Which graph correctly solves the system of equations below?x2 + y2 = 9
y = x + 3

Linear graph and circle. They intersect at negative 3, 0 and 0, 3
Linear and a quadratic graph. They intersect at negative 3, negative 5 and 2, 0.
Linear and a quadratic graph. They intersect at negative 2, 0 and 1, 3.
Linear graph and circle. They intersect at negative 2, 0 and 0, 2.

Answers

Answer 1
Answer: x^2 + y^2 = 9 . . . . . . . .  circle
y = x + 3 . . . . . . . (linear graph)

They intersect at (-3, 0) and (0, 3)
Answer 2
Answer:

Answer:

They intersect at (-3, 0) and (0, 3)

Step-by-step explanation:

took the test hope it helps


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Integers are ___ irrational numbers?

Answers

 NEVER is the answer. hope it helps
Every integer is a rational number. An integer is a whole number, whether positive or negative, including zero.

When Arjun makes hot cocoa, he adds 20 mL 20 mL20, start text, space, m, L, end text of chocolate syrup for every 3 33 ounces of hot water. Arjun's brother, Eli, adds 45 mL 45 mL45, start text, space, m, L, end text of chocolate syrup for every 6 66 ounces of hot water. Which hot cocoa is more chocolatey? Choose 1 answer: Choose 1 answer: (Choice A) A Arjun's hot cocoa (Choice B) B Eli's hot cocoa (Choice C) C The two cocoas are equally chocolatey.

Answers

Answer:

(Choice B) B Eli's hot cocoa

Step-by-step explanation:

Arjun makes hot cocoa, he adds 20 mL of chocolate syrup for every 3 ounces of hot water.

Ratio of chocolate syrup to hot water = 20 : 3

= 20 / 3

= 6.67

Eli adds 45 mL of chocolate syrup for every 6 ounces of hot water.

Ratio of chocolate syrup to hot water = 45 : 6

= 45 /6

= 7.5

The ratio of Eli's chocolatey hot cocoa is more than Arjun's chocolatey hot cocoa.

The correct answer is B Eli's hot cocoa

Answer: The answer is the B Eli's hot cocoa .

Find the roots of f(x)=dx^2+ex+f by completing the square.

Answers

Answer and workings in the attachment below.

If 10 men can complete a piece of work in 30 days how many men are requiredto complete the same job in 25 days?

Answers

We must assume that all workmen work at the same rate, and keep it up forever.

More men ==> fewer days

so the proportion is:    30/25 = x/10

Cross-multiply the proportion:

300 = 25 x

Divide each side by 25 :

x = 300/25 = 12 men

The perimeter of the scalene triangle is 54.6 cm.Which equation can be used to find the value of b if side a measures 8.7 cm?

8.7 + b = 54.6
17.4 + b = 54.6
26.1 + b = 54.6
34.8 + b = 54.6

Answers

the correct question is
The perimeter of the scalene triangle is 54.6 cm.
Which equation can be used to find the value of b if side a measure 
8.7 cm and side c measure 26.1 cm?

we know that
the perimeter of a triangle is equal to

P=a+b+c \n P=54.6 cm equation 1

P=a+b+c \n P=8.7+26.1+b equation 2

equate equation 1 and equation 2
54.6=(8.7+26.1)+b \n 54.6=34.8+b

therefore

the answer is the option D
34.8 + b = 54.6

Answer:The correct answer is :

34.8 + b = 54.6

Step-by-step explanation:

The perimeter of the scalene triangle =  Sum of length of all sides

Given that perimeter of the scalene triangle = 54.6 cm

a = 8.7 cm , c = 26.1 cm

a + b + c= 54.6 cm

8.7 cm + b + 26.1 cm= 54.6 cm

34.8 cm+b = 54.6 cm

From the given options the correct answer is:

34.8 cm+b = 54.6 cm

A company has developed a new ink-jet cartridge for its printer that it believes has a longer life-time on average than the one currently being produced. To investigate its length of life, 40 of the new cartridges were tested by counting the number of high-quality printed pages each was able to produce. The sample mean and standard deviation were determined to be 1511.4 pages and 35.7 pages, respectively. The historical average lifetime for cartridges produced by the current process is 1502.5 pages. Calculate the appropriate test statistic to test the hypotheses.

Answers

Answer:

Step-by-step explanation:

Given that

mu = 1502.5 pages

Sample mean x bar = 1511.4 pages

Std deviation =s= 35.7 pages

Sample size n = 40

By assuming random samples since only sample std dev is know we can say that sample mean x bar follows a t distribution with

mean =1511.4 and std error =(35.7)/(√(40) ) \n=5.64

Test statistic t = Mean diff/STd error = 1.613

df = 39