Answer:
The range of the equation is y ≥ 9 ⇒ C
Step-by-step explanation:
The quadratic equation y = ax² + bx + c, represents by a parabola of vertex (h, k), where h = [tex]\frac{-b}{2a}[/tex] and k is the value of y at x = h
The range of the quadratic if it has a minimum vertex is y ≥ k, and y ≤ k if it has a maximum vertexThe parabola has a minimum vertex if the value of a is positive and a maximum vertex if the value of a is negative∵ The equation is y = x² + 9
→ Compare it with the form above to find a and b
∴ a = 1 and b = 0
∵ a is a positive number
∴ The parabola has a minimum vertex
→ By using the 1st rule above
∴ The range is y ≥ k
→ Use the rule of h above to find it
∵ h = [tex]\frac{-(0)}{2(1)}[/tex] = [tex]\frac{0}{2}[/tex]
∴ h = 0
→ To find k substitute x by the value of h and y by k
∵ k = (0)² + 9
∴ k = 0 + 9
∴ k = 9
∴ The range of the equation is y ≥ 9
2x+3y=3
y=8-3x
The value of y is substituted back into the first equation what is the resulting equation?
what is the value of x?
what is the value of y?
Answer:
2x + 3 (8 - 3x) = 3
x = 3
y = -1
Step-by-step explanation:
pretty sure thats right! have a great day!
–5x + 4 – x –1 a. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: -1 b. terms: -5x, 4, -x; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 c. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 d. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: 4, -1; constants: -5, -1
Given:
The expression is
[tex]-5x+4-x-1[/tex]
To find:
The terms, like terms, coefficients and constants.
Solution:
We have,
[tex]-5x+4-x-1[/tex]
It can be written as
[tex]=(-5x)+4+(-x)+(-1)[/tex]
So, terms are [tex]-5x,4,-x,-1[/tex].
It two terms have same variable of same degree, then they are called like terms.
[tex]-5x,-x[/tex] are likes terms because degree of variable is 1 and 4, -1 are like terms because degree of variable is 0.
In the product of a number and a variable, the number is called coefficient.
Variable terms are [tex]-5x,-x[/tex]. So, coefficients are -5 and -1.
Constant terms are free from variable. So, constant terms are 4 and -1.
Terms: [tex]-5x,4,-x,-1[/tex];
Like terms: [tex]-5x, -x;4, -1[/tex];
Coefficients: -5, -1;
Constants: 4, -1
Therefore, the correct option is c.
What are the zeros of the function (x) = x2 – 3x+2?
Step-by-step explanation:
f(x) = x² - 3x + 2 = (x - 2)(x - 1).
When f(x) = 0, (x - 2)(x - 1) = 0.
=> x = 2 or x = 1.
Italic
Help I need help this is a question I don’t understand
Answer:
Triangle ADB is an isosceles triangle that has been split in half. Isosceles triangles are triangles whose base angles are equal and has 2 equal side lengths. For example triangle ADB has AD and DB equal along with m<a and m<b equal
Therefore, if we split this triangle into two half's then they are congruent (the same)
Right triangles have a 90° angle, usually marked by a square
this means that m<DCA is 90°;AD=DB=14m; CB=AC=11; AB=AC+CB=22
Step-by-step explanation:
Estimate 307% of 29.
Answer:
89.03
Step-by-step explanation:
29x3.07=89.03
i need help please i would do anything
The answer is
Step-by-step explanation:
Since there is 3 even numbers and 3 odd numbers it makes a 50/50 chance when spun once. If you spin it 60 times you will have spun it 30 times theoretically.
can anyone answer -9(x-8) and show work ?
Answer:
-9x + 72
Step-by-step explanation:
1. -9(x-8)
2. distribute the 9. --> -9x + 72
HELP PLEASE!!! NOW :(
Which of these best describes the location of (9,0) on a coordinate grid? Question 12 options: In Quadrant I In Quadrant II On the x-axis On the y-axis
Help quick!
Step-by-step explanation:
Quadrant I: Both values are positive.
Quadrant II: x-value is -ve, y-value is +ve.
On the x-axis: y-value is 0.
On the y-axis: x-value is 0.
The point (9, 0) has a y-value of 0.
=> It lies on the x-axis.
Which of the following graphs correctly shows the image of the figure after a translation 4 units left and 3 units down?
Answer:
Option 2
Step-by-step explanation:
You can find the answer by just counting to the left and down
Someone good at math pls help me:)
Answer:
B) (-2,6)
Step-by-step explanation:
Where do the two lines intersect? That is where the solution is.
Hope this helps
Answer:
I believe the answer B ( I think)
What's the area of the quarter circle if the diameter is 3 inches?
Answer:
Area of the full circle(A)= pi*d^2/4
A=3.143*3^2/4
A=7.07in^2
Area of the Quarter of the circle(B)
B=1/4A
B=1.77in^2
Step-by-step explanation:
4x^2 - 12x - 3
what would the answer be if x = 7
Answer:
= 3 /2 ± √ 3
Step-by-step explanation:
hiii please help! i’ll give brainliest if you give a correct answer tysm!
Answer:
The answer is D
Step-by-step explanation:
You cross multiply 5 and 5 and 2 and 6 to create a new fraction
Answer:
12/25
Step-by-step explanation:
so what you would do is keep the first fraction (2/5) then change the symbol then flip the last fraction (5/6). so then you would multiply 2*6= 12 and 5*5=25. so the answer would be 12/25.
If the sin 60 degrees is 3/2, then the cos ______ degrees = ______.
Answer: If the sin 60 degrees is 3/2, then the cost is 22 degrees and equals a bunch of like 88 degrees
Step-by-step explanation:
The 2th term of The A.P is 7 and 9th term is 28, Find The comon difference and The first term.
help me please
Answer:
difference = 3, first term = 4
Step-by-step explanation:
given, a2 = 7
a9 = 28
wkt, a2 = a + d = 7
a9 = a + 8d = 28
- 7d = - 21
therefore d = 3
and wkt, d = a2 - a
a = 7 - 3 = 4
HOPE THIS HELPS
Your thrteater company sells tickets to their holiday showing off the nutcracker. Tickets cost $5 each. Tickets for adults cost $8 each. The total sales on opening night is $720. Write an equation to show the total sales as a combanation of kid tickets and adult tickets sold.
Answer:
5x + 8y = 720
Step-by-step explanation:
Let the :
Number of kid tickets sold = x
Number of adult tickets sold = y
Hence:
Tickets for kids cost $5 each.
Tickets for adults cost $8 each.
The total sales on opening night is $720.
The equation to show the total sales as a combanation of kid tickets and adult tickets sold is:
$5 × x + $8 × y = $720
5x + 8y = 720
Therefore, the equation to show the total sales as a combanation of kid tickets and adult tickets sold is
5x + 8y = 720
Nasser is following this recipe to make flapjacks.
Nasser uses 1.4 kg of sugar.
How many flapjacks is Nasser making?
Recipe: Makes 12 flapjacks
140 g margarine
175 g sugar
200 ml syrup
200 g oats
40 g sultanas
Answer:
96
Step-by-step explanation:
12 flapjacks=175g sugar
0.06857142857 flapjacks= 1g sugar
1400g sugar
96flapjacks=1400g sugar
i hope i helped<3
Answer:
96
Step-by-step explanation:
You can Trust me cuz our work is same
The equation of the line graphed below could be which of the following?
Please help ASAP
Answer:
4.
Step-by-step explanation:
First, you have to decide whether the slope is negative or positive. Since the line is going diagonally upward, it is positive.
That means the answer has to be either 3 or 4.
Next, you have to decide whether the y-intercept is negative or positive, on the graph, you can see that it is positive.
Answer choice 4 is the only equation where both the slope and the y-intercept are positive, so it is the answer.
When plotting points on the coordinate plane below, which point would lie on the x-axis?
Answer:
If you plot the points you can easily find the answer. (X,Y) The x-axis is the horizontal line and the y-axis is the vertical line.
Step-by-step explanation:
Mark me as brainlist
Please help!!!
Composition of functions~
Answer:
option D
Step-by-step explanation:
First you must find g(n) given that n is -3n:
g(-3n) = -3n - 1
Then plug that in f(n) as the new n:
f(n) 3( -3n - 1) + 5
= -9n -3 + 5
= -9n + 2
So option D
Which triangles are similar?
Answer:
A and c are similar except C is bigger than as so the scaling has gotten higher, so the answer is D
Step-by-step explanation:
-4x - 2 (12x - 12) = 10 (12 - 2x) for x
Show work/ say the steps plz.
5 1/3 expressed in percent is
Answer:
533.3%
Step-by-step explanation:
simplify the fraction to 16/3 (3x5+1=16) then you multiply the fraction by 100
which is 533.3 or 533 1/3 %
can someone help me on this?!
9514 1404 393
Answer:
D. 3 to 4
Step-by-step explanation:
The ratio ...
blueberries : strawberries = (1/2) : (2/3)
can be changed to a ratio of integer by multiplying by the least common denominator: 6.
= 6(1/2) : 6(2/3) = 3 : 4
1. If s varies directly as t and inversely as v, then which of the following equations describe the relation
among the three variables s, t, and v?
1. If the point (-5, -3) is translated 4 units to the right and 3 units down, what are the coordinates
of the new point? Write the algebraic expression that represents the translation.
Answer:
(-5 + 4, -3 - 3)
Step-by-step explanation:
"4 units to the right" requires ADDING 4 to the x-coordinate of (-5, -3):
(-5 + 4, -3).
"3 units down" requires SUBTRACTING 3 from the y-coordinate:
(-5 + 4, -3 - 3), or (if simplified) (-1, -6)
Explain the similarities and differences in the steps used to solve the equation and inequality.
ken eats 4 plums each day. How many plums would he eat in TWO weeks?
Answer:
56 (plums)
Step-by-step explanation:
There's 7 days a week, 14 in two weeks, so if Ken eats 4 plums each day, he will eat 14 times that in two weeks.
x = 4 × 14
x = 56
Answer:
56
Step-by-step explanation:
4 plums a day, with 7 days in a week. 4*7=28 plums a week. He eats 4 plums a day for two weeks, so we multiply 28 by 2. 28*2=56.
Isaac invested $77,000 in an account paying an interest rate of 4.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 12 years?
Answer:
133,727.67
Step-by-step explanation:
the other one is wrong
also have a nice day
The amount of the money to the nearest cent, would be in the account after 12 years is $133,307.18.
Calculation of the amount:Since the invested amount is $77,000
The rate of interest is 4.6% compounded continuously
And, the number of years is 12
So,
= $77,000 * (1 + 0.046/12)^48
= $133,307.18
hence, The amount of the money to the nearest cent, would be in the account after 12 years is $133,307.18.
Learn more about amount here: https://brainly.com/question/24338143