Answer:
y=-3x+5
Step-by-step explanation:
y=mx+b
m=slope or gradient (=-3)
y=-3x+b
Add your points
(2, -1)
-1=(-3 x 2)+b
-1= -6+b
-1+6=b
b=5
y=-3x+5
Answer:
[tex]\boxed {\boxed {\sf y= -3x+5}}[/tex]
Step-by-step explanation:
We are asked to find the equation of the line that passes through the point (2, -1) and has a slope of -3.
We are given a point and the slope, so we can use the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
In this formula, m is the slope and (x₁, y₁) is the point the line passes through.
The line has a slope of -3 and passes through (2, -1).
m= -3 x₁= 2 y₁= -1Substitute the values into the formula.
[tex]y--1= -3 (x-2)[/tex]
[tex]y+1= -3 (x-2)[/tex]
Distribute the -3 on the right side. Multiply each term inside the parentheses by -3.
[tex]y+1 = (-3*x) + (-3*-2)[/tex]
[tex]y+1=(-3x) + (6)[/tex]
[tex]y+1=-3x+6[/tex]
Subtract 1 from both sides of the equation to isolate the variable y.
[tex]y+1-1=-3x+6-1[/tex]
[tex]y=-3x +5[/tex]
The equation of the line is y= -3x+5.
the initial number of bacteria in a culture is 12,000. the xulture doubles each day write an exponential functin to model the population Y of bacteria after X days Which will be used to determine how many bacteria are present after 15 days
Answer:
Step-by-step explanation:
The equation would be y=12000(2)ˣ.
This equation is of the form y=a*bˣ, where a is the initial population and b is the rate that it increases by. In this problem, a = 12000 and b=2, since it doubles each time.
brainlest
Identify the solution for the system of equations graphed here.
A) (1,1)
B) (-1,1)
C) (1,-1)
D) (-1, -1)
Answer:
c) (1,-1)
Step-by-step explanation:
I hope this helps
Please help! It's a quiz and I can't check the answer so it needs to be correct!!!
Answer:
the answer is jesus asdlkfjsfs
5. Write the following numbers in order from least to greatest. 1.23; 1.2; 2.31; 3.2
Solve for x using common denominators.[tex]\frac{3}{4(x+2)}=\frac{x}{(x+2)}[/tex]
[A]-\frac{4}{3}[/tex]
[B]\frac{4}{3}[/tex]
[C]-\frac{3}{4}[/tex]
[D]\frac{3}{4}[/tex]
Step-by-step explanation:
3/(4(x+2)) = x/(x+2)
the common denominator would have to be 4(x+2).
to get the right side to this denominator, we have to multiply numerator and denominator (top and bottom) by 4.
and then we get
3/(4(x+2)) = (4x)/(4(x+2))
and now as both sides are "standing" on the same denominator, we can simply compare only the top parts.
3 = 4x
and therefore we can solve
x = 3/4
and D is then the right answer choice.
The Radius of a circle is 5 cm. Find the area of the circle, correct to one decimal place.
Answer:
78.5
Step-by-step explanation:
[tex]r^{2}[/tex]x3.14 (pie)
so then substitute.
5x5=25
25x3.14=78.5
Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110
minutes. If they work together, how quickly could they dig the trench?
A)100 minutes
B)42.6 minutes
C)49.5 minutes
D)155 minutes
Answer:
"minutes" (and any subsequent words) was ignored because we limit queries to 32 words.
Step-by-step explanation:
b. po
If they work together, they need 47 minutes to dig the trench.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110 minutes.
Marty can dig a 10 ft trench in 90 minutes, and in one minute
10 ft = 90
1 ft = 90/10
1ft = 9 minuted
If Chris can dig a 10 ft trench in 110 minutes, and in one minute
10 ft = 100 minute
1 ft = 100/10
1 ft = 10 minute
If they worked together x minute needed to dig 1 ft,
1/x =1/9+1/10
1/x=1/9+1/10
1=19/90 x
90x=19
x=90/19
x=4.7 minute
For 10 feet,
x = 47 minute
Thus, if they work together, they need 47 minutes to dig the trench.
Learn more about the equation here,
https://brainly.com/question/1041325
#SPJ2
I need help plz it’s for school plz plz
Answer:
y = 3x + 1
Step-by-step explanation:
In one day a museum collected $1590 from 321 people. The price of admission is $6 for an adult and $4 for a child. How many adults and how many children were admitted to the museum?
I NEED IN STEP BY STEP SO I CAN UNDERSTAND!!!!
Answer:
153 adults and 168 children
Step-by-step explanation:
x - number of adults
y - number of children
[tex]\left \{ {{6x + 4y = 1590} \atop {x + y = 321}} \right.[/tex]
[tex]\left \{ {{6x+4y = 1590} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{6*(321 - y)+4y = 1590} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{1926 -6y+4y=1590} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{1926 -2y=1590} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{-2y=1590-1926} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{-2y=-336} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{y=168} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{y=168} \atop {x=321-168}} \right.[/tex]
[tex]\left \{ {{y=168} \atop {x=153}} \right.[/tex]
Is it all clear?
How do I know which region to shade for this inequality
y ≤ 2x + -4?
Answer:
You look at the sign between y and 2x
Step-by-step explanation:
To find which way to shade, look at your symbol. The symbol you have is a less than or equal to, you shade to the left. Because it has the line underneath, you have a closed circle. (This is for line plots so I don't know if this completely helps)
Hopefully it does help though!!
Simplify the following expression.
-14 × 3
A.
-42
B.
-56
C.
42
D.
-17
Answer:
The answer would be A. -42
Which graph shows the lowest cost per square foot for a new home?
Answer:
the bottom right
Step-by-step explanation:
The solution to the equation log2x log2(x â€"" 6) = 4 is x =.
The solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24
The logarithmic equation is given as:
[tex]\mathbf{log_2(x-6) = 4}[/tex]
Apply exponential law of logarithm
[tex]\mathbf{(x-6) = 2^4}[/tex]
Remove the brackets
[tex]\mathbf{x-6 = 2^4}[/tex]
Add 6 to both sides
[tex]\mathbf{x-6 +6= 6+ 2^4}[/tex]
Express 2^4 as 16
[tex]\mathbf{x-6 +6= 6+ 16}[/tex]
Add -6 and 6
[tex]\mathbf{x= 6+ 16}[/tex]
Add 6 and 16
[tex]\mathbf{x= 24}[/tex]
Hence, the solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24
Read more about logarithmic equation at:
https://brainly.com/question/3181916
what is the lateral surface area of a right circular cylinder with height 10cm and base area 154cmsquare (use pi = 22/7)
Answer:
Lateral surface area = 154cm²
Step-by-step explanation:
h = 10cm
pi = 22/7
base area = 154cm²
2πrh = 154cm²
2 × 22/7 × r × 10 = 154
440/7 × r = 154
r = 154 ÷ 440/7 = 2.45
r = 2.45
LSA of right circular cylinder = 2πrh
2 × 22/7 × 2.45 × 10
44/7 × 24.5 = 1078/7
1078/7 = 154
Therefore, lateral surface area = 154cm²
Hope it helps:)
Angie and her friends are heading to the Glacier Heights snow park. They plan to purchase the Glacier group package, which costs $76 for 8 people. That's $2 less per person than the normal cost for an individual. What is the normal cost for an individual?
Answer
The normal cost would be $11.50
Number Explanation
1) 76 ÷ 8 = 9.5
2) 9.5 + 2 = 11.5 or 11.50
Word Explanation
First, I divided the total cost 76 by the number of people 8, to find out how much it costs per person. I got 9.5! Next, I added 2 to 9.5 because in the problem it said this is $2 less than the normal cost per person. I got 11.5! That was my answer.
For a school fund raising project, Aiden and Jacob collected money in the ratio 3.5;6.8. Jacob collected $115.50 more than Aiden. Find the total amount of money they collected
Answer:
Step-by-step explanation:
x+6=0
3x-2y = 10
simultaneous equations
Can someone help me please
Answer:
A
Step-by-step explanation:
4×-12
Answer is letter A
hope it help^^
Annie's math test had 25 questions. She got 84% correct. How many problems did she get wrong?
What is the length of side x?
Answer:
21
Step-by-step explanation:
10.5 ÷ 3 = 3.5
3.5 × 6 = 21
Select all of the expressions which are equivalent to-4/3p-2/5
Answer:
-2/5 -4/3 p and -4/3p+ (-2/5)
Jada's grandparents started a savings account for her in 2010. The table shows the
amount in the account each year.
year
amount in dollars
2010
600
2012
750
2014
900
2016
1050
If this relationship is graphed with the year on the horizontal axis and the amount in
dollars on the vertical axis, what is the vertical intercept?
what does n mean in -10(n-5)=40
Answer:
Divide both sides by -10
-10n+2=40
subtract 2 from both sides so
40-2=38
10n/10= 38/10
3.8 = n
Step-by-step explanation:
I have to do the evens- I was out due to epilepsy and have no clue what I'm doing
Worth 50 points
Step-by-step explanation:
I'm assuming your solving for [tex]x[/tex]
Picture 2.
For this one since the two sides are equal
[tex]2x-12=12\\2x=24\\x=12[/tex]
Picture 4.
We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]
[tex]4\cdot4=16\\3\cdot3=9\\16+9=25\\\sqrt{25}=5[/tex]
[tex]x=5[/tex]
Picture 6.
We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]
[tex]6\cdot6=36\\9\cdot9=81\\36+81=117\\[/tex]
[tex]\sqrt{117}=approximately[/tex] [tex]10.81[/tex]
Picture 8.
[tex]EG=6[/tex]
Since half of [tex]EG[/tex] is [tex]3[/tex]
[tex]3\cdot2=6[/tex]
[tex]EG=6[/tex]
Brainliest, please :)
fill in the blanks ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment for question
Answer:
See belowStep-by-step explanation:
If two triangles are congruent, then the corresponding sides and angles are congruent with each other.
Given:
ΔRED ≅ ΔSUNThe following are congruent parts:
∠E ≅ ∠URE ≅ SU∠DRE ≅ ∠NSU∠R ≅ ∠SNote Pay attention to order of vertices when comparing the congruent parts
[tex]\\ \sf\longmapsto <E\cong <U[/tex]
[tex]\\ \sf\longmapsto \overline{RE}=\overline{SU}[/tex]
[tex]\\ \sf\longmapsto ∆DRE=∆SUN[/tex]
[tex]\\ \sf\longmapsto <R\cong <S[/tex]
Hope it helps
What is 3.468 rounded to the nearest tenth of an ounce?
Answer:
3.5
Step-by-step explanation:
The tenths place would be 0.1
So in 3.468 the 4 is in the tenths place
Look at the number to the right of it, if it is greater than 5 you round up and if it is 4 or lower you stay the same.
For 3.468 you would round up
So you would have 3.5
Have A GREAT day man
Sincerly, lipor
Select all the equations that are true when x = 6.
6x = 12
17 – x = 11
x ÷ 2 = 3
19 ÷ 3 = x
5 + x = 11
Answer:
everything but the 4th are true
Step-by-step explanation:
fax
Answer:
B,C,E
Step-by-step explanation:
Tom walks 3.14 km to the park. He then walks a further 670 m to the shop.
How many km has Tom walked in total?
Answer:
3.81 km
Step-by-step explanation:
You first have to get the meters into kilometers. The conversion rate for this is 1 meter = 0.001 kilometer.
So multiply 670 by 0.001 which gives you 0.67.
Then add this to the amount he has already walked to get the total amount of kilometers he has walked.
Answer:
3.81 or
[tex]3 \frac{81}{100} [/tex]
Step-by-step explanation:
explanation above
You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster?
Answer:
your friend is faster.
Step-by-step explanation:
2 km in 12 min means 3 km in 18 min.
you friend jogs those same 3 km in 16.5 min, so he or she is faster.
please help..
Evaluate
10 % of 9900
Answer:
990
Step-by-step explanation:
9900 * 10/100
= 990
Hello there!
First, divide by 100:
99
Now, multiply by 10:
990 is the answer.
Hope it helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]