Answers
We can use the vertex form of the quadratic function:
f(x) = a(x - h)^2 + k
where:
Vertex = (h, k)
“a” determines whether the graph opens up or down.
* If “a” is negative, the graph opens down.
The value of “a” also makes the parent function wider or narrower.
The value of “h” determines how far left or right the parent function is translated.
The value of “k” determines how far up or down the parent function is translated.
Given these information, we can plug in the value of the vertex into the vertex form:
f(x) = a(x - h)^2 + k
f(x) = a(x - 2)^2 + 7
Next, to solve for “a”, we can use one of the points on the graph, (1, 5), and plug these values into the equation:
f(x) = a(x - 2)^2 + 7
5 = a(1 - 2)^2 + 7
5 = a(-1)^2 + 7
5 = a(1) + 7
Subtract 7 from both sides:
5 - 7 = a(1) + 7 - 7
-2 = a
Therefore, a = -2. Now, we can establish the following quadratic function in vertex form:
f(x) = -2(x - 2)^2 + 7
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Related Questions
Choose all options that apply. Which of the following are considered whole numbers? a) 0 b) 219 Oc) 6.75 d) 1/2 Oe) 2
Answers
Answer:
a) 0, b) 219, e) 2
Step-by-step explanation:
A whole number is any non-negative integer, so no fractions, decimals, or negative numbers. Anything else however works.
How can 6.38 x 0.08 = 6.9768? (Show your steps please!)
Answers
Answer:
6.38 × 0.08 = 5,104 not 6,9768 .
step by step attached
Tickles has received 20% of his IV fluids from her 250mL bag, how many mLs has she received?
Please show work!
Answers
Answer:
50 mL
Step-by-step explanation:
<33
Answer:
50mL
Step-by-step explanation:
20% = 1/5
1/5 of 250 is 50
Therefore, she received 50mL of IV fluids.
Hope this helped!
3x + 4y = 8
Is it linear? If so how do I graph it
Answers
It is a negative slope
I am attaching pic of graph
The slope is -3/4
Y intercept is (0,2)
work out the percentage change when a price of £70 is decreased to £49
Answers
Answer:
30% decrease in price
Step-by-step explanation:
Since 70-49=21, we know that the price decreased by 30 pounds. The formula to find a percentage decrease is that you should then divide the original number(70) by 21(that equals 0.3!) 0.3 as a percentage would then be 30%, so the answer is there is a 30% decrease in price.
Solve the equation for the indicated variable. 2x - 3y = 15 for y.
Answers
Answer:
y=-5+2/3(x)
Step-by-step explanation:
take 2x-3y=15, then subtract 2x from both sides
-2x -2x
that gives you -3y=15-2x
divide by -3
-3y=15-2x
________
3
that gives you y=-5+2/3(x)
Which conic's equation has 2 squares with the same signs and different leading coefficients?
Answers
We want to see which is the conic equation that has 2 squares with the same sign and different leading coefficients.
We will see that it is the equation of the ellipse.
Now let's see why that is the correct answer.
The general conic equation is of the form:
[tex]A*(x - a)^2 + B*(x - b)^2 = R^2[/tex]
Where A and B are the leading coefficients, (a, b) is the center of the figure, and R is the average radius of the figure.
For example, if A = B, this would be the equation of a circle, but we must have two different leading coefficients.
If we write:
A = 1/C
B = 1/K
(both are positive, because "it has two squares with the same signs").
Then we get the equation:
[tex]\frac{ (x - a)^2}{C} + \frac{(x - b)^2}{K} = R^2[/tex]
We get the equation we wanted.
The same sign in both square parts and different leading coefficients.
The above equation is the general equation of an ellipse.
If you want to learn more, you can read:
https://brainly.com/question/10311514
Twice the larger of two consecutive integers is equal to fifteen less than three times the smaller. Find the
two integers.
Answers
Answer:
Step-by-step explanation:
2*x = 3(x - 1)-15 Remove the brackets
The larger of two consecutive integers is x
The smaller of two consecutive integers is x - 1
2x = 3x - 3 - 15 Combine the right
2x = 3x - 18 Subtract 3x from both sides
2x - 3x = 3x-3x - 18 Combine
-x = - 18 Multiply by - 1
x = 18
x - 1 = 17
Can someone pls help me with this under 20 mins and give step by step explanation and will give BRAINLIEST ANSWER WILL REPORT IF FIDNT EXPLAIN THE SPECIFIC ANSWER
Answers
Answer:
-45
Step-by-step explanation:
Get a common denominator
4y/9-6y/9=10
-2y/9=10
Multiply by 9
-2y=90
Divide by -2
y = -45
find the value of 5 root upto three decimal places
Answers
Answer:
√5 = 2.236.
Hence the value of root 5 up to 3 decimal places is 2.236.
Hope you’re having a positive day ❤️
Ben is a waiter at a restaurant. on Saturday, Ben got up at 6:30am, started work at X.am and finished work at X.pm. how long in hours did Ben work that Saturday
Answers
Answer:
12 hours
Step-by-step explanation:
X = 6:30
From 6:30 am to 6:30 pm = 12 hr
The number of hours that Ben worked at the restaurant can be calculated by the expression, Xpm - Xam.
The number of hours that Ben worked can be represented as:
= Time he finished working - Time he started working
= X pm - X am
If for instance, he started work at 7 am and finished at 12 pm, he would have worked:
= 12 - 7
= 5 hours
The expression that shows the length of time he worked can therefore be concluded to Xpm - Xam.
Find out more at https://brainly.com/question/23399575.
Select the correct
function
that represents
this data.
1
2
3
4
5
Out
13
22
31
40
49
[?]
A. f(x) = 9x + 4
B. f(x) = 9x - 4
C. f(x) = (x/9) + 4
Answers
f(x) = 9x+4
here,9*1+4=13
9*2+4=22
9*2+4=31
.
.
.
Help me pls thank you
Answers
Answer:
7
Step-by-step explanation:
To solve this, we have to solve for h.
We can use order of operations to figure this one out.
[tex]18h-9h-7h+3=17\\18h-9h-7h=14[/tex]
Now that every variable on the left side of the equation has an h, we can factor.
[tex]h(18-9-7)=14\\h=\frac{14}{18-9-7} \\h=\frac{14}{2} \\h=7[/tex]
Answer:
6
I just did some trial and error with the numbers
186-96-76+3=17
Unless I did it wrong, then just ignore this answer
Which of the following number sentences is an example of the Distributive Property?
7 × (10 + 9) = (7 × 10) + (10 × 9)
7 × (10 + 9) = (7 + 10) x 9
7 × (10 + 9) = (7 × 10) + 9
7 × (10 + 9) = (7 × 10) + (7 × 9)
Answers
Answer:
d. 7 × (10 + 9) = (7 × 10) + (7 × 9)
Step-by-step explanation:
The format of writing numbers in distributive property is a(b+c) = (a×b)+(a×c)
We can see that in choice d. 7 × (10 + 9) = (7 × 10) + (7 × 9) it is in correct format of writing numbers in distributive property. Thus, choice d. is correct.
Verification:-
a(b+c) = (a×b)+(a×c)
7 × (10 + 9) = (7 × 10) + (7 × 9)
Martin is selling chocolate bars for a fundraiser. His goal is to sell 500 chocolate bars to win the top prize. He can sell 11 per hour by standing in front of the local grocery store. He already sold 258, and he uses the equation 11x+258=500 to find out how many more hours he needs to sell for.
Solve for x.
Answers
Answer:
X=22
Step-by-step explanation:
258 ÷ 11 = 23.454 repeating. 22 = X is the closest answer to 23. High chance it is 22.
What is the completely factored form of f(x) = x^3-7x^2 2x +4?
Answers
PLZ SOMEONE I NEED HELP
Answers
Hope this helps
please answer this efwefrwgrehreherh
Answers
Answer:
2.8n.8n.8n.8n
option no. 4
2 • 8n • 8n • 8n • 8n
Decomposing (8n)^4 into “8n • 8n • 8n • 8n” reflects the Power-to-Power Rule of exponents, (ab)^m = a^m • b^m.
The exponent, 4, doesn’t apply to 2 because it is outside the parenthesis.
Please mark my answers as the Brainliest if you find this explanation helpful :)
2 math problems! Find the exact value of: (in picture) Please someone help me, thank youu
Answers
Answer
[tex]\frac{4}{5}[/tex]；0
Step-by-step explanation:
Log3 81- loge 1=4-0=4
And then 2 minus negative 3 is 5 so the answer is 4/5
144, 0
Question is based on Fraction
A man intended to distribute a certain amount of money he had, by giving 2/5 to his wife and the remaining amount equally to his three sons. However, he had to give 1/6 of this amount to his brother before he distributed it as intended. He distributed the remaining amount as originally intended.
Q1. The amount a son received was 40000 rupees less than the amount he was to receive originally. Find the amount the man had intially ?
Answers
9514 1404 393
Answer:
12,00,000 rupees
Step-by-step explanation:
The fraction originally intended for each son was ...
(1/3)(1 -2/5) = 1/3(3/5) = 1/5
The fraction each son actually received was ...
(1 -1/6)(1/5) = (5/6)(1/5) = 1/6
The difference in these amounts as a fraction of the original distribution is ...
1/5 - 1/6 = (6/30) -(5/30) = 1/30
Then the original distribution is 30 times this difference:
30×40000 rupees = 12,00,000 rupees
_____
Additional comment
Originally-intended distribution (rupees):
wife: 4,80,000each son: 2,40,000Actual distribution:
brother: 2,00,000wife: 4,00,000each son: 2,00,0001,00,000 = 1 lakh
The driving distance from Los Angeles to a Chicago is 2,054 mi. The distance from Chicago to Boston is 983 mi. About how many miles is the drive from Los Angeles to Boston though Chicago?
Answers
Step-by-step explanation:
given :
The driving distance from Los Angeles to a Chicago is 2,054 mi. The distance from Chicago to Boston is 983 mi.
so, the numbers of mile driving from Los Angeles to Boston though Chicago =
2,054 + 983 = 3.037 mi
Hey can anyone help me with this problem please and thank you !
Answers
Answer:
x = 16
Step-by-step explanation:
6x + 3 = 7x -19
3 + 19 = 7x - 6x
22 = x
so
=6x + 3
=6× 22 +3
=135°
then
=7x - 19
=7 × 22 -19
=135°
Answer:
(6x+3)=(7x-19)
-x+3=-19
-x=-22
x=22
Step-by-step explanation:
√(−x^2+3x−2)=4
Find the domain and solve.
Answers
Answer:
lol this is easy use a cal 4 x
Step-by-step explanation:
Solve the inequality 5x < 16 + x.
Answers
Answer:
add x to 5x to get 6xdivide 16 by 6 to get x alone then whatever 16÷6 is, that is the solutionAnswer:
x < 4
Step-by-step explanation:
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please help i really need to finish these Part A and Part B Questions please, please look at the two screen shots
Answers
Solve this problem |6-2x| = 4
Answers
the answer is 14 !
Step-by-step explanation:
sorry i think its 14 its 14 beacuse if u subtract 16-2=14 14x1=14
Predict the next term in the sequence of numbers.
2,5, 4, 10, 8, 20,
Answers
Explanation: 2 x 4 = 8 ; 8 x 2 = 16
The next term of the sequence of the numbers 2, 5, 4, 10, 8, 20, is 16.
What is a squence?A Sequence is a list of numbers that are in order. Sequence follows a particular pattern.
Therefore, let's study the pattern of the sequence to know the next term.
2, 5, 4, 10, 8, 20,
The pattern can be explained as follows;
2(2) = 4
5(2) = 10
10(2) = 20
8(2) = 16
Therefore, the next term of the sequence of the number is 16.
learn more on sequence here: https://brainly.com/question/970732
Please help me on this question
Answers
Answer:
Angle 4 and angle 5 also equal 180
Because angles 4 and 5 are supplementary angles (two angles that add to 180) and because 4 and 5 equal 180 that means that 5 equals 6. So 5 and 6 are congruence angels
In the diagram, how many circles are there for each square?
OA. 1
OB. 2
OC 12
OD. 18
Answers
Answer:
there are 2 circles for each square
Answer:
OC 12
Step-by-step explanation:
:)
How can unit analysis help you solve a conversion problem?
Answers
Unit analysis is a method used to convert from one unit of measure to another. In a unit analysis problem, we place measurements into fraction form, build a product of fractions, and eliminate unwanted units. The steps for performing a unit analysis are as follows: Determine what conversion facts are needed