Solve the following system of equations:
x + 3y = −4
x + 5y = −6
pls and thx
Answer:
x = -1 y = -1
Step-by-step explanation:
x + 3y = −4
x + 5y = −6
Multiply the first equation by -1
-x - 3y = 4
The add to the second equation to eliminate x
-x - 3y = 4
x + 5y = −6
--------------------
2y = -2
Divide by 2
2y/2 = -2/2
y = -1
Now solve for x
x+3y = -4
x +3(-1) = -4
x -3 = -4
Add 3 to each side
x-3+3 = -4+3
x = -1
Answer:
work is pictured and shown
Sara's little brother is getting ready to color a picture of a rainbow that Sara drew for him. To make the task easier for her brother, Sara picks out
7 different colored crayons that match the colors of the rainbow and places them in a box. She asks her brother to randomly pick two crayons
from the box, one after the other.
The probability that the first color is violet and the second is orange, If the first crayon is replaced, is
The probability that the first color is violet and the second is orange, If the first crayon is not replaced, is
Answer:
1/14 or 7%.
Step-by-step explanation:
violet crayon probability: 1/7
Orange probability: 1/7
Violet, then orange probability: 1/14
1/14 = about 7%
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary round your results to the nearest hundredth 180
Answer:
Option A. (-1, 0)
Step-by-step explanation:
In the figure attached,
Circle O is a unit circle (having radius r = 1 unit)
If a point A with central angles = θ, is lying on the circle then the coordinates of the point A will be,
x = r.cosθ
x = 1.cosθ = cosθ
and y = r.sinθ
y = 1.sinθ = sinθ
Therefore, coordinates representing the point A will be (cosθ, sinθ).
As per question the given point A is lying at P (a point having central angle θ = 180°)
Coordinates of point P will be
(x', y') → (cos180°, sin180°)
→ (-1, 0)
Therefore, Option A will be the answer.
Please help!
The formula d= sqrt 1.5h gives the distance (d) in miles you can see to the horizon from a height of h feet above the earth. To the nearest mile, how many miles can you see to the horizon from the top of the Empire State Building at 1250 feet?
Answer:
d (miles) = (sqrt 1.5) * height (feet)
d (miles) = 1.2247448714 * 1,250
d (miles) = 1,530.93 miles
Step-by-step explanation:
Please help in simplify these expressions
Answer:
1. 2y^2 x 3y
6y^2 x y
6y^3
2. (7x^5) (2x^2)
14x^7
Step-by-step explanation:
Answer:
[tex]2y^2 \cdot 3y\\6y^3[/tex]
[tex](7x^5)(2x^2)\\14x^7[/tex]
Which system of inequalities has a line as a solution?
2x + 4y23
2x+4y S3
2x + 4y 23
2x + 4y > 3
2x + 4y > 3
2x + 4y <3
DONE
Answer:
Yeah it's A, on my mama
2x + 4y >_ 3
2x+4y<_3
Answer:
First option ( Did it on edge
Step-by-step explanation:
When solving 2(x + 5) = −8, the property used in the first step is the ___________. answers: distributive property substitution property addition property transitive property
Answer:
Distributive property.
Step-by-step explanation:
The 2 is being distributed to the x and 5
It's the first step due to PEMDAS (Parenthesis first)
Will mark brainliest for whoever answers
Answer:
x=1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
2-x = 3-(7-3x)^0.5
-1-x = -(7-3x)^0.5
1+x = (7-3x)^0.5 // ()^2
(1+x)^2 = 7-3x
1+2x+x^2 = 7-3x
x^2+5x-6= 0
(x+6)(x-1) =0
x= 1,6
but you need to see if the solution solve it cause when you ()^2 the sequence you might add up another solution that isn't true. so if you'll see 6 doesn't solve it (try it) so the answer is 1
Which of the following statements is true about the function presented in the table?
a. The slope of the function is 4 and the y-intercept is 2.
b. The slope of the function is 4 and the y-intercept is -2.
c. The slope of the function is -2 and the y-intercept is 4.
d. The slope of the function is 2 and the y-intercept is 4.
Answer:
C. The slope of the function is -2 and the y-intercept is 4.
Explanation:
The y-intercept is the point when x = 0. On the table when x is 0, y is 4.
The slope of the function is -2 because the y value is going down by 2 for each +1 of x.
x │ y
-2 │ 8
0 │ 4
↓ +1 ↓ -2
1 │ 2
↓ +1 ↓ -2
2 │ 0
f(x) = 3x + 2 and g(x) = x + 5
g[f(x)] =
A. 3x + 7
B. 3x + 17
C. 4x + 7
Answer:
A
Step-by-step explanation:
g[f(x)]=g(3x+2)=3x+2+5=3x+7
The function defined by g[f(x)] is equal to 3x+7. hence the correct option is A.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
We have been given the function as
f(x) = 3x + 2 and g(x) = x + 5
We need to find the function defined by g[f(x)]
g[f(x)] = g(3x+2)
g[f(x)] =3x+2+5
g[f(x)] = 3x+7
Therefore, the function defined by g[f(x)] is equal to 3x+7. hence the correct option is A.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
About 150,000 people live in a 8-mile radius of a city's town hall. Find the population density in people per square mile. Round your answer to the nearest whole number.
Answer:
747 people per square mile
Step-by-step explanation:
population of city's town hall = 150,000
Radius of city's town hall = 8 mile
area of any circular shape is given by [tex]\pi r^2[/tex].
r is the radius of circle.
p
Area of city's town hall = [tex]\pi r^2= 3.12*8^2 = 3.14*64 = 200.96[/tex]
Population density for any place is ratio of population of that place to area of that place
Thus
Population density for city's town hall = population of city's town hall /Area of city's town hall
Population density for city's town hall = 150,000/200.96
Population density for city's town hall= 746.42 people per square mile.
Population density for city's town hall Rounded to the nearest whole number is 747 people per square mile.
How would you graph y = -3x + 4? (With visual, please; will give brainliest!)
Answer:
Step-by-step explanation:
1. Start with the y-intercept, (0,4), plot it on the y-axis.
2. Then using the slope you can find more points on the graph.
- Start with simple x coordinates such as 1,2,3...
- plug each into the equation to find the y cooridnate that makes the x coordinate true.
- write each as a coordinate pair and then plot each pair on the graph.
( you may want to use some negative values for x in order to have ease graphing)
- once you have as many points as you desire, must have atleast 2, draw a line connecting each point.
freds dog crate is 42 inches long, 24 inches wide, and has a height of 30 inches. what is the volume of the crate?
Answer:
20 icnhes
Step-by-step explanation:
not rlly
Verify the identity and explain how cot(x- pi/2)= -tan x
Answer:
First, let's recall some usefull information:
- cot(x) = 1/tg(x) = cos(x)/sin(x)
- tan(x) = sin(x)/cos(x)
We also know that:
- cos(x - pi/2) = sin(x)
- sin(x - pi/2) = -cos(x)
Now we can use those relationships and get:
cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)
So we have verified the identity, and explained step by step why the identity is true.
HELP 50 POINTS FOR ANSWERING
Answer:
see below
Step-by-step explanation:
P( math or english) = number of math or english / total
This would include the people that studied both (20+11+39)
= 70/100
P( math and english) = number of math and english / total
This is the people that studied both
= 11/100
P( math or english but not both) = number of math or english / total
This includes only the people that study one or the other but not both (20+39)
= 59/100
Answer:
[tex]\boxed{\sf {view \: explanation}}[/tex]
Step-by-step explanation:
[tex]\sf a) \ \frac{maths+english }{total}[/tex]
[tex]\sf \frac{20+11+39}{100} =\frac{70}{100}[/tex]
[tex]\sf b) \ \frac{intersection \ of \ math \ and \ english }{total}[/tex]
[tex]\sf \frac{11}{100}[/tex]
[tex]\sf b) \ \frac{excluding \ intersection \ of \ math \ and \ english }{total}[/tex]
[tex]\sf \frac{20+39}{100} =\frac{59}{100}[/tex]
What is the slope-intercept equation of the line below?
Check all of the ordered pairs that satisfy the equation below.
y= 7x
Answer:
Step-by-step explanation:
im pretty sure its A, B, D
Hope this helps!
-Delilah
Do the following points belong to the graph of the function f(x)=13−5x ? (-2,23)
Answer:
Yes!
Step-by-step explanation:
When we have problems like this we just plug them in. We take the -2 and we multiply it by the -5 to get a positive 10. We then add that to the +13 and it equals 23, so it works!
Put the following numbers in order from smallest to largest, with the smallest value at the top of the list.
0.085
1/3
60%
2/5
3/4
1.05
78%
Answer:
The right order is:
0.0851/32/560%3/478%1.05Step-by-step explanation:
To identify the right order of the numbers given in order from the smallest to largest, you first must convert all the numbers to the same mode (fractions, decimals or percentages), in this case, I will transform all the numbers to decimals, for this you must divide the fractions or operate the percentages, and you will obtain:
0.085 = 0.085 1/3 = 0.33333333333 60% = 0.6 2/5 = 0.4 3/4 = 0.75 1.05 = 1.05 78% = 0.78How you can see, in this form is easier than the original form, now you can identify that 2/5 (0.4) is smaller than 60% (0.6) and 1.05 is bigger than 78% (0.78).
Answer:The right order is:
0.085
1/3
2/5
60%
3/4
78%
1.05
Step-by-step explanation:
CAN SOMEONE help me with my homework, is there an association between extra practice time and being a starting player explain
Please help me answer this question
Answer:c
Step-by-step explanation:
4/3 times pi times 7 cubed
Jerry borrowed $8,000 for 5 years at 6.5% simple interest rate. How much interest is that?
The answer is $2600
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
$ 2600Step-by-step explanation:
[tex]p = 8000 \\ r = 6.5\% \\ t = 5 \: \: years[/tex]
[tex] \frac{prt}{100} \\ = \frac{8000 \times 6.5 \times 5}{100} \\ = 2600[/tex]
The radius of a circle is 10 ft. Find its area in terms of pi
Answer:
314.16ft²
Step-by-step explanation:
A = πr² = π · 10² ≈ 314.15927ft²
Answer:
100π ft²
Step-by-step explanation:
r= 10 ft
A= πr²= π*10²= 100π ft²
Evaluate the expression 3.5x when x is 2.
Answer:
X= 7
Step-by-step explanation:
Since x= 2 you would plug it in 3.5 times 2 = 7
Answer:
7
Step-by-step explanation:
find the median if this set of numbers: 7, 6, 19, 12, 16, 19, 19, 6
Answer:
20
Step-by-step explanation:
Order the numbers from smallest to largest, then cross one number off until you have one or two numbers left.
If there is an EVEN number of numbers(like this one): there will be two numbers left, therefore you add those two numbers together, then divide by two.
If there is an ODD number of numbers: there will be one number left, therefore that is your answer!
Hope this helps!
-PusheenDaCat1017
A high school basketball team won exactly 85% of the games they played the last season. Which of the following could be the total number of games the team played last season
Answer:
sorry just saw the choices now. Okay here is the answer.
b=40
Step-by-step explanation:the answer is 40 because if u do .85*40 that gives u 34 the rest of them will just give you a decimal number and u can't have that for the amount of games. Hope it helps.
Which describes renting?
a) a refundable amount paid in advance to protect the owner from damage or nonpayment
b) using a person’s property for a fee
c) a service such as electricity
d) a written agreement that allows a tenant to use a property for a set period of time
Answer:
d) a written agreement that allows a tenant to use a property for a set period of time.
divide x^3/4 over x^1/6
Answer:
A
Step-by-step explanation:
[tex]\frac{x^{\frac{3}{4} } }{x^{\frac{1}{6} } } = x^{\frac{3}{4} - \frac{1}{6} \\[/tex]
[tex]\frac{3}{4} - \frac{1}{6} = \frac{(3 * 6) - (4 * 1)}{(4 * 6)}[/tex]
[tex]\frac{18 - 4}{24} = \frac{14}{24} = \frac{7}{12}[/tex]
PLEASEEE HELPP!! Work must be shown for this problem! The figure shown below is a square.
Answer:
x=25
Step-by-step explanation:
4x-10=90
4x=100
x=25
Answer:
25
Step-by-step explanation:
We know that m∠9 is 90° because the diagonals of a square are perpendicular.
4x - 10 = 90
4x = 100
x = 25°
How many ways are there of arranging three different Math books, five different History books and four different Science books side by side on a shelf if books of the same subject must be together?
Answer:
There are 34560 ways the books can be arranged.
Step-by-step explanation:
I crank my 90s like fazeway