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2 years ago

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Jorge is building a table out of boards that are 3.75 inches wide. He wants the table to be at least 36 inches wide. What is the

least number of boards he can use?

1 answer:

satela [25.4K]2 years ago

6 0

9 will be the least number of boards to use because if you use anymore that it will be over 36 inches wide. 36 divide by 3.75 is 9.6

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Ann is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.

ipn [44]

Answer:

Ans: greater than 40 mileage Company A will charge less than Company B

Step-by-step explanation:

as company A charges a fix amount $93 for any distance and company B charges variable amount starting from $65.there will be a certain mileage after that the amount charged by company B should be greater than company A.

let for greater than m mileage company A will

charge less than company B.

charge for company A for m mileage= $93

charge for company B for m mileage= $65 + $0.70*m

so,

93 ≤ 65+0.70*m

93-65 ≤ 65+0.70*m -65

28 ≤ 0.70*m

28*10 ≤ 7 *m

280 ≤ 7m

280/7 ≤ 7m/7

40 ≤ m

4 0

2 years ago

Read 2 more answers

Consider the parabola given by the equation: f(x) = 4x² - 6x - 8 Find the following for this parabola: A) The vertex: Preview B)

jeyben [28]

Answer:

The vertex: $(\frac{3}{4},-\frac{41}{4} )$

The vertical intercept is: $y=-8$

The coordinates of the two intercepts of the parabola are $(\frac{3+\sqrt{41} }{4} , 0)$ and $(\frac{3-\sqrt{41} }{4} , 0)$

Step-by-step explanation:

To find the vertex of the parabola $4x^2-6x-8$ you need to:

1. Find the coefficients <em>a</em>, <em>b</em>, and <em>c </em>of the parabola equation

<em> $a=4, b=-6, \:and \:c=-8$ </em>

2. You can apply this formula to find x-coordinate of the vertex

$x=-\frac{b}{2a}$ , so

$x=-\frac{-6}{2\cdot 4}\\x=\frac{3}{4}$

3. To find the y-coordinate of the vertex you use the parabola equation and x-coordinate of the vertex ( $f(-\frac{b}{2a})=a(-\frac{b}{2a})^2+b(-\frac{b}{2a})+c$ )

$f(-\frac{b}{2a})=a(-\frac{b}{2a})^2+b(-\frac{b}{2a})+c\\f(\frac{3}{4})=4\cdot (\frac{3}{4})^2-6\cdot (\frac{3}{4})-8\\y=\frac{-41}{4}$

To find the vertical intercept you need to evaluate x = 0 into the parabola equation

$f(x)=4x^2-6x-8\\f(0)=4(0)^2-6\cdot 0-0\\f(0)=-8$

To find the coordinates of the two intercepts of the parabola you need to solve the parabola by completing the square

$\mathrm{Add\:}8\mathrm{\:to\:both\:sides}$

$x^2-6x-8+8=0+8$

$\mathrm{Simplify}$

$4x^2-6x=8$

$\mathrm{Divide\:both\:sides\:by\:}4$

$\frac{4x^2-6x}{4}=\frac{8}{4}\\x^2-\frac{3x}{2}=2$

$\mathrm{Write\:equation\:in\:the\:form:\:\:}x^2+2ax+a^2=\left(x+a\right)^2$

$x^2-\frac{3x}{2}+\left(-\frac{3}{4}\right)^2=2+\left(-\frac{3}{4}\right)^2\\x^2-\frac{3x}{2}+\left(-\frac{3}{4}\right)^2=\frac{41}{16}$

$\left(x-\frac{3}{4}\right)^2=\frac{41}{16}$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

$x_1=\frac{\sqrt{41}+3}{4},\:x_2=\frac{-\sqrt{41}+3}{4}$

4 0

2 years ago

How many boxes of of candy would you use if you had 80 pieces of candy

Aleksandr-060686 [28]

Answer:2

Step-by-step explanation:

Add

5 0

2 years ago

What property justify <br>if <1 = <2 and <2 = <3 then <1 = <3

krek1111 [17]

Answer:

That will be the Transitive Property

Step-by-step explanation:

6 0

2 years ago

Kyleigh put a large rectangular sticker on her notebook. The height of the sticker measures 12 centimeters. The base is half as

saul85 [17]

Height = 12 cm
Base/width —> half of height —> 12/2 = 6 cm

Area = length x width
Area —> 12x6 = 72

The sticker covers 72 cm of the notebook.

8 0

2 years ago