Had 6 bagels and ate all but 4 of them. how many bagels were left?

For the graph, what is a reasonable constraint so that the function is at least 200?

Anastasy [175]

Answer:

$0\leq x\leq 15$

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one

For the graph below, what should the domain be so that the function is at least 200? graph of y equals minus 2 times the square of x plus 30 times x plus 200

My answer:

Given the above information, we have:

$y=-2x^2+30x+200$

To make the function is at least 200, it means that:

$y=-2x^2+30x+200$ ≥ 200

<=> $-2x^2+30x$ ≥ 0

<=> x(-2x+30) ≥ 0

This is the product of two numbers hence would be positive only if either both are positive or both are negative

Case I: Both positive

x ≥ 0 and (-2x+30) ≥ 0

<=> 0 ≤ x ≤ 15

Case II: Both negative

Then we get

$x\leq 0 and -2x+30\leq 0\\\\x\leq 0 and x\geq 15$

This is inconsistent as a value cannot be less than 0 and greater than 15

=> our correct answer is $0\leq x\leq 15$

Hope it will find you well.

3 0

2 years ago

Determine the scale factor for this scale diagram. Is it an enlargement or reduction?

kupik [55]

Answer:

d. C. 4; enlargement

Step-by-step explanation:

Scale factor = Ratio of one of the side length of the scale diagram to the corresponding side length of the original diagram

Side length of scale diagram = 8 units

Corresponding side length of original diagram = 2 units

Thus:

Scale factor = 8/2 = 4

Scale factor = 4

Since it's an while number, it implies that it is an enlargement.

4 0

2 years ago

An arithmetic series has seven terms. the first term is 5 and the last term is 53. find the sum of the series!

Kisachek [45]

The easiest way is to use (& to memorize) the sum formula for a AP:

Sum = 1st term added to the last term & multiplied by half the number of terms
S = (a+l)n/2

S = (5 + 53)(7/2) = 203

5 0

3 years ago

Determine if the two triangles are congruent. If they are, state how you know.

KIM [24]

Answer:

Well i dont know what all the sides/angles are called but no they are not congruent.

Step-by-step explanation:

Congruent, means for the 2 objects, shapes, etc. to be exactly the same. If you look at the triangles, they are not the same shape of triangle.

7 0

2 years ago

the sum of the first nine terms of an arithmetic series is 162, and the sum of the first 12 terms is 288. Determine the first fi

Natali5045456 [20]