Answer:
(1.2, 1.6)
Step-by-step explanation:
Rewrite both equations to make y the subject:
Equation 1: 3x - y = 2
⇒ 3x = 2 + y
⇒ y = 3x - 2
This line has a positive slope.
Equation 2: 2x + y = 4
⇒ y = -2x + 4
This line has a negative slope.
Therefore, the graph that has been plotted is y = 3x - 2
Plotting second graph
Equation of the line: y = -2x + 4
Input x = 0 into the equation and solve to find the y-intercept:
⇒ y = -2(0) + 4 = 4
Therefore, the y-intercept is (0, 4)
Input y = 0 into the equation and solve to find the x-intercept:
⇒ 0 = -2x + 4
⇒ 2x = 4
⇒ x = 2
Therefore, the x-intercept is (2, 0)
Plot the two points (0, 4) and (2, 0), and draw a straight line that passes through them.
The solution to the system is the point of intersection of the two lines. From inspection of the graph, this is (1.2, 1.6)
------------------------------------------------------------------------------------------------
Solving algebraically
Equation 1: 3x - y = 2
Equation 2: 2x + y = 4
Sum the equations to eliminate y:
[tex]\begin{aligned}& 3x - y & = 2\\ +\quad& 2x + y & = 4\\ \cline{1-3}& 5x & = 6\end{aligned}[/tex]
Solve for x:
[tex]\implies x=\dfrac65=1.2[/tex]
Substitute found value of x into one of the equations and solve for y:
[tex]\implies y = 3\left(1.2) - 2=1.6[/tex]
So the solution (point of intersection) of the system of equations is:
(1.2, 1.6)
What is 10+10-4x3=??
I will give a free brainliest to the first person to respond to this question :)
Answer:
8
Step-by-step explanation:
PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
[tex]10 + 10 - 4 \times 3 \\ 4 \times 3 = 12 \\ 10 + 10 - 12 \\ 10 + 10 = 20 \\ 20 - 12 = 8[/tex]
Answer:
8
Step-by-step explanation:
4x3 first = 12
then just do left to right
10+10=20
20-12=8
5 STARS ON YOUR ACCOUNT!!! AND COMMENTS AND A THANK YOU
Answer:
OPTION B
Step-by-step explanation:
1 cm=0.75 m
I hope it helped you
The triangles are similar.
What is the value of x?
Enter your answer in the box.
Answer:
x=4
Step-by-step explanation:
3x+8 = 20
subtract 8 both sides
3x=12
divide 3 both sides
x=4
A company promises to release a new smartphone model every month.Each models battery life will be 3% longer than the previous models. If the current models battery life is 684.0 minutes , what will the latest models battery life be 7 months from now ?
Using an exponential function, it is found that the latest models battery life will be of 841 minutes 7 months from now.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, considering that the current battery life is of 684 minutes, and it should increase by 3% each month, the equation for the battery life after t months is given by:
[tex]A(t) = 684(1.03)^t[/tex]
Then, in 7 months, it will be given by:
[tex]A(7) = 684(1.03)^7 = 841[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
A tortoises walking in the desert it walks for six minutes at a speed of 7.68 m per minute. For how many meters does it walk
Answer:
It walks 46.08 meters
Step-by-step explanation:
It states that the toriose's speed is 7.68 m per minute, all we have to do is 7.68 m per minute times 6 minutes.
7.68 * 6 = 46.08
It walks 46.08 meters
what are the Formulas for Simple Interest?
I don't know what subject this would be for. Please be quick.
Answer:
[tex]\boxed{\sf{I=Prt}}[/tex]
Step-by-step explanation:
Here is the formula for simple interest:
[tex]\Longrightarrow:\sf{I=Prt}[/tex]
I stands for "interest on the original investments".P stands for "principal".R stands for "interest rate". T stands for "interest time".I hope this helps you! Let me know if my answer is wrong or not.
Answer:
PRT/100
Step-by-step explanation:
To calculate the simple interest of a principle, use PRT/100, where:
P = PrincipleR = RateT = TimeLet's solve an example together.
Example (https://brainly.com/question/14162725):
Find the Simple Interest to the nearest cent. $300 at 15% for 14 months.
----------------------------------------------------------------------
Before we find the simple interest, let's convert the time into years.
⇒ 14 months = 1 year 2 months ≈ 1.17 years
To find the simple interest, we will substitute the principle ($300), rate (15%) and time (1.17 years) in PRT/100.
⇒ (P)(R)(T)/100 ⇒ (300)(15)(1.17)/100
⇒ (3)(15)(1.17)
⇒ 45(1.17) = $52.65
Thus, the interest is $52.65.
what is the constant of proportionality of the below
Answer:
Proportionality constant k
When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.
Answer: Proportionality constant k
Step-by-step explanation:
below?
HELP MEE!!! PLEASE
Cheryl is filling bags for a party. She puts 2 key chains in each of the 5 bags. Then, she puts 7 treats in each of the 5 bags. write an expression with two factors that show how many items cheryl put in the bags.
Answer: 45 items
Step-by-step explanation:
2 key chains in 5 bags so 2+2+2+2+2=10
Then it says 7 treats in each 5 bags so
7+7+7+7+7=35
So 10+35=45 so she had 45 items
And put 9 items in each bag
When number is multiplied by 4 subtracting from 68, the result obtained is the same as three times the sum of the number and 4 find the number
Answer:
Let the no.be X
when multiplied by 4 = 4X
68-4X=3(X+4)
68-4X=3X+12
collecting like terms together,
7X=56
therefore; X=8
hence ,the number is 8.
Find the sum of
−
3
7
and its opposite
Answer:0
Step-by-step explanation:The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ).
And also
Helppp plssssss!!!!!!
1) Not Congruent
2) Congruent
3) Congruent
4)Congruent
please help!! i'll give a brainliest
Answer:
Answer is -1
have a nice hope it helps.
The talent contest has a total of $1000 in prize money. What is the amount of money for each of the five prizes? Show your work. Enter your answers and your work in the box provided.
Answer:
1000/5=200?
There are five prizes?
Each one has an equal amount?
FIND THE AREA OF THE FIGURE BELOW
Answer:
220 squared units
Step-by-step explanation:
first, find the area of the rectangle by multiplying 8 by 20. Then, fin the area of the triangle by multiplying 6 by 20 and then dividing the result by 2.
8*20=160
6*20=120
120/2=60
Finally, add them together and you get 220 units squared.
Each side of a pentagonal pyrimad is 9 yards. The area of a pentagon is 139 square yards. The slant height of the pyrimad is 6 yards. True or false: the permeter of the base is 45 yards
Answer:
Yes
Step-by-step explanation:
The only relevant information is each side of the pentagonal pyramid is 9 years and so the perimeter of the base is 45 since 9 x 5 = 45 yards.
1) Aladder is placed against the wall of a building such that the bottom of the ladder is 3 ft from the bottom of the wall. If the ladder forms a 14 degree angle with the building, how high up the wall does the ladder reach?
Answer:
0.75 feet
Step-by-step explanation:
Let's picture a right triangle, where :
AB = distance b/w bottom of ladder and bottom of wall = 3 feetAC = length of ladder [what we need to find!]BC = distance b/w top of building and bottom of ladderLet the height of the ladder be x.
Then, taking the ratio b/w the adjacent and opposite sides...⇒ tan 14° = 0.249⇒ tan 14° = x/3⇒ x/3 = 0.249⇒ x = 0.249 x 3⇒ x = 0.747 ≅ 0.75 feetAnswer:
0.748 ft (nearest thousandth)
Step-by-step explanation:
Use the tan trig ratio:
[tex]\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\theta[/tex] = 14°O = xA = 3 ft[tex]\implies \tan(14)=\dfrac{x}{3}[/tex]
[tex]\implies x=3\tan(14)[/tex]
[tex]\implies x=0.7479840085...[/tex]
Therefore, the ladder reaches up the wall 0.748 ft (nearest thousandth)
Evaluate the expression when a=4 and b=6?
8a-b
Answer: 26
Step-by-step explanation: Multiply first then subtract 8(4)-(6) = 32 - 6 = 26
Answer:
26
Step-by-step explanation:
8a-b
Evaluate or substitute
8(4)-6
32-6
26
Jenni plots her house and yard on a computer. she determines that the circle that defines the part of the front yard that gets watered by the sprinkler is (x−9)2 (y 11)2=16. what is the diameter, in meters, of the circular area that gets watered by the sprinkler? 4 m 8 m 16 m 32 m
The length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m
What is the equation of the circle of radius r units, centered at (x,y) ?If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
For this case, the equation of the circle that models tha circular area considered is:
[tex](x-9)^2 + (y+11)^2=16[/tex]
Writing this in standard form and comparing it with the standard equation, we get:
[tex](x-9)^2 + (y+11)^2=16\\(x-9)^2 + (y - (-11) )^2 = 4^2[/tex] (didn't took (-4)² = 16 since radius cannot be negative).
Thus, we get center's coordinate as (9,-11) and radius of 4
The diameter of that circular area = twice of radius of the circle which models it = 2 × 4 = 8 meters.
Thus, the length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m
Learn more about equation of a circle here:
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What is the equation of the line that passes through the point (4,-6) and has a slope of -5/2?
Please I’m desperate I already tried and it was wrong I’ll mark Brainlist
Answer:
y = (-5/2)X + 4
Step-by-step explanation:
we know that the equation of a line is y = mx + b
m = -5/2
so
y = -5/2x + b
to find b:
-6 = -10 + b
b = 4
so
y = (-5/2)X + 4
Answer:
Use the point-slope form of a linear equation:
[tex]y-y_1=m(x-x_1)[/tex]
where:
[tex]m[/tex] = slope[tex](x_1,y_1)[/tex] = point on lineGiven:
[tex]m=-\dfrac52[/tex][tex](x_1,y_1)=(4,-6)[/tex]Substitute given information into the equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-(-6)=-\dfrac52(x-4)[/tex]
[tex]\implies y+6=-\dfrac52x+10[/tex]
[tex]\implies y=-\dfrac52x+4[/tex]
Therefore, the equation of the line in different formats is:
[tex]\textsf{slope-intercept form: }y=-\dfrac52x+4[/tex]
[tex]\textsf{standard form: }5x+2y=8[/tex]
The number of reviews for each of the local restaurants is counted. The results are normally distributed with a mean of 25 and a standard deviation of 4.
What percentage of restaurants have between 20 and 25 reviews?
10.6%
50.0%
16.0%
39.4%
Using the normal distribution, it is found that 39.4% of restaurants have between 20 and 25 reviews.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 25, \sigma = 4[/tex].
The proportion of restaurants that have between 20 and 25 reviews is the p-value of Z when X = 25 subtracted by the p-value of Z when X = 20, hence:
X = 25:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 25}{4}[/tex]
Z = 0.
Z = 0 has a p-value of 0.5.
X = 20:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20 - 25}{4}[/tex]
Z = -1.25.
Z = -1.25 has a p-value of 0.106.
0.5 - 0.105 = 0.394 = 39.4%.
Hence, 39.4% of restaurants have between 20 and 25 reviews.
More can be learned about the normal distribution at https://brainly.com/question/24663213
There are 8 hamburger buns in a package. which number of hamburger buns would fill a whole number of packages: 18, 32, 44, 56?
Answer:
32 and 56?
Step-by-step explanation:
32 and 56 are related to 8.
32=8x4
56=8x7
The number that would fill a whole number of packages of hamburger buns is 32 ad 56.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
18, 32, 44, 56
We need to find which number can be evenly divided by 8 because there are 8 hamburger buns in a package.
Now,
18 is not divisible by 8, because 8 x 2 = 16, and 18 is greater than 16.
32 is divisible by 8 because 8 x 4 = 32.
44 is not divisible by 8, because 8 x 5 = 40, and 44 is greater than 40.
56 is divisible by 8 because 8 x 7 = 56.
Therefore,
32 and 56 would fill a whole number of packages of hamburger buns.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Pythagorean Theorem. Show your work.
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
12^2 + 15^2 = c^2
144 + 225 = c^2
144 + 225 = 369^2
√369 = 19.21
A simple random sample of 60 is drawn from a normally distributed population, and the mean is found to be 28, with a standard deviation of 5. which of the following values is within the 95% confidence interval (z-score = 1.96) for the population mean? remember, the margin of error, me, can be determined using the formula m e = startfraction z times s over startroot n endroot endfraction. the value of 26, because it’s not greater than 26.7 and less than 29.3. the value of 27, because it’s greater than 26.7 and less than 29.3. the value of 32, because it’s greater than 23 and less than 33. the value of 34, because it’s not greater than 23 and less than 33.
The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.
What is a confidence interval?In statistics, a confidence interval is a range to estimate for unknown terms.
The most common level is the 95% confidence interval.
It can be calculated by
CI = Mean ± margin of error.
α = 1 - 0.95 = 0.05
α/2 = 0.025
z(0.025) = 1.96
We need to find the [tex]\frac{\sigma}{\sqrt{n} }[/tex]
[tex]\frac{5}{\sqrt{60} }[/tex] = 0.645
So,
[tex]z \times \frac{\sigma}{\sqrt{n} }[/tex] = 1.96 × 0.645
CI =1.26
C.I= 28±1.2652
Upper limit = 28+1.2652
=29.2625
Lower limit =28-1.2652
=26.7348
Hence, The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.
Learn more about confidence intervals;
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Answer:
B
Step-by-step explanation:
May you help me please I am stressed and struggling
Answer:
a,c,e.
Step-by-step explanation:
2x+3x+4(2) is 5x+8. C is also. 2(2x) is 4x. 2(4) is 8. Add x is 5x+8
i needddddddd helpppppppppp
Answer:
x = 142°
Step-by-step explanation:
The first thing you need to figure out is the missing interior angle of the triangle.
There is 180 degrees in a triangle, there is a 90° and 52° angle listed, so subtract that from 180° to get the missing angle.
180° - 90° - 52° = 38°
Now we want the exterior angle x. Angle x and the interior angle form a straight line when combined which will also be a 180° angle. You can picture this as a half circle (a full circle is 360°).
So subtract the interior angle 38° from 180°
180° - 38° = 142°
Solve for x show work
2x=-6
Answer:
-3
Step-by-step explanation:
2x=-6
transpose 2 to LHS
[tex]x = \frac{ - 6}{2 } \\ =x = - 3[/tex]
Answer:
x = - 3
Step-by-step explanation:
2x = - 6 ( divide both sides by 2 )
x = - 3
A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the red marbles to the blue marbles?
A) 3/5
B) 3/8
C) 5/3
D) 5/8
Total red = 5
Total blue = 3
Ratio of red to blue = 5/3
answer: c. 5/3
What is the perimeter of 4ft and 8ft
Answer:
24
Step-by-step explanation:
4+4+8+8
8 + `16 = 24
Yo I need to bring up my grade bad so
2y=-3x+2
(please show it graphed already :D)
Answer:
Slope: [tex]-\frac{3}{2}[/tex]
y-intercept: (0,1)
[tex]\left[\begin{array}{cc}x&y&0&1\\2&-2\end{array}\right][/tex]
here's the graph since the other knucklehead didn't add it
7.a taxi travels with a constant speed
Answer:
Hi, not sure of what you're asking here?
Step-by-step explanation:
Try rephrasing it??