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Debora [2.8K]
3 years ago
15

If x= -2 what is the value of -5x + 8x/4 + 7

Mathematics
2 answers:
AVprozaik [17]3 years ago
6 0
-5(-2) + 8(-2) /4 + 7
10 - 16/4 + 7
10 - 4 + 7
13
Andrej [43]3 years ago
3 0

Answer:

13

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

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I need help please!!!
galben [10]

Answer:

Y= 3

Step-by-step explanation:

When the line hits - 1

The y axis shows that its 3

3 0
3 years ago
A drawing of a rectangular room has dimensions of 12 inches by 6 inches. If the scale is 2 inches : 4 feet, find the area of the
grin007 [14]

Answer: 288 feet

Step-by-step explanation:

Length of drawing = 12 inches

Actual length = 12 × (4/2)feet = 24 feet

Width if the drawing = 6 inches

Actual width = 6 × (4/2)feet = 12 feet

The area of the actual room will be gotten by multiplying the dimensions. This will be:

= 24 feet × 12 feet

= 288 feet

6 0
3 years ago
Find the length between (1, 3) and (5, 6)
ipn [44]

Answer:

5

Step-by-step explanation:

6 0
3 years ago
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h
mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed  = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere  =\frac{2}{3}\pi r^3

Volume of a Cylinder =\pi r^2 h

Therefore:

The Volume of the Solid formed

=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}

Area of the Hemisphere =2\pi r^2

Curved Surface Area of the Cylinder =2\pi rh

Total Surface Area=

2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh

Cost of the Hemispherical Ends  = 2 X  Cost of the surface area of the sides.

Therefore total Cost, C

=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh

Recall: h=\frac{4640}{\pi r^2}-\frac{4r}{3}

Therefore:

C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}

The minimum cost occurs at the point where the derivative equals zero.

C^{'}=\frac{-27840+32\pi r^3}{3r^2}

When \:C^{'}=0

-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518

Recall:

h=\frac{4640}{\pi r^2}-\frac{4r}{3}\\h=\frac{4640}{\pi*6.518^2}-\frac{4*6.518}{3}\\h=26.074 feet

Therefore, the dimensions that will minimize the cost are:

Radius =6.518 feet

Height = 26.074 feet

5 0
3 years ago
Which statement about the polynomial function g(x) is true?
yKpoI14uk [10]

When leading coefficient is 1 , the root will be an integer for g(x) = 0

Option 4 is the right answer.

<h3>What is a Polynomial Function ?</h3>

Functions of independent variable in which the variable can appear more than once with different powers.

\rm g(x) = a_n x^n + a_{n-1}x^{n-1} + ................+ a_o

Let this represents the polynomial function

where \rm a_n \; is\;the \;leading \; coefficient \; a_o \; is \;the\;last \;term

Then the according to rational root theorem ,

The root of the function is given by

\rm \dfrac{p}{q} = \dfrac{factor \;of\; the\; last\; term}{factor \;of \;the\; leading coefficient}

So when leading coefficient is 1 , the root will be an integer for g(x) = 0

Option 4 is the right answer.

To know more about Polynomial function

brainly.com/question/12976257

#SPJ1

6 0
2 years ago
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