Answer:
The equation of the line in point-slope will be:
[tex]y\:=\:\frac{1}{6}x-\frac{5}{3}[/tex]
Step-by-step explanation:
Given the points
(4, -1)(10, 0)Finding the slope between (4, -1) and (10, 0)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(4,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:0\right)[/tex]
[tex]m=\frac{0-\left(-1\right)}{10-4}[/tex]
[tex]m=\frac{1}{6}[/tex]
We know that the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Using the slope-intercept form to find the y-intercept 'b'
[tex]y = mx+b[/tex]
substituting m = 1/6 and the point (4, -1)
[tex]-1\:=\:\frac{1}{6}\left(4\right)+b[/tex]
[tex]\frac{2}{3}+b=-1[/tex]
subtract 2/3 from both sides
[tex]\frac{2}{3}+b-\frac{2}{3}=-1-\frac{2}{3}[/tex]
[tex]b=-\frac{5}{3}[/tex]
now substituting b = -5/3 and m = 1/6 in the slope-intercept form
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{1}{6}x+\left(-\frac{5}{3}\right)[/tex]
[tex]y\:=\:\frac{1}{6}x-\frac{5}{3}[/tex]
Therefore, the equation of the line in point-slope will be:
[tex]y\:=\:\frac{1}{6}x-\frac{5}{3}[/tex]
с
6 yd
8 yd
What is the length of the hypotenuse?
C =
yards
Answer:
10 yds
Step-by-step explanation:
Pythagorean Theorem is [tex]A^{2} +B^{2} =C^{2}[/tex]
So, [tex]6^{2} +8^{2} =C^{2}[/tex]
[tex]36+64=C^{2}[/tex]
[tex]100=C^{2}[/tex]
C=10
The total cost for a dinner reception, , is a function of the number of people, , attending the event. The equation, , can be used to represent this situation. The catering company requires a minimum of 20 guests. Which inequalities represent the domain & range of this problem?
Answer:
1,800= 45 x ( x is the amount of weeks)
Step-by-step explanation:
What is the y-intercept of the functiion f(x)=-2/9x+1/3 O-2/9 O-1/3 O1/3 O2/9
Please see the image attached for the solution.
Choose the answer that shows exponential decay?*
A) y=1/3•2^x
B) y=4•(1/2)^x
C) y=4•2^x
D) y=1/2•2^x
The scale of a map is 1 inch: 3 miles. Red Oak is 15 miles from Marsh City. What would its distance be on the map? PLEASE ANSWER ASAP!!!
Answer:
5 inches
Step-by-step explanation:
[tex]\frac{1}{3} =\frac{x}{15}\\3x=15\\x=5[/tex]
Perry connects a blue garden hose and a green garden hose to make one long hose. The blue hose is 10.5 feet. The green hose is 11.75 feet. How long is the combined hose? The combined hose is feet long.
Answer:
22.25 ft long
if you add 10.5 with 11.75 you'll get 22.25
A tour bus holds 40 people. It charges $7 per ticket. The function representing the total sales is f(x) = 7x, where x represents the number of tickets sold. What is the domain?
A) x = all real numbers
B) x = all non-negative integers 280 or belowx = all non-negative integers 40 or below
C) x < = 40
D)x = all non-negative integers 40 or below
Answer: The answer is D
Step-by-step explanation: Is can't be anything negative because you cant have negative people and the bus can hold 40 people. It can be > or equal to 40.
plz help me The temperature at noon was 22°. From 6 AM until noon, the temperature changed by an average of 5° per hour. What WAS the temperature at 6 AM?
Answer:
-8° OR 52°
Step-by-step explanation:
Remember 22.
Now, you'll need to take 12 PM and see how many hours it is from 6 AM to 12 PM noon: 6-7, 7-8, 8-9, 9-10, 10-11, 11-12. We have 6 hours from 6 AM to 12 PM.
The problem gives us the average number of degrees it changed: 5. Since it doesn't specify HOW it changed, there are 2 answers.
In order to find the number of degrees it changed, we have to take the hours times the amount given, or in this case, 6 x 5 which equals 30.
Now that we know the fluxation number, we can either add or subtract 30 from the degrees given at noon.
So, 22 - 30 = -8 AND 22 + 30 = 50.
I hope that helps! :)
work out 140-3^2×(8+4)+6÷2
Answer:
140 - 9 (12) + 3
140 - 108 +3
140 - 111
= 29
A family is driving 550 miles to their grandmother's house. They have already driven 350 miles. Which equation shows the rate r, in miles per hour the family must drive to reach their grandmother's house in 4 hours
Answer:
50 mph
Step-by-step explanation:
drive to reach their grandmother's house in 4 hours
Given that:
Miles driven = 550 miles
Miles already driven = 350 miles
Miles left to drive = (550 - 350) miles = 200 miles
To reach destination in 4 hours
Speed in miles per hour will be :
Distance / time
= 200 miles / 4 hours
= 50 miles / hour
Answer:
50 mph
Step-by-step explanation:
julieta rocio a nieva
can anyone answer this with expanation?
18. ∆PQR =~ ∆RPA ( by SAS )
19. ∆DQR =~ ∆PQR ( by AAS )
20. ∆ARO =~ ∆PQO ( by AAS )
The table below shows the amount paid for different numbers of items.
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 5. The second column is labeled y with entries 0.50, 1.00, 1.50, 2.50.
Determine if this relationship forms a direct variation. Verify your answer.
Answer:
Yes, it is a direct variation. If the ordered pairs form a direct variation, the rate of change is constant and the ratio of y over x is constant. The rate of change, or constant of variation, is 0.5.
Step-by-step explanation:
That's the sample, I put:
Yes, a direct variation is when the ratio of y/x is constant and the rate of change is constant. In this example, the rate of change is seen as .50.
Answer:
a reference to the rate of change
a reference to the ratio of y over x
the constant of variation as 0.5
Step-by-step explanation:
Find the sum of the interior angle measures of the polygon.
explain pls
Answer:
The sum of the interior angles would be 360 because every quadrilateral has the interior angles equaling 360
Step-by-step explanation:
A scenic overlook which extends over a ravin is shaped like a kite. I’m slow help
Answer:
B
Step-by-step explanation:
Which states the main argument of the essay?
A. the first sentence
B. the second sentence
C. the third sentence
D. the fourth sentence
Answer:
d
Step-by-step explanation:
that's the argument that they are making
Answer:
b
Step-by-step explanation:
Jasmine bought 32 kiwi fruit for $16. How many kiwi can Lisa buy if she only has $4?
Answer:
two kiwis
Step-by-step explanation:
32 divided by 16 is 2 and if she only has $4 then she can only buy 2 kiwis.
1) 35 is what percent of 140 2) 250 is 45% of what number? 3) 74 is what percent of 740? 4) 350 is 50% of what number?
Answer:
1) 25%
2) 555.56
3) 10%
4) 700
Step-by-step explanation:
1) 35 is what percent of 140
This is calculated as:
35/140 × 100
= 25%
2) 250 is 45% of what number?
Let the number be represented as x
This is calculated as:
45% of x = 250
45/100 × x = 250
45x /100 = 250
Cross Multiply
45x = 250 × 100
x = 25000/45
x = 555.55555556
x = 555.56
3) 74 is what percent of 740?
Let the percentage be represented by x
x% × 740 = 74
Divide both side by 740
x% = 74/740
x% = 0.1
Converting to percentage
0.1 × 100 = 10%
4) 350 is 50% of what number?
Let the number the represented by x
This is calculated as:
50% of x = 350
50/100 × x = 350
50x /100 = 350
Cross Multiply
50x = 350 × 100
x = 35000/50
x = 700
x = 555.56
Using the equation y = 2x + 5, what would the input need to be for an output of -15?
Answer:
x = -10
Step-by-step explanation:
y = 2x + 5
-15 = 2x + 5
-20 = 2x
-10 = x
Answer:
-10
Step-by-step explanation:
y = -10
In the expression 50+4x the number (4) in front of the variable (x) represents the rate of change true or false
If 1/8 = 1ft and the wall is 56 ft wide how long would the wall be in inches?
Answer:
7
Step-by-step explanation:
In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle QRS = (4x-15)^{\circ}m∠QRS=(4x−15) ∘ , \text{m}\angle RPQ = (x+1)^{\circ}m∠RPQ=(x+1) ∘ , and \text{m}\angle PQR = (x-2)^{\circ}m∠PQR=(x−2) ∘ . Find \text{m}\angle RPQ.m∠RPQ.
Answer:
Step-by-step explanation:
Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.
From the hypothesis, we have:
m∠QRS =(10x−12)∘(10x−12)
m∠PQR = (3x+20)∘(3x+20)
m∠RPQ=(3x−8)∘(3x−8)
Using the first equation and replacing the hypothesis:
m∠QRS = m∠PQR + m∠RPQ
(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)
Multiplying and applying the remarkable identity:
Then, we use a calculator to find the roots, which are:
In this case, we will see what root is the right one.
Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.
m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
if you are doing deltamath
Choose the equation that represents the line passing through the point (−2, −3) with a slope of −6.
y = −6x − 15
y = −6x − 20
y = −6x + 15
y = −6x + 20
Solve the system by substitution y=6x and 7x-8y=-41
Answer:
Y=6 and x=1
Step-by-step explanation:
y=6x
∴y-6x=0
and 7x-8y=-41
Suppose,
-6x+y=0→(1)
and 7x-8y=-41→(2)
Taking equation (1), we have
-6x+y=0
⇒y=6x→(3)
Putting y=6x in equation (2), we get
7x-8y=-41
7x-8(6x)=-41
⇒7x-48x=-41
⇒-41x=-41
⇒x=1→(4)
Now, Putting x=1 in equation (3), we get
y=6x
⇒y=6(1)
⇒y=6
∴y=6 and x=1
Joey has won 3 out of the last 8 games of cards he has played with his brother. They play 16 more games, how many of those games does Joey expect to win?
Answer:
6 games
Step-by-step explanation:
Joey has won 3 out of the last 8 games of cards he has played with his brother. They play 16 more games, how many of those games does Joey expect to win?
8 games = 3 won
16 games = x
Cross Multiply
8x = 16 × 3
8x = 48
x = 48/8
x = 6
If they play 16 more games, Joey expects to win 6 games
Answer:
6 games
Step-by-step explanation:
2 x 8 = 16 so, if he won 3 out of 8 he will expect to win another 3 games.
480 into ratio 1:3:4
Step-by-step explanation:
60: 180: 240
hope it helps!
20POINTS Which exponential functions have been simplified correctly? Check all that apply. f (x) = 5 RootIndex 3 StartRoot 16 Endroot Superscript x Baseline = 5 (2 RootIndex 3 StartRoot 2 EndRoot) Superscript x f (x) = 2.3 (8) Superscript one-half x Baseline = 2.3 (4) Superscript x f (x) = 81 Superscript StartFraction x Over 4 EndFraction Baseline = 3 Superscript x f (x) = three-fourths StartRoot 27 EndRoot Superscript x Baseline = three-fourths (3 StartRoot 3 EndRoot) Superscript x f (x) = (24) Superscript one-third x Baseline = 2 (RootIndex 3 StartRoot 3 EndRoot) Superscript x
Answer:
Options A C D
Step-by-step explanation:
doing the edge 2020 assignment right now
The correct answer are option (A) , (B), (C) and (D)
[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]
[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]
[tex]f(x) = 81^\frac{x}{4}[/tex]
[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
For example 4/2 = 2
Given exponential functions :
[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]
[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]
[tex]f(x) = 81^\frac{x}{4}[/tex]
[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]
[tex]f(x) = (24)^\frac{1}{3}^x[/tex]
Simplification of the given exponential functions :
[tex]f(x) = 5(\sqrt[3]{16} )^x = 5(\sqrt[3]{2^3\times2} )^x = 5(2\sqrt[3]{2} )^x[/tex]
[tex]f(x) = 2.3(8)^\frac{1}{2} = 2.3(2^3)^\frac{1}{2}^x = 2.3.2(2)^\frac{1}{2}^x = 24.(2)^\frac{1}{2}^x[/tex]
[tex]f(x) = 81^\frac{x}{4} = f(x) = (3^4)^\frac{x}{4} = 3^x[/tex]
[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x = \dfrac{3}{4} (\sqrt{3^3} )^x = \dfrac{3}{4} 3^x[/tex]
[tex]f(x) = (24)^\frac{1}{3}^x = 2(2)^\frac{1}{3}^x[/tex]
Hence, the correct answer are option (A) , (B), (C) and (D)
[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]
[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]
[tex]f(x) = 81^\frac{x}{4}[/tex]
[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ5
What are the coordinates of the point on the directed line segment from (−4,−10) to (10, -2) that partitions the segment into a ratio of 3 to 1?
Answer:
the ansmer : (-17/2 , 1)
please say the answer of this
3√5+√5
4√5
According to Brainly I need to have at least 20 characters before being able to 'Add My Answer'.
question;
3√5+√5
answer:
Decimal Form:
8.94427191
Simplify: 8p²q²r² - 7p²q²r² + q²r²
Answer:
8p²q²r² - 7p²q²r² + q²r²
Step-by-step explanation:
solve by completing the square t² - 6t = 7
Answer:
t = 7 or t = -1
Step-by-step explanation:
You can use a calculator or:
t² - 6t = 7
-> t² - 6t -7 = 0
-> t² - 7t + t - 7 = 0
-> t(t-7) + (t-7) = 0
-> (t-7) . (t+1) = 0
-> t = 7 or t = -1
Answer:
T = 7
Step-by-step explanation:
How you find T is by multiplying different numbers and squaring them by subtracting until you get to the number that equals to 7