Consider the quadratic function f(x) = -x²-x+2.Determine the following: (enter all numerical answers as integers, fractions, or decimals):
The x-intercepts are
The y-intercept is
The vertex is
The line of symmetry has the equation
Give your answers as points, separated by a comma.
Give your answer as a point.

Answers

Answer 1

Answer: the x-intercepts are (-1, 0) and (2, 0).
the y-intercept is (0, 2).
the vertex is (-0.5, 2.25).
the line of symmetry has the equation x = -0.5.

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jesse drives to work. The distance jesse's car travles (d) on a number of gallons of gas (g) is given y the equation d=15g.

Answers

you need to know what the distance jesse traveled is and then the number of gallons of gas she has then you plug it it.

distance equals 15 times the amount of gas in gallons
d=15g

Find the nth term of this sequence 5 10 15 20 25 ...

Answers

5n is the nth term hope this helps

The NTH term is 5n..

8;18;30;44;.... calculate the nth term of the sequence

Answers

The nth term of the sequence will be Tn = n^2 + 7n

How to calculate the nth term of a sequence

Given the sequence of numbers expressed as:

8;18;30;44;

Their common difference will form an A P as shown:

10, 12, 14...

Next term = preceding term + 2

Next term = 14 + 2

Next term = 16

The next term of the squence will be 44 + 16 = 60

The nth term of the sequence will be Tn = n^2 + 7n

Learn more on nth term here: brainly.com/question/7882626

Hello,

a(1)=8
a(2)=18=8+10=8+8+2=2*8+2=2*8+2*(2-1)
a(3)=30=18+12=2*8+2*(2-1)+8+2*(3-1)=3*8+2(1+2)
a(4)=44=a(3)+14=3*8+2(1+2)+8+2(4-1)=4*8+2(1+2+3)....

a(n)=n*8+2(1+2+3+...+(n-1))
= 8n+2*n*(n-1)/2)=8n+n(n-1)=n²+7n

$\boxed{a_(n)= n^2+7n}$

n=1=>1²+7*1=8
n=2=>2²+7*2=4+14=18
n=3=>3²+7*3=9+21=30
n=4=>4²+7*4=16+28=44
...

Find the product of (4x + 3y)(4x − 3y).16x2 − 24xy + 9y2
16x2 − 9y2
16x2 + 24xy + 9y2
16x2 + 9y2

Answers

Answer:

Option B is correct

$16x^2-9y^2$

Step-by-step explanation:

The distributive property says that:

$a \cdot (b+c) = a\cdot b+ a\cdot c$

To find the product of (4x + 3y)(4x − 3y).

Distribute the first term of the first expression to the second expression and second term of the first expression to the second expression we have;

$4x(4x-3y)+3y(4x-3y)$

Apply the distributive property;

$16x^2-12xy+12xy-9y^2$

Combine like terms we have;

$16x^2-9y^2$

therefore, the product of (4x + 3y)(4x − 3y) is, $16x^2-9y^2$

Answer:

Correct Answer: 16x^2 - 9y^2

Step-by-step explanation:

Line AB has a length of 5 cm. The line segment is dilated to produce line A'B', which has a length of 2 cm. Find the scale factor of the dilation. A. k = 2/5
B. k = 1/2
C. k = 5/2
D. k = 2

Thank you in advance for your help!

Answers

Answer:

Option A is correct

k = 2/5

Step-by-step explanation:

The rule of dilation with scale factor k is given by:

$k = \frac{\text{Image length}}{\text{original length}}$

As per the statement:

Line AB has a length of 5 cm. The line segment is dilated to produce line A'B', which has a length of 2 cm.

⇒original Length (AB)= 5 cm

and

Image length (A'B') = 2 cm

Apply the rule of dilation we have;

$k = \frac{\text{A'B'}}{\text{AB}}$

Substitute the given values;

$k = (2)/(5)$

Therefore, the scale factor of the dilation is, 2/5

The correct answer is A. k = 2/5

Did you hear about the two punsters who told a lot of jokes about cats?

Answers

Final answer:

The question involves punsters, individuals who craft jokes based on word meanings, and who told numerous jokes about cats. These jokes likely involved word play related to traits, habits or behavior associated with cats.

Explanation:

The question is about two punsters who used to tell a lot of jokes about cats. A punster is an individual who makes jokes taking advantage of the different possible meanings of a word or fact that there exist words that sound alike but have different meanings.

In this context, these punsters would use word play to create humor about cats. This implies crafting jokes that could have multiple interpretations, often related to common traits, habits, behavior, or other features typically associated with cats.

Learn more about Puns here:

brainly.com/question/16017814

#SPJ12

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