Answer:
Step-by-step explanation:
8x + 9y = 9 3x – 5y = 20 a. (3.36, –1.99) c. (0, –1.99) b. (–1.11, 2.79) d. (3.36, 2.79)
Answer:
x = 225/67 , y = -133/67 or decimal x≈3.3582 and y≈-1.9851, thus a. is the answer rounded.
Step-by-step explanation:
Solve the following system:
{8 x + 9 y = 9 | (equation 1)
3 x - 5 y = 20 | (equation 2)
Subtract 3/8 × (equation 1) from equation 2:
{8 x + 9 y = 9 | (equation 1)
0 x - (67 y)/8 = 133/8 | (equation 2)
Multiply equation 2 by 8:
{8 x + 9 y = 9 | (equation 1)
0 x - 67 y = 133 | (equation 2)
Divide equation 2 by -67:
{8 x + 9 y = 9 | (equation 1)
0 x+y = -133/67 | (equation 2)
Subtract 9 × (equation 2) from equation 1:
{8 x+0 y = 1800/67 | (equation 1)
0 x+y = -133/67 | (equation 2)
Divide equation 1 by 8:
{x+0 y = 225/67 | (equation 1)
0 x+y = -133/67 | (equation 2)
Collect results:
Answer: {x = 225/67 , y = -133/67
Which of the following are square roots of the number below? Check all that
apply.
576
A.) 24
B.) -576 1/2
C.) 12
D.) -24
E.) 48
F.) 576 1/2
Answer:
A and D
Step-by-step explanation:
576 ^ 1/2 = + or - 24
Pls help me it’s emergency plzz fast
Answer:
67.3%
Step-by-step explanation:
Calculate profit = selling price - cost price
cost price = 50 × $28 = $1400
38 × $49 = $1862
12 × $40 = $480
selling price = $1862 + $480 = $2342
Profit = $2342 - $1400 = $942
% profit = [tex]\frac{profit}{cost}[/tex] × 100%
= [tex]\frac{942}{1400}[/tex] × 100% ≈ 67.3% ( to 1 dec. place )
From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units. *
i really need this plz plz will mark bianleast
Point S is translated left 8, down 4.
Which is the coordinate pair for the translated point S'?
(8, 4)
(4, –1)
(–8, –4)
(–4, –1)
Answer:
(–4, –1)
Step-by-step explanation:
Since, S is translated left 8 and down 4, therefore x and y coordinates would be - 4 and - 1 respectively.
Hence, the coordinate pair for the translated point S' are (–4, –1).
F(x) is a function
A.true
B.false
Answer:
false
Step-by-step explanation:
A function has a one to one correspondence. That means each input goes to one output. 12 goes to 2 different outputs so it is not a function
Answer:
false
Step-by-step explanation:
f(x) is not a function because an input can I have more than one output.
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You
pick a ball from the hat at random and then you flip a coin. Using a tree diagram, obtain the sample space for the
experiment.
Question Progres
izzes
Answer:
coin: ball:
1
head -- 6
7
1
tail -- 6
7
The required Sample space = {(h, 1), ( h, 6) (h ,7 ), ( t, 1 ), ( t, 6 ), ( t, 7 )}.
Given that,
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree diagram, To obtain the sample space.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
a coin has 2 sample space = {H , T}
H = head and T = tail
a hat with three balls has sample space {1, 6, 7}
Now, a ball picks from the hat at random and then flips a coin
Sample spaces
H T
----------------- ---------------
1 6 7 1 6 7
Implies
Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}
Thus, the required Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
There are twice as many students in the cooking club as in the drama club. Suppose there are $a$ students in the drama club and $b$ students who are members of both clubs. Find an expression for the total number of students who are in the cooking club or the drama club but not both. Give your answer in simplest form.
Answer:
Total Students = 3a - 2b
Step-by-step explanation:
Given
Students in drama club = a
There are twice as many students in cooking club as in drama club;
So, Students in cooking club = 2a
Members of both clubs = b
Required
Expression for total students in cooking or drama club but not both;
To do this, number of students in individual clubs need to be calculated;
Let Students in drama club only be represented by D and Students in cooking club only be represented by C
So,
D = Students in drama club - Members of both clubs
D = a - b
Similarly,
C = Students in cooking club - Members of both clubs
C = 2a - b
So, total students in cooking or drama club but not both D + C
Total students = a - b + 2a - b
Collect like terms
Total Students = a + 2a - b - b
Total Students = 3a - 2b
What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 3 EndScripts (1.3) (.8) Superscript n minus 1
Answer:
Sigma-Summation Underscript n = 1 Overscript 3 EndScripts (… ... Underscript n = 1 Overscript 3 EndScripts (1.3) (.8) Superscript n minus 1 ... To get the sum to infinity of the geometric series, we need to get its first term
Step-by-step explanation:
A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.
Answer:The initial value is the beginning output value, or the y-value when x = 0. The rate of change is how fast the output changes relative to the input, or, on a graph, how fast y changes relative to x. You can use initial value and rate of change to figure out all kinds of information about functions.
Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25.
Subtract 4.25 repeatedly 3 times to get to an output with an input of 0.
Calculate 42.25 – (3 x 4.25).
The initial value is 29.50.
What is the area of the triangle?
3
2
6
Answer:
A = 6 units^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
A = 1/2 (6)(2)
A = 6 units^2
Answer:
6 units^2
Step-by-step explanation:
The area of a triangle can be found using the following formula.
a=(bh)/2
where b is the base and h is the height. In this triangle, we know that 6 units is the base. We also know that 2 units is the height, because the height should form a right angle(little square) with the base.
b=6
h=2
Substitute these values into the formula.
a=(6*2)/2
Multiply 6 and 2 first.
a=12/2
Divide 12 by 2
a=6
Add appropriate units. Area always has the unit squared.
a= 6 units^2
The area of the triangle is 6 square units.
The parent function is f(x) = 2^x-6 + 3 and the new function is g(x) = 2^x-3 + 2
How does the graph change fromf (x)tog(x)?
Select each correct answer.
The graph is shifted 3 units right.
The graph is shifted 1 unit up.
The graph is shifted 1 unit down.
The graph is shifted 3 units left.
Answer:
Options C and D.
Step-by-step explanation:
The given functions are
[tex]f(x)=2^{x-6}+3[/tex]
[tex]g(x)=2^{x-3}+2[/tex]
We need to find the transformation from f(x) to g(x).
Now, write the function g(x) in the form of f(x).
[tex]g(x)=2^{x+3-3-3}+2+1-1[/tex]
[tex]g(x)=[2^{(x+3)-6}+3]-1[/tex]
[tex]g(x)=f(x+3)-1[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (1) and (2), we get
[tex]a=3>0[/tex], so graph shifts 3 units left.
[tex]b=-1<0[/tex], so graph shifts 1 unit down.
Therefore, the correct options are C and D.
Write the quadratic expression -16t2 − 8t + 24 in factored form.
Hope this helps! : )
What object is defined using a directrix and a focus
A. Perpendicular Bisector
B. Parabola
C. Circle
D. Angle Bisector
Answer: B
Step-by-step explanation:
A parabola is defined using both a directrix and a focus.
To justify this, let me take a quote from Varsity Tutors (all credit of this quote goes to them) : “A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.”
Hope this helps! :)
How do you convert a fraction to a decimal 1/6
Answer:
0.166666667
Step-by-step explanation:
to convert a fraction to a decimal, you divide the numerator (1) by the denominator (6)
7
jet flies over the Air Force Base at 10:20
am At 10:32 am, the plane passes over the
Ilary Base Station, 120 miles away. How fast
is the aircraft traveling?
Answer:
The speed of aircraft is 600 mph.
Step-by-step explanation:
Given distance = 120 miles
Time for which jet flew : from 10:20 AM to 10:32 AM
Total duration for which jet flew = 10:32 - 10:20 = 12 minutes
(from 10 hours 32 minutes and 10 hours 20 minutes
10 hours gets cancelled, 32 minutes - 20 minutes is 12 minutes)
here time is in minutes, we have to convert it in hours
we know
60 minutes = 1 hour
1 minutes = 1/60 hour
multiplying LHS and RHS by 12
1*12 minutes = (1/60) *12hour
12 minutes = (1/60) *12hour
12 minutes = 1/5 hours
We know
speed = distance / time
distance = 120 miles
time = 1/5 hours
speed = 120 miles/ (1/5 hours)
speed = 120 * 5 mph = 600 mph
The speed of aircraft is 600 mph.
What is the volume of a triangular prism 5m 13m 6m
Answer: 195
Step-by-step explanation: 5*13*6=390
390/2=195
Answer:
195
Step-by-step explanation:
PLEASE I NEED A LOT OF HELP
Answer:
x = 45°
Step-by-step explanation:
Look at the picture*
A. 180
B.82
C. 46
D. 98
Please answer help me
Answer:
D
Step-by-step explanation:
Because the angle with measure 82 and angle 1 are corresponding angles, their angles measure must be equal, and therefore angle 1 has measure of 82 as well. Since angles 1 and 2 are a linear pair, they must be supplementary, and angle 2 is therefore 180-82=98 degrees. Hope this helps!
[tex]answer = 98 °\\ solution \\ < 1 = 82(being \: corresponding \: angless) \\ < 1 + < 2 = 180(sum \: of \: angle \: in \: straight \: line) \\ or \: 82 + < 2 = 180 \\ or < 2 = 180 - 82 \\ < 2 = 98° \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Help ASAP will give brainliest!!!!!
Answer:
A is the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
No. of classmates who like salsa music = (56÷100)×75 = 42
No. of relatives who like salsa music = (80÷100)×60 =48
How many more relatives like salsa as compared to classmates = 48-42= 6
Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 8
A. log(3)
B. log 4
Chloe. log(2) + log(3)
D. log 2
SUBMIT
Answer:
none is equivalent. all are wrong
A right triangle has a base equal to 13 inches and a height equal to 18 inches. Find the area of the triangle. Type a
numerical answer in the space provided. Do not include units or spaces in your answers,
Answer:
117
Step-by-step explanation:
area of a triangle= 1/2 bxh
13x18=234
divide by 2=117
Answer:
117 is the Answer
Step-by-step explanation: hope this helps!
the sum of two rational numbers will always be
The sum of two rational numbers will always be rational
[tex]\frac{a}{b} +\frac{c}{d} =\frac{ad+bc}{bd}[/tex], therefore it will always be rational
A can contains 15/16 pounds of vegetables . one serving of these vegestables weights 3/16 . what is the total number of serving of vegetables in the can
Since both fractions have the same denominator, divide the numerators:
15/3 = 5
There are 5 servings.
the cube has a side length of 0.8 meters
work out the total surface area of the cube
give your answer in square centimeters
show your working out
------------------------------------please help------------------------------------------------------------------------
Answer:
you go to the teacher and ask for help
Step-by-step explanation:
get up take paper toteacher and ask
After plotting the data where x=area, and f(x)=the length of one side of the square, Sam determined the appropriate model to approximate the side of a square was *square root sign*x+2-1 Use the model Sam created to predict the side length of the square when the area is 14.
3
9
16
28
Answer:
3
Step-by-step explanation:
Plugging 14 into the given model equation, you get:
[tex]\sqrt{14+2}-1= \\\\\sqrt{16}-1=\\\\4-1=\\\\3[/tex]
Hope this helps!
Answer:
The answer is 3
Step-by-step explanation:
what is 12000 mutiplyed by 180000
Answer:
The Answer is 2160000000
Answer:2160000000
Step-by-step explanation:
what is the value of x ?!
Answer:
4
Step-by-step explanation:
2x - 1 = 7
2x = 8
x = 4
You bought groceries last week. You used coupons and saved 25% on your grocery bill. You saved $8.80. How much was your bill before coupons?
Answer:
$35.2
Step-by-step explanation:
% saved = 25%
Money saved = $8.80
Let x be the bill before the coupon discount.
25/100 × x = 8.80
x = $35.2
Determine the number of real solutions to the quadratic equation 5a2−6a+10=0.
Select the correct answer below:
0 real solutions
1 real solution
2 real solutions
Answer:
There are no real solutions to the quadratic equation 5a² - 6a + 10 = 0.
Step-by-step explanation:
We can determine the number of real solutions to a quadratic equation according to the value of its determinant, which is written with the capital letter D.
If pa² + qa + r = 0 and p > 1.
Thus, D = q² - 4pr.
If D > 0, then the equation has 2 real solutions.
If D = 0, then the equation has 1 real solution.
If D < 0, then the equation has 0 real solutions.
We can deduce D from the equation 5a² - 6a + 10 = 0 by writing the following:
p = 5
q = -6
r = 10
D = q² - 4pr
D = (-6)² - 4(5)(10)
D = 36 - 200
D = -164
D < 0
Since the determinant is negative, the equation 5a² - 6a + 10 = 0 has zero real solutions.
I hope this helps! Sorry if my English didn't really help with having a clearer explanation.