Answer:
{x,y} = {12,5}
Step-by-step explanation:
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3x-7y=1;-x+y=-7
Solution :
{x,y} = {12,5}
System of Linear Equations entered :
[1] 3x - 7y = 1
[2] -x + y = -7
Graphic Representation of the Equations :
-7y + 3x = 1 y - x = -7
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = x - 7
// Plug this in for variable y in equation [1]
[1] 3x - 7•(x -7) = 1
[1] -4x = -48
// Solve equation [1] for the variable x
[1] 4x = 48
[1] x = 12
// By now we know this much :
x = 12
y = x-7
// Use the x value to solve for y
y = (12)-7 = 5
Solution :
{x,y} = {12,5}
please help asap 30 pts
Remark
You need a split statement like C or D. A and B would have to be considered if the ages were between 12 and 60. However the discounts apply the other way. Up to 12 and over 60. You need two inequalities to describe this.
Under 12
x ≤ 12
The pointy end of the arrow points toward the x. x must be less than or at most equal to 12. The pointy end of the inequality must be directed towards the smaller number.
Over 60
x ≥ 60
This time the pointy end is directed towards the 60. x must be at least 60 and then upwards.
So C is the correct answer.
Answer:
answer in c pls give brainlist
Step-by-step explanation:
What is 840,449 to the nearest hundred thousand place
Answer:840,400
Step-by-step explanation:840,449
840,400
Princess Poly and Prince Digit are trying to find out who is taking all of Poly's potato crisps from the pantry. While they're investigating, they come across the royal handyman, Wizard N. Gineer, who is checking whether the air conditioner (AC) is working properly in the castle. The King is complaining that the castle is too hot. Poly and Digit ask Mr. N. Gineer if he has seen anyone lurking around the pantry, and he tells them he will offer some advice if they help him perform some calculations related to the AC issues. Poly and Digit agree to help the handyman in order to gather potential evidence. "The King thinks the AC was particularly inefficient yesterday," Wizard N. Gineer tells them, "but I think the AC is working properly. I determined that the function f(x)=24−5cosπ12t represents the outside temperature in degrees Celsius, where t represents the number of hours past midnight yesterday. I want to calculate the hours during which the air conditioner was cooling the castle and show the results to the King." Help ensure that Poly and Digit receive some helpful advice from the royal handyman by using the handyman's function to answer the following questions.
The problem requires mathematical analysis to find the time intervals during which the outside temperature, represented by a function of time, exceeds the AC's set point, thus determining when the AC was actively cooling the castle.
Explanation:The question presented to Princess Poly and Prince Digit by Wizard N. Gineer involves a mathematical analysis of an air conditioning (AC) system's performance based on outside temperature fluctuations over time. The outside temperature function provided by Mr. N. Gineer is f(t) = 24 - 5cos(rac{
pi}{12}t), where t is the number of hours past midnight. To determine when the AC was actively cooling the castle, one would need to identify the time intervals during which the temperature exceeded the set point at which the AC is triggered to cool. These intervals will be when the function values are above the temperature set point for the AC to start.
For example, if the AC is set to cool the castle at any temperature above 24 degrees Celsius, the solution would involve finding the values of t for which the function exceeds this limit. This involves solving inequalities and possibly using trigonometric identities and properties to find the appropriate time intervals. However, without the exact temperature set point at which the AC starts, we cannot solve for the specific hours during which the AC would be actively cooling.
Rob is setting up a model train track that is 3 3/8 feet long no telephone pole is needed at the start of the track. However along the track he places a telephone pole every 3/8. Foot a part. How many telephone poles dose he need
Kelsay opened a bag of marbles that included red, yellow, green,and blue marbles.There were 144 marbles in all.If there was an equal number of each color of marble,how many of each color of marble were in the bag?
Answer:
36
Step-by-step explanation:
Given that Kelsay opened a bag of marbles.
The bag included 4 colours of marbles of equal numbers.
The four colours are red, yellow, green and blue.
To find the no of marbles of each colour in the bag:
Total number of marbles = 144
Total colours = 4
Hence divide total number by no of colours to get the answre
No of each colour marbles = 144/4 = 36
HELPP 70 POINTS!!!!!!!!!!!
The graph shows the function f(x) = 2x. What is the value of x when f(x) = 8?
A.2
B.1
C.0
D.3
Your answer should be D. 3
Which ordered pair is a solution of the equation y = –9x + 4?
I don't want the answer, I just don't know how to solve it. I'm two weeks behind in work so anything helps!
OK
I'll take a hypothetical case. Suppose one of the ordered pairs = (1, 6) which means 'x = 1 when y = 6)'
we substitute x = 1 and y = 6 into the equation and see if the left side = right side
left: y = 6
right: -9x + 4 = -9(1) + 4 = -9 + 4 = -5
Therefore this ordered pair is NOT a solution to the equation.
Answer: Hello mate!
we have the equation y = –9x + 4 and we want to find ordered a pair that is a solution of the equation. Where a pair has the form (x, y)
First, you need to know that there are infinite ordered pairs that are a solution of this equation, if you want to find them, you need to replace the value of x (or the value of y) with a number, and solve the equation:
suppose x = 1
then y = -9*1 + 4 = -9 + 4 = 5
then the pair (1,5) is a solution of the equation.
The general form of the pairs is (x,y), then the pairs that are a solution for this equation are the pairs of the form (x, y(x)) = (x, -9x + 4)
An angle that measure greater than 0 degrees but less than 90 degrees is the
Please help answer ASAP
I believe the answer is $8.76!
How do you round to the nearest hounded thousand for the number 387,422
Answer:
400,000
Step-by-step explanation:
The equation of a line is x + 3y = 14.
What is the y-intercept of the line?
−14
14/3
14
314
To find the y-intercept you first need to set everything equal to y and that will put everything in the y=mx+b line equation. Where m is the slope and b is the y intercept
x+3y = 14 subtract x over
3y = -x+14 divide by 3
y = -1/3x +14
So 14 is the y-intercept of the equation
the sum of the least and the greatest of 3 consecutive integers is 60. What are the values of the 3 integers?
29, 30, 31
consecutive integers have a difference of 1 between them
let the 3 integers be n, n + 1, n + 2
then n + n + 2 = 60
2n + 2 = 60 ( subtract 2 from both sides )
2n = 58 ( divide both sides by 2 )
n = 29 ← least integer
thus the 3 integers are 29, 30, 31
Brian drove 375 miles using 14 gallons of gas. At this rate, how many miles would he drive using 16 gallons of gas?
[tex]\frac{375}{14}=\frac{x}{16}:x=\frac{3000}{7}(Decimal: x=428.57143...)[/tex]
Which relationship is an example of inverse variation ?
If relationship is an inverse variation then the product of x and y is constant.
A)
2 · 6 = 12
3 · 9 = 27
NOT
B)
1 · 6 = 6
2 · 3 = 6
3 · 2 = 6
6 · 1 = 6
YES
C)
0 · 0 = 0
2 · 8 = 16
NOT
D)
-3 · 4 = -12
-4 · (-3) = 12
NOT
Answer: B)If $2300 is spent on vacations or travel each year, estimate how much should be set aside each month for those expenses?
The Answer Is A. above me is the example.
Describe the end behavior of the function.
[tex]f(x) \rightarrow -\infty \ as \ x \rightarrow \infty \ and \ f(x) \rightarrow 0 \ as \ x \rightarrow -\infty[/tex]
This is true because of the graph. As you can see, if x increases without bound, then f(x) take values from the straight line but those values become more and more negative. On the other hand, if x gets more and more negative, then f(x) approaches zero.
Answer:
Step-by-step explanation:
does anyone have the answers to the lesson 10; graph behavior test precal A unit 3 test?
What does the quadratic function f(x)=x^2-10x+9 look like when it is rewritten in the form f(x) = a (x-h) + k
ANSWER
When [tex]f(x)=x^2-10x+9[/tex] is written in the form [tex]f(x)=a(x-h)^2+k[/tex], it looks like [tex]f(x)=(x-5)^2-16[/tex]
EXPLANATION
To write [tex]f(x)=x^2-10x+9[/tex] in the form [tex]f(x)=a(x-h)^2+k[/tex], we have to complete the squares.
We add and subtract half the coefficient of [tex]x[/tex] square.
[tex]f(x)=x^2-10x+(-5)^2-(-5)^2+9[/tex]
The first three terms of the function is now a perfect square.
[tex]f(x)=(x-5)^2-25+9[/tex]
We now simplify rto obtain,
[tex]\Rightarrow f(x)=(x-5)^2-16[/tex]
Please help asap 30 pts
The inequality:
[tex]0.19x+75\geq100\qquad|-75\\\\0.19x\geq25\qquad|:0.19\\\\x\geq\dfrac{25}{0.19}\approx132[/tex]
Answer: d. x ≥ 132HeeeeeEEEEEELP
For which value of x is the equation 3(x + 2) + x = 2x + 16 true?
A) 2
B) 3
C) 4
D) 5
WHAT'S THE ANSWER?!?
first one: 1200/1.5 = 800, second one: 20,000/10= 2000, third one: 400/20 = 20, fourth one: 266.6, fifth one: 33.3, sixth one: 1000. You're welcome!!
A class has 4 boys and 10 girls. What is the ratio in simplest form that compares number of boys to total number of students?
(A) 4:14
(B) 4:10
(C) 2:7
(D) 2:5
C. The answer is C because the total amount of students is 14, and there are 4 boys, which makes the ratio 4 boys to 14 students in total. 4 and 14 are both divisable by 2, so divide 4 to get 2 and divide 14 to get 7. This leaves you with 2 and 7. The ratio would be 2 boys to 7 total students. Hope this helped
Answer:2:5
[tex]4 divided by two = 2 10/2=5[/tex]
Joe makes $8.75 per hour amd works 32 hours per week but 18 percent is withheld from each paycheck for taxes. If joes monthly expenses total $595 per month and he is able to save the rest, approximately how much could joe save in one year?
he could save $645 a year so he could save up
Alissa sells real estate. She makes a 3% commission rate on each sale. Alissa pays 25% of her commission to her home office to pay for expenses. How can Alissa calculate the amount of money she will keep after selling a $250,000 home? Multiply $250,000 by 0.25. Multiply $250,000 by 0.03. Multiply $250,000 by 0.03, and then multiply again by 0.75. Multiply $250,000 by 0.28.
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
Selling price of home = $250,000
Rate of commission on each sale she get = 3%
Rate of commission pays for expenses = 25%
So, Firstly amount she get on home sale would be
[tex]\dfrac{3}{100}\times 250,000\\\\=0.03\times 250,000\\\\=\$7,500[/tex]
Amount after paying for expenses would be
[tex]7500\times \dfrac{100-25}{100}\\\\=7500\times \dfrac{75}{100}\\\\=7500\times 0.75\\\\=5,625[/tex]
Hence, Multiply $250,000 by 0.03, and then multiply again by 0.75 is correct.
Therefore, Third option is correct.
Answer:
C
Step-by-step explanation:
There are 222 single employees in job grade 2, and 3,927 married employees in job grade 2. Which is higher, the conditional relative frequency among single employees in grade 2, or among married employees in grade 2?
A. Joint frequency
B. Conditional relative frequency
C. Married and grade 2 (92.6%) is higher than Single and grade 2 (5.2%)
D. Single and grade 2 (65.9%) is higher than Married and grade 2 (50.8%)
Answer: Option C. Married and grade 2 (92.6%) is higher than Single and grade 2 (5.2%)
Solution:
Conditional relative frequency single employees in grade 2:
[(Single employees in job grade 2)/(Total employees in job grade 2)]*100%=
(222/4,239)*100%=0.052370842*100%=5.2370842% approximately 5.2%
Conditional relative frequency married employees in grade 2:
[(Married employees in job grade 2)/(Total employees in job grade 2)]*100%=
(3,927/4,239)*100%=0.926397735*100%=92.6397735% approximately 92.6%
92.6%>5.2%:
Married and grade 2 (92.6%) is higher than Single and grade 2 (5.2%)
Answer:
c
Step-by-step explanation:
Using the pythagorean theorem find the length of a leg of a right triangle if the other leg is 8feet long and the hypotenuse is 10 feet long
The Pythagorean Theorem is a² + b² = c². Since the hypotenuse is 10 ft, c=10. The other leg is 8 ft, so b=8. Plug 10 into c, and 8 into b.
a² + 8² = 10²
Square 8 and 10.
= a² + 64 = 100
Subtract 64 from both sides.
= a² = 36
Find the square root of 36.
a = 6
In a housing estate the direct proportion of flats to houses is 2:5. If their are 80 flats, how many houses are there?
what is the value of j(-5)
[tex]f(x)=\left\{\begin{array}{ccc}2-x&if&x\leq-5\\x+11&if&x > -5\end{array}\right\\\\-5\leq-5\ \text{therefore for}\ x=-5,\ f(x)=2-x\\\\f(-5)=2-(-5)=2+5=7[/tex]
The glee club has 120 cupcakes to sell. They have decided to arrange the cupcakes in th shape of a rectangle, such as the rows have an even number of cupcakes and the columns have an odd number of cupcakes. How many arrangements of cupcakes can they creat? Explain.
Answer:
2x60, 4x30
Step-by-step explanation:
Given that the glee club has 120 cupcakes to sell.
These 120 cupcakes are to be arranged in a rectangle shape such that
there are even number of cakes lengthwise and even number of cakes breadthwise.
If l is the number of cakes along row, and m is the number of cakes along column, then we have both l and m as even.
Also lm=120
In other words, we must find 2 even factors of 120 l and m such that lm = 120
2x60 is one such pair
Next is 4x30.
There cannot be any other pair satisfying this condition.
Hence answer is 2x60 or 4x30
70 point for the right answer
Answer:
The answer is A 1/5x^2
Step-by-step explanation:
If a negative exponent is in the numerator, move the expression to the denominator and make the exponent positive
Answer:
The answer is A 1/5x^2
Step-by-step explanation:
8 + 7 = 15
Choose the related addition sentence that shows the commutative property of addition.
A. 15 – 8 = 7
B. 14 + 1 = 15
C. 7 + 8 = 15
D. 15 = 8 + 7
For this case, we have the following generic expression:
[tex]a + b = c\\[/tex]
The commutative property of the addition states that the order of the addends does not alter the sum, therefore the previous expression above can be written as:
[tex]b + a = c\\[/tex]
Thus the expression[tex]8 + 7 = 15[/tex], applying the commutative property, can be written as:
[tex]7 + 8 = 15\\[/tex]
Answer:
Option c