Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x x that support your conclusion. x − 5 = x−5= 5 − x 5−x
Answer:
It has 1 solution
[tex]x=5[/tex]
Step-by-step explanation:
Given
[tex]x - 5 = 5 - x[/tex]
Required
Determine the number of solution
[tex]x - 5 = 5 - x[/tex]
Collect Like Terms
[tex]x + x = 5 + 5[/tex]
[tex]2x = 10[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} = \frac{10}{2}[/tex]
[tex]x = \frac{10}{2}[/tex]
[tex]x = 5[/tex]
Since the value of x is 5, then the equation has 1 solution
[tex]x = 5[/tex] is its only value
what is 7.3 estimated to
A function f satisfies f(2)= 3 and f(3) = 5. A
function g satisfies g(3) = 2 and g(5) = 6. What is
the value of f(g(3)) ?
A.) 2
B.) 3
C.) 5
D.) 6
Answer:
B. 3
Step-by-step explanation:
Start with the inside brackets where we have g(3). As seen, g(3) is given to be =2 so g(3) inside the bracket is now replaced with 2, giving us f(2). F(2) is given as 3, therefore the answer is B. 3
Hope this helped!
[GIVING BRAINIEST] What is 18/6
Answer:
3
Step-by-step explanation:
18/6 = 3
The altitude a ( in feet) of a plane t minutes after lift off is given by a=3400t+600
How many minutes after liftoff is the plane at an attitude of 21,000 feet?
I need help understanding this ASAP PLZ!!!
Answer:
6 minutes
Step-by-step explanation:
'a' in the formula represents altitude in feet. You are told the altitude is 21000 feet, so put that into the formula:
21000 = 3400t +600
You can solve this for t:
20400 = 3400t . . . . . subtract 600 from both sides
6 = t . . . . . . . . . . . . . . . divide both sides by 3400
The problem statement tells you that t represents minutes after lift off, so this solution means the altitude is 21000 feet 6 minutes after lift off.
The question is asking for the number of minutes after lift off that the plane reaches an altitude of 21000 feet, so this answers the question directly:
The plane is at an altitude of 21000 feet 6 minutes after lift off.
An object is moving at a speed of 4 meters per month. Express this speed in inches
per hour. Round your answer to the nearest hundredth.
*Note: you must use these exact conversion factors to get this question right.
Distance / length
Time
1 foot (ft) = 12 inches (in)
1 minute (min) = 60 seconds (sec)
1 yard (yd) = 3 feet (ft)
1 hour (hr) = 60 minutes (min)
1 mile (mi) = 5280 feet (ft)
1 day (day) = 24 hours (hr)
1 meter (m) = 100 centimeters (cm)
1 week (week) = 7 days (days)
1 kilometer (km) = 1000 meters (m)
1 month (month) = 30 days (days)
1 inch (in) = 2.54 centimeters (cm)
1 year (year) = 365 days (days)
1 foot (ft) = 0.305 meters (m)
1 mile (mi) = 1.609 kilometers (km)
Answer:
0.22inches/hourStep-by-step explanation:
Given the speed of an object to be 4metres/month, we are to express the speed in inches/hour.
First we will need to convert 4meters to inches
From the conversion factors given,
1 foot (ft) = 0.305 meters (m)
x ft = 4metres
cross multiply
x * 0.305 = 4*1
x = 4/0.305
x = 13.115ft
4 metres = 13.115ft
Then we will convert 13.115ft to inches
From the conversion factors,
1 foot (ft) = 12 inches (in)
13.115ft = y
cross multiply
y = 13.115*12
y = 157.377 inches
Hence 4 metres = 157.77inches.
For 1 month to hour
First we need to convert month to days and from the conversion factor
1 month = 30 days
Next is to convert 30days to hours
Since 1 day = 24hours
30days = z
z = 30* 24
z = 720hours
Hence 1 month = 720hours
On converting 4metres/month to inches/hour
4metres/month = 157.77inches/720hours
4metres/month = 0.219inches/hour
Hence the speed of the object in inches per hour to the nearest hundredth is 0.22inches/hour
What is m RMS in the figure below?
RA
P
M
128°
T
A 26
B 38
C 52
D 128
Answer:
Option (B)
Step-by-step explanation:
There are two lines PS and QT intersecting each other at a point M.
It's given that m∠PMT = 128° and m∠QMR = 90°
Since ∠PMT and ∠QMS are the vertical angles so these angles will be equal in measure.
∠PMT = ∠QMS
128° = m∠QMR + m∠RMS
128° = 90° + m∠RMS
m∠RMS = 128° - 90°
m∠RMS = 38°
Therefore, Option (B) will be the answer.
help on math question pls!!
[tex]-5*(-7)=35[/tex]
[tex]|35|=35[/tex]
[tex]-1*35=-35[/tex]
Hope this helps.
頑張って!
What ratios can we say are equivalent to 2:9?
Answer:
4:18, 6:27, etc
Step-by-step explanation:
Basically, anything x 2 and x 9 would be equivalent as a ratio
Answer:
4:18
Step-by-step explanation:
times them both by two
Eating on campus The director of student life at a small college wants to know what percent of students eat regularly in the cafeteria. To find out, the director selects an SRS of 300 students who live in the dorms. Describe how undercoverage might lead to bias in this study. Explain the likely direction of the bias.
Answer:
Well, in this case all the students selected live in the dorms, so it is actually likely that they eat in the cafeteria regularly.
For example, a student that lives in a house (with family, friends, etc) may have access to eat in his own place or may have larger economic freedom, so maybe they go and eat out. In this group, you may find that the probability for a randomly selected student eats in the cafeteria regularly may be smaller than in the group of the students that live in the dorms.
So the sample will be biassed towards eating regularly in the cafeteria.
3 over the power of 2 multiply by 3 over the power of 5
Answer:
[tex] 3^2 \times 3^5 = 3^7 [/tex]
3^2 * 3^5 = 3^7
Step-by-step explanation:
I assume you mean this:
[tex] 3^2 \times 3^5 [/tex]
If so, then the rule is that when you multiply two numbers with the same base, you give the same base and add the exponents.
[tex] 3^2 \times 3^5 = 3^{2 + 5} = 3^7 [/tex]
a city’s average temperature over five months is shown in the graph. which statement is not true of the data
Answer: March to April shows the least increase of average temperature.
Answer:
It’s d
Step-by-step explanation:
Scott imports a car from Japan for $12,500. He places an advertisement to sell the car in the newspaper and sells it for $26,800.
How much profit has he made ?
How much percentage gain has he mad on his investment?
Answer:
14300
Step-by-step explanation:
12500-26800
Please help!!! I'll mark you brainiest and give you as many Points as possible!!!!!
Answer:
Option C
Step-by-step explanation:
[tex]f(x) = 40( \frac{1}{4} )^{x} [/tex]
Answer: its a
Step-by-step explanation:
2. Simplify the expression
6xy*(2xy = x?)
Answer:
2+2=4
Step-by-step explanation:
Rachel plans to study 2 hours for her next exam how might plotting her
Is 6.08276 an irrational number
Need help! Will mark BRAINLIEST!!!
Answer:
1) 3
2) 7
3) 4
4) 13
5) 5
6) 6
7) 11
8) 8
9) 7
10)80*
11)45*
12) Can't really see sorry
13) Is that the whole question? If not just comment the whole thing and Il'l try answer it ☺ Hope that helped!
Answer:
1. RS = - 2-(-5) = 3
2. R5 = 2 -(-5) = 7
3. ST = 2- (-2) = 4
4. RU = 8-(-5) = 13
5. PQ is a straight line with the length of 5 units.
6. QR is a straight line with the length of 6 units.
7. PR is a straight line with the length of 11 units.
8. AC = 24
4x=24
x=6
AB=6
9. BC = 15
3x=15
BD = 3x + 4x - 13
= 22
I might be wrong
Simplify this expression.
275(13 + 2)
265 + 2/10
25+27
26765 + 2/10
O 265 +2 10
if g(x) = 3 - 2x find g(-1)
Answer:
5
Step-by-step explanation:
g(x) = 3 - 2x
Let x= -1
g(-1) = 3 - 2*-1
= 3 - -2
= 3+2
= 5
Answer:
5
Step-by-step explanation:
g(-1)=3-(2(-1))
g(-1)=3+2
g(-1)=5
2. Which of the following is a common factor of *
4x? - 12x² and 8x² - 4x?
Answer:
Im not sure but hiiiiiiiiii.
Step-by-step explanation:
Please help me with this!! (20 points)
Answer:
BC, BD
Step-by-step explanation
If right please brainly
Idk how to solve these
The difference of the squares of two positive consecutive even integers is 12. Find the integers. Use the fact that, if x represents an even integer, then x + 2 represents the next consecutive even integer
Answer:
2 and 4.
Step-by-step explanation:
(x+2)^2 - x^2 = 12
x^2 + 4x + 4 - x^2 = 12
4x + 4 = 12
4x = 8
x = 2.
Hence the integers are 2 and 4.
1. Each of the six cards shows a shape.
N
3
X
5
4
z
a. Which pair of cards shows a shape and its image after a rotation?
b. Which pair of cards shows a shape and its image after a reflection?
Answer:
a). Cards (1) and (4)
b). Cards (3) and (5)
Step-by-step explanation:
(a). From the cards attached,
If card (1) is rotated by an angle of 180° counterclockwise, we get the image given in card (4).
Therefore, card (4) will be the image of card (1) after a rotation.
(b). If we reflect card (3) across a horizontal line (or x- axis) image card (4) is obtained.
Therefore, card (3) and card (5) is the pair of cards.
3x−5−2(−x+9)=2 plz help
Answer:
X = 5
Step-by-step explanation:
multiply what is in the ( )
-2 ( -2)
-2 ( 9)
3x -5 +2x -18 = 2
combine like terms
5x -23 = 2
add 23 to both sides
5x = 25
divide 25 by 5
X = 5
Please help me!!!!!!
Answer:
105
Step-by-step explanation:
LN = 6x
LN = LM + MN ➡ LN = 4x + 8 + 27 so 6x = 4x + 8 + 27
2x = 35 and x = 17.5
6 × 17.5 = 105
Answer:
105
Step-by-step explanation:
4x+8+27=6x
subtract 4x from both sides you get 35 = 2x
divide and get x= 17.5
you know LN = 6(x), so substitute 17.5 in for x and you get 6(17.5)= 105
what would be the answer to g+3=17
Answer:
g = 14
Step-by-step explanation:
g + 3 = 17
minus 3 from both sides
g = 14
please someone help me to prove this..
Answer: see proof below
Step-by-step explanation:
Use the following Sum to Product Identities:
[tex]\sin x+\sin y=2\sin \bigg(\dfrac{x+y}{2}\bigg)\cos \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\sin x-\sin y=2\cos \bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x+\cos y=2\cos \bigg(\dfrac{x+y}{2}\bigg)\cos \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x+\cos y=-2\sin \bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)[/tex]
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \dfrac{\sin 5-\sin 15+\sin 25 - \sin 35}{\cos 5-\cos 15- \cos 25 + \cos 35}[/tex]
[tex]\text{Reqroup:}\qquad \qquad \qquad \dfrac{(\sin 25+\sin 5)-(\sin 35 + \sin 15)}{(\cos 35+\cos 5)-(\cos 25 + \cos 15)}[/tex]
[tex]\text{Sum to Product:}\quad \dfrac{2\sin \bigg(\dfrac{25+5}{2}\bigg)\cos \bigg(\dfrac{25-5}{2}\bigg)-2\sin \bigg(\dfrac{35+15}{2}\bigg)\cos \bigg(\dfrac{35-15}{2}\bigg)}{2\cos \bigg(\dfrac{25+15}{2}\bigg)\cos \bigg(\dfrac{25-15}{2}\bigg)-2\cos \bigg(\dfrac{35+5}{2}\bigg)\cos \bigg(\dfrac{35-5}{2}\bigg)}[/tex][tex]\text{Simplify:}\qquad \qquad \dfrac{2\sin 15\cos 10-2\sin 25\cos 10}{2\cos 20\cos 15-2\cos 20\cos 5}[/tex]
[tex]\text{Factor:}\qquad \qquad \dfrac{2\cos 10(\sin 15-\sin 25)}{2\cos 20(\cos 15-\cos 5)}[/tex]
[tex]\text{Sum to Product:}\qquad \dfrac{\cos 10\bigg[2\cos \bigg(\dfrac{15+25}{2}\bigg)\sin \bigg(\dfrac{15-25}{2}\bigg)\bigg]}{\cos 20\bigg[-2\sin \bigg(\dfrac{15+5}{2}\bigg)\sin \bigg(\dfrac{15-5}{2}\bigg)\bigg]}[/tex]
[tex]\text{Simplify:}\qquad \qquad \dfrac{\cos 10[2\cos 20\sin (-5)]}{\cos 20[-2\sin 10\sin 5]}\\\\\\.\qquad \qquad \qquad =\dfrac{-2\cos10 \cos 20 \sin 5}{-2\sin 10 \cos 20 \sin 5}\\\\\\.\qquad \qquad \qquad =\dfrac{\cos 10}{\sin 10}\\\\\\.\qquad \qquad \qquad =\cot 10[/tex]
LHS = RHS: cot 10 = cot 10 [tex]\checkmark[/tex]
Can someone send the golden number ?
Answer:
1.618
Step-by-step explanation:
Also known as the golden ratio.Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.
HOPE THIS HELPED!