Answer:
the solution is (-2, 1)
Step-by-step explanation:
In the first equation, substitute -2 for x. We get:
y = -2 + 3 = 1
So the solution is (-2, 1)
The solution of system of Equations is x= -2 and y= 1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation:
y= x+ 3
x= -2.
So, putting the values in equation in (1) we get
y = -2 + 3
y = 1.
Thus, the solution is x= -2 and y= 1.
Learn more about equation here:
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It's strawberry season, so Monica wants to make strawberry jam. She buys all of the strawberries left at her local town market for a total of $25.50. If the strawberries cost $4.25 per quart, how many quarts does she buy?
Answer:
6
Step-by-step explanation:
25.5/4.25= 6
Answer: 6
Step-by-step explanation:
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
B
Step-by-step explanation:
The next time Bus A leaves (75 minutes from 6:00), Bus B will also leave because 75 / 15 is a whole number. 75 minutes from 6:00 is 7:15 a.m.
A coordinate grid with 2 lines. One line, labeled f(x) passing through (negative 3, 3), (0, 3), and the point (4, 3). The other line is labeled g(x) and passes through (negative 4, negative 3), (0, 0), and the point (4, 3). Which input value produces the same output value for the two functions on the graph? x = −1 x = 0 x = 3 x = 4
Answer:
x = 4
Step-by-step explanation:
It is stated that f(x) passes through
(-3, 3), (0, 3), (4, 3)
and g(x) passes through
(-4, -3), (0, 0), (4, 3)
Therefore, both functions pass through (4, 3). That is, the input value x = 4 produces the same output value y = 3 for the two functions.
Answer:
d x =4
Step-by-step explanation:
Which is the inverse of the function f(x) = x2 − 4?
y = x2 − 4
Answer:
The inverse of f(x) is
y = x² - 4
x = y ² - 4
y² = x + 4
y = √x + 4
The inverse of the function is y = √x +4
Hope this helps.
Pls help don’t know how to do this one
Answer:
150 m
Step-by-step explanation:
Since we have a dome inscribed in a rectangle, and are given the width of the rectangle, we can,
1. Find the diameter of the circle, which is also 150m
2. Find the length of the rectangle, which is 75m (the length of the rectangle is the same as the radius of the circle)
If we are to find the perimeter of the shaded region, we add the length and half the width of the rectangle. So,
75 + 75 = 150m
There are 50 children on the school basketball team, 60% of
the children are senior students. 80% of the seniors and 40%
of the juniors stay at the after-school program. How many more seniors than juniors stay at the after-school program?
Answer: 16 more seniors than juniors stay at the after-school program
Step-by-step explanation:
50 * 60% = 50 * .6 = 30
30 * 80% = 30 * .8 = 24
50 - 30 = 20
20 juniors and 30 seniors in total
———————————————
20 * 40% = 20 * .4 = 8
24 - 8 = 16
Answer:
16 more seniors stay after school or
Step-by-step explanation:
50/kids
50 x 60% =! 30/Seniors and 20/Junior30 x80% = 24/ seniors stay after school20 x 40% = 8/ juniors stay after school24 - 8 = 16 more seniorRaj takes a taxi to the airport. He expects the taxi to travel at an average speed of 60 mph. The distance from Raj's house to the airport is 30 miles. If Raj's taxi actually travels at an average speed of 50 mph, how many more minutes does the journey take than expected?
Answer:
6 minutes more
Step-by-step explanation:
Time = Distance ÷ Speed
Time = 30miles ÷ 60mph
Time = 30mins
Time = 30miles ÷ 50mph
Time = 36mins
36mins - 30mins = 6mins difference
Answer: 6 minutes
Step-by-step explanation:
Time = Distance / speed
When speed is 60 mph
Time = 30/60 = 1/2 hour = 30 minutes
When speed is 50 mph
Time = 30/50 = 3/5 hour = 36 minutes
y=1/20x^2
The directrix of the parabola is:
x=-5
x=5
y=-5
Answer:
it's y=5
Step-by-step explanation:
Answer:
The correct answer is -5 not 5.
What is the greatest common monomial factor of: 44k^5 - 66k^4 + 77k^3?
Answer:
11k^3 (4k^2 - 6k +7)
Hope this helps :)
a tennis player is standing 12 meters from the base of the net when he hits the ball.the ball passes over the net and lands on the other side 6 meters away from the base of the net. if the height of the net is 1.5m , find the height of the ball when its struck by the player?
A) 3.5m
B)4.5m
C)4.0m
D)4.25m
can any one help. I'll mark brainliest
Answer:
3.5
Step-by-step explanation:
0+1+2+3+4+5+6+7=28
28/8=3.5
Complete the tasks to subtract the polynomials
vertically.
(1.32 +0.412 – 241) – (0.612 + 8 - 181)
What is the additive inverse of the polynomial
being subtracted?
-0.612 + (-8) + (-181)
-0.612 + (-8) + 18+
-0.612 + 8 - 181
0.612 + (-8) + 181
DONE
Answer:
The additive inverse of the polynomial being subtracted is -0.612-8+181
Step-by-step explanation:
Given expression : (1.32 +0.412 – 241) – (0.612 + 8 - 181)
Now the polynomial being subtracted : (0.612 + 8 - 181)
Additive inverse : The number in the set of real numbers that when added to a given number will give zero.
So, Additive inverse of 0.612 = -0.612
Additive inverse of 8 = -8
Additive inverse of -181 = 181
So, The additive inverse of polynomial being subtracted : -0.612-8+181
So, Option B is true
Hence the additive inverse of the polynomial being subtracted is -0.612-8+181
In 2008 Stokely bought a condo that appreciated at a rate of 4% per year he bought the house for $240,000 he decided to sell it this year how much will he sell it for? What would be the Growth/decay rate, the independent variable, the dependent variable, the domain and range, and the starting point
Answer:
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r)^t, where r is the annual interest rate as a decimal fraction, P is the initial amount of money, and t is the time in years. Then:
A = ($240,000)(1 + 0.04)^12 (that's 12 years past 2008)
= ($240,000)(1.04)^12 = $384,247.73
Growth rate: 4%, or 0.04
Independent variable: time (t)
Dependent variable: appreciated value of the house, A
Domain: [0, 30) (assuming that the house is sold within 30 years)
Range: [$240,000, infinity) (the house will never sell for an infinite price)
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y= -2/3x+6. What is the point-slope
form of the equation for this line?
Answer:he slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form…
Step-by-step explanation:
BD is the bisector of ∠ABC. Determine the measure of ∠ABD. ANSWERS: A) 90° B) 55° C) 40° D) 45°
Answer:
D) 45
Step-by-step explanation:
When a line bisects an angle, it cuts the angle into two equal halves. This means that ABD and DBC have the same angle measure, which is half of 90 degrees or 90/2=45. Hope this helps!
Find the surface area of the rectangular prism.
7 km
5 km
3 km
Answer:
142 km^3
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(7*5+3*5+3*7)
A=142
Answer:
[tex]142km^{2}[/tex]
Step-by-step explanation:
you need to find the area of every side and then add them all together so
you do the equation
[tex]2[(7*5)+(3*5) + (7*3)][/tex]
I multiply everything by 2 because there is 2 of every side
once you solve this you get the answer of [tex]142km^{2}[/tex]
I NEED HELP NOW ASAP
Answer:
5 options : 2 correct options
: 3 wrong options
first answer : 2/5
second answer : 1/5-1
: 1/4
p( choosing correct answer)
= 2/5 × 1/4
= 1/10
Answer:
0.10
Step-by-step explanation:
hello,
there are 5 answers and 2 are correct
I choose a first answer - the probability to be a correct one is 2/5
then now, there are 4 left answers and only 1 left is correct
the probability to choose the correct one is 1/4
so in total the probability to choose the 2 correct answers out of 5 is
[tex]\dfrac{2}{5}*\dfrac{1}{4}=\dfrac{1}{10}[/tex]
which is 0.10
hope this helps
The sum of all digits in the numbers 44, 45, and 46 is 27 because (4+4)+(4+5)+(4+6)=27. Find the sum of digits in the first 25 counting numbers: 1, 2, 3, …, 25.
Answer:
The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 is 127
Step-by-step explanation:
The question regards the addition of single digits in numbers and asks of the sum of the digits in the first 25 numbers as follows;
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 + 1 + 4 + 1 + 5 + 1 + 6 + 1 + 7 + 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 + 2 + 2 + 2 + 3 + 2 + 4 + 2 + 5 = 127
The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 = 127.
(08.02)The coordinate grid shows the plot of four equations. A coordinate plane is shown with four lines graphed. Line A crosses the x axis at negative 1 and the y axis at negative 2. Line B crosses the x axis at negative 1 and the y axis at 2. Line C crosses the x axis at 1.5 and the y axis at negative 2. Line D crosses the x axis at 5 and the y axis at 5. Which set of equations has (1, 4) as its solution? A and D B and D A and C B and C
Answer:
B and D
Step-by-step explanation:
In the picture attached, the question is shown.
The graphical solution for a system of two equations is found at the intersection of the two lines. At point (1, 4) line B intersect line D, therefore this point is the solution of the set of equations B and D.
Given the figure below, find the values of x and z
Answer:
x=6 the angle =88
z=92
Step-by-step explanation:
find x
92+11x+22=180
114+11x=180
11x=180-114
x=66/11
x=6 the angle is 11(6)+22=66+22=88
find z=
z+88=180
z=180-88=92
Which of the following is equal to 57%?
O A. 35
O B. 53
5.3
D. 15
which expression is equivalent to 2/9 x 3/4
Answer:
0.16666666666667
Step-by-step explanation:
Let me know if this is correct.
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{2}{9} \times \frac{3}{4} \\ \\ = \frac{2 \times 3}{9 \times 4} \\ \\ = \frac{6}{36} \\ \\ = \frac{1}{6} \\ [/tex]
Which values of a, b, and c represent the answer in simplest form?
9 / 11 divided 5 / 11 = A B/C
a = 1, b = 99, c = 55
a = 1, b = 55, c = 99
a = 1, b = 4, c = 5
a = 1, b = 5, c = 4
About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the standard deviation for the number of people with the genetic mutation in such groups of 600. Round your answer to three decimal places
Answer:
Standard deviation for the number of people with the genetic mutation = 4.178
Step-by-step explanation:
Explanation:-
Given random sample size 'n' =600
proportion of the Population 'p'=3% or 0.03
Let 'X' be the random variable in binomial distribution
Mean of the binomial distribution
μ = n p
= 600 X 0.03
= 18
Mean of the binomial distribution ' μ ' =18
Standard deviation of the binomial distribution
σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]
Conclusion:-
Standard deviation for the number of people with the genetic mutation = 4.178
help! I’m not sure if it’s c or d thanks!!
Answer:
i think its c
Step-by-step explanation:
d looks even if that makes sense
Answer:
C cannot be represented by a linear function
Step-by-step explanation:
We can draw a line to represent the points, then it would be a linear functions
A,B and D can be represented by a linear function
C is a curve
How do you graph solutions for inequalities on a coordinate plane?
Answer:
colorizing
Step-by-step explanation:
you should colorize the area that is the answer to an inequality on plane. thus, the colored area refers to the answer of it.
Please answer if you know
5y^2 - 2 = 3y
Answer:
y= -2/5 and y=1
Step-by-step explanation:
Start by transforming the equation to your liking:
[tex]5y^2-2=3y\\5y^2-3y-2=0\\[/tex]
Now we have to factor! To do this we have to find common numbers. Do this by multiplying -2 and 5 to get -10. Now think about which two numbers add multiply to be -10 but also add up to be -3 (I got this number from the middle of the equation). The two numbers you should've got are -5 and 2.
Now substitute those two number in place of the middle term, which is -3y like so:
[tex]5y^2-5y+2y-2 =0[/tex]
Now solve the equation in pieces... find the greatest common factor from [tex](5y^2-5y)[/tex] and the greatest common factor from [tex](2y-2)[/tex] . The two common factors for both of those are 5y and 2. Your equation should now look like this:
[tex]5y(y-1)[/tex] + [tex]2(y-1)[/tex]
The two greatest common factors become into one group and the other equation that they have in common (y-1) is it's own equation:
[tex](5y+2)(y-1)=0[/tex]
Now equal both of the equations to 0 and solve for y to get both of the values of y.
Which equation can be used to find B in the triangle below? Right triangle A B C is shown. Side A B has a length of 6, side B C has a length of 10, and side A C has a length of 8. tangent B = Eight-tenths Tangent B = eight-sixths cosine B = Ten-sixths Cosine B = ten-eighths
Answer:
Tangent B = eight-sixths
Step-by-step explanation:
Data
AB: 6 unitsAC: 8 unitsFrom tangent definition:
tan(β) = opposite/adjacent
where β is some angle, and opposite and adjacent are the opposite and adjacent sides (or legs) to that angle.
In our case, B is the angle, opposite to angle B is side AC, and adjacent to angle B is side AB. Replacing with data:
tan(B) = AC/AB
tan(B) = 8/6
Answer:
B is the correct option here
Step-by-step explanation:
hope that this helps. Peace and love
3m = -18
please help!!!
Answer:
m = -6
Step-by-step explanation:
3m = -18 (Divide both sides by 3)
3m/3 = -18/3
m = -6
Answer:
m=-6
Step-by-step explanation:
3m=-18
Divide by 3 on each side.
3m/3=-18/3
m=-6
RSTU is a parallelogram. Solve for x. ANSWERS: A) –5 B) 10 C) 8 D) 0
Answer:
D) 0
Step-by-step explanation:
In a ║gm, opposite sides are parallel and equal.
So,
RS = UT
=> x+5 = 2x+5
=> 2x-x = 5-5
=> 2x = 0
=> x = 0
Answer:
Step-by-step explanation:
i think 0