Answer:
x intercept is 7 y intercept is -3
Step-by-step explanation:
Write equation out and have y=0
[tex] log_{2}(x - 1) - 3 = 0[/tex]
Add 3 to both sides
[tex] log_{2}(x - 1) = 3[/tex]
Using the log to exponet rule
[tex] (log_{b}(x) = y ) \: equal \: b {}^{y} = x[/tex]
Where b and x are real numbers and b cannot equal 1.
Reorder the equation as a exponet
[tex] log_{2}((x + 1) = 3[/tex]
[tex] {2}^{3} = x + 1[/tex]
Simplify
[tex]8 = x + 1[/tex]
Subtract 1 from both sides
[tex]x = 7[/tex]
So the x intercept is 7
To find y intercept plug 0 in as x
[tex] log_{2}(0 + 1) - 3 = y[/tex]
[tex] log_{2}(1) - 3 = y[/tex]
Add 3 to both sides
[tex] log_{2}(1) = y + 3[/tex]
Rewrite in exponet form
[tex] {2}^{y + 3} = 1[/tex]
Using the zero exponet property, anything to the zero power equal 1 so we must find a value that equal out to zero using the exponet so we'll set up the equation
[tex]y + 3 = 0[/tex]
Subtract 3 from both sides and we get
[tex]y = - 3[/tex]
So the x intercept is 7 and the y intercept is -3
Three friends want to take a bus trip to the Grand Canyon. The entire trip costs $1,025 per person, plus $383 per person for the meal plan.
Answer:
4224 dollars
Step-by-step explanation:
1025 times 3 is 3075. 383 times 3 is 1149. 3075+1149 is 4224.
4x+6y=60 y=2 solve for x
Answer:
x=12
Step-by-step explanation:
4x+6y=60 y=2
4x+6(2)=60
4x+12=60
4x=60-12
4x=48
x=[tex]\frac{48}{4}[/tex]
x=12
Answer: X= 12
Y= 2
Step-by-step explanation:
Greg invested $6000 in a bond with a yearly interest of 4%. His total interest on his investment was $1200. What was the length of the investment
Answer:
5 years
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
t = 1200 / ( 6000 × 0.04 ) = 5
t = 5 years
The time required to
accumulate simple interest of $ 1,200.00
from a principal of $ 6,000.00
at an interest rate of 4% per year
is 5 years.
What is the relationship between the angle of depression of a person looking down from the top of a hill at their friend standing on the ground and the angle of elevation of the person on the ground looking up at their friend who is standing on top of the hill?
a. the angle of elevation will be greater than the angle of depression because the person has to look up from the ground to see their friend at the top of the hill
b. The angle of depression and angle of elevation will add to 180°
c. The angle of depression and angle of elevation will be the same
d.The angle of depression would be greater than the angle of elevation because the hill is higher than the ground
Answer:
C) angle of depression and angle of elevation will be the same.
this is because the horizontal for angle of elevation and angle of depression are parallel
therefore, the two angles are same (alternate angles)
hope it helps.
pls mark brainliest !!!
The correct answer is (c) The angle of depression and angle of elevation will be the same.
What is an angle of depression?When a person is standing on top of a hill and looking down at their friend standing on the ground, the angle formed between the line of sight and a horizontal line is called the angle of depression.
Similarly, when a person on the ground is looking up at their friend who is standing on top of the hill, the angle formed between the line of sight and a horizontal line is called the angle of elevation.
Since the two angles are formed by the same two points and are measured with respect to the same horizontal line, they will be congruent or the same. Therefore, option (c) is correct.
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help i have this question and i’m not sure what the answer would be
Answer:
2 10 or 100 2
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
Once again, I’m wasting points to dazzle you all with my hand drawn cardboard cutouts of hanako and tsukasa. If you don’t know who they are then just admire the art and pretend I’m picasso. Bring up the mistakes and I’ll laugh along and criticize my art with you
Answer:
Cool art
Step-by-step explanation:
Answer:
sick bro, that's cool.
Step-by-step explanation:
do you read the manga, if you do then, broo the lastest chapter was
nice
Peter and Myra are on their school's activity planning committee. They are polling each
homeroom class to find how many students are in after-school clubs. In Peter's class, 9 out of
the 20 students are in clubs. In Myra's class, 12 out of the 24 students are in clubs. Do the
two classes have the same ratio of students in clubs to total students?
yes
No
Answer: No
Step-by-step explanation: because 12 out of 24 is 1/2 while 9/20 is a bit off of one half therefore no
pleaseee help me asap
1.What is the unit rate of the graph?
2.What is the slope of the graph?
Compare your answers to #1 and #2
Answer:
The unit rate[tex]\frac{4}{1}[/tex] of the graph is 4, the slope of the graph is 4, and the comparison between answers is that they are equal.
Step-by-step explanation:
For every increase of 1 in the X value of the graph, the Y value increases by 4, so the slope would be [tex]\frac{4}{1}[/tex] or 4.
Michael is going to invest in an account paying an interest rate of 5.8% compounded
monthly. How much would Michael need to invest, to the nearest dollar, for the value
of the account to reach $260 in 12 years?
Answer:
P=130
Step-by-step explanation:
help!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
it is how many more
A CIRCLE HAS A CIRCUMFENCE 43.96 YD FIND THE RADUIS OF THE CIRCLE
Answer:
≈ 7
Step-by-step explanation:
PLEASE HELP! ANSWER FOR 20 POINTS PLS PLS
Answer:
5³ = 125
Step-by-step explanation:
5³ = 5 × 5 × 5 = 25 × 5 = 125
Answer:
5³ = 15 because the ³ mean 3 left over 5's like if i had 2² the ² = 2 so 2²=4
5+5+5=15
Answer : 15
Linear Equations & Linear Systems:Question 5
What is the solution to the following system of equations?
Somebody pls help me
Albert mixes 10 grams of 15% sugar syrup and 25 grams of 10% sugar syrup. C What is the concentration of sugar in the mixture? D If Albert adds x grams of pure sugar to his mixture, how many grams of sugar will the mixture contain now? E After Albert adds the x grams of sugar, how many grams of mixture does Albert have? F Suppose we know that after he adds the x grams of sugar, Albert's mixture is 25% sugar syrup. Write an equation. G Solve the equation from part (f) to find how many grams of pure sugar Albert needs to add to achieve 25% concentration. A How many grams of sugar does the mixture contain? B How many grams of mixture does Albert have now?
Answer: 14a is 4 grams 14 b is 35 grams
Step-by-step explanation:
En la tabla 1.8 se presentan los puntos de ebullición aproximados de algunos elementos de la tabla periodica flúor -180 hidrogeno -253 argón -186 helio -269 nitrógeno -196 neón -246 ¿Cuál es el elemento químico con el mayor punto de ebullición?¿ y con el menor?
Answer:
Lowest boiling point = helium.
Highest boiling point = fluorine
Step-by-step explanation:
Given :
fluorine -180
hydrogen -253
argon -186
helium -269
nitrogen -196
neon -246
Arranging the boxing points of each chemical element on a number line, the least which will be located to the leftmost part is Helium with a boiling point of - 269 ; while the highest will be fluorine which is - 186°C
COMBINATION
Solve each problem using the appropriate permutation formula.
1.In how many ways can 3 boys and 6 girls sit in a row of 4 chairs?
2.In how many ways can 8 cars line up a car?
3.In how many ways can a group of 8 friends sit around a circular table?
plss help
Answer:
1) 3024 ways
2) 40320 ways
3) 5040 ways
Step-by-step explanation:
1) there are 3 boys and 6 girls. Thus, total number = 9 people.
There are four rows of chairs.
Thus, number of ways of being sitted is;
9P4 = 9!/(9 - 4)! = 3024 ways
2) number of ways = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 ways
3) since circular arrangement, then number of ways is; (n - 1)!
Thus,answer is; (8 - 1)! = 5040 ways
Find the value of k, represented as a decimal rounded to the nearest tenth.
5/7 = 12/k
Answer:
We conclude that the value of k represented as a decimal rounded to the nearest tenth is: [tex]k = 16.8[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{5}{7}=\frac{12}{k}[/tex]
We need to determine the value of k, represented as a decimal rounded to the nearest tenth.
Let us solve the expression
[tex]\frac{5}{7}=\frac{12}{k}[/tex]
Apply cross-function multiply: if [tex]\frac{a}{b}=\frac{c}{d}[/tex] then [tex]a\cdot \:d=b\cdot \:c[/tex]
[tex]5k=7\cdot \:12[/tex]
[tex]5k=84[/tex] ∵ 7 · 12= 84
Divide both sides by 5
[tex]\frac{5k}{5}=\frac{84}{5}[/tex]
Simplify
[tex]k=\frac{84}{5}[/tex]
[tex]k = 16.8[/tex] (Rounded to the nearest 0.1 or the Tenths Place)
Therefore, we conclude that the value of k represented as a decimal rounded to the nearest tenth is: [tex]k = 16.8[/tex]
Simplify the following
(c) 2(а - 3) - 5[a - 2(a - 4)
Step-by-step explanation:
Let's simplify step-by-step.
2(a−3)−5a−2(a−4)
Distribute:
=(2)(a)+(2)(−3)+−5a+(−2)(a)+(−2)(−4)
=2a+−6+−5a+−2a+8
Combine Like Terms:
=2a+−6+−5a+−2a+8
=(2a+−5a+−2a)+(−6+8)
=−5a+2
GameStop is going out of business and everything is 60% off. What is
the new price of a game that regularly costs $58.99?
Answer:
With original price $58.99 and 60% off,
Final price: $23.60
Saved amount: $35.39
Step-by-step explanation:
The express elevator in the Empire State Building in New York City travels nonstop from
the ground floor to the top floor at a rate of 1,400 feet per minute.
The express elevator in the John Hancock Center in Chicago travels nonstop from the
ground floor to the observatory on the top floor at a rate represented by the equation
y = 30x, where y is the height, in feet, and is the number of seconds
Graph the two relationships on the grid below to compare the rates of the
two elevators,
ELEVATOR RATES
I
Height (feet)
1,000
900
800
700
600
500
400
300
200
100
0
10
40
50
20 30
Time (seconds)
Which elevator travels at a faster rate?
Using the information from the graph, explain how you got your answer.
The elevator of John Hancock Center in Chicago travels at a faster rate.
The standard equation of a line is y = m + bm is the slope or rate of changeb is the y-intercept.For the equation represented by the height of the elevator of John Hancock Center in Chicago given as y = 30x, the rate of change is 30 ft/s which is equivalent to 1800 per minute.
Since the express elevator in the Empire State Building in New York City travels nonstop from the ground floor to the top floor at a rate of 1,400 feet per minute, hence the elevator of John Hancock Center in Chicago travels at a faster rate.
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can you guys help me again lol-
Answer:
$93 per hour ?
125-405 = 280
280÷3= 93 per hour
ayuda porfavor!!!!
se lleva 22 puntos el que me responda bien
Answer:
i think is AAAAAAAAAAAAA
Step-by-step explanation:
Answer:
A) x=5 El signo es dividido
B) x=7
What is the slope of the line shown?
A. slope = 3
B. slope = 1/2
C. slope = 2
D. slope = -3
Answer:
The answer is B - 1/2.
Step-by-step explanation:
Rise over run tells you the slope. You take two points (in this it's (0,-3) and (6,0)) and you see how many units it takes to be on the same y line as the other point. Then you do the same for the x line. You divide the rise (y line) by the run (x line) and that's your slope.
A gas stove that normally sells for $749 is on sale at a 30% discount. What is the sale price of the gas stove?
A. 224.70 (wrong)
B. 524.30
C. 719
Answer:
Step-by-step explanation:
B. 749x .30= 224.70. 749-224.70=524.30
Harry and his family travel 204 miles in 3.4 hours. If they continue at this constant speed, how long will it take them to travel 420 miles?
Answe
7
Step-by-step explanation:
204 dived by 3.5
i did 204 dived by 60 then
420 dived by 60
The time taken by the family to reach is T = 7 hours
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed be represented as S
Now , the value of S is
S = D / T
speed = distance / time = 204 miles / 3.4 hours = 60 miles per hour
where , the distance D = 420 miles
And , T = 420 / 60
T = 7 hours
Hence , the time taken for 420 miles is 7 hours
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I need help
I need u to answer this question. what's 2+2????
Answer:
2+2=4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
it's 4 lol, open 2 fingers and open another 2 fingers then count them
#1: Which of the following represent an arithmetic sequence?
3, 7, 11, 15, 19, ...
3, 6, 12, 24, 48, ...
-10,-8, -6, -4,-2,0, 2, 4, ...
-1, 5, 11, 17, 23, 29, ...
1, 4, 9, 16, 25, 36, ...
1, 1, 2, 3, 5, 8, 13, 21, ...
1,5, 25, 125, ...
13, 33, 53, 73, 93,
Answer:
3, 7, 11, 15, 19 is an arithmetic sequence
Step-by-step explanation:
they go up by 4
Which shows the numbers ordered from least to greatest? 9.129, 9.37, 9.3, 9.219
Answer:
9.129 then , 9.219 then , 9.3 then , 9.37
Step-by-step explanation:
Which equations are correct?
Select each correct answer.
−4b3(5b2+3)=−20b6−12b3
−6y4(4y2+2)=−24y8−12y4
−5a4(2a2+4)=−10a6−20a4
−4x2(2x2+5)=−8x4−20x2
Can someone help me with this problem? 3[x(-6)]
Answer:
-18x
Step-by-step explanation:
First step: remove the parentheses.
So, you'll have -3x*6.
multiply the numbers (3 x 6 = 18)
and you'll get -18x.
hope this helps!
