Answers
Answer:
1.a=5,b=-2
Step-by-step explanation:
2x+a=5-bx
divide by 2
[tex]x+\frac{a}{2}=\frac{5}{2}+\frac{-b}{2}x\\for~ to~ have ~infinite ~solutions\\\frac{a}{2}=\frac{5}{2}\\a=5\\1=\frac{-b}{2}\\b=-2[/tex]
or
equate the coefficients of like terms
-b=2
b=-2 (coefficient of x)
a=5 (constant terms)
2.
72°
external angle= sum of two opposite internal angles.
∠2=42+30=72°
Related Questions
WILL MARK YOU BRAINLIEST!!!!!
Answers
Answer:
m <6 would also be 112
Step-by-step explanation:
Two friends race. The first friend gets a head start and runs at a steady rate of 0.20 miles per minute. The second friend waits 1 minute and then runs at a steady rate of 0.25 miles per minute. How long will it take for the second runner to catch up with the first?
Answers
Step-by-step explanation:
In this problem we are expected to solve for the time taken for the second person to meet with the first.
given that
first person's speed=0.2mph
let time taken be= x
we know that
velocity= distance/time
0.2=distance/x
distance=0.2x----1
second person's speed= 0.25mpm
time taken=x-1
we know that
velocity= distance/time
0.25=distance/x-1
distance=0.25(x-1)
distance=0.25x-0.25-----2
equating equation 1 and 2 we have
0.2x=0.25x-0.25
0.2x-0.25=-0.25
-0.05x=-0.25
divide both sides by -0.05 we have
x=-0.25/-0.05
x=5
we know that the second person's time is described by
=x-1
=5-1=4min
The second person will catch up after 4 minutes
A number x is twice its reciprocal. What is x^6?
Answers
Answer:
8
Step-by-step explanation:
x = 2/x <=== It must be: x ≠ 0. Solve for x. Multiply both sides by x.
x^2 = 2.
Hence:
x = ±√2.
Both -√2 and √2 give 8 when they are raised to the power of 6.
(-√2)^6 = (√2)^6 = 8.
The value of the given expression [tex]x^6[/tex] is 8 and this can be determined by using the arithmetic operations.
Given :
A number x is twice its reciprocal.
The following steps can be used in order to determine the value of [tex]x^6[/tex]:
Step 1 - The arithmetic operations can be used in order to determine the value of [tex]x^6[/tex].
Step 2 - The mathematical expression of the given statement "A number x is twice its reciprocal" is:
[tex]x = \dfrac{2}{x}[/tex]
Step 3 - Simplify the above expression in order to determine the value of 'x'.
[tex]x = \pm\sqrt{2}[/tex]
Step 4 - Now, substitute the value of 'x' in the given expression.
[tex]x^6= (\sqrt{2} )^6\\x^6 = 8[/tex]
So, the value of the given expression [tex]x^6[/tex] is 8.
For more information, refer to the link given below:
https://brainly.com/question/25834626
At a fast food restaurant, customers are asked if they want to “round up” their bill to the next highest dollar and donate the additional money to charity. The cashier is instructed to tell the customer that their bill is X dollars and Y cents. Assume that the values of Y are equally likely to be any value from 0 to 99 cents and that customers are equally likely to “round up” regardless of the amount of their bill. The density curve below models Y, the donation amount. (a) What is the shape of the distribution of donations? (b) What proportion of donations are at least 85 cents? (c) What percent of donations are between 30 and 40 cents?
Answers
Answer:
(a) 0.1414
(b) 0.1010
Step-by-step explanation:
(a)
The density curve is rectangular in shape.
This implies that the distribution of donations is Uniform.
(b)
Compute the probability of donations at least 85 cents as follows:
[tex]P(X\geq 85)=\int\limits^{99}_{85} {\frac{1}{99-0} \, dx[/tex]
[tex]=\frac{1}{99}\times [x]^{99}_{85}\\\\=\frac{99-85}{99}\\\\=0.1414\\\\[/tex]
Thus, the proportion of donations that are at least 85 cents is 0.1414.
(b)
Compute the probability of donations between 30 and 40 cents as follows:
[tex]P(30\leq X\leq 40)=\int\limits^{40}_{30} {\frac{1}{99-0}} \, dx[/tex]
[tex]=\frac{1}{99}\times [x]^{40}_{30}\\\\=\frac{40-30}{99}\\\\=0.1010[/tex]
Thus, the probability of donations between 30 and 40 cents is 0.1010.
What is the value of √64 × ∛27?
Answers
Answer:
24
Step-by-step explanation:
√64 ×∛27
√64=√8²=8
∛27 = √3³=3
8*3=24
1) The standard form of a linear equation is written as .
ax + by=c
a. Write the equation in slope-intercept form( y= mx + b)
b. Write the slope, y-intercept form of (a).
PLS HELP
Answers
Answer:
[tex]\displaystyle y=-\frac{a}{b}x+\frac{c}{b}[/tex]
Step-by-step explanation:
The equation of the line, expressed in slope-intercept form is:
[tex]y=mx+y_o[/tex]
Where m the slope and yo the y-intercept.
Since we are given the line in standard form:
ax+by=c
To find the slope-intercept form, we just solve it for y:
[tex]\boxed{\displaystyle y=-\frac{a}{b}x+\frac{c}{b}}[/tex]
Comparing the last equation with the slope-intercept form:
[tex]\displaystyle m=-\frac{a}{b}[/tex]
[tex]\displaystyle y_o=\frac{c}{b}[/tex]
Answer:
ax + by = c
-ax -ax
by=ax+c
then dived both sides by b to get y by itself
y= a/bx +c
Step-by-step explanation:
A theater company charges $5.50 per ticket for people of all age groups. If c represents the total number of children who brought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?
Answers
Answer:
[tex]5.50c+5.50a[/tex]
Step-by-step explanation:
Cost of 1 ticket = $5.50
Total number of children who brought tickets = c
Total number of adults who bought tickets = a
Amount earned from selling tickets to children = 5.50 c
Amount earned from selling tickets to adults = 5.50 a
Therefore,
Total money earned by the company from the sale of tickets = [tex]5.50c+5.50a[/tex]
When attempting to do his homework, Mark incorrectly uses the addition property of equality below. Which
statement would correct Mark's error?
1) 8 + x = 2
2) 8-8 + x = 2
3) x = 2
A. To balance the equation, Mark should also subtract 2 from the right side of the equation in step
2.
B. To balance the equation, Mark should also subtract 2 from both sides of the equation in step 2.
C. To balance the equation, Mark should also subtract 8 from the right side of the equation in step
2.
D. To balance the equation, Mark should also add 8 to both sides of the equation in step 2.
Answers
Answer: Its actually C
Step-by-step explanation: Correct on edge 2022
Einstein once developed the formula, E = mc2, to describe the theory of relativity, where E is the total energy in the system, m is the total mass, and c2 is the speed of light. If the equation was to be rearranged in order to solve for the total mass, which formula below should be used?
A - m = E/c2
B - m = E — c2
C - m = Ec2
D - m = E + c2
Answers
Answer:
The formula which should be used is [tex]m=\frac{E}{c^{2}}[/tex] ⇒ A
Step-by-step explanation:
To solve an equation of different variables to one of these variables do that
Write the equation and underline the variable you want to solve for itSeparate this variable on one side and all other terms on the other sidesLet us do that with the question
∵ E = mc²
→ E is the total energy
→ m is the total mass
→ c² is the speed of light
∵ We need to solve the equation for the total mass m
→ We need to take c² to the other side
∵ c² is multiplied by m
∴ Divide both sides by c² to move it from the right side to the left side
∴ [tex]\frac{E}{c^{2}}=\frac{mc^{2}}{c^{2}}[/tex]
→ Cancel c² with c² on the right side
∴ [tex]\frac{E}{c^{2}}=m[/tex]
→ Switch the two sides
∴ [tex]m=\frac{E}{c^{2}}[/tex]
The formula which should be used is [tex]m=\frac{E}{c^{2}}[/tex] ⇒ A
1 1/2d-9=12 can you help explain how to do this
Answers
Answer:
d =14
Step-by-step explanation:
[tex]1\frac{1}{2} d -9 =12[/tex]
[tex]\frac{3}{2} d = 12+ 9[/tex]
[tex]\frac{3}{2} d =21[/tex]
[tex]d = 21 : \frac{3}{2}[/tex]
[tex]d = 14[/tex]
.
During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. Explain in words each step to find the following question:
At what number(s) measures played would the sound level be at 80 decibels?
Answers
Answer:qsq
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer to this is 1 or 7:
To find the range for the number of measures played to satisfy our solution, we must solve for x using s = 80.
Next, we subtract 50 from both sides of the equation.
Next, we divide both sides of the equation by 10
Next, to eliminate the absolute value bars, we will add a ± sign in front of our s value, 3.
Finally, we add 4 to both sides of our equation giving us 4 ± 3 = x
Separating this into two equations, we get 4 - 3 = x and 4 + 3 = x
Therefore, x, the number of measures of music played, must be either 1 or 7.
my correlation coefficient for the linear model i created is 0.8. What does this mean?
Answers
ce is the angle bisector of dcb and m
Answers
Answer:
We are given that ray CE is an angle bisector of angle ACD. With this, we have the equation,
mACE = mECD
Next, we look at the choices
mECD = mECB > This not possible since ray CD is between the two angles
mACE = mACD > This is still not possible since ray CE is between the two angles
mACE = mDCB > This is possible since angles ACE, ECD and DCB are complementary angles.
mECD = mACD > This is not possible since ray CE is between the two rays
The answer is the third option
Step-by-step explanation:
, what is the radius of a circle with circumference 37.7 m?
Answers
Answer: r≈6
Step-by-step explanation: Using the formula
C=2πr
Solving forr
r=C
2π=37.7
2·π≈6.00014
Answer:
The radius is 6
Step-by-step explanation:
The circumference of a circle is equal to pi times the diameter. The diameter is two times the radius, so the equation for the circumference of a circle using the radius is two times pi times the radius
C=2πr
r=C
2π=37.7
2·π≈6.00014
Hope this helps!
-Jerc
Here are six number cards.
-4-2-1,5,6,8
Arrange the cards into three pairs with the same total
Answers
Answer:
-1+5=4(so-1and5)
-2+6=4(so-2and6)
-4+8=4(so-4and8)
Can you help me, friends, please?
Answers
Answer:
slope: -3
y-intercept: 3
y = -3x +3
Step-by-step explanation:
Hint: Use the Desmos Graphing Caculator for liner equaions!
What is the multiplicative inverse of 4 5/19
Answers
Answer:
The answer is 4 and 5 ii think Step-by-step explanation:
6^5 x 6^4=6 to the power of what
Answers
Because you add the powers 5+4
Answer:
6⁹
Step-by-step explanation:
HI there !
6⁵ ₓ 6⁴ = 6⁵⁺⁴ = 6⁹
Good luck !
Write 2 5/7 in radical form
Answers
Answer:
19/7
Step-by-step explanation:
Bananas cost $1.50 per pound, and guavas cost $3.00 per pound. Kiran spends $12 on fruit for a breakfast his family is hosting. Let b be the number of pounds of bananas Kiran buys and g be the number of pounds of guavas he buys.
Answers
Answer:
4 pounds of bannanas and 2 pounds of guava
Step-by-step explanation:
2 pounds of bananas equals 1 guava
Graph the line that passes through the points (3,7) and (-9, -1) and determine
the equation of the line.
Answers
Answer:
y=2/3+5
Step-by-step explanation:
Answer:
y=2/3+5
Step-by-step explanation:
Solve for x.
4−(2x+4)=5
A. x=32
B. x=−52
C. x=−10
D. x = 6
Answers
x = - 2.5
Step-by-step explanation:Hi there !
4 - (2x + 4) = 5
4 - 2x - 4 = 5
- 2x = 5
2x = - 5
x = - 5 : 2
x = - 2.5
Good luck !
2. Write AND simplify an expression showing how many times farther
Neptune is from the Sun than Mercury. Write the result in scientific
notation.
(to write an exponent go to the second row and second item to access
math symbols-Sub and sup)
Answers
Answer: 0.8 x 10 to the power of 2 neptune is 8x further away than murcury
Step-by-step explanation: i had this problem i thought i would give you an answer that acully answers the question
Need help ASAP! Ty
. 。 • ﾟ 。 .
. . 。 。 .
. 。 ඞ 。 . • •
ﾟ Black was not An Impostor. 。 .
' 1 Impostor remains 。
ﾟ . . , . .
Answers
Answer:
Its 22 squared feet
Step-by-step explanation:
you multiply everything and then divide by 1/2 because it's a triangle, so you would use the equation for that.
Answer:
the first one
Step-by-step explanation:
0.33333... rational or irrational
Answers
Answer:
irrational
Step-by-step explanation:
Answer:
I think rational because like it can be a fraction. but like I wouldn't trust me.
Solve the equation.
7x - 2 = 10x + x + 6x
Answers
Answer:
x=-2 or x=5
Step-by-step explanation:
trust.
Open GeoGebra, and follow the steps below to create and compare triangles using the side-angle-side criterion.
Question 1
Create a triangle of your choice on the grid. Measure two of the sides on the triangle and the angle between the two sides. Record the measurements in the table.
Answers
Answer:
Answers will vary but might resemble this answer based on a triangle called ∆ABC.
Create a scenario for y=3x+4 will mark brainliest
Answers
Answer:
y=10
Step-by-step explanation:
x=2
3x2= 6
6+4 = 10
Use given graph to determine the limit, if it exists. Find lim f(x) -2 and lim f(x) 2+ WILL GIVE BRAINLIEST
Answers
Answer:
it does not exist my friend
Select the graphs that show a proportional relationship between x and y.
Answers
is there any graphs that you see in the question? if so put a photo of them so i know what your seeing.