QUESTION 1
the solution is (-1,-5)
To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up
-y=5
y=3x-2
0=3x+3
3x=-3
x=-3/3
x=-1
Then, we use this value to find the other one
y=3x-2
y=3(-1)-2
y=-3-2
y=-5
Therefore, the solution is (-1,-5), which is the same showed graphically.
QUESTION 2.
Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).
To verify the solution algebraically, we must multiply the second equation by -6
x+6y=6
-6y=-2x+12
x=-2x+18
x+2x=18
x=18/3
x=6
Then, we use this value to find the other one
x+6y=6
6+6y=6
6y=6-6
y=0/6
y=6
Therefore, the solution is (6,0),
Answer asap and only if yk 100% its correct
The function h(T)= 200- 16t represents the height of a ball dropped from 200 feet.
How far had the ball traveled after falling for 7 seconds?
Answer: 112 feet
Step-by-step explanation:
What is the area of this figure?
Answer:
35 cm^2
Step-by-step explanation:
First find the area of a square by multiplying its side lengths together: 5 * 5 = 25 cm^2.
Now find the area of the triangle by multiplying the base by the height and dividing by 2: 4 * 5 / 2 = 10 cm^2.
Therefore the total area of the figure is 25 + 10 = 35 cm^2.
What is the measure of angle y in this figure?
Answer:
163
Step-by-step explanation:
Opposite degrees are equal in two lines. (Vertical Angles)
Answer:
y = 163°
Step-by-step explanation:
The measure of angle y is 163 ° because vertical angles are congruent and congruent angles have the same measure.
Which expression is equivalent to this polynomial?
x2 + 12
Answer:
Option A is the correct answer
A. [tex](x+2\sqrt3 i)(x-2\sqrt3 i)[/tex]
Step-by-step explanation:
[tex](x + 2 \sqrt{3} i)(x - 2 \sqrt{3} i) \\ \\ = {(x)}^{2} - (2 \sqrt{3} i)^{2} \\ \\ = {x}^{2} - {(2)}^{2} {( \sqrt{3} )}^{2} {i}^{2} \\ \\ = {x}^{2} -12 {i}^{2} \\ \\ = {x}^{2} - 12( - 1) \\ (\because i^2=-1) \\ = {x}^{2} + 12[/tex]
An angle is a figure formed by two _____ with a common endpoint.
A. rays
B. lines
C. shapes
D. straightedges
E. planes
Answer:
Two rays (or lines) that begin at the same point or share same endpoint. If the lines have endpoints, they're rays. If not, they're lines.
22 people share 333 chocolate bars equally. Each chocolate bar is the same size.
About how much chocolate does each person get?
22 people
333 chocolate bars
to find:the amount of chocolate each person get.
solution:[tex] \frac{333}{22} [/tex]
[tex] = 15.1363636364[/tex]
[tex] = 15.14[/tex]
[tex] = \frac{15.14}{1} [/tex]
[tex] \frac{15.14}{1} \times \frac{100}{100} [/tex]
[tex] = \frac{1514}{100} [/tex]
[tex] \frac{1514 \div 2}{100 \div 2} [/tex]
[tex] = \frac{757}{50} [/tex]
[tex] = 15 \frac{7}{50} [/tex]
Answer:
[tex]15\frac{7}{50}[/tex]
Step-by-step explanation:
Given that:
22 people share 333 chocolate bars equally. Each chocolate bar is the same size.
To Find:
About how much chocolate does each person get?
Solve:
Since, it given us that 22 people share 333 chocolate bars equally and how much chocolate does each person gets. Therefore we have to divide the chocolate bars by the number of people.
[tex]22\overline{|\smallspace333}\:\:\:\:\:\:[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1\emptyspace5.13636\:\:\:\:\:\:\:\:\:\:\:\\ 22\overline{|\smallspace333.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace2\emptyspace2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace1\emptyspace1\emptyspace3\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace3\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\underline{\emptyspace2\emptyspace2}\\80\\\underline{\emptyspace6\emptyspace6}\\140\\\underline{\emptyspace13\emptyspace2}\\8[/tex]
Rounding to nearest tenth: 15.14
Now put 15.14 over 1
[tex]\frac{15.14}{1}[/tex]
Multiply both by 100
[tex]\frac{15.14}{1}\times\frac{100}{100}[/tex]
[tex]=\frac{1514}{100}[/tex]
[tex]=\frac{1514\div2}{100\div2}[/tex]
[tex]=\frac{757}{50}[/tex]
Turning into mixed number:
[tex]15\frac{7}{50}[/tex]
Thus, each person get about [tex]15\frac{7}{50}[/tex] chocolate
Kavinsky
A balloon rises to 100 feet in 4 minutes and 125 feet in 5 minutes. Write and solve an equation to find the distance the balloon rises in 8 minutes. Use d for distance and m for minutes.
Write the equation and the answer separated by a semi-colon. Included the unit in your answer.
For example, d = 5m; 35 feet
Answer:
See below
Step-by-step explanation:
100 ft in 4 min = 25 ft/min
125 feet in 5 min = 25 ft min
so the height is d = 25 * m d = height m = minutes
25* 8 = 200 feet
A line passes through the point (-4,8) and has a slope of -5/4.
Write an equation in slope-intercept form for this line.
Answer:
y = -1.25x + 3
OR
y = -1 1/4x + 3
OR
y = -5/4x + 3
find the x- and y- intercepts of parabola y=5x^2-16x+10
Y-INTERCEPT
[tex]y = 5x^2 - 16x + 10[/tex]
The y-intercept is where the equation/curve/parabola cosses the y-axis.
The y-axis is where x = 0. (The x-axis is where y = 0)
To find the y-intercept:
[tex]\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10[/tex]
The y-intercept must be at (0, 10)
X-INTERCEPT (ROOTS/SOLUTIONS)
[tex]y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0[/tex]
We need to use the quadratic formula
The quadratic formula helps us find what values of [tex]x[/tex] make the equation = 0
Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\[/tex]
The x-intercepts are at:
[tex](\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)[/tex]
How can you show your work for 8800 divided by 4
NEED HELP ASAP PLEASEEE
Answer:
.......C........
Step-by-step explanation:
......
Find the volume of this triangular prism. Be sure to include the correct unit in your answer.
No links, you will be reported
Answer:
120 yards cubed
Step-by-step explanation:
brainliest please
help please fast .. this is in the class
Answer:
3 is correct answer
Step-by-step explanation:
root 2 and pi are irrational numbers
find the value of x ( SHOW YOUR WORK )
11. 20% of a number is 6. What is the number?
A. 12
B. 26
C. 30
D. 48
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's solve ~
Assume the number to be x, and let's proceed as per the given information :
[tex]\qquad \tt \dashrightarrow \: \dfrac{20}{100} \times x = 6 [/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{x}{5} = 6[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 5 \times 6[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 30[/tex]
So, the correct choice is C
20% of a number= 6.
to find:the unknown number.
solution:let the unknown be x.
[tex]20\% \times x = 6[/tex]
[tex] \frac{20}{100} = 6[/tex]
[tex]x = 6 \times \frac{100}{20} [/tex]
[tex]x = 30[/tex]
therefore, 20% percent of 30 is 6.
answer= option c
Which of the following is a negative aspect of wind power?
A. It does not generate waste and has little impact on the ecosystem
B. There is no emission of greenhouse gases
C. It is more expensive than traditional fossil fuel power stations
D. It takes more coal-fired power stations to produce as much energy
Answer:
C is the answer, as wind turbines are more expensive
Corrine picked 1/4 gallon of blackberries. She poured the berries equally into 4 containers. What fraction of a gallon is in each container?
Answer:
1/16
Step-by-step explanation:
In the starting, Corrine had 1/4 gallon of blackberries. Now, she poured the berries equally into 4 containers. Therefore, the amount of berries in each container is:1/4 : 4=1/16
Thus, each container has 1/16 of a gallon of blackberries.
Answer:
1/16 th of a gallon in each container.
Step-by-step explanation:
That would be 1/4 divided by 4.
1/4 / 4
= 1/4 * 1/4
= 1/16.
14. During math class, Hallie created the following
riddle to ask her father at dinner.
I am thinking of a number such that 3 less than
twice that number is the additive inverse of 7.
What is the number?
Which inverse operations in the correct
sequence will solve the riddle?
A. Add 3; then multiply by 2.
B. Add 3; then divide by 2.
C. Multiply by 1/2;then subtract 3.
D. Multiply by 1/2;then divide by 3.
Answer:
A
Step-by-step explanation:
work backwards so do the opposite of what they told you
example: - you do +
multiply, you do divide etc etc
Question 2 (Essay Worth 10 points)
(03.02, 03.03, 03.04 MC)
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of
money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 10,125(1.83)*
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years
r (number of years) 1
2
3
4
g(r) (amount in dollars) 9,638 18,794.10 36,648.50 71,464.58
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)
2
Answer:
Account A: Decreasing at 8 % per year
Account B: Decreasing at 10.00 % per year
Account B shows the greater percentage change
Step-by-step explanation:
Part A: Percent change from exponential formula
f(x) = 9628(0.92)ˣ
The general formula for an exponential function is
y = ab^x, where
b = the base of the exponential function.
if b < 1, we have an exponential decay function.
ƒ(x) decreases as x increases.
Account A is decreasing each year.
We can rewrite the formula for an exponential decay function as:
y = a(1 – b)ˣ, where
1 – b = the decay factor
b = the percent change in decimal form
If we compare the two formulas, we find
0.92 = 1 - b
b = 1 - 0.92 = 0.08 = 8 %
The account is decreasing at an annual rate of 8 %.The account is decreasing at an annual rate of 10.00 %.
Account B recorded a greater percentage change in the amount of money over the previous year.
What is the perimeter of the woods, in miles? Round
you
answer to the nearest tenth.
The perimeter of the woods is 26 miles if each grid represents one mile in the figure.
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We know the perimeter of the rectangle = 2(length + width)
As we can see closely in the figure the perimeter of the wood is actually a perimeter of a rectangle if we shift vertical and horizontal lines to make it a complete rectangle.
Let's suppose each grid is expressing one mile.
So the length of the rectangle = 9 miles
The width of the rectangle = 4 miles
The perimeter of the woods = 2(9+4) = 26 miles
Thus, the perimeter of the woods is 26 miles if each grid represents one mile in the figure.
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ1
6.
What is the perimeter of a regular pentagon with a side length of 4.9 cm?
4.9 cm
29.4 cm
14.7 cm
24.5 cm
Answer: The answer would be 4.9 :)
Step-by-step explanation:P=24.5cm
P=5a=5·4.9=24.5cm
=4.9
Nick bought a sweater for $16.75 and $28.92. estimate how much Nick spent on the sweater and pants.question 2 if Nick paid with $50 how much money will he receive in change?
1. Round to the nearest whole dollar and add: 17 + 29 = $46
Estimated he spent about $46
2. subtract the two amounts from 50:
50-16.75 - 28.92 = $4.33 change back
A man drove his car at 80km per hr for 1 and a quarter hrs .He rested for 45mins and then covered 240km, at the same time. Calculate his average speed for the whole journey
Answer:
Probably 128 km/h, but maybe 98.5 km/h. See below.
Step-by-step explanation:
What does "at the same time" mean?
If it means that he covered the 240 km in the same time as he convered the 80 km, then this is how you solve it:
80 km in 1.25 hour
240 km in 1.25 hour
Total distance: 80 km + 240 km = 320 km
Total time: 1.25 hour + 1.25 hour = 2.5 hour
average speed = (total distance)/(total time) = 320 km / 2.5 hour = 128 km/h
If it means he covered the 240 km in the same time he covered the 80 km plus the rest, then this is how you solve it:
80 km in 1.25 hour
240 km in 1.25 hour + 45 min = 240 km in 1.25 houir + 0.75 hour = 240 km in 2 hour
Total distance: 80 km + 240 km = 320 km
Total time: 1.25 hour + 2 hour = 3.25 hour
average speed = (total distance)/(total time) = 320 km / 3.25 hour = 98.5 km/h
Here are the test scores for 15 students in Mr. M's class.
96, 85, 59, 63, 76, 68, 94, 97, 89, 100, 93, 96, 72, 46, 78
What is the percentage of these test scores that are less than 90?
5) Give all intercepts
Answer:
4, -4, 10
Step-by-step explanation:
on these types of questions you can take each seperate parenthesis and equate it to 0
for example:
x^2 - 16 = 0
hence,
x^2 = 16
x = 4 or -4
second parenthesis:
10 - x = 0
x = 10
make sure to ask if you need any further guidance :)
the prime factorization of 567 is blank.
So, the prime factorization of 567 can be written as 34 × 71 where 3, 7 are prime.
Evaluate the following:
csc(theta)
25/7
sec(theta)
25/24
cot(theta)
24/7
CosФ=24/25
Sin Ф=7/25 CoseceФ=25/7
TanФ=7/24 cotФ=24/7
SecФ=25/24
can anyone answer this ? or recommend a better website or app that’s good for doing algebra problems like these..
Answer:
(A) 7/(m+4)
Step-by-step explanation:
When fractions have a common denominator, you add them by adding their numerators and using that sum with the common denominator.
Here, you may be able to cancel a common factor from numerator and denominator to simplify the expression further.
[tex]\dfrac{4m-17}{m^2-16}+\dfrac{3m-11}{m^2-16}=\dfrac{4m-17+3m-11}{m^2-16}=\dfrac{7m-28}{m^2-16}\\\\=\dfrac{7(m-4)}{(m+4)(m-4)}=\boxed{\dfrac{7}{m+4}}[/tex]
Select the correct answer.
Which question Is NOT a statistical question?
O A.
How many vehicles do Boston residents have per household?
• B.
How much money do Boston residents spend on transportation every day?
O C.
How many Boston residents use public transportation?
® D.
How many times per month do Boston residents use
public transportation?
O E.
How long does it take for Boston residents to travel to work?
Answer:
A. How many vehicles do Boston residents have per household?
Step-by-step explanation:
A statistical question is that question, which is answered by collecting variable data. For example - “How old are the students in your neighborhood?”
So, here the question that is not statistical is How many vehicles do Boston residents have per household? As its answer can be 1 or 2 at maximum.
Whereas;
B. How much money do Boston residents spend on transportation every day? This is statistical as you need to conduct survey for this to collect data.
C. How many Boston residents use public transportation? This also needs survey to collect data and data will be variable.
D. How many times per month do Boston residents use public transportation? This is also statistical as you have to gather data from many people.
E. How long does it take for Boston residents to travel to work? This is also statistical as everyone will have a variable answer depending on the distance they travel.
Answer:
A
Step-by-step explanation:
have a good day