Answer:
The value of x that makes both functions. y = 4·x + 6 and y = 5·x + 3 equal is;
x = 3
Step-by-step explanation:
The given functions are;
y = 4·x + 6 and y = 5·x + 3
For the functions to be equal, we have that the y values are equal, therefore;
y = y and 4·x + 6 = 5·x + 3, which gives;
4·x + 6 = 5·x + 3
5·x - 4·x = 6 - 3
∴ x = 3
Therefore, the value of x that makes both functions. y = 4·x + 6 and y = 5·x + 3 equal is x = 3.
Answer:
x=3
Step-by-step explanation:
please help with math problem !! (explanation needed) -3 + (8 – 2x)4 = 29
Answer:
x = -4
Step-by-step explanation:
To solve this type of question, put the term with the exponent on one side and the numerical term on the other side
∵ -3 + [tex](8-2x)^{\frac{5}{4}}[/tex] = 29
→ Add 3 to both sides
∵ -3 + 3 + [tex](8-2x)^{\frac{5}{4}}[/tex] = 29 + 3
∴ [tex](8-2x)^{\frac{5}{4}}[/tex] = 32
→ Remember is [tex]x^{\frac{m}{n}}[/tex] = a, then x = [tex]a^{\frac{n}{m}}[/tex], that means to move the exponent
from one side to the other side reciprocal it
∴ 8 - 2x = [tex](32)^{\frac{4}{5}}[/tex]
→ Use your calculator to find the value of [tex](32)^{\frac{4}{5}}[/tex]
∵ [tex](32)^{\frac{4}{5}}[/tex] = 16
∴ 8 - 2x = 16
→ Subtract 8 from both sides
∴ 8 - 8 - 2x = 16 - 8
∴ -2x = 8
→ Divide both sides by -2
∴ x = -4
To check the solution substitute x by -4 in the left side and find its answer if it equals the right side, then the solution is right
∵ Left side ⇒ -3 + (8 - 2 × -4)[tex]^{\frac{5}{4}}[/tex] = -3 + (8 + 8)[tex]^{\frac{5}{4}}[/tex] =-3 + (16)[tex]^{\frac{5}{4}}[/tex] = -3 + 32 = 29
∵ Right side = 29
∴ The solution is right
answers please needed for school obviously
Answer:
y=6x+30
Step-by-step explanation:
y is the total temperature
6x is the increase of temperature by 6° per x hours
30 is the y-intercept, you start with this number
9514 1404 393
Answer:
y = 30 + 6xsee below for a graphStep-by-step explanation:
The increase in temperature is the product of the increase per hour and the number of hours: 6x.
The temperature at any time is the sum of the initial temperature (30°) and the increase (6x).
y = 30 + 6x . . . . . temperature equation
__
This is graphed as a line with an initial value of 30 and a slope of 6. (Note the attached graph has different grid line spacing vertically than horizontally.)
Find the unit rate: $7.40 for 5 pounds
Answer:
Step-by-step explanation:
7.40 for 5 pounds
7.40/5= 1.48 a pound
The cost of buying our Stats book online is represented by the 8 sample purchases (in dollars) below: 67.99 78.99 68.99 84.36 80.24 86 101.25 99.29 3. If I bought a book for both me and a friend, what's the chance that I would pay, on average, under $70 per book?
Answer:
2/8
Step-by-step explanation:
Cost of book 8 sample purchases (in ascending order) : 67.99, 68.99, 78.99, 80.24, 84.36, 86, 99.29, 101.25
Chance (Probability) of paying under $70 = Favourable outcomes (<70)
Total outcomes
= 2/8
A scalene triangle is reflected over the x axis and then rotated 90° counter clockwise which composition of transformation and Will map the polygon back onto its original image
Answer: Rotate 90 degrees clockwise then reflect over the x-axis
Step-by-step explanation:
Help please I’m being timed
Apples and Pizza
1.Based on the information in the table, is the cost of the apples proportional to the weight of apples?
Pounds of apples / Cost of apples
2lbs $3.76
3lbs. $5.64
4lbs $7.52
5lbs. $9.40
Answer:
1.88
Step-by-step explanation:
2 divided by 3.76 is 1.88
and you get the same with all of the others
Plz help me !!! I will cash app you !!! Plz help meeee ❤️
Answer:
9. A 10. D
Step-by-step explanation:
9. 99.60 divided by 8
$12.45/book
10. 288/80
3.6
3.6 times 10 cookies
36 grams
Answer:
1. (A) 12.45 2. (D) 36
Step-by-step explanation:
Are the two triangles below similar? (1 point)
01) Yes; they have congruent corresponding angles
0 2) No; they do not have congruent corresponding angles
3) Yes; they have proportional corresponding sides
04) No; they do not have proportional corresponding sides
Answer:
Yes they jave proportional corresponding sides
given the slope of the line and one point that it passes through, represent the equation of the line in point-slope form. then rewrite the equation in slope-intercept form.
(0,5) ; m =3
Answer:
Step-by-step explanation:
y - 5 = 3(x - 0)
y - 5 = 3x - 0
y = 3x + 5
Answer:
Step-by-step explanation:
answer on edmentum
Guyyyy Please help I have no idea what the answer is
Answer:
Step-by-step explanation:
x = 90 - 54 = 36
Answer:
x = 36
Step-by-step explanation:
The sum of all the angles in a triangle is 180
Add the known angles together
54 + 90 = 144
then subtract 180 and 144 to find x
180 - 144 =36
Match each table to its corresponding explicit formula.
Answer:
see attached
Step-by-step explanation:
The answer is in below picture
Answer:
First table = [tex]f (n)[/tex] = [tex]2[/tex] · [tex](4)^{n-1}[/tex]
Second table = [tex]f (n)[/tex] = [tex]3[/tex] · [tex](2)^{n - 1}[/tex]
Third table = [tex]f (n)[/tex] = [tex]2[/tex] · [tex](6)^{n - 1}[/tex]
I hope this helps you.
At a sale, coats were sold for $118 each. If the coats originally cost $200 each, what percentage of its original price was a coat sold for?
rAnswer:
Step-by-step explanation:
20$
Find the theoretical probability.
Simplify completely.
Answer:
3/8
Step-by-step explanation:
Favorable outcome is 3
Total outcome is 8
P(1, 2, or 3) = [tex]\frac{3}{8}[/tex]
The theoretical probability is 0.375
We have given that, a diagram of the circle.
We have to find the theoretical probability and simplify the probability.
What is the formula for probability?Theoretical Probability = Number of favorable outcomes / Number of possible outcomes.
The favorable outcome is 3.
The total outcome is 8
P(1, 2, or 3) = 3/8
The theoretical probability is 0.375
To learn more about theoretical probability visit:
https://brainly.com/question/8652467
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10 points!!!
Evaluate. 5 + |1 - 4| (3 - 6)^2 /3
A. 6
B. 11
C. 14
D. 24
Answer:
The answer from using a graphing calculator would be B because I had gotten 11.24025147 and that would round up to 11
Step-by-step explanation:
I would suggest that you use your graphing calculator for this or calculator.
What is the value of 1/2x^3+3.4y when x=4 and y=2 PLZ HELP. WILL GIVE BRAINLIEST TO RIGHT ANSWER
Answer:
the answer is= 38.8
Step-by-step explanation:
Answer:
what does the dot mean? so far without the .4y I got 9
Step-by-step explanation:
justin and his friends dan went to the movies if they each bought popcorn for $4.25 and soda for $2.25 what was their total bill after adding 5% of sales tax
Answer:
Step-by-step explanation:
4.25+2.25=6.50 per person
6.50*2 people= 13.00
13.00*5% tax=0.65 tax
13.00+.65= 13.65
Answer:
Step-by-step explanation:
4.25 x 2 + 2.25 x 2 = 13
Convert 5% into a decimal ( 0.05)
0.05 x 13 = 0.65
0.65 + 13 equals 13.65
if f(x) = 3x-1 and g(x)= x+2 find (f-g)(x)
Answer:
2x-3
Step-by-step explanation:
f(x) = 3x-1
g(x) = x+2
Find (f-g)(x), this means we need to subtract g from x.
(3x-1) - (x+2)
Subtract the like terms:
3x -x = 2x
-1 -2 = -3
Combine them to get 2x-3
The GCF, greatest common factor, for 35 and 70 is:
O No answer text provided.
O No answer text provided.
O 5
O 35
O 70
o
None of the above
Answer: 35
Step-by-step explanation:
Help me complete this table please
Answer:
x -6 3 15 -12
y 11 5 -3 15
Step-by-step explanation:
Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.
Given function is,
[tex]y = -\frac{2}{3}x +7[/tex]
If Domain (input values) of this function is,
{-12, -6, 3, 15}
Table for the input-output values of this function,
x -6 3 15 -12
y 11 5 -3 15
What is the answer to
-100%+0.58= ?
Answer:
-0.42
Step-by-step explanation:
Answer: -0.42
Step-by-step explanation:
Which equation represents a line that passes through the point (6,-3) and is parallel to the graph y=3x+1
Answer:
y = 3x + 6
Step-by-step explanation:
To make the equation we'll use the form y = mx + b, where m is the slope and b is the y-intercept. When a line is parallel to another, both lines have the same slope, so the slope of the equation will be 3. Now that we know the slope, we can input the point (6, -3) into the equation to solve for the y-intercept:
y = mx + b
y = 3x + b
-3 = 3(-3) + b
-3 = -9 + b
Add 9 to both sides to isolate the b:
-3 + 9 = -9 + 9 + b
6 = b
The y-intercept is 6. Let's put that into our equation:
y = 3x + 6
Now we have our answer :)
Simplify: 3(4x-5) - (3x+2)
Answer:
Step-by-step explanation:
3(4x-5)-3x+2 work the ()
12x-15-3x+2 combine like terms
9x-13
The temperature dropped 2°C every hour for 8 hours. What was the total number of degrees the temperature changed in the 8 hours?
Answer: 16 degrees
Step-by-step explanation: degrees will be represented by d
2d*8= 16d
16 degrees
Answer: -14 degrees
Step-by-step explanation:
1
2-2
3-2
4-2
5-2
6-2
7-2
8-2
-------------------
-14 degrees
how do I get the answer for this quadratic equation in simplest form?
[tex]4( x - 7)^2 - 48 = 12[/tex]
Answer:
x = 7 ± [tex]\sqrt{15}[/tex]
Step-by-step explanation:
Given
4(x - 7)² - 48 = 12 ( add 48 to both sides )
4(x - 7)² = 60 ( divide both sides by 4 )
(x - 7)² = 15 ( take the square root of both sides )
x - 7 = ± [tex]\sqrt{15}[/tex] ( add 7 to both sides )
x = 7 ± [tex]\sqrt{15}[/tex]
The table shows the battery life of four different mobile phones.
Mobile Phone Battery Life
Phone Battery Life
A 20
B 25
C 10
D 18
If 7.75% of the battery life of each mobile phone is used in a day by a typical user, for which mobile phone is 0.775 hour of battery life used in a day?
Phone A
Phone B
Phone C
Phone D
Answer:
1. B
2. D
hope this helped
Answer:
Probably phone C
Step-by-step explanation:
Which of the following correctly represents the given
data in the problem?
A survey of 80 students found that 24 students both play
in the band and play a sport. But 22 students are not in
band and do not play a sport. There are 48 students in
the band. If being in band is the row variable and playing
sports is the column variable, fill in the labels the table.
a = 24, g = 48, h = 22, i = 80
a = 22, c = 80, d = 24, í = 48
a = 24, b = 48, c = 22, i = 48
Play a
Sport
Do Not
Play a
Sport
Total
a=24, c = 48, e = 22, i = 80
In Band
a
b
c
Not in Band
d
e
f
Total
g
h
i
Answer:34 play sports; 46 don't play sports
Step-by-step explanation:
80 total students
48 in band
24 band and sport
24 band only
22 neither
10 sports only
80-22 = 58 participants
58-48 = 10
24 both + 10 sports only = play 34 sports
80-34 = 46 don't play sports
Answer:
it's D
Step-by-step explanation:
I just answered the question! Get that grade up :)
Round 90.2844097979 to 3 decimal places.
Answer:
It would be 90.284.
Step-by-step explanation:
7. The bottom of a river makes a V-shape that can be modeled with the absolute value function,
d(h) = 1/6 |h – 300| - 50 where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbor master and you want to place buoys where the river bottom is 20 feet below the surface. If one buoy is to be placed 120 feet away from the left shore, how far should the second buoy be placed form the left shore?
(Note: A buoy is an anchored float serving as navigation mark, to show reefs or other hazards to guide ships.)
Answer:
If one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480
Step-by-step explanation:
Given that:
The absolute value function:
[tex]d(h) = \dfrac{1}{6}|h - 300| - 50[/tex]
To calculate the position of the buoy where the river bottom is 20 feet below the surface, we equate the absolute value function to the negative value of 20 feet and then solve it for h.
d(h) = -20
[tex]d(h) = \dfrac{1}{6}|h - 300| - 50 = -20[/tex]
Let us add the sum of 50 on both sides, then:
[tex]= \dfrac{1}{6}|h - 300| - 50+50 = -20+50[/tex]
[tex]= \dfrac{1}{6}|h - 300| = 30[/tex]
By multiplying 6 on both sides, we have:
|h - 300| = 30 (6)
|h - 300| = 180
We can attempt the above expression by rewriting it as two equations:
h - 300 = 180 or h - 300 = - 180
Let us add 300 to both sides from the two expressions above:
h - 300 + 300 = 180 + 300 or h - 300 + 300 = -180 + 300
h = 480 or h = 120
Thus, if one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480
[tex]\mathbf{d(h) = \frac 16|h - 300| - 50}[/tex] is an illustration of an absolute function.
The buoy should be placed at 480 feet from the left shore
The function is given as:
[tex]\mathbf{d(h) = \frac 16|h - 300| - 50}[/tex]
To place a buoy at 20 feet below, means d(h) = -20
So, we have:
[tex]\mathbf{-20 = \frac 16|h - 300| - 50}[/tex]
Add 50 to both sides
[tex]\mathbf{30 = \frac 16|h - 300|}[/tex]
Multiply both sides by 6
[tex]\mathbf{180 = |h - 300|}[/tex]
Remove absolute bracket
[tex]\mathbf{h - 300 = -180}\ or\ \mathbf{h - 300 = 180}[/tex]
Make h the subject
[tex]\mathbf{h = 300-180}\ or\ \mathbf{h = 300+180}[/tex]
[tex]\mathbf{h = 120}\ or\ \mathbf{h = 480}[/tex]
This means that, the buoy should be placed at 480 feet from the left shore
Read more about absolute functions at:
https://brainly.com/question/1389494
HELP ASAPPPPP 5 POINTSSSSS
Answer:450
Step-by-step explanation:
first subctract then add
Answer:
The answer is C. The vertex is (-1,-12)
Step-by-step explanation: