Answer:
Different key aspects of the graph are revealed by each form. From the vertex form, you can easily determine the vertex, (3, −4). From the factored form, you can easily determine the x-intercepts, 1 and 5. In standard form, the y-intercept is clearly 5.
Step-by-step explanation:
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A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.
The factored form of a quadratic function reveals its root.
What is a quadratic function?A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.
We have,
Factor form of a quadratic function.
Factoring quadratics is a way of expressing the quadratic function:
ax2 + bx + c = 0
as a product of its factors as:
(x - k) (x - h),
where h, k are the roots of the quadratic function.
Thus,
The factor form of a quadratic function reveals its root.
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mark and heather starr are celebrating their 25th anniversary by having a reception at a local reception hall. they have budgeted $3,000 for their reception. if the reception hall charges a $50 cleanup fee plus $32 per person, find the greatest number of people that they may invite and still stay within their budget.
Mark and heather can invite at most __ people to the reception.
Answer:
i think 90 people
Step-by-step explanation:
3,000 - 50 (clean up fee) - 64 (mark and heather) = 2886
32 x 10 = 320 ( cost of ten people )
2886 - (320 x 9) = 6
6 dollars left
What is the algebraic expression for the word phrase " the quotient of 24 and 6 less than m”
Please help
Answer:
[tex]\displaystyle \frac{24}{-6 + m}[/tex]
Step-by-step explanation:
Whichever term is called first represents the numeratour and the leftover represents the denominatour.
I am joyous to assist you at any time.
The expression is 24/ m-6
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Given:
the quotient of 24 and 6 less than m
=24/m-6
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Which functions have zeroes in their domains? Need help ASAP. please and thank u :))))))
I use a app on my phone called (photòmath) and it helps so much.
Pls need help solving this.
Answer:
Step-by-step explanation:
Given: ABC is equilateral triangle.
AD = DB & BE = EC & CF = FA ------------(IV)
Proof:
D & F are midpoint of the sides AB and AC
DF = [tex]\frac{1}{2}BC[/tex] {Midpoint theorem}
DF = BE ----------------(I)
D & E are midpoint of the sides AB and BC
DE = [tex]\frac{1}{2}AC[/tex] {Midpoint theorem}
DE = FA ----------------(II)
E & F are midpoint of the sides BC and AC
[tex]EF = \frac{1}{2}AB[/tex] {Midpoint theorem}
EF = AD ---------------(III)
From (I) ; (II) ; (III) ; (IV) ,
DF = DE = EF
DEF is an equilateral triangle.
Write each decimal as a fraction or mixed number in simplest form.
Answer:
Answer:
[tex]0.{ \bar{325}} = \frac{325}{999 } \\ [/tex]
Step-by-step explanation:
[tex]1000x = { \boxed{325.325}} \\ - x = { \boxed{0.325325}}[/tex]
if we subtract:
[tex] = 999x = 324.999675[/tex]
divide by 999:
[tex]x = \frac{324.999675}{999} \\[/tex]
round off mumerator to zero decimal place:
[tex]x = \frac{325}{999} [/tex]
Answer:
x = [tex]\frac{325}{999}[/tex]
Step-by-step explanation:
Step-by-step explanation:
0.325325325...
1000x = 325.325...
- x - 0.325..
999x = 325
x = 325/999
x = [tex]\frac{325}{999}[/tex]
What is the distance between points M(2,6) and N(3,1)
Answer:
the distance between points M(2,6) and N(3,1)
MN = [tex]\sqrt{(3 -2)^{2} + (1 - 6)^{2} }[/tex] =[tex]\sqrt{26}[/tex]
Find the surface area of the following solids.
4.5 m
4.5 m
45 m
Answer:
4.5*4.5*45=911.25
is this correct answer
Which of the following expressions is equivalent to (x+3)²-4(x+3)-12 ?
A (x + 2)(x-6)
B (x + 3)(x - 4)
C (x + 5)(x - 3)
D (x + 9)(x + 1)
Answer:
C
Step-by-step explanation:
(x+3)(x+3) - 4x - 12 - 12
x² + 3x + 3x + 9 - 4x - 24
x² + 2x - 15
(x + 5) (x - 3)
Solve [y] = -18.
Help pls
Answer:
[y]=-18 so y belongs to (-18,-17)
Step-by-step explanation:
Answer: hm shouldn’t that just be -18?
Step-by-step explanation:
I've forgotten how to do this! Please help meee
Answer:
x<13
Step-by-step explanation:
4x+12<64
Subtract 12 from both sides.
simplify 64 to 52.
Divide both sides by 4.
simplify 52/4 to 13
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The art teacher spends $120 on art supplies for a class project. The art teacher
spends $48 on poster boards and buys jars of paint that cost $6 each. How many jars
of paint does the art teacher buy?
Answer:
I had the same problem on imagine math too. The answer for the first part is 120=48+6p. The answer for the second one is 12 Because 12 x 6=72 + 48 = 120.
Step-by-step explanation:
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
O y=
--x-1
Oy=-x+5
O y=-x-1
O y=x+5
Save and Exit
Next
Submit
Mark this and retum
The equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4) is y = [tex]-\frac{5}{x} x-1[/tex]
Parallel lines
Parallel lines have the same slope. Therefore, using slope intercept form.
y = mx + b
m = slope
b = y-intercept
Therefore,
5x + 2y = 12
2y = -5x + 12
[tex]y = -\frac{5}{2} x+12[/tex]
The slope of the line is [tex]-\frac{5}{2}[/tex]
Base on parallelism, for the line that passes through (-2, 4)
y = mx + b
4 = [tex]-\frac{5}{2} (-2)+b[/tex]
b = -1
Therefore,
y =
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Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12.
Answer:
Solution
x=1
x=−6
Step-by-step explanation:
x(+3)+2(x+3)=12
Answer: Sol={-6,1}
Step-by-step explanation:
1) we are searching value of x in R
[tex](x+2)(x+3)=12\\x^2+2x+3x+6-12=0\\x^2+5x-6=0\\\\x^2-x+6x-6=0\\\\x(x-1)+6(x-1)=0\\\\(x-1)(x+6)=0\\\\x=1\ or\ x=-6\\Sol=\{-6,1\}\\[/tex]
2) we are searching value of x in Z.
12=1*12 =(-1)*(-12)
12=2*6=(-2)*(-6)
12=3*4=(-3)*(-4)
[tex]\begin{array}{|c|c|c|c|c|}x=&x+2=&x+3=&(x+2)(x+3)=&is\ solution\\---&---&---&---&---\\1&3&4&12&True\\2&4&5&20&False\\3&5&6&30&False\\4&6&7&42&False\\6&8&9&72&False\\12&14&15&210&False\\---&---&---&---&---\\-1&1&0&0&False\\-2&0&1&0&False\\-3&1&2&2&False\\-4&2&3&6&False\\-6&-4&-3&12&True\\-12&-10&-9&90&False\\---&---&---&---&---\\\end{array}\\\\\\\boxed{Sol=\{-6,1\}}[/tex]
(-a + 1)(5a + 6) =
Help me with this please
Answer:
4a + 7 = SIMPLIFIED
4a = -7
a= -1.75 ANSWER OF EXPONENT IF NEEDED
The following table shows a proportional relationship between x and y.
x y
2 9
5 22.5
8 36
Write an equation to describe the relationship between x and y.
Answer:
Assume x is directly proportional to y :
[tex]y \: \alpha \: x \\ y = kx[/tex]
when y is 9, x is 2:
substitute to find value of k :
[tex]9 = (k \times 2) \\ k = \frac{9}{2} [/tex]
Therefore, equation is:
[tex]{ \boxed{ \boxed{2y = 9 x}}}[/tex]
Write the equation of the line through (-2,5) and parallel to y = -2x + 5 in slope-intercept form.
Answer:
[tex]y = -2x +1[/tex]
(-1,3), (2,5):
[tex]y = -\frac{8}{3} x+\frac{1}{3}[/tex]
Explanation:
Solve for b.
7
10b+ 18 = 28
Answer: 6
Submit Answer
Answer:
False B=1
Step-by-step explanation:
10b+18=28
Subtract 18 both sides.
10b=10
Divide 10 both sides.
b=1
help me human..... :(
Answer:
D
Step-by-step explanation:
One-half of a number,
increased by 69 is 74.
What is the number?
Answer:
10
Step-by-step explanation:
let the number be n then half the number is [tex]\frac{1}{2}[/tex] n , so
[tex]\frac{1}{2}[/tex] n + 69 = 74 ( subtract 69 from both sides )
[tex]\frac{1}{2}[/tex] n = 5 ( multiply both sides by 2 to clear the fraction )
n = 10
Thus the number is 10
evaluate the expression when c=2 and x= -4
-c+7x
Answer: -30
Step-by-step explanation: -c + 7x
-(2)+7(-4)
-2 -28 = -30
20.
Write a set of 2
rational numbers that
greater than -1 and
less than 0.
Answer:
-1/3 and -1/2
Step-by-step explanation:
as a rational number is of the form p/q where q is not equal to zero
In the relation V= U+AT. Find v when U=6, A=10 and T=2
Answer:
[tex]v = u + at \\ u = 6 \\ a = 10 \\ t = 2 \\ then \\ v = 6 + 10 \times 2 \\ = 6 + 20 = 26 \\ thank \: you[/tex]
Which is not a binomial in the following expressions? *
options:
(a) 8m - 9m +3mn - 15m + 100mn
(b) 3y - 8yz - 25y -100y
(c) 4ab - 8ab +9cd
(d) -5xy - yx + 6xy - 2yxz - 12xyzp
Answer:
I think d is not a binomial from the option given
A transformation that increases or decreases the size of a figure according to the scale factor
Answer:
Are you talking about dilation of a polygon?
Step-by-step explanation:
ILL MARK CORRECT ANSWER BRAINLIEST!!!!!!!!!!! PLEASEEEEE HELPPPP MEEEE!!!!!!! ( ALGEBRA NATION ) PIC INCLUDED
Answer:
21 is the solution to solve for x. 22 and 23 can also be values!
Step-by-step explanation:
-1 - 13 = -14 / -2/3
x = 21
4(x+9)=x+9
help and explain please.
Answer:
-9
Step-by-step explanation:
This is a find the x equation!
4(x+9)=x+9
First we'll multiple the 4 into the paranthatsis
4x+36 = x +9
then we'll group the Xs together on one side, and the normal nubers (make sure to make sure the signs are right when moving them across the = sign)
3x= -27
x = - 9
Use the formula D= RT to solve the problem. Mrs. Warren traveled 1,069 miles from Vian, OK to Raleigh NC at an average rate of 65 mph. Approximately how many hours was she driving? Solve this equation. 1,069 = 65T
A. 14 hours
B. 16 hours
C. 18 hours
D. 20 hours
If you worked 40 hours a week at a minimum wage job in
Wyoming, how much would you make in one week before taxes
and other deductions
what is the slope of (0,-8) and (-4,9)
Answer:
m=-17/4
Step-by-step explanation:
Slope is equal to m= y-y/x-x
Therefore it will be 9-(-8)/-4-0
Answer:
[tex]\boxed {\boxed {\sf m= - \frac{17}{{4}}}}[/tex]
Step-by-step explanation:
We are asked to find the slope of (0, -8) and (-4, 9). We use the following formula to calculate slope.
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the points given. We have the points (0, -8) and (-4,9). If we match the given value with the corresponding variable we see that:
x₁= 0 y₁= -8 x₂ = -4 y₂= 9Substitute the values into the formula.
[tex]m= \frac{(9)- (-8)}{ (-4) -(0)}[/tex]
Solve the numerator. Remember that 2 back to back negative signs become a positive sign.
(9)- (-8)= 9--8 = 9+8 = 17[tex]m= \frac{17}{(-4)-(0)}}[/tex]
Solve the denominator.
(-4)- (0) = -4-0= -4[tex]m= \frac{17}{-4}[/tex]
This fraction cannot be reduced, so -17/4 is the slope.
Simplifique e resolva:
3xy+ 7xy⁴-6x³+2xy-10xy⁴
Answer:
[tex]5xy + 7 {xy}^{4} - 6 {x}^{3} - 10000[/tex]
Step-by-step explanation:
[tex]3xy + 7 {xy}^{4} - 6 {x}^{3} + 2xy - 10 {xy}^{4} [/tex]
[tex]3xy + 2xy[/tex]
[tex] (3 + 2)xy = 5xy[/tex]
[tex]5xy + 7 {xy}^{4} - 6 {x}^{3} - {10}^{4} [/tex]
[tex] {10}^{4} = 10 \times 10 \times 10 \times 10 = 10000[/tex]
[tex]5xy + 7 {xy}^{4} - 6 {x}^{3} - 10000[/tex]
