y = 5x – 1
–15x – 3y = 3
How many solutions does this linear system have?
one solution: (0, –1)
one solution: (1, 4)
no solution
infinite number of solutions
y = 5x - 1...so we sub 5x - 1 in for y in the other equation
-15x - 3y = 3
-15x - 3(5x - 1) = 3
-15x - 15x + 3 = 3
-30x = 3 - 3
-30x = 0
x = 0
y = 5x - 1
y = 5(0) - 1
y = -1
it has one solution (0,-1) <=
The governor of state a earns $50,935 more than the governor of state b. If the total salaries is $287,225. Find the salaries for both
Ryan runs 9 miles in 73 minutes. How many minutes does he take per mile?
What is the simplified expression for –3cd – d(2c – 4) – 4d?
A:–5cd
B:cd – 8d
C:5cd – 8d
D:–5cd – 8d
Each second for 20 seconds, an elevator descends 6 feet. Find the total change in elevation.
a grading machine can grade 48 tests in 1 minute. How
long will it take the machine to grade 300 tests?
Simplify the expression
- 3/6 - 5/7
can you show me how?
find the solution of
2x - 2y = -20 and -2x + 4y = 14
how do you evaluate the expression |4/13|
Solumedrol 1.5 mg/kg is ordered for a child weighing 50 lb. Solumedrol is available as 75 mg / 1 mL is available. How many mL must the nurse administer?
I have 7 hundreds blocks, 5 tens blocks, and 8 ones blocks. I use my blocks to model two 3-digit numbers. What could my two numbers be?
the some of two consecutive even integers is 170. find the two integers.
The required value of integers are 84 and 86 respectively.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
Suppose the first even integer be x.
Then, the second even integer is x + 2.
Since the sum is given as 170, the following equation can be formed as,
x + x + 2 = 170
⇒ 2x + 2 = 170
⇒ 2x = 168
⇒ x = 84
Then, the other integer is 84 + 2 = 86.
Hence, the two integers for the given case are 84 and 86 respectively.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ2
A recursive arithmetic sequence is defined ad f(1)=6, f(n+1)=f(n)+5 for n>1. The first four terms of the sequence are shown in the table. Write an explicit formula that represents the sequence using function notation. Find the slope of the line that passes through the points given in the table. The slope is
Answer:
Find the slope of the line that passes through the points given in the table. The slope is
✔ 5
.
Use one of the given points to find the y-intercept. Substitute values for x, y, and m into the equation y = mx + b and solve for b. The y-intercept is
✔ 1
.
Write the formula as a function of n in slope-intercept form. The function is
✔ f(n) = 5n+ 1
for n in the set of natural numbers.
f(x) = 3x + 10x and g(x) = 4x – 2, find (f – g)(x)
An automotive repair center charges $45 for any part of the first hour of labor, and $25 for any part of each additional hour. Which of the following is a correct cost?
A. C(t) = 95 for 1 < x ≤ 2
B. C(t) = 95 for 2 < x ≤ 3
C. C(t) = 120 for 2 < x ≤ 3
D. C(t) = 120 for 4 < x ≤ 5
B. if lucinda has only $18 to spend and the price of kewpie dolls and the price of beanie babies are both $6, how many of each would lucinda buy if she were rational? 0 kewpie dolls and 3 beanie babies 3 kewpie dolls and 0 beanie babies 2 kewpie dolls and 1 beanie baby 1 kewpie doll and 2 beanie babies
Lucinda can rationally choose to buy 0 Kewpie dolls and 3 Beanie Babies, 3 Kewpie dolls and 0 Beanie Babies, 2 Kewpie dolls and 1 Beanie Baby, or 1 Kewpie doll and 2 Beanie Babies, as all combinations fit within her $18 budget. The prices for each are $6.
In order to determine how many Kewpie dolls and Beanie Babies Lucinda can buy, we need to explore her budget constraint. Lucinda has $18 to spend, and the prices of both Kewpie dolls and Beanie Babies are $6 each. We can calculate the maximum possible combinations of each that fit within her budget.
If Lucinda buys 0 Kewpie dolls and 3 Beanie Babies, she spends $0 + $18 = $18.If Lucinda buys 3 Kewpie dolls and 0 Beanie Babies, she spends $18 + $0 = $18.If Lucinda buys 2 Kewpie dolls and 1 Beanie Baby, she spends $12 + $6 = $18.If Lucinda buys 1 Kewpie doll and 2 Beanie Babies, she spends $6 + $12 = $18.All these combinations maximize her budget, so any of these options could be rational depending on her preference. Therefore, Lucinda could rationally choose to buy any of the following combinations: 0 Kewpie dolls and 3 Beanie Babies, 3 Kewpie dolls and 0 Beanie Babies, 2 Kewpie dolls and 1 Beanie Baby, or 1 Kewpie doll and 2 Beanie Babies.
What is 3/8 written as a decimal
At age 45, an elephant grows teeth, each weighing 4 kg. About how many pounds do these teeth weigh? Use the conversion factor 1 kg = 2.2046 lbs. Round to the nearest tenth where necessary.
Is dividing 4/5 the same as multiplying by 5 then dividing by 4?
To decrease an amount by 7%, what single multiplier should you use?
Two bags had 100 kilograms of sugar each. After taking out 3 times as much sugar from bag one than bag two, bag one had half as much sugar left as bag two. How much sugar is left in each bag?
Which set of ordered pairs could be generated by an exponential function?
(0, 0), (1, 1), (2, 8), (3, 27)
(0, 1), (1, 2), (2, 5), (3, 10)
(0, 0), (1, 3), (2, 6), (3, 9)
(0, 1), (1, 3), (2, 9), (3, 27)
Answer:
THE ANSWER IS D
Step-by-step explanation:
THE ANSWER IS D because if you square 3 you get 9, if you cube 3, you get 27
Answer: (0, 1), (1, 3), (2, 9), (3, 27)
Step-by-step explanation:
1meter =1x10^9 in sicentific notation
The GCF of two different numbers is greater than the LCM of the numbers
An ice cream company made a profit of $24,000 in 2011. The same company had a loss of $11,000 in 2012. What is the difference between the company's financial results for 2011 and 2012
The required difference in the financial result is $13000.
given that,
An ice cream company made a profit of $24,000 in 2011. The same company had a loss of $11,000 in 2012. What is the difference between the company's financial results for 2011 and 2012 is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
In the year 2011, an ice cream company made a profit of $24,000
in the year 2012, the same company had a loss of $11,000.
Difference in the result = 24000 - 11000 = $13,000
Thus, the required difference in the financial result is $13000.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
The relationship 1/sin(θ) is equivalent to which of the following trigonometric functions?
A. cot(θ)
B. csc(θ)
C. arcsin(θ)
D. sec(θ)
Answer:
Option B is the correct answer.
Step-by-step explanation:
We have the following trigonometric relations
[tex]cosec\theta =\frac{1}{sin\theta }\\\\sec\theta =\frac{1}{cos\theta }\\\\cot\theta =\frac{1}{tan\theta }\\\\cot\theta =\frac{cos\theta}{sin\theta }\\\\tan\theta =\frac{sin\theta}{cos\theta }[/tex]
Here cosec θ is the correct answer.
Option B is the correct answer.
walt is mixing fruit punch for the party. he combines 1 gallon 2 quarts 3 pints of orange juice , 1 gallon 3 quarts 7 pints of pineapple juice, and 1 gallon 3 quarts 3 pints of ginger ale. what is the total liquid measure of the punch ?
i need help with 1 and 2
You own a house cleaning business. It takes you 2hours and 45 minutes to clean a house. You have 3 houses to clean tomorrow, how long would it take you to clean all three houses?
Draw one card at random from a standard deck of cards. the sample space s is the collection of the 52 cards. assume that the probability set function assigns 1/52 to each of the 52 outcomes. let a = {x: x is a jack, queen, or king}, b = {x: x is a 9, 10, or jack and x is red}, c = {x: x is a club}, d = {x: x is a diamond, a heart, or a spade}.
We have P(A) = 3/13, P(A ∩ B) = 3/52, P(A ∪ B) = 17/52, P(C ∪ D) = 1, and P(C ∩ D) = 0.
(a) To find P(A), we first determine the number of outcomes in A, which consists of 12 cards (4 jacks, 4 queens, and 4 kings).
Since there are 52 cards in total, P(A) = 12/52 = 3/13.
(b) For P(A ∩ B), we look for the cards that are both in A and B.
There are 3 such cards (jack of hearts, jack of diamonds, and jack of hearts).
So, P(A ∩ B) = 3/52.
(c) To find P(A ∪ B), we combine the outcomes in sets A and B, but we avoid double-counting the jacks.
So, A ∪ B consists of 12 cards from A and 5 cards from B, totaling 17 cards.
Hence, P(A ∪ B) = 17/52.
(d) P(C ∪ D) includes all cards that are clubs, diamonds, hearts, or spades.
Since all cards fall into these categories, P(C ∪ D) = 1.
(e) P(C ∩ D) represents the probability of drawing a card that is both a club and either a diamond, heart, or spade.
Since clubs do not intersect with these suits, P(C ∩ D) = 0.
Complete Question:
Draw one card at random from a standard deck of cards. The sample space S is the collection of the 52 cards. Assume that the probability set function assigns 1/52 to each of the 52 outcomes.
Let
A = {x: x is a jack, queen, or king},
B = {x: x is a 9, 10, or jack and x is red},
C = {x: x is a club},
D = {x: x is a diamond, a heart, or a spade}.
Find (a) P(A), (b) P(A ∩ B), (c) P(A ∪ B), (d) P(C ∪ D), and (e) P(C ∩ D).