Answer:
7+42x
Step-by-step explanation:
7(1+6x)
Distribute
7*1 + 7*6x
7+42x
Answer:
7 + 42x
Step-by-step explanation:
Use the distributive property
7 + 42x
What is the solution to the following equation? 4(3x − 11) + 23 = 5x − 14 a 0 b 1 c 10 d 14
Answer:
b 1
Step-by-step explanation:
Need help with this question
Answer: 30
Step-by-step explanation: To solve this problem, we're going to have to use the Pythagorean theorem...
a² + b² = c²
24² + 18² = c²
576 + 324 = c²
c² = 900
[tex]\sqrt{900}[/tex]
30
30 = c
I hope this helps!
An investment group compares returns on an account
against the function represented in the table, where x is the
time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the
table?
х
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
an increasing exponential function
0
5
f(x)
10,000
12,201.90
14,888.64
22,167.15
10
20
Answer:
d
Step-by-step explanation:
edge2020
Option D is correct. The exponential function is increasing when time goes and the total return on investment.
What is exponential function?An exponential function is of the form aˣ where 'a' is the base of the function and 'x' is the power of the function.
What is quadratic function?A quadratic function is" a polynomial function with one or more variables in which highest exponent of variable is 2".
According to the question,
Let 'x' is the time in years and f(x) is the total return on investment. The below table shows the function over the interval.
x f(x)
a decreasing quadratic function 10,000
an increasing quadratic function 12,201.90
a decreasing exponential function 14,888.64
an increasing exponential function 22,167.15
Quadratic function f(x) = ax² +b x +c a > 0
A decreasing quadratic function is the vertex of the parabola lies on the axis parabola. The graph of the function is increasing at one side of the axis and decreases at other side of the axis. Clearly it shows as time in years change does not give maximum total return on investment.An increasing quadratic function the vertex of the parabola lies on the axis parabola. The graph of the function is increasing at one side of the axis and decreases at other side of the axis. Clearly it shows change in time in years does not give maximum total return on investment.Exponential function f(x) = a. bˣ +q
The exponential function is decreasing when a < 0 and 0 ≤ b < 1. Then the function f(x) is decreasing exponential function. Clearly it shows time goes, total return on investment is not maximum. The exponential function is increasing when a > 0 and b > 1. Then the function f(x) is increasing exponential function. Clearly it shows time goes, total return on investment is maximum.Hence, the exponential function is increasing when time goes and the total return on investment.
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A car travels 0.75 miles every minute.explain how you could use proportional reasoning too find how far the car travels in a hour
Answer:
The car travels 45 miles in one hour.
Step-by-step explanation:
Knowing that one hour is 60 minutes and that the car travels 0.75 miles every minute, you can multiply 60 and 0.75 which gives you 45 miles per hour meaning in one hour the car travels 45 miles.
There are x candies in a box. 8 of the candies are caramel-flavored and rest of them are strawberry-flavored. If the probability of randomly selecting a strawberry-flavored candy from the box is 1/3, find the total number of candies in the box.
Answer:
The answer is: 12 total candies
Step-by-step explanation
c = caramel-flavored
s = strawberry-flavored
so if there are 1/3 strawberry-flavored so that means there are 2/3 caramel-flavored. we know there are 8 caramel-flavored so if 8 is 2/3 of all the candies that means 4 is how many strawberry-flavored we have 12 total candies.
A rectangle has an area of k2 + 19k + 60 square inches. If the value of k and the dimensions of the rectangle are all natural numbers, which statement about the rectangle could be true? The length of the rectangle is k – 5 inches. The width of the rectangle is k + 4 inches. The length of the rectangle is k – 20 inches. The width of the rectangle is k + 10 inches.
Answer:
The width of the rectangle is k+4 inches
Step-by-step explanation:
you have [tex]k^{2}+19k+60[/tex] which can be factorized to (k+4)(k+15)
if the length of the rectangle is k-5 that would mean that we can write [tex]k^{2}+19k+60[/tex] as (k-5)n which we know is false, so the only one that applies is k+4
The true statement is:
"The width of the rectangle is k + 4"
Which statement is true?
Remember that for a rectangle of length L and width W, the area is given by:
A = L*W
So we want to factorize the area equation, which is a quadratic equation, into a product of two terms.
A = k^2 + 19k + 60
The two zeros are given by Bhaskara's formula:
[tex]k = \frac{-19 \pm \sqrt{19^2 - 4*1*60} }{2} \\\\k = \frac{-19 \pm 11 }{2}[/tex]
So we have two zeros, these are:
k = (-19 - 11)/2 = -15
k = (-19 +11)/2 = -4
So we can factorize the area as:
A = (k - (-15))*(k - (-4)) = (k + 15)*(k + 4).
From this, the only statement that can be true is:
"The width of the rectangle is k + 4"
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A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph
models the function?
Answer:
The function is y = 40 * 2^(x/2)
The graph is in the image attached
Step-by-step explanation:
The function that models this growth is an exponencial function, that can be described with the following equation:
y = a * b^(x/n)
Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).
Then, using a = 40, r = 2 and n = 2, we have:
y = 40 * 2^(x/2)
If we plot this function, we have the graph shown in the image attached,
It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.
Answer:
b
Step-by-step explanation:
edge2020
Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)?
Answer:
D = (13, - 23 )
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 4, y + 15 )
To go in the reverse direction, that is image to original, then, reverse the operations in the translation rule.
(x , y ) → (x + 4, y - 15 ) , thus
D'(9, - 8 ) → D(9 + 4, - 8 - 15 ) → D(13, - 23 )
Answer:
(13,-23)
Step-by-step explanation:
DID IT ON EDGE 2020
7. 5x -6 = 3x + 14
8. 6x - 11 = 4x + 3
More and last question. Thanks YISREAL and HARRIETH!!!!!. More points for you people.
Answer:
Q1. x = 10
Q2. x = 7
Step-by-step explanation:
The steps are :
Q1.
[tex]5x - 6 = 3x + 14[/tex]
[tex]5x - 3x = 14 + 6[/tex]
[tex]2x = 20[/tex]
[tex]x = 20 \div 2[/tex]
[tex]x = 10[/tex]
Q2.
[tex]6x - 11 = 4x + 3[/tex]
[tex]6x - 4x = 3 + 11[/tex]
[tex]2x = 14[/tex]
[tex]x = 14 \div 2[/tex]
[tex]x = 7[/tex]
Answer:
[tex]x=10, \: x=7[/tex]
Step-by-step explanation:
[tex]5x -6 = 3x + 14[/tex]
[tex]5x -6+6-3x = 3x + 14+6-3x[/tex]
[tex]5x -3x = 14+6[/tex]
[tex]2x=20[/tex]
[tex]x=\frac{20}{2}[/tex]
[tex]x=10[/tex]
[tex]6x - 11 = 4x + 3[/tex]
[tex]6x - 11+11-4x = 4x + 3+11-4x[/tex]
[tex]6x-4x = 3+11[/tex]
[tex]2x=14[/tex]
[tex]x=\frac{14}{2}[/tex]
[tex]x=7[/tex]
A taxi cab charges $1.75 for the flat fee and $0.25 for each mile. Write an in equality to determine how many miles Eddie can travel if he has $15 to spend. A. $1.75 + $0.25x ≤ $15 B. $1.75 + $0.25x ≥ $15 C. $0.25 + $1.75x ≤ $15 D. $0.25 + $1.75x ≥ $15
Answer:
A. $1.75 + $0.25x ≤ $15
Step-by-step explanation:
This is because if Eddie has 15 dollars, he can only use 15 dollars or less. So in this case, the inequality would have to be less than or equal to 15 dollars.
Eddie travel $1.75 + $0.25x ≤ $15 miles when he has $15 to spend.
Option A is the correct option.
Here,
Amount of flat fee of taxi cab = $1.75
Amount of charge for each miles = $0.25
The amount Eddie has to spent = $15
We have to find inequality relationship.
What is inequality?
The relationship between two values that are not equal is defined by inequalities.
Now,
Amount of flat fee of taxi cab = $1.75
Amount of charge for each miles = $0.25
The amount Eddie has to spent = $15
Let Eddie travel x miles.
Therefore, the total charge of taxi cab = $1.75 + 0.25x
And this amount should not exceed the $15 as it is the only amount Eddie has.
Hence the inequality relationship be,
$1.75 + 0.25x ≤ $15.
Option A is the correct option.
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Solve tan^2 theta + 1 = -2 tan theta on the interval 0° ≤ θ ≤ 360°.
Answer:
Step-by-step explanation:
[tex]tan^2 \theta+1=-2 \tan \theta \\tan^2 \theta +2 tan \theta +1=0\\(tan \theta+1)^2=0\\tan \theta=-1=-tan 45=tan (360-45)=tan 315\\\theta =315 ^\circ[/tex]
∠A and ∠B are complementary. If m∠B = 64° , what is the measure of ∠A?
26°
36°
11°
64°
Answer: 26
Step-by-step explanation:
Two Angles are Complementary when they add up to 90 degrees (a Right Angle). Then
∠A + ∠B = 90
∠A =90- ∠B
∠A = 26
Answer:
The measure of [tex]\angle A[/tex]:
[tex]\angle A = 26\textdegree[/tex]
Step-by-step explanation:
Since both [tex]\angle A[/tex] and [tex]\angle B[/tex] are complementary (Which they both add up to 90°), and you want to find the measure of
Measure of [tex]\angle A[/tex]: unknown
Measure of [tex]\angle B[/tex]: 64°
Finding the measure of [tex]\angle A[/tex]:
[tex]90 - 64 = 26[/tex]
[tex]\angle A = 26\textdegree[/tex]
So, the measure for [tex]\angle A[/tex] is [tex]26\textdegree[/tex].
Which relationship describes angles 1 and 2?
Select each correct answer.
complementary angles
supplementary angles
vertical angles
adjacent angles
find the value of A when pi= 3.142 and r= 5
Answer:
7.855
Step-by-step explanation:
A=pi*r^2=3.142*5^2=3.142*25=7.855
The value of A = 7.855 units.
What is area of circle?The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately 3.142
Here, given that,
r= 5 units
Then, A=pi*r^2
=3.142*5^2
=3.142*25
=7.855
hence, the value of A = 7.855 units.
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Miss penny inherits £450 she decides to save some of the money and spend the rest. The ratio of savings to spending money is 9:6 How much does she save and how much does she spend?
Answer:
she spent £270.
Step-by-step explanation:
First, let us define what a ratio of 9:6 means.
when you have a ratio such as this, you have to add both ratios first:
9+6 = 15
This means that out of every 15 parts, the ratio of the sharing is 9 parts to 6 parts.
Now let us solve the problem
Savings to spending = 9:6
if total amount = m
ratio saved = 9/15 × m
ratio spent = 6/15 × m
Now total amount (m) = £450
∴ ratio saved = 9/15 × 450 = 4050/15 = £270
Therefore she spent £270.
To calculate the amount saved, we simply subtract 270 from 450, or we use (6/15 × 450). You can try it out to see if you get the same answer, which is she spent £180
find the measure of angle 3
please help !!
Answer:
∠3 = 140°
Step-by-step explanation:
∠4 = 40°
∠4 = ∠1 (vertical angles)
∠1 = ∠2 (alternate angles)
∠2 = 40°
So,
∠2+∠3 = 180 [Angles on a straight line add up to 180°]
40 + ∠3 = 180
∠3 = 180-40
∠3 = 140°
Answer:
Angle 3 = 140°
Step-by-step explanation:
Angle 4 is equal to 40° and on a flat surface of 180°, that is, the first horizontal line, angle A is equal to 140° because 180° - 40° = 140°. Angle A is congruent to angle 3, therefore, angle 3 is also 140°.
Which expression is equivalent to (fg)(5)?
A: f(5) x g(5)
B: f(5) + g(5)
C: 5f(5)
D: 5g(5)
Answer:
f(5).g(5)
Step-by-step explanation:
(fg)=(f.g)
this is how it starts: (fg)(X)= f(x) [g(x)]
x=5
f(5).g(X)
Find the value of x.
Please help
Answer:
x=5
Step-by-step explanation:
7/5=(2x-3)/x
5(2x-3)=7x
3x=15, x=5
Plz answer fast and help mr
Answer:
The median is 47
Step-by-step explanation:
that line in the middle of the box is directly on 47
Help me quickly I will give brainliest answer to who does it first, look at picture
Answer:
V = 54 π units³
OR
V = 169.6 units³
Step-by-step explanation:
Volume of a cylinder = [tex]\pi r^2 h[/tex]
V = (3.14)(3)²(6)
V = (3.14)(54)
V = 54 π units³
OR
V = 169.6 units³
The sides of a quadrilateral whose sides are 85cm 143cm 165cm and 85cm and one of the diagonals is 154cm
Answer:85cm is kept comstant for a while
Step-by-step explanation:
For 2nd part
1m 80 cm
=1×100cm+ 80 cm
=100cm+ 80 cm
=180cm
So
#According to question,
If both are added then,
=85cm+180 cm
=265cm
please brainlest
Step-by-step explanation:
if 24 students took a test and 18 passed how much percent passed?
Answer:
75%
Step-by-step explanation:
6 x 4 = 24 so we make 24 into a fraction 24/24, then we make 18 a fraction as well, 18/24, then we simplify 18/24 = 3/4 = 75%
Answer:
%75
Step-by-step explanation:
this question is solved by establishing the correct proportion
24 - 18
100 - ?
(100*18)/24 = 75
!35 POINTS! Find the total surface area of the following prism!
Answer:
152
Step-by-step explanation:
Why is this still worth 18 points?
because if you math 12+273 it = 8281 or something free point thank
Now your teacher is hosting a picnic for their family and discovers that 30 relatives are coming to the picnic and everyone wants to eat 2 hot dogs! What is the least number of packages of hot dogs and hot dog rolls that your teacher will have to buy to feed all her relatives?
Answer:
6 hot dogs package assuming she's buying a single package to contains 10 package or approximately 8 rolls if she buys the 8 package containing above 60 rolls of hot dogs.
In my opinion, she needs at least 8 package of hot dog rolls to make hot dogs for her guests.
Step-by-step explanation:
Hello,
There are typically 10 hot dogs in a single package. However some may contain 8 hot dogs rolls in a single pack so we'll solve for both in case which ever one she decides to buy.
My teacher is expecting 30 guests coming to the party and each 1 one them wants to eat 2 hot dogs.
To solve this question, we would first of all know the total number of hot dogs they'll probably eat at the party.
2 hot dogs = 1 person
y hot dogs = 30 people
y = (30 × 2) / 1
y = 60 hot dog.
Therefore, the guest would most likely consume at least 60 hot dogs at the party.
However, in a single hot dog package, it contains 10 hot dogs in it.
Now we'll have to find out the total number of hot dogs package my teacher needs to buy to prepare the hot dogs for her guests.
To do that, we'll have to divide the total number of hot dogs expected to be consumed by the total number of hot dogs in one package.
Number of package = total number of hot dogs expected to be consumed / total number of hot dogs in one package.
Number of package she needs = 60 / 10
Number of package she needs = 6
Therefore, my teacher requires 6 hot dog package.
But some hot dogs comes in 8 rolls per package
Using the same method above,
Number of rolls she needs = 60 / 8
Number of rolls she needs = 7.5 approximately 8 rolls
Manish and Jhanavi each receive an equal bonus. Manish has 1/2 fraction of allowance as saving accounts , 1/4 of the fraction he spend at the mall. Jhanavi has 1/3 fraction of allowance as saving accounts , 3/5 of the fraction she spend at the mall. If the allowance of each is Rs. 2520,find the amount left with Manish and Jhanavi?
Answer:
Step-by-step explanation:
Manish:
[tex]Savings=\frac{1}{2}*2520\\\\= Rs.1260\\\\Amount spend at mall=\frac{1}{4}*2520\\\\=Rs.630[/tex]
Amount left with Manish = 2520 - (1260 + 630) = 2520 - 1890 = Rs. 630
Jhanavi:
Savings = (1/3) *2520 = Rs. 840
Amount spend at mall = (3/5) * 2520
= 3 * 504
= Rs. 1512
Amount left with Jhanavi = 2520 - (840 +1512) = 2520 - 2352
= Rs. 168
Solve the inequality
t/4>7
Answer:
t>28
hope this helps!
Step-by-step explanation:
t÷4 > 7
t÷4 (×4) > 7 (×4)
t > 28
angles M and N are supplementary find angle M if angle N=27
Answer:
153°
Step-by-step explanation:
Supplementary = 180 degrees
180 - 27 = 153 degrees
Answer:
153 degrees
Step-by-step explanation:
When two angles are supplementary, their angle measures must add up to 180 degrees. Therefore:
M+N=180
M+27=180
M=180-27=153
Hope this helps!
Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. How far do Ryan and Andy live from each other?
Answer:
Answer:
Ryan and Andy live 11.4 blocks from each other.
Step-by-step explanation:Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin.Position of Ryan on coordinate system: 2 blocks west (2 unit left from origin) = -2 5 blocks south (5 unit down) = -5Coordinate of Ryan: (-2,-5)Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. Position of Andy on coordinate system: 7 blocks east (7 unit right ) = 7 2 block north (2 unit up) = 2Coordinate of Andy: (7,2)We need to find the distance of Ryan and Andy.
Answer:
C.) 11.4
Step-by-step explanation:
Just took the test on Edge 2020
HELP ASAPPPP !!!! NEED ANSWERS NOW!!
1. Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (−10,6)
Midpoint: (7,−6)
2nd endpoint: (_____,____)
2. Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (−1,0)
Midpoint: (−10,2)
2nd endpoint: (____,____)
Answer: 1. 2nd endpoint (24,-18) 2. 2nd endpoint: (-19,4)
Step-by-step explanation:
1. [tex]\frac{-10+x}{2}[/tex] = 7 x = 24
[tex]\frac{6+y}{2}[/tex] = -6 y= -18
2nd endpoint: (24,-18)
2. [tex]\frac{-1+x}{2}[/tex] = -10 x= -19
[tex]\frac{0+y}{2}[/tex] = 2 y= 4
make x the subject of the formula 6x+a=5(x+t)
Answer:
x= 5t - a
Step-by-step explanation:
6x + a = 5(x+t)
If you expand 5(x+t), you will get 5x + 5t
i.e. 6x + a = 5x + 5t
Add the additive inverse of 5x to both sides (The additive inverse of 5x is -5x)
i.e. 6x + a - 5x = 5x + 5t - 5x
x + a = 5t
Then, add the additive inverse of "a" to both sides (The additive inverse of a is -a)
i.e. x + a - a = 5t - a
x = 5t - a
Hope this helps!!!
