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3 years ago

What are the x-intercepts of the graph of the function f(x) = x^2 + 5x − 36?

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

5 0

Answer:

The x-intercepts of the graph of the function are -9 and 4

Step-by-step explanation:

factor the function f(x)=x²+5x-36
f(x)=(x+9)(x-4)
x = -9, 4

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A cyclist travels a distance of 837 1/2 feet in 25 seconds. The cyclist travels at a constant rate. What is the unit rate, in fe

wel

Answer:

$\boxed{33.5 \ \text{feet/second}}$

Step-by-step explanation:

To find the unit rate, we need to find out how much distance does the cyclist travel in 1 second. For that, we need to use the unitary method. A unitary method is a method that determines the unit rate of an object.

Note: Since the cyclist travels at a constant rate, unitary method can be used.

$\rightarrow 837 \dfrac{1}{2} \ \text{feet in 25 seconds}$

$\rightarrow 837.5 \ \text{feet} = 25 \ \text{seconds}$

Divide both sides by 25:

$\rightarrow \dfrac{837.5}{25} \ \text{feet} = \dfrac{25}{25} \ \text{seconds}$

$\rightarrow 33.5 \ \text{feet} = 1 \ \text{seconds}$

$\rightarrow \boxed{33.5 \ \text{feet/second}}$

Learn more about unitary method: brainly.com/question/19423643

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3 years ago

State whether each pair of triangles is similar by AA-SSS-or SAS-. If none of

alexgriva [62]

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3 years ago

Students who party before an exam are twice as likely to fail as those who don't party (and presumably study). If 20% of the stu

True [87]

Answer:

The fraction of the students who failed to went partying = $\frac{1}{10}$

Step-by-step explanation:

Let total number of students = 100

No. of students partied are twice the no. of students who not partied.

⇒ No. of students partied = 2 × the no. of students who are not partied

No. of students partied before the exam = 20 % of total students

⇒ No. of students partied before the exam = $\frac{20}{100}$ × 100

⇒ No. of students partied before the exam = 20

No. of students who not partied before the exam = $\frac{20}{2} = 10$

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4 years ago

Algebra Help Please!!!

Vesnalui [34]

Answer:

Step-by-step explanation:

The given function can be rewritten as y = ∛(27)*∛(x-3) - 5, or y = 3∛(x-3) - 5.

The basic (parent) function is y = ∛x. Graph this.

Next, perform a vertical stretch on this parent function: every y value will be 3 times its previous value.

Next, translate this graph 3 units to the right.

Last, translate this new graph 5 units downward.

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3 years ago

Read 2 more answers

I will mark brainliest but only if you answer correctly and I will report if you don’t actually give an answer

zloy xaker [14]

Answer:

Choice D

y = 3(2/3)^x

Step-by-step explanation:

a) y = 2(3/2)^x = 3^x (pretty close)

b) y = (2/3)^x (wrong, coming from the wrong side)

c) y = 2(3)^x = 6^x (too close to y line)

d) y = 3(2/3)^x = 2^x (looks right)

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3 years ago