Answer:
The school is 1.5 miles away from Jonathan's home
Step-by-step explanation:
Let D be the distance remaining after 1 mile
We are given that He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance.
So, Time taken to cover D distance by Son is equal to the time taken by mother from home to school entrance(D+1) since she caught him at school entrance
Speed of Jonathan bike = 15 mph
Speed of Mother's bike = 25 mph
So, [tex]\frac{D}{15}=\frac{D+1}{25}[/tex]
25D=15D+15
10D=15
D=1.5
So, the school is 1.5 miles away from Jonathan's home
Simplify the expression.
−(−x)3 − x3
Answer:
0
Step-by-step explanation:
-(-x) ^3-x^3
x^3-x^3
=0
How to solve 240=-16 Equation
no idea
Step-by-step explanation:
u can use google for this if u r in hurry
John is three times as old as mikayla. The product of there ages is 108. Find there ages.
Pleasseeeee help I rlly need it like now
Answer:
John: 18 years old
Mikayla: 6 years old
Step-by-step explanation:
Please see the attached picture for the full solution.
y = bx(x - a)(x-a)(x + b)(x - b)
In the equation above, a and b are positive
constants and a ≠ b. How many distinct x-intercepts
does the graph of the equation in the xy-plane have?
The x-intercepts of an equation are simply the zeros of the equation
The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts
The equation is given as:
[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]
Set the equation to 0; i.e. calculate the zeros
[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Divide both sides by constant b
[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Split the above equation, as follows
[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]
Solve for x in each of the equation
[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
Remove repeated solutions
[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
The count of solutions above is 4
Hence, the equation has 4 distinct x-intercepts
Read more about x-intercepts at:
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I NEED HELP PLEASE HELP IF YOU CAN ASAP
Answer:
C. None of these
Step-by-step explanation:
Megan is buying 168 balloons for a large party. At Jamie's Party Store, balloons are sold in packs of 12 and packs of 36. Costs for each pack are shown. 36 $11.88 12 $5.16 How many packs of 12 and 36 balloons should Megan buy from Jamie's Party Store to spend the least amount of money? Megan should buy packs of 36 balloons, and packs of 12 balloons.
Answer:
$57.84
Step-by-step explanation:
Balloons needed = 168
Cost of 36 balloons per pack = $11.88
Cost of 12 balloons per pack = $5.16
cost per balloon
36 per pack = $11.88 / 36
= $0.33
12 per pack = $5.16 / 12
= $0.43
In order to minimize cost, she should buy as many packs of 36 per pack balloon
36 per pack × 1 pack = 36
36 per pack × 2 packs = 72
36 per pack × 3 packs = 108
36 per pack × 4 packs = 144
36 per pack × 5 packs = 180
The required number of balloons is 168
So, the number of possible 36 packs to buy is 4, that is, 144 balloons
Balloons remaining = 168 - 144
= 24
Possible packs of 12 balloons per pack possible is
12 per pack × 1 pack = 12
12 per pack × 2 packs = 24
Therefore, Megan needs to buy 4 packs of 36 balloons per pack and 2 packs of 12 balloons per pack
Cost of 4 packs of 36 balloons per pack = 4 × $11.88
= $47.52
Cost of 2 packs of 12 balloons per pack = 2 × $5.16
= $10.32
Total cost = $47.52 + $10.32
= $57.84
Write an equation in slope-intercept form with the given slope and y-intercept. m = 1 , b = -1
Answer:
y = 1x -1
Step-by-step explanation:
m is your slope which is 1 and -1 is you y intercept
the slope intercept form is y = mx + b
which means the equation will be y = 1x -1
................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
Answer:
1.)47.022
2.)8.032
3.)2.436
4.)61.92
Step-by-step explanation:
What's the answer ?
A. B. C. Or D?
Answer:
D.) y=-x-2
Step-by-step explanation:
Answer:
D.) y=-x-2
Step-by-step explanation:
Trust me I just know
f(x) = -(x-3) +x
What is f(-1) = ?
Explanation:
Let y=3x
To calculate the inverse, interchange
x and y,
x =3 y
8. Find the perimeter of ABC with vertices A(-8, -3), B(-2, -3), and C(-8,5).
Answer:
24
Step-by-step explanation:
solve for x
(3/x-c)=(4/x-d)
9514 1404 393
Answer:
x = 4c-3d
Step-by-step explanation:
Cross multiply, separate variables terms and constant terms.
[tex]3(x-d)=4(x-c)\\\\3x-3d=4x-4c\\\\4c-3d=x\qquad\text{add $4c-3x$}\\\\\boxed{x=4c-3d}[/tex]
need help with questions................
Answer:
not a function
Step-by-step explanation:
you can not have one-to-many
there is two 3 in the X column
Plz Help, i really dont understand this, and I'm taking a timed test!
Solve for x: −3|x + 7| = −12 (2 points)
A. x = 5 over 3 , x = − 19 over 3
B. x = −3, x = −11
C. x = −3, x = 11
Answer:
B. x = −3, x = −11
Step-by-step explanation:
−3|x + 7| = −12
-3x - 21 = -12 and -3x - 21 = 12
-3x - 21 = -12
-3x = 9
x = -3
-3x - 21 = 12
-3x = 33
x = -11
what’s the quotient of -21/-3?
Answer:
7
Step-by-step explanation:
When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.
Identify the horizontal and vertical asymptotes, if any, for the graph of f(x) shown. Check all that apply.
y = 0
y = 1
x = 1
x = –1
no vertical asymptotes
no horizontal asymptotes
Answer:
y = 0 , x = 1
Step-by-step explanation:
jdbdjdajhsbsbs
Answer:
Step-by-step explanation:
The graph has both a vertical and horizontal asymptote to which the value
of the function approaches as the y-values and x-values approaches
infinity respectively.
The horizontal asymptote is; y = 0The vertical asymptote is the line x = 1Reasons:
The horizontal asymptote is the horizontal line that the function's graph
tends towards as the value of the input variable approaches infinity.
The horizontal line that the graph of the function approaches is y = 0
Therefore;
The horizontal asymptote is; y = 0Similarly, the vertical asymptote is the vertical line that the graph of the
function approaches but never meets.
Therefore;
The graph of the function on the bottom left approaches the line x = 1 from
the left, while the graph of the function with the domain 0 < x < ∞,
approaches the line x = 1 from the right.
Therefore;
The vertical asymptote is the line x = 1Learn more here:
https://brainly.com/question/13939972
can someone help me on this question pretty please
Answer:
50 dollars an hour
Step-by-step explanation:
I need helppp?!
What is the slope of the line??? Please give right answer :(((
Answer:
hello
Step-by-step explanation:
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.
m = slope
put these numbers in descending order
75%
2/5
0.84
2/3
Can someone tell me where to graph this
Answer:
(7, -6)
Step-by-step explanation:
You will graph it at this point because the point is basically the origin and when you rotate it clockwise 90° it will end up in Quadrant IV.
can some one please help me i’m begging
Answer:
Step-by-step explanation:
for 2.2 you would still have 5^2 in brackets still
same kind of error for 2.1
Solve for k in the following equation:
m =
8kx
7.
- 6
Answer:
m=56kx-6
Step-by-step explanation:
What the word please. Identify the vocabulary word that matches the picture.
Answer:
Step-by-step explanation:
BD divides CBA into two angles. The add to 90 degrees. Therefore they are complementary.
The key word is complementary. The angles are <CBA and <DBA are complementary.
Answer:
Right angle or adjacent angle. I'm not sure if there was a vocabulary bank.
Step-by-step explanation:
A cube with 4 faces has a length of 4.5cm.find the total surface area
Answer:
81 cm square
Step-by-step explanation:
the answer is 121.5cm^2
If DEF ~= PQR, which congruences are true by CPCTC? Select all that apply.
a. DF = PR
b. DE = PR
C. EF = QR
D. Q = D
E. E = Q
F. F= R
Answer:
A, C, E, F
Step-by-step explanation:
Solve for n.
4/7 x n = 14
Answer:
[tex]n = \frac{49}{2x}[/tex]
Step-by-step explanation:
1) Simplify [tex]\frac{4}{7}[/tex] xn to [tex]\frac{4xn}{7}[/tex]
[tex]\frac{4xn}{7}[/tex] = 14
2) Multiply both sides by 7.
4xn = 14 × 7
3) Simplify 14 × 7 to 98.
4xn=98
4) Divide both sides by 4.
[tex]xn = \frac{98}{4}[/tex]
5) Simplify [tex]\frac{98}{4}[/tex] to [tex]\frac{49}{2}[/tex]
[tex]xn = \frac{49 }{2}[/tex]
6) Divide both sides by x.
[tex]n = \frac{49}{2} / x[/tex]
7) Simplify [tex]\frac{49}{2} /x[/tex] into [tex]\frac{49}{2x}[/tex]
[tex]n = \frac{49}{2x}[/tex]
pleaseeeeeeeeeeeeeeeee solve this
Answer:
360 degrees
Step-by-step explanation:
We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as the exterior angles of the given triangles, their sum will be 360 degrees as well.
The distance around a circular running track is 200m. Calculate the radius of the track, giving your answer to the nearest metre.
Answer:
The radius of the track is 32 meters
Step-by-step explanation:
Circumference
The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.
Given a circle of radius r, the circumference of the circle can be calculated as follows:
[tex]L=2\pi r[/tex]
If we already know the length of the circle, we can solve the above expression for r:
[tex]\displaystyle r=\frac{L}{2\pi}[/tex]
The distance given around a circular running track is L=200 m, thus:
[tex]\displaystyle r=\frac{200}{2\pi}=31.830989\ m[/tex]
Rounding to the nearest meter:
r= 32 meters
The radius of the track is 32 meters
Given m∠GHF = 34°, m∠HJF = 124°, and m∠FKJ = 79°.
Angle GFJ = 56 degrees
Angle FGH = 124 degrees
Angle HFJ = 34 degrees
Angle HKJ = 101 degrees
Step-by-step explanation:
The measure of the angles are:
[tex]\mathbf{GFJ = 56}[/tex]
[tex]\mathbf{GFJ = 56}[/tex]
[tex]\mathbf{\angle HFJ = 34}[/tex]
[tex]\mathbf{\angle HKJ =101}[/tex]
The given parameters are:
∠GHF = 34°,
∠HJF = 124°,
∠FKJ = 79°.
(a) Angle ∠GFJ
This is calculated as:
[tex]\mathbf{GFJ = 180 - \angle HJF}[/tex] --- base angles of parallelogram add up to 180 degrees
So, we have:
[tex]\mathbf{GFJ = 180 - 124}[/tex]
[tex]\mathbf{GFJ = 56}[/tex]
(b) Angle ∠FGH
This is calculated as:
[tex]\mathbf{\angle FGH = \angle HJF}[/tex] --- opposite angles of parallelogram are equal
So, we have:
[tex]\mathbf{\angle FGH = 124}[/tex]
(c) Angle ∠HFJ
This is calculated as:
[tex]\mathbf{\angle HFJ = \angle GHF}[/tex] --- corresponding angles
So, we have:
[tex]\mathbf{\angle HFJ = 34}[/tex]
(d) Angle ∠HKJ
This is calculated as:
[tex]\mathbf{\angle HKJ =180 - \angle FKJ}[/tex] ---- supplementary angles
So, we have:
[tex]\mathbf{\angle HKJ =180 - 79}[/tex]
[tex]\mathbf{\angle HKJ =101}[/tex]
Read more about angles in a parallelogram at:
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HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
ΔABD ≅ ΔCDB
Step-by-step explanation:
Since a = 3, we can sub 3 into the expressions and then get a value for each side length.
AB: 3 + 7 = 10
BC = 16
CD: 12 - 2 = 10
DA: 18 - 2 = 16
Hence:
AB = CD (both have sidelengths of 10)
AD = CB (both have sidelengths of 16)
BD = BD (common line)
Therefore: ΔABD ≅ ΔCDB Q.E.D.