Answer:
The x-intercepts of the function are 0 and 6, which are a lower bound and an upper bound for the possible values of the width of the storage bin.
Step-by-step explanation:
Given
[tex]A(x) = x^2 - 6x[/tex]
Required
Which is true about the x intercept
To do this, we make A(x) = 0.
Substitute 0 for A(x) in [tex]A(x) = x^2 - 6x[/tex]
[tex]0 = x^2 - 6x[/tex]
Rewrite as:
[tex]x^2 - 6x=0[/tex]
Factorize:
[tex]x(x - 6)=0[/tex]
Split:
[tex]x = 0\ or\ x - 6 = 0[/tex]
[tex]x = 0\ or\ x = 6[/tex]
Option D is correct
Iona and Jamey have lunch at a bistro. The bill totals $29.75, and they leave their server a 24% tip. How much total money do they pay?
Answer:
$36.89
Step-by-step explanation:
Given data
Totals $29.75
tip= 24% tip
=24/100*29.75
=0.24*29.75
=7.14
In all the bill is 7.14+29.75
=$36.89
PLEASE HELP ITS DUE AT 11:59
Solve for the value of y.
(9y-6)° 51°
Answer:
5
Step-by-step explanation:
This is a right angle which means it is equal to 90. The angle is separated into two parts as shown - the sum of these two parts is equal to 90.
Calculations:
9y - 6 + 51 = 90
9y + 45 = 90
9y = 45
y = 5
Evaluate 2x − 2 for x = 0, x = 1, and x = 2.
Answer:
-2, 0, and 2
Step-by-step explanation:
For x=0:
2(0) -2
0-2
-2
For x=1:
2(1)-2
2-2
0
For x=2:
2(2)-2
4-2
2
Answer:
its -1, 0, 2
Step-by-step explanation:
pls help me I will mark the first one to say don't need explanation
Answer:
m = -1/3
Step-by-step explanation:
By using rise over run, the slope is going 1 down and 3 across.
Answer:
-63
Step-by-step explanation:
Find the median of the set of data.
5 10 18 36 29 18 15 10
Answer:
Put them in order 5 , 10 , 10, 15, 18, 18, 29, 3615+18/2 = 16.5the line with a slope of 1/3 and a y- intercept of - 15 intersects the line passing through which of these pairs of points?
Answer:
Options (C), (D) and (E)
Step-by-step explanation:
Slope of the given line = [tex]\frac{1}{3}[/tex]
Any line having same slope will be parallel to the given line otherwise the lines will intersect.
Therefore, we will find the slope of the lines passing through two points given in the options.
Option A
Slope of the line passing through (12, -13) and (15, -12)
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{-13+12}{12-15}[/tex]
= [tex]\frac{1}{3}[/tex]
Therefore, both the lines are parallel having no point of intersection.
Option B
Slope = [tex]\frac{-9+7}{18-24}[/tex]
= [tex]\frac{1}{3}[/tex]
Both the lines are parallel having no point of intersection.
Option C
Slope = [tex]\frac{-20+21}{15-18}[/tex]
= [tex]-\frac{1}{3}[/tex]
Therefore, both the lines will intersect.
Option D
Slope = [tex]\frac{-15+14}{30-36}[/tex]
= [tex]\frac{1}{6}[/tex]
Both the lines will intersect each other.
Option E
Slope = [tex]\frac{-11+10}{24-30}[/tex]
= [tex]\frac{1}{6}[/tex]
Both the lines will intersect each other at a point.
Options (C), (D) and (E) are the correct options.
math work pls help :)
Answer:
C ASA
Angle side Angle.....
5
.
The coordinates of A are (4,5) and the coordinates
of B are (10, y). If the midpoint of AB is (7, -2),
find the value of y.
Answer:
5
Step-by-step explanation:
3x+16=7x
answer please
Answer:
x = 4
Step-by-step explanation:
We have the algebraic expression 3x + 16 = 7x and are asked to solve.
When we need to solve for x, we need to get x alone always.
So 3x + 16 = 7x.
Subtract 3x from both sides :
16 = 4x
Divide 4 from both sides :
x = 4
Answer:
[tex] \large \boxed{x = 4}[/tex]
Step-by-step explanation:
Goal
Solve for x-term.Given
Equation[tex]3x + 16 = 7x[/tex]
Step 1
Combine like terms. We move 3x to subtract 7x since we can't add with a constant with a variable.[tex]16 = 7x - 3x \\ 16 = 4x[/tex]
Step 2
Move 4 to divide 16 because we need to make x-term as the subject of equation.[tex] \frac{16}{4} = x \\ 4 = x[/tex]
Step 3
If you are not sure that the answer is correct, we can check the answer by substituting x = 4 in the equation.[tex]3x + 16 = 7x \longrightarrow 3(4) + 16 = 7(4) \\ 12 + 16 = 28 \\ 28 = 28[/tex]
The equation is true for x = 4. Hence, the solution is x = 4
Find the geometric mean for the pair of numbers,
5 and 9.8
Answer:
7
Step-by-step explanation:
To find the geometric mean of two numbers, just find the product of those numbers and take the square root!
5 x 9.8 = 49
√49 = 7
I hope this helped!
Sincerely,
Rekifromsk8theinfinity
:D
PLEASE HELP!!!!!!!!!
Answer:
A
B
C
D
E
Step-by-step explanation:
You need 180 or 360 degrees to make a Cyclic Quadrilateral.
So, if you add all of the expressions. You get 360.
Hopefully, you get it right!
3(s + 4) = 30 what the value of s
Answer:
s=6
Step-by-step explanation:
Hope this helps :)
The value of s for the given expression 3(s + 4 = 30 will be 6.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
3(s + 4) = 30
Divide both sides by 3
s + 4 = 10
Subtract both sides by 4
s + 4 - 4 = 10 - 4
s = 6
Hence "The value of s for the given expression 3(s + 4 = 30 will be 6".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
If g(x) = x^2-5, find the value(s) of x so that:
a. g(x)= 20
b. g(x) = 6
9514 1404 393
Answer:
a) x = ±5
b) x = ±√11 ≈ ±3.317
Step-by-step explanation:
Since we want x for some function value, it is convenient to determine the inverse function.
x = g(y)
x = y^2 -5
x +5 = y^2
y = ±√(x +5)
__
a) x = ±√(20 +5) = ±5
b) x = ±√(6 +5) = ±√11 ≈ ±3.317
What digit has the thousandths value in two hundred forty-six ten thousandths? *
1 point
A. 2
B. 6
C. 4
D. 10
Solve for x. Round to two decimal places if necessary.
Answer:
Length of JK is 68.27 units.
Step-by-step explanation:
By applying geometric mean theorem (leg theorem) in the triangle attached,
[tex]\frac{KL}{KM}= \frac{JK}{KL}[/tex]
(KL)² = (KM)(JK)
(32)² = (15)(x)
x = [tex]\frac{1024}{15}[/tex]
x = 68.2666
x ≈ 68.27
Therefore, length of JK is 68.27 units.
To keep her pet groundhog Marley happy, Gwen built a rectangular pen for Marley with an area of 242 square feet. She only had 66 feet of fencing to use, and wanted the length to be twice as long as the width. What are the dimensions of the pen?
help I'm doing an assignment and im stuck
Answer your answer is correct it is 9
Step-by-step explanation:
Answer:your correct! btw heyy
Step-by-step explanation:
How would I get the answer to this problem.
Answer:
[tex]\displaystyle m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 7)
Point (9, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{5-7}{9-3}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-2}{6}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{-1}{3}[/tex]PLEASE HELP :))
3
Solve for x.
6
12
5
r-1
Answer:
12 is the answer
Step-by-step explanation:
12 is the answer
Can anybody help me with this please
Answer:
c
Step-by-step explanation:
180-24-30=126
3x-9=126
3x=135
x=45
Find the area of the polygon pls
Given:
The figure of a polygon.
To find:
The area of the polygon.
Solution:
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]
Area of trapezoid is
[tex]Area=\dfrac{1}{2}(a+b)h[/tex]
Where, a, b are bases and h is the height.
The area of the triangle with base 6 cm and height 8 cm is
[tex]A_1=\dfrac{1}{2}\times 6\times 8[/tex]
[tex]A_1=24[/tex]
Height of the trapezoid is [tex]13-8=5\ \text{cm}[/tex] and the bases are 6 cm, 12 cm. So, the area of the trapezoid is
[tex]A_2=\dfrac{1}{2}(6+12)(5)[/tex]
[tex]A_2=\dfrac{1}{2}(18)(5)[/tex]
[tex]A_2=(9)(5)[/tex]
[tex]A_2=45[/tex]
Now, the total area of the polygon is
[tex]A=A_1+A_2[/tex]
[tex]A=24+45[/tex]
[tex]A=69[/tex]
Therefore, the area of the polygon is 69 sq. cm.
helpppp plssss :))))))((((
Answer:
a= 80
b= .25
Step-by-step explanation:
We know that a has to equal 80 because
[tex]a(b)^0=80\\a=80[/tex]
We can then just solve for b
[tex]80(b)^1=20\\b=\frac{20}{80} \\b=.25[/tex]
Question 10 of 10
Which of the following is(are) the solution(s) to . |x+8|= 1?
Answer:
The solutions are x = -7 and x = -9
Step-by-step explanation:
All absolute values are non-negative numbers, so x + 8 will always be greater than 0. This means that |x + 8| = 1 can be represented as x + 8 = 1 AND x + 8 = -1.
x + 8 = 1 ⇒ x = -7
x + 8 = -1 ⇒ x = -9
So the solutions are x equals -7 or -9.
f(x) = -1152 – 90x® + 216x2 + 288x + 9x4
Answer:
F(x) = 43/16 (43 over 16)
how do I find the area of the composite figure?
A = 119.4in^2
hope it's helpful ❤❤❤❤
THANK YOU.
find the missing angle
Answer:
50°
Step-by-step explanation:
65+65+<z = 180
130+ <z = 180
<z = 50°
A paint store sells an orange paint that is made by combining 7 parts red with 4 parts
yellow. A customer tried to recreate the order at home, but made a mistake. Her
container has 4 parts red paint and 8 parts yellow paint. How much red paint does she
need to add to get the correct shade of orange?
Answer:
10 parts red paint
Step-by-step explanation:
she doubled the amount of yellow paint in the can at home, so you will need to add twice the amount of red paint. 7×2=14, 14-4= 10.
Pls help me you don't need to explain. ❤️❤️❤️
Answer:
6
Step-by-step explanation:
It goes up 6 and 1 across 6/1 = 6
Answer: 6
Step-by-step explanation:
The easiest way to find slope is by [rise/run] or literally the y value over the x value. In this way, you need to find two points that are on the intersections of the gridlines, then count the units in between
---------------------------------------------------------------------------
(-8, 4) (-9, -2)
Rise/run
= 6/1
= 6
Hope this helps!! :)
Please let me know if you have any questions
please help a girl out I'm so confused
Answer:
first pays 60
Step-by-step explanation:
Help me with those two questions
Given:
A figure in which a transversal line intersect two parallel lines.
[tex]m\angle 2=4x+7, m\angle 7=5x-13, m\angle 5=68[/tex] and [tex]m\angle 3=3y-2[/tex].
To find:
The value of x and y.
Solution:
We know that, if a transversal line intersect two parallel lines, then
(1) Alternate exterior angles are equal.
(2) Same sided interior angles are supplementary. So their sum is 180 degrees.
In the given figure j and k are parallel lines and l is a transversal line.
From the given figure, it is clear that,
[tex]m\angle 2=m\angle 7[/tex] (Alternate exterior angles are equal)
[tex]4x+7=5x-13[/tex]
[tex]7+13=5x-4x[/tex]
[tex]20=x[/tex]
Therefore, the value of x is 20.
Now,
[tex]\angle 3+\angle 5=180[/tex] (Same sided interior angles are supplementary)
[tex]3y-2+68=180[/tex]
[tex]3y+66=180[/tex]
[tex]3y=180-66[/tex]
[tex]y=\dfrac{180-66}{3}[/tex]
[tex]y=\dfrac{114}{3}[/tex]
[tex]y=38[/tex]
Therefore, the value of y is 38.