Answer:
[tex](0;-4) (3,0); (6,4); (9,8)[/tex]
Step-by-step explanation:
You will end up with ordered pairs. the way to find them is to assign convenient values to either x OR y, and find the remaining ones. by "convenient" i would recommend having either equal to zero, and then playing with coefficients so that something else goes to "convenient" numbers - since I'm lazy and I hate typing fractions in here.
[tex]x= 0 \rightarrow 4(0) -3y=12 \rightarrow y=-4;\\y=0 \rightarrow 4x -3(0) = 12 \rightarrow x=3;\\x=6 \rightarrow 4(6)-3y=12 \rightarrow -3y=-12 \rightarrow y=4\\y= 8 \rightarrow 4x-(3)(8)=12\rightarrow 4x=36 \rightarrow x=9[/tex]
How did I choose 6 and 8? Mostly practice and a bit of good eye. 12 at the RHS is 4 times 3, and the LHS is 4 times something, minus 3 times something else, so it was a good bet that picking multiples of the other something would cancel out.
what number is 3/4 of the way from -6 to 15?
Answer:
9.75
Step-by-step explanation:
|-6|+|15|=6+15=21
-6+3/4*21
-6+63/4
-6+15.75
9.75
A National Institute of Health survey of 40467 U.S adults found that 3156 of them experienced at least one major depressive episode in the previous year. Make a 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year. (Source: https://www.nimh.nih.gov/health/statistics/major-depression)
Using the information given, it is found that the 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
3156 out of 40467 adults experienced depression, hence:
[tex]n = 40467, \pi = \frac{3156}{40467} = 0.078[/tex]
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 - 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.075[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 + 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.081[/tex]
The 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).
A similar problem is given at https://brainly.com/question/16807970
*6. This is a list of ingredients for making a pear & almond crumble for 4 people.
Ingredients for 4 people:
80 g plain flour
60 g ground almonds
90 g soft brown sugar
60 g butter
g
4 ripe pears
Jessica wants to make a pear & almond crumble for 10 people.
Here is a list of the amount of each ingredient Jessica has in her cupboard.
250 g plain flour
100 g ground almonds
200g soft brown sugar
150 g butter
8 ripe pears
Work out which ingredients Jessica needs to buy more of.
You must show all of your working.
Find the area of the rectangle.
9 m
16 m
☞ 9m
☞ 16m
Formula: A = lw
Whereas:
A = area
l = length
w = width
Solution:[tex]a = lw \\ 9 \times 16 \\ a = 144m[/tex]
Final Answer:[tex]\huge\color{pink}\boxed{A = 144m}[/tex]
pls help me and pls no link dont try me
Answer:
red line
the red line has a slope of -1 by looking at the coordinates,
it also intersects the given point (1,-1)
Ken wants to install a row of ceramic tiles on a wall that is 21 3/8 inches wide. Each tile is 4 1/2 inches wide. What fraction of a tile must he install at the end of the row to totally fill the space?
Answer: 1/4
Step-by-step explanation:
He needs 4 3/4 whole tiles, you could round it to 5 whole tiles. He needed 4 3/4 whole tiles. To completely fill in all the spaces on the wall evenly, it needs to be 5 even, while, tiles. To fill in the empty space, you must subtract 5 and 4 3/4, which explains why Part A says “How many whole tiles does he need” and the answer “4 3/4” So, Subtraction: 5- 4 3/4 = 1/4!
Your welcome :)
Ken must install 3/4 fraction of tile at the end of the row to totally fill the space.
Given that,
Ken wants to install a row of ceramic tiles on a wall that is 21 3/8 inches wide. Each tile is 4 1/2 inches wide. What fraction of a tile must he install at the end of the row to totally fill the space is to be determined.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Total length of the wall = 21 3 / 8 = 21 . 375
Width of tile = 4 1/2 = 4.5
Now, the ratio of wall to tile = 21. 375 / 4.5
quotient = 18 Remainder = 3.375
Now the ratio of the remainder to the tile = 3.375 / 4.5 = 0.75 or 3 / 4.
Thus, Ken must install 3/4 fraction of tile at the end of the row to totally fill the space.
Learn more about ratios here:
brainly.com/question/13419413
#SPJ2
Use point-slope form to write the equation of a line that passes through the point
(-7, 10) with slope -5.
Answer:
y = -5x - 25
Step-by-step explanation:
Substitute into form of y - y1 = m(x - x1): (Take the point (-7,10) for x1 & y1, m would be the slope)
y - 10 = -5(x -(-7))
y - 10 = -5(x + 7)
y - 10 = -5x - 35
y = -5x - 25
Answer:
y= -5x-25
Step-by-step explanation:
Equation of line with points given =
y = mx + b
m = -5 , x = -7 , y = 10 while the intercept, b is not given, so we need to find that...
Therefore, we substitute the value for the given equation
10 = -5*-7 + b
10 = 35 + b
b = 10 - 35
b = -25
Therefore we substitute the value for m and b to the equation of line
y = -5x - 25
Is (1,1), (2,2), (3,3), (4,4), (5,8) a function? Why or why not?
A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph. What was the average speed of the car for the entire journey?
Since the distances were the same you can find the average speed directly by adding the speeds then dividing by 2. No need to weight anything.
If we’re considering speed regardless of direction, the average speed is:
(24 + 16) / 2 = 40 / 2 = 20mph
However if direction matters, then one number has to be negative since the directions are opposite:
(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)
Depending on the context, either of these could be your answer.
Answer:
19.2
Step-by-step explanation:
You have to trust me, this answer is correct. But here's my solution:
With the formula
Distance=Speed multiplied by Time, we can infer that Speed=Distance/Time.
But we only have one variable (Speed) in the two we need (Speed and Time), we have to pretend we have both variables. You can put the time as 1 hour, because that's the most basic unit. Note that this strategy will also work with 2 hours, 3 hours, or any measure of time.
So now for distance, let's see how fast a car can travel 24 miles. When going at 24 mph, then it'll take 1 hour. With 16 mph, then it'll take 1 hour and 30 minutes, so 1.5 or 3/2 hours.
Now we have the distance, which is 2 times 24 (Because the 24 mph and 16 mph both traveled 24 miles), equaling 48, and time, which is 1 hour plus 1.5 hours, which is 2.5 hours.
Now we use the formula Speed=Distance/Time, with 48/2.5=19 1/5 or 19.2
DUBS
(Please consider giving a Brainliest. I spent lots of time on this, and it's honestly the best answer out of all!)
PLEASE HELP ME GIVING BRAINLIEST
Answer:
B
Step-by-step explanation:
Because it starts from the smallest negative prefix to largest
To solve for k in the inequality -16 -32 > -48, what steps are correct?:
A First, subtract 32 to each side, then divide by -16 and flip the sign
B First, divide both sides by 16, then add 32 to both sides and leave
the sign
C First, subtract 48 from both sides, divide by -16 and leave the sign
D First, add 32 to both sides, then divide by -16 and flip the sign
Answer:
D. First, add 32 to both sides, then divide by -16 and flip the sign
Step-by-step explanation:
Taking that the inequality is -16k-32>-48
First you have to get rid of any addition or subtraction, in this case you have to get rid of -32 by adding 32 to each side:
-16k-32+32 > -48 +32
Then you need to divide by -16 and flip the sign because you are dividing by a negative number and if you don't flip the sign the inequality will be false.
[tex]\frac{-16k}{-16} <\frac{-16}{-16}[/tex]
What is the product?
(x − 3)(2x2 − 5x + 1)
2x3 − x2 + 16x + 3
2x3 − 11x2 + 16x + 3
2x3 − 11x2 + 16x − 3
2x3 − x2 + 16x − 3
Step-by-step explanation:
= (x - 3)(2x² - 5x + 1)
= 2x³ - 5x² + x - 6x² + 15x - 3
= 2x³ + (-5 - 6)x² + (1 + 15)x - 3
= 2x³ - 11x² + 16x - 3
Option → C
The product of the given polynomials is: C. 2x³ - 11x² + 16x - 3.
What is the Product of Two Polynomials?The product of two polynomials is simply the multiplication of both polynomials together.
Given:
(x − 3)(2x² − 5x + 1)
Multiply using the distributive property
x(2x² − 5x + 1) -3(2x² − 5x + 1)
2x³ - 5x² + x - 6x² + 15x - 3
Combine like terms
2x³ - 11x² + 16x - 3
Therefore, the product of the given polynomials is: C. 2x³ - 11x² + 16x - 3.
Learn more about polynomials on:
https://brainly.com/question/2833285
1.
The diagram shows a kite, ABCD.
AFE and CEF are equilateral triangles.
The ratio of angle DAE : angle EAF = 1:4.
Work out angle x
Write on the diagram the values of any other angles you use in your working.
Answer:a) ∠BDE is 60° because ΔBDE is an equilateral triangle with all three angles = 60°.
Step-by-step explanation:
b) ∠CDB = 120° because 180° - 60° = 120°
When A = 5x + 4 and B = 9x - 6 what is the value of B-A
help
Answer:
B - A = 4x - 10
Step-by-step explanation:
B - A
= 9x - 6 - (5x + 4) ← multiply terms in parenthesis by - 1
= 9x - 6 - 5x - 4 ← collect like terms
= 4x - 10
Answer:
4x-10
Step-by-step explanation:
30 boys and 56 girls as a ratio
Answer:
30:56!
Step-by-step explanation:
since 30 boys is mentions first you can start it as that way
it helps me better and is way more efficient
write each equation in standard form. 5/8x+3/4y= -1
Answer: 5x + 6y = -8
Step-by-step explanation: i believe this is the answer but i might be wrong, let me know. hope I helped!
I will give BRAINLIEST. Could someone give an answer along with a brief explanation pls.
Answer:
y=[tex]\frac{3}{4}[/tex]x-2
Step-by-step explanation:
Since it will be parallel that means m=[tex]\frac{3}{4}[/tex]
then you can use point slope form (y-y1)=m(x-x1): y+5=[tex]\frac{3}{4}[/tex](x+4)
then you can distribute the [tex]\frac{3}{4}[/tex]: y+5=[tex]\frac{3}{4}[/tex]x+3
then subtract 5: y=[tex]\frac{3}{4}[/tex]x-2
Select all true statements about the line and its equation.
Answer:
the first, second and fifth ones
Step-by-step explanation:
Which table of values represents a linear function?
HELP ME!
A line passes through the points (5,16) and (7,18) Write a linear function rule in terms of x and y for this line.
Answer:
y=x+11；
Step-by-step explanation:
Let's say the direct equation is y=kx+b;
Plug in the two points to get the system：
[tex]\left \{ {{16=5k+b} \atop {18=7k+b}} \right.[/tex]
So k is equal to 1, b is equal to 11，
so y=x+11；
Help pls I can’t get this anymore
Answer:
D
Step-by-step explanation:
According to the Pythagorean theorem, if you call the 2 legs of a right triangle a and b respectively and call the length of the hypotenuse c, you have:
[tex]a^{2} + b^{2} = c^{2}[/tex]
=> [tex]36^{2} + 10^{2} =[/tex] [tex]hypotenuse ^{2}[/tex]
=> 1396 = [tex]hypotenuse ^{2}[/tex]
=> hypotenuse = [tex]\sqrt{1396}[/tex] (inch)
=> Answer D
The price of a gallon of unleaded gas has dropped to 2.85 today. Yesterday's price was 2.91. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Pretty please answer diss
Answer:15
Step-by-step explanation:
x=180-(110+55)=15
The price of a notebook was 3.70 yesterday. Today, the price fell to 3.20. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
The price was dropped around 15%
Step-by-step explanation:
You will pay $3.15 for a item with original price of $3.70 when discounted 15%. In this example, if you buy an item at $3.70 with 15% discount, you will pay 3.70 - 0.555 = 3.15 dollars.
Tried a couple times but cant seem to find the answer, would appreciate an explanation.
Answer:
Option CStep-by-step explanation:
You just need tp translate what is written in the two- column proof into paragraph.
Given that the two angles have same measure of 125°, by transitive property we proof that the angles are congruent.
We don't perform any of addition, division or multiplication operations. We just compare the angle measures and come to conclusion.
This is best described in the paragraph C
6 two the second power+(59-4) divided by 11)×2
Answer:
Step-by-step explanation:
6^2+ (59 - 4 ) = 36 + 55 = 91
I'm taking this to mean 11*2 If I am wrong leave a note.
11*2 = 22
91 / 22 = 4.14
CAN SOMEONE PLEASE ANSWER MY QUESTION IF IS WORTH 100 points!!!! I HAVE BEEN TRYING TO GET AN ANSWER SINCE 1:00! AND I HAVE SPENT OVER 1000 POINTS!!!!!!! JUST PLEASE TAKE TIME TO ANSWER!!!! DON"T PUT A LINK PLEASE OR DELETE
GIVEN THAT TAN Ꝋ= - 4/3 AND Ꝋ IS IN QUADRANT II, FIND SIN 2Ꝋ
Answer:
sin 2θ = -24/25
Step-by-step explanation:
see the below formula of sin x in terms of tan x
by substituting => -4/3 / ± √(16/9 + 1)
=> -4/3 / ± √(25/9)
=> -4/3 / ± 5/3
=> ± -4/5
=> ± 4/5
as theta is in second quadrant is in 2nd quadrant sin value is positive
so sin θ = 4/5 and cos θ = -3/5
now sin 2θ = 2 sinθcosθ
= 2 * 4/5 * -3/5
= -24/25
Here at Dillard 6-12 the amount of new teacher went from 24 teachers to 30 teachers. What is the percent of change?
Answer:
25% increase
Step-by-step explanation:
formula for percent of change = (new amount - original amount) / original amount; this will give you a decimal and multiply it by 100 to get the percent
(30 - 24) / 24
6/24 = 1/4 = 0.25
25% increase
A train goes at a constant speed. It can travel 150 miles in 2 1/2 hours. How long would it take for that train to travel 100 miles?
Answer: 1 hour and 50 min
Step-by-step explanation:
Answer:
Step-by-step explanation:
Can someone tell me what happens in 2 hours
Sarah practices the piano 1/3 hour in the morning, 5/6 hour in the afternoon, and 4/5 hour in the evening.
Answer:
Sarah practices the Piano for 1.96666 Hours or 59/30 Hours
Step-by-step explanation:
0.33333 + 0.83333 = 1.16666
1.16666 + 0.8 = 1.96666
1.96666 = 59/30
