All categories

3 years ago

Someone plz help me

Mathematics

1 answer:

marusya05 [52]3 years ago

8 0

This is a parabola which looks like an inverted U. Its will have a maximum value when t = 7 as we see from the vertex form below:-

- t^2 + 14t - 40
= - ( t - 7)^2 + 49 - 40
= -(t - 7)^2 + 9

There is an axis of symmetry at x = 7.

so a is true since 7 is the maximum value of the function and its less at t = 6.
c is also true because of the symmetry about t = 7

You might be interested in

The length of a rectangle is 6 inches longer than it’s width what are the possible widths if the area of the rectangle is at lea

stealth61 [152]

Let the width = x

length = x + 6

(x + 6) * x = 667

Simplify

x² + 6 = 667

x² + 6 (-6) = 667 (-6)

x² = 661

√x² = √661

x = √661

x = 25.71 (rounded)

25.71 in. is your width

hope this helps

6 0

2 years ago

Hurry!

NARA [144]

Ans(a):

Given function is $f(x)=\frac{3x-1}{x+4}$

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.

Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

$g(x)=\frac{3x-1}{x+4}+4$

We may simplify this equation but that is not compulsory.

Comparision:

Graph of g(x) will be just 4 unit upward than graph of f(x).

Ans(c):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

$8=\frac{3x-1}{x+4}+4$

$8-4=\frac{3x-1}{x+4}$

$4=\frac{3x-1}{x+4}$

$4(x+4)=(3x-1)$

$4x+16=3x-1$

4x-3x=-1-16

x=-17

Hence final answer is x=-17

8 0

3 years ago

Which system of equations has no solutions? 9 NW AUOVO 5 -NW A o Voor 1 o 1 2 3 4 5 6 7 8 9 O 1 2 3 4 5 6 7 8 9 X O O O O MN 7.

dusya [7]

Answer:

the one with one line and the one that is parallel, Basically the two on top^_^

3 0

2 years ago

Read 2 more answers

Solve the following quadratic equation<br>x+12x+36 - 16

Doss [256]

Answer:

x= -2, x= -10

Step-by-step explanation:

x^2 + 12x + 36 = 16

Began by setting this quadratic equation to 0. To do this, in this equation you must subtract.

x^2+12x+20=0

Next, we plug this into the quadratic formula, where a in this case is 1(there is nothing in front of x^2), b is equaled to 12(there is a 12 as the coeefficient of 12x), and c is equaled to 20.

The quadratic formula is as goes:

(-b+-(this means plus or minus)√b^2-4ac)/(2a)

After pluggin in and simplifying, the answer is x= -2 and x= -10

4 0

3 years ago

Last year the manager of a health care facility served 36,500 dinners. The manager estimates an increase of 5% in the number of

EastWind [94]

Answer:

38,325 dinners.

Step-by-step explanation:

We have been given that last year the manager of a health care facility served 36,500 dinners. The manager estimates an increase of 5% in the number of dinners to be served next year.

The estimated number of dinners next year would be 36,500 plus 5% of 36,500.

$36,500+(\frac{5}{100}\times 36,500)$

$36,500+(0.05\times 36,500)$

$36,500+1,825$

$38,325$

Therefore, 38,325 dinners will be served next year.

6 0

3 years ago