Based on the calculations using the given x-intercept of this graph, the value of a is equal to 11.
What is a linear function?A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
In Mathematics, the y-intercept of any graph (parabola) occurs at the point where the value of "x" is equal to zero (0). Similarly, the x-intercept refers to the point at which the graph of a function crosses the x-axis and the value of "y" is equal to zero (0).
Given that the x-intercept is at (a, 0), we would simply substitute the given points as follows:
y = (x − 4)^2 − 49
0 = (a − 4)^2 − 49
(a − 4)^2 = 49
Taking the square of both sides, we have:
a - 4 = √49
a - 4 = 7
a = 7 + 4
a = 11.
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Find the value of the variables
Answer:
x=2
y=7
Step-by-step explanation:
Since we know that the object is a rectangle, we know that the opposite sides are equal to each other. Thus:
9 = y+2
and
2y = 7x
Using algebra we can solve the first equation:
9 = y+2
9-2 = y
7 = y
Now we can use substitution:
2y = 7x
2(7)=7x
14=7x
x=2
1. Find the GCF of the terms of each polynomial.
a. 15x2 + 18
Answer:
4894-
Step-by-step explanation:
dsfghbsvacfvgb VSCDFVRGb vzxVfd xvf cdv
Leo has already taken 1 page of notes on his own, and he will take 1 page during each hour
of class. In hall, how many hours will Leo have to spend in class before he will have a total of
50 pages of notes in his notebook?
Answer:
49 Hours
Step-by-step explanation:
If it takes him 1 hour to finish 1 page of notes and he already finished 1, he would need to do a total of 49 hours to get 49 more pages done.
Hope this helps!
i’ve tried to figure it out && i can’t figure it out,, any help ?
Answer:
y = -4x - 11
Step-by-step explanation:
slope intercept form:
y = mx + b
Find y-intercept with slope of -4 and passes through point (-3, 1):
y = mx + b
1 = -4(-3) + b
1 = 12 + b
b = -11 <======== y-intercept
Equation using the given slope of -4 and y-intercept above:
y = mx + b
y = -4x - 11
Is the given sequence arithmetic? If so identify the common difference. 3,8,13,28
Answer:
yes,5
Step-by-step explanation:
3x-2y=10
y=2x-5
I NEED HELP PLS
please help. Which number(s) below belong to the solution set of the inequality? Check all that apply. 9x > 117
the arrow like symbol has a line under it
A. 14
B. 8
C. 12
D. 13
E. 19
F. 6
Answer:
A, d and e
Step-by-step explanation:
So take the numbers a multiply them by nine. if they are more than 117, then they are correct, but with D 9x13 is equal to 117 so it is part of the solution set.
Helppp! I’m stuck on this . What is the weekly profit ?
Answer:
$901
Step-by-step explanation:
x=37units
48 (37) - 875
1776-875
901
PLS HELP WILL GIVE 25 POINTS
by what percent should jack increase the number x to get 9/4*x
Answer:
125%
Sorry for no explaination ;-;
Find the length of the missing side
Answer:
52
Step-by-step explanation:
To solve, use the Pythagorean Theorem, which says c² = a² + b². Enter 20 as a and 48 as b and square them both. This will give you 400 for a, and 2304 as b. Add them to get 2704. So, c² = 2704. Find the square root of this to get 52. So, the third side is 52 in length.
Approximate the distance between (-1, -3) and (1, 3) to the nearest tenth
Answer: The distance or d = 6.324555
For:
(X1, Y1) = (-1, -3)
(X2, Y2) = (1, 3)
Step-by-step explanation:
Distance Equation Solution: This picture of the work out problem will show you how you would work it out.
Which is more, 49 ounces or 3 pounds?
Answer:
The answer is 49
Step-by-step explanation:
Because 48 oz is 3 pounds but their one more there for.
Lamar ate 35% of the candies in the bag. If Lamar ate 28 candies, how many candies were there total in the bag?
Answer:
80
Step-by-step explanation:
suppose the depth of the tide in a certain harbor can be modeled by y = 20 + 5 cos (pi/6 t), where y is the water depth in feet and t is the time in hours. Consider a day in which t = 0 represents 12:00 midnight. For that day, when are high tide and low tide and what is depth of each
Answer:
- high tide occurs at 12 noon and 12 midnight
- Low tide occurs at 6 a.m and 6 p.m
- maximum depth value = 20 ft
- Minimum depth value = 15 ft
Step-by-step explanation:
The depth is modelled as;
y = 20 + 5 cos (πt/6)
We are told that t = 0 represents 12:00 midnight.
This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.
Max depth value is;
y = 20 + 5(0)
y = 20 ft
Minimum depth value will be the low tide and it will be when the cos function is equal to -1.
Thus;
y = 20 + 5(-1)
y = 15 ft
Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;
12 noon
Also, let's check for low tide.
Let's try t = 6 which means 6 a.m
Thus;
y = 20 + 5 cos (π(6)/6)
y = 20 + 5 cos π
Cos π has a value of -1
Thus;
y = 20 + 5(-1)
y = 20 - 5
y = 15 ft
Thus;
Low tide occurs at 6 a.m and 6 p.m
What has been your biggest learning for this year?
Answer: my biggest learning is for this year is how bill of rights works
Step-by-step explanation:
The height of a painting is 65ft. between which two consecutive whole numbers is 65?
The height of painting lies between 8 and 9 feet.
The square numbers before and after 65 are 64 and 81 respectively. Further, 64 is the square of 8 and 81 is the square 9. This indicates that √65 will lie between the whole numbers 8 and 9. The whole numbers are defined as the numbers who are an integer and do not have fractions.
Since 65 is close to square number 64 rather than square number 81, the square root of 65 should also be close to the whole number 8.
Thus, it is evident that height of the walls lie between two consecutive whole numbers 8 and 9.
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The complete question is -
The height of a painting is √65. Between which two consecutive whole numbers is √65?
Desperately need help
The values of A, B and C that would complete the table is 0, -3 and -7 respectively.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation y = -2x - 3. Using the table of values:
When x = -1; y = -2(-1) - 3 = 0
When x = 0; y = -2(0) - 3 = -3
When x = 2; y = -2(2) - 3 = -7
The values of A, B and C that would complete the table is 0, -3 and -7 respectively.
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A large deer population lives in Pleasant view. As more and more people move to the city, the deer population is on the decline. Current deer population is 1600. It is declining 12% each year. What is the Equation, and table of values ?
em 2008 lançou o primeiro voto que não sei de quem não sei
Example 3: The following data was collected by a taxi driver who was interested in how much fuel he used on different journeys. Length of journey 100 250 150 180 220 (miles) 300 Fuel Used (liters) 24 59 44 50 59 97 Estimate how much fuel would be needed for a 200-mile journey.
Answer:
For a 200 mile journey, 55.5 liters of fuel
is needed
Step-by-step explanation:
Here, we want to estimate the fuel needed for a 200 mile journey
we can use this by having an average
By adding all and dividing by 6
Mathematically, that will be;
(24 + 59 + 44 + 50 + 59 + 97)/6
= 55.5
The reason for this is because if we added all the lengths and divide by 6, what we get is 200
Thus, if we added the liters of fuel used per each and divide by 6, we can have an estimate for a 200-mile journey
What is the coordinate of the solution for the following equations? y = 4x – 9 y = -3x + 12
Answer:
x = 60/17, y = 24/17
Step-by-step explanation:
Solve the equation. Enter your answer in the box. 42 = y + 15
Answer:
y=27
Step-by-step explanation:
Simplifying
42 = y + 15
Reorder the terms:
42 = 15 + y
Solving
42 = 15 + y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-1y' to each side of the equation.
42 + -1y = 15 + y + -1y
Combine like terms: y + -1y = 0
42 + -1y = 15 + 0
42 + -1y = 15
Add '-42' to each side of the equation.
42 + -42 + -1y = 15 + -42
Combine like terms: 42 + -42 = 0
0 + -1y = 15 + -42
-1y = 15 + -42
Combine like terms: 15 + -42 = -27
-1y = -27
Divide each side by '-1'.
y = 27
Simplifying
y = 27
Answer:
27
Step-by-step explanation:
PLEASE ANSWER ASAP !!!!!
Benjamin deposit $3,000 into each of two savings accounts the first savings account pays 5% interest compounded annually the second savings account pays 5% simple interest annually if Benjamin makes no other deposits or withdrawals what will be the difference between the interest earned by the two savings accounts after 4 years?
A) $46.52
B) $28.8
C) $646.52
D) $3,046.52
Answer:
The answer is B
Step-by-step explanation:
Emma goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Emma pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Emma golfs?
Answer:
The equation that can be used to determine the number of rounds that Emma golfs is:
x=(c-7.50)/6.25
Step-by-step explanation:
From the information given, the total amount Emma pays to go miniature golfing is equal to the price of the admission ticket plus the result of multiplying the price per round of golf for the number of rounds and according to this, the equation would be:
c=7.50+6.25x, where:
c is the total cost for Emma to go miniature golfing
x is the number of rounds
Now, you can solve for x to determine the equation that can be used to find the number of rounds that Emma golfs:
x=(c-7.50)/6.25
You can replace c with 26.25:
x=(26.25-7.50)/6.25
x=18.75/6.25
x=3
A department store sells a pair of shoes with an 87% markup. If the store-bought
the pair of shoes for $55.25, what is the selling price to the nearest dollar?
Answer:
Step-by-step explanation:
55.25x.87=48.07
55.25+48.07=103.32
Round each number to the specified place value.
81.23 (whole number-ones)
13.567 (tenths)
Answer:
81
13.6
Step-by-step explanation:
When rounding 81.23 to the ones place, look at the following spot, the tenths place, to determine whether to round up or down. If the value is 4 or less, round down. If the value is 5 or greater, round up. 2 is less than 4, so round 81.23 to 81.
Since we're looking to round 13.567 to the nearest tenth, look at the value of the number in the hundreths spot. Repeat the same process as above. 6 is greater than 4, so round 13.567 to 13.6.
Finals Help plzzzzzzzzzzzzz
(Will mark Brainliest)
Answer:
because they are clearly the same shap but not the same size
Step-by-step explanation:
def of similar (also what ~ means) Two figures that have the same shape are said to be similar.
Find the value of f(8)
Answer:
y= -4
Step-by-step explanation:
Show how to solve this two step problem. My item is 40% off. The original price is X. Explain the two one step equations you would use to solve this (to find the sales price). a. Now, I figured out that the original cost was $145, what is the real sales price?
pls solve the question attached
Answer:
The answer is 75.011
add the given values only make sure the decimal points are in the same line