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2 years ago

Decide if each statement about the expression 7f + 15 - 2g is true or false.

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

5 0

Answer:

<h3> FALSE</h3>

Step-by-step explanation:

The statement "The expression contains 2 terms." is false because the expression contains 3 terms: 7f, 15 and -2g

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What is the maximum value of the function f(x) = -x2 + 4?

xenn [34]

Answer:

-x2+4=-x=4-2=2

-x=2

x= -2

8 0

3 years ago

A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

3 0

2 years ago

WILL MARK BRAINLIEST The following table shows the data collected from 2 random samples of 100 students from an after-school clu

lyudmila [28]

Answer:

you should ask a super visor they help a lot but i think its c :)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A total of 234 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t

lorasvet [3.4K]

234 = a + s s = students a = adults
2a = s
after you get the equations you solve. plug 2a into the above equation.
so u get
234 = a + 2a
234=3a then divide 3 from each side
78 = a
so 78 adult tickets were sold

3 0

3 years ago

Look at each expression. Is it equivalent to "the quotient of 10 plus x and y minus 3?

abruzzese [7]

Answer:

the answer for the question is 10+x

y-3

8 0

3 years ago