all of the numbers, divided by two. So for this data set, you would do 3+5+5+7+7+7+7+7+8+8+9. Then, you would take the total and divide it by 2.
73 / 2 = 36.5
A customer will choose one card to buy a random. Based on the data in the table, which statement is true? Help!
Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equation of line k? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
(I figured it out y=3/2 x +7)
Answer:
y = [tex]\frac{3}{2}[/tex] x + 7
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y - 8 = - [tex]\frac{2}{3}[/tex] (x + 5) ← is in point- slope form
with m = - [tex]\frac{2}{3}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex]
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
to find c substitute (- 6, - 2 ) into the partial equation
- 2 = - 9 + c ⇒ c = - 2 + 9 = 7
y = [tex]\frac{3}{2}[/tex] x + 7 ← equation of line K
The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given as,
y - 8 = -2/3(x+5)
The equation of the line that is perpendicular to the line y - 8 = -2/3(x+5) is given as,
y = 3/2x + c
The line is passing through (-6, -2), then we have
-2 = 3/2(-6) + c
-2 = -9 + c
c = 7
The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.
More about the equation of a perpendicular line link is given below.
https://brainly.com/question/14200719
#SPJ2
Which of the objects below best holds 1 gallon? A. bathtub B. milk jug C. measuring cup O D. glass of water
Answer: B: milk jug
Step-by-step explanation:
A gallon is equivalent to 128 oz and a glass of water would not be able to hold that capacity, neither can a bathtub because a bathtub would need more than 1 gallon of water to fill it up. A measuring cup is usually used for cooking etc... and usually the measurements aren't measured by gallons. So the only realistic answer it would be is a milk jug.
Please help! This is past due, and I’m a little confused.
For problems 12-15, name each of the polygons represented by the traffic signs. Write yes or no whether the polygon appears to be regular.
Answer:
12. Octagon, Regular
13. Triangle, Regular
14. Rectangle, Irregular
15. Pentagon, Irregular
Step-by-step explanation:
Irregular vs. regular boils down to whether the sides and angles of the figure are all equal. In figures 14 and 15, the sides are clearly not all the same length, so they are irregular.
The perimeter of a triangle is 29cm. The length of side 2 is double the length of side 1 the length of side 3 is 5 more than side 1. Find the side length of the triangle
Answer: 6 cm, 11 cm, 12 cm
Step-by-step explanation:
(40 POINT REWARD)
Find the measure of angle b.
(Picture below.)
Answer:
b= 26 degrees
Step-by-step explanation:
A whole circle is equal to 360 degrees, so subtract 298 from it and get 62.
62 is the gap and also the value of the whole angle b+36.
Subtract 36 from 62 to get b.
62-36 = 26 degrees
Your answer!
HURRY!!!! I ONLY HAVE 1 MIN!!!!!!
A rectangular prism is 3 meters long, 5 meters wide, and has a height of 10 meters. What is its surface area?
100 m 2
50 m 2
190 m 2
95 m 2
Answer:
190 cm^2
Step-by-step explanation:
Top and Bottom = 2(3*10)=60cm
Sides = 2(5*10)=100
Front and Back =2(3*5)=30
total = 190
Answer:
mew
Step-by-step explanation:
The dimensions of a rectangular garden were 5 m by 12 m. Each dimension was increased by the same amount. The garden then had an area of 120 m2. Find the dimensions of the new garden.
if dimensions were 5 and 12, that means ratio was 5:12. if we increase wach dimension by the same amount, the ratio is the same.
so:
5x×12x=120
60x²=120
x²=120÷60
x²=2
x=√2
that means each dimension was increased by √2
so dimensions are: 5√2 and 12√2
HELP ASAP I NEED THIS ANSWERED AS SOON AS POSSIBLE
Answer:
g(1) = 1
Step-by-step explanation:
we use the last equation since it can be used when x is not -2 or -1
if we plug in 1 in the equation the answer will be 1
