Given:
The system of equations is:
[tex]x+3y=-13[/tex]
[tex]4x+4y=-12[/tex]
To find:
The solution for the given system of equations.
Solution:
We have,
[tex]x+3y=-13[/tex] ..(i)
[tex]4x+4y=-12[/tex] ...(ii)
Multiply equation (i) by 4, to make common coefficient of x.
[tex]4x+12y=-52[/tex] ..(iii)
Subtract (ii) from (iii).
[tex]4x+12y-4x-4y=-52-(-12)[/tex]
[tex]8y=-40[/tex]
[tex]y=\dfrac{-40}{8}[/tex]
[tex]y=-5[/tex]
Putting [tex]y=-5[/tex] in (i), we get
[tex]x+3(-5)=-13[/tex]
[tex]x-15=-13[/tex]
[tex]x=-13+15[/tex]
[tex]x=2[/tex]
Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].
i’ll give brainliest help plz
Answer:
The first question on the very left it shows
Step-by-step explanation:
go left from main question and up
A researcher has conducted a survey using a simple random sample of 50 licensed drivers to create a confidence interval to estimate the proportion of licensed drivers favoring the construction of a new stoplight. Assume that the sample proportion does not change. The researcher now decides to survey a random sample of 200 people instead of 50 licensed drivers. Which of the following statements best describes how the confidence interval is affected by this change?
The width of the new interval is about the same width as the original interval.
The width of the new interval is about twice the width of the original interval.
The width of the new interval is about one half the width of the original interval.
The width of the new interval is about one fourth the width of the original interval.
The width of the new interval is about four times the width of the original interval.
Answer: the answer is C.
Step-by-step explanation:
Answer:
Might be C?
Step-by-step explanation:
I got D. wrong (The width of the new interval is about one fourth the width of the original interval.)
1. Calculate the scale factor.
a. ⅓ b. ½ c. 2 d. 3
2. Find the value of x.
a. 3•0m b. 3•5 c. 4•5 d. 6•0
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
What is the surface area of the pyramid formed from the net shown here? The triangles are equilateral, and each triangle has a height of 5.2 centimeters. Write your answer rounded to one decimal point and with the correct unit. 6.3 Incorrect. The surface area of an equilateral triangular pyramid is given by the formula surface area = 2bh. The surface area of this equilateral triangular pyramid is 2bh = 2 × 6 cm × 5.2 cm = 62.4 square centimeters. Enter the correct answer. the net of an equilateral triangular pyramid
Answer:
the surface area of the pyramid is 62.4 square centimeters
Step-by-step explanation:
The computation of the surface area of the pyramid is shown below:
As we know that
The surface area = 2bh
= 2 × 6 cm × 5.2 cm
= 62.4 square centimeters
Hence, the surface area of the pyramid is 62.4 square centimeters
what's the value of x?
[tex] {x}^{2} = 625[/tex]
Answer:
hey mate!!
Step-by-step explanation:
x^2=625
x=√625
x=25
hope it helps
A group of friends had dinner at a restaurant. The total bill for the dinner was $41 and they left a 15% tip. What was the total amount that they paid?
Answer:
$47.15
Step-by-step explanation:
41x15%=6.15
6.15+41=47.15
Answer: $47.15
Step-by-step explanation:
[tex]41 (1+.15)\\41 (1.15)\\= 47.15[/tex]
or you could do it in pieces
[tex]41(.15)= 6.15\\41+6.15= 47.15[/tex]
A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
4.1 kilograms
Step-by-step explanation:
A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3.5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
= 7.6 kilograms - 3.5 kilograms
= 4.1 kilograms
What do the h and k in the equations of a circle represent?
Answer:
H and K in the equations of a circle represents the coordinates of it's center point.
Step-by-step explanation:
The variables h and k represent the coordinates of the center of the circle
In the equations of a circle in standard form, [tex](x - h)^2 + (y - k)^2 = r^2[/tex].
The value of h corresponds to the x-coordinate of the center, while the value of k represents the y-coordinate of the center. The center of the circle is denoted as (h, k).
By specifying the values of h and k, we can determine the exact location of the center of the circle on the coordinate plane. These coordinates help identify the position of the circle in relation to the x and y axes.
For example, if the equation of a circle is [tex](x - 2)^2 + (y + 3)^2 = 16[/tex], the center of the circle is located at the point (2, -3), with h = 2 and k = -3.
Understanding the significance of h and k allows us to identify the center of a circle and provides valuable information for analyzing and graphing circles in the coordinate plane.
Therefore, the variables h and k represent the coordinates of the center of the circle
Learn more about circles and their equations click here
https://brainly.com/question/4726772
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two printers working together can print a 250 page book in 30 minutes. printer a takes twice as long as printer b to print the same book. how long would it take each printer working alone to print the book. let the variable x = how many minutes it takes to print the book. Using units of books/minutes, write an equation involving rates using rational functions, solve for x, and interpret the results in context.
Me das mas información porfa?
True or False: If two parallel lines are cut by a transversal, each pair of supplementary angles are congruent
Answer:
this is a true. hdudndjfnfjfndbf9
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
x greater-than 272
x less-than-or-equal-to 272
x less-than 272
x greater-than-or-equal-to 272
Answer:
1200-928 = 272 for the rest of the month Clarissa has to spend.
Step-by-step explanation:
So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.
Answer:
b on edg
Step-by-step explanation:
Solve the equation:
3/4x = 12
Enter the answer in the box. Enter your numerical answer in the box, do not include words or spaces.
Answer:
3/4x=12
3=4x*12
3=48x
3/48x=1/16
x=1/16
The width of your desk is 26 inches. How long is 75% of the width? Round to the nearest tenth if necessary.
Answer:
19.5
Step-by-step explanation:
Mutiply 26 by .75
What is the value of the expression. (-8+4)- (3-9)
Answer:
2
PLZ MARK BRAINLIEST
Step-by-step explanation:
(-8+4) - (3-9) = (-4) - (-6) = -4 + 6 = 2
I = prt solve for( r)
Answer:
r = [tex]\frac{l}{pt}[/tex]
Step-by-step explanation:
Given
l = prt ( isolate r by dividing both sides by pt )
[tex]\frac{l}{pt}[/tex] = r
Please help ASAP i don’t know how to do this
Answer:
c = 74
d = 122
a = 58
b = 48
Step-by-step explanation:
C: a triangle always equals to 180, so 48 + 58 - 180 = 74
D: Angels next to each other on a line always equal to 180, so 180 - 58 = 122
A: Alternating interior angles of a parallel line equal to each other, so it would also be 58
B: A line is 180, so C + A - 180 = B, 74 + 58 - 180 = 48
WILL GIVE BRAINLIEST
Please help, and I'll give brainliest! The following dot plot represents a random sample of elementary students and the number of children that live in their home.
Which of the following numbers is an outlier?
1
6
3
4
2
i have no idea what an outlier is maybe 1?
Answer:
2 is the outlier because if you look you cansee that 2 is the farthest away the other ones than the other ones!
Step-by-step explanation:
PLEASE HELP!!! :(
Consider the following figure
What is BD?
Answer:
BD = 16
Step-by-step explanation:
32/BD = BD/8
BD² = 256
BD = 16
A 34-foot tall utility pole is supported by two wires that are anchored 8feet from the base of the pole.how many feet of wire is needed for the support wires?
Answer:
35 feet
Step-by-step explanation:
The problem is a right angle triangle problem and we have to solve it using pythagoras theorem
Let the length of the wire be x
So;
x^2 = 34^2 + 8^2
x = √34^2 + 8^2
x = 35 feet
standard deviation of the data. 160,220,220,249,190
Answer:
Population: 30.32. Sample: 33.99
evaluate the expression
Answer is here in a file
A coordinate grid has a scale of 1
unit = 100 miles. How far apart, in
miles, are points (-3, 2) and (-3,
12)?
Answer:
It should be 1000 miles
Step-by-step explanation:
If you draw the picture out, you will find as the x-axis part is the same, so the distance will simply be 12 -2 = 10 units, and 1unit = 100 miles, so distance is 100 * 10 = 1000 miles.
URGENT, PLEASE ANSWERR If someone who is 5 feet tall uses a potato gun to shoot a potato in the air at 100 feet per second, we can use the function ℎ()=−162+100+5 to calculate how far the potato will be from the ground at any given second (t). What does the h(0) represent in the context of the problem?
Given:
Consider the function is:
[tex]h(t)=-16t^2+100t+5[/tex]
This function is used to calculate how far the potato will be from the ground at any given second (t).
To find:
The value of h(0) and its meaning in the context of the problem.
Solution:
We have,
[tex]h(t)=-16t^2+100t+5[/tex]
At t=0,
[tex]h(0)=-16(0)^2+100(0)+5[/tex]
[tex]h(0)=0+0+5[/tex]
[tex]h(0)=5[/tex]
Therefore, the value of h(0) is 5. It means the potato is 5 feet from the ground at the time of shooting.
Write the equation of a line parallel to f(x)=1/2x+1 and passing through the point (-5, -2).
Answer:
y = 1/2x + 1/2
Step-by-step explanation:
y = 1/2x + b [Parallel lines have the same slope but different y-intercepts]
-2 = (1/2)(-5) + b [Plug in the coordinates (-5,-2) to find the y-intercept b]
b = 1/2 [Solve for b]
y = 1/2x + 1/2
Answer:
y= 1/2x + 0.5
Step-by-step explanation:
plug in the x and y values to get the y-intercept the slope stays the same. hope this helps! :P
HELP ASAPP!!!! PLZZZ
Answer:
x = 4
Step-by-step explanation:
35/60 = (5x+1+35)/96
3,360 = 60(5x+36)
56 = 5x+36
20 = 5x
x = 4
In a particular week, Mary
worked 8 hours per day for 3
days and 4 hours per day for 2
days. She was paid $10 per hour.
How much did she earn for that
week?
A. $ 120.
B. $ 320.
C. $ 400.
D. $ 600.
Answer:
B. $ 320
Step-by-step explanation:
[8(3) + 4(2)]10
(24 + 8)10
320
Does anyone know this cause I need to understand how to do this.
Answer:
Triangle TSR
Step-by-step explanation:
This triangle is congruent to triangle FED because 3 angles and 3 sides You start with D because angle F is congruent to angle D
If the graph of the function moves to the right two units what is the new vertex of the function
Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
What is the equation of this line?
Write the equation in slope-intercept form.
Answer:
we start by finding the gradient which is 2
then we use the formula y-y1=m (x-x1)
which will be = y=2x-7
