The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $4500 to rent trucks plus an additional fee of $100.25 for each ton of sugar. The second company charges $3443 to rent trucks plus an additional fee of $175.72 for each ton of sugar

9514 1404 393

Answer:

  (x, y) = (-1, 5/2)

Step-by-step explanation:

The only variable with a coefficient that has a magnitude of 1 is x in the first equation. Using that equation, we can write an expression for x:

  x = 2y -6

This can be substituted for x in the second equation.

  (7/2)(2y -6) +7y = 14

  7y -21 +7y = 14 . . . . . . eliminate parentheses

  14y = 35 . . . . . . . . . . . add 21

  y = 35/14 = 5/2 . . . . . divide by the coefficient of y

  x = 2(5/2) -6 = -1

The solution is (x, y) = (-1, 5/2).

Answer:26

Step-by-step explanation:

a squared+b squared= the hypotenuse squared

Input

10 squared+24 squared=the hypotenuse squared

100+576=676 squared

Now we need to find the square route of 676 because this is the hypotenuse squared, and we need to find the hypotenuse. And the square route of 676 is 26.

Answer:

The answer is letter C.

I hope it help

Answer:

42 sq. Units

Step-by-step explanation:

I took the test

The area of the triangle shown below is B. 42 sq. units, the correct option is B.

The area of the triangle is defined as the product of half the base and the height of the triangle.

We are given the parameters are;

Length of its base = b units

Its height = h units long,

Then we get:

Area of a triangle = 1/2 b h

We are given that;

Base= 14, Height= 6

Now,

The area of a right triangle is given by:

Area = (1/2) * base * height

Substituting the values;

Area = (1/2) * 14 * 6

= 42 square units

Therefore, the area of triangle will be 42 sq. units.

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Answer:

6

Step-by-step explanation:

We are given the number 107.263.

Using place value, locate the hundredths place.

107.263

The number 6 is in the hundredths place.

Hope this helps.

Answer:

b.20

Step-by-step explanation:

brainliest please

Answer:

The answer is 20

Step-by-step explanation:

Answer:

y= -4x^2 + 15x - 14

Step-by-step explanation:

A parabola is always in the form y = ax^2 + bx + c.

Substitute each point to produce different equations:

-14 = 0a + 0b + c = c

so c = -14

-3 = a1^2 + b1 + c = a + b - 14

so a + b = 11

0 = a2^2 + b2 + c = 4a + 2b -14 = 0

so 4a + 2b = 14

if we double a + b = 11 we get 2a + 2b = 22

Subtract this from 4a + 2b = 14 and we get 2a = -8 so a= -4 and b = 11 - a = 15

We don't need to use the (3,5) points as we have all the information we need.

Answer:

y= -4x^2 + 15x - 14

Step-by-step explanation:

Answer:

x=4 y=8

Step-by-step explanation:

Answer:

[tex]x=2\sqrt{2}[/tex], [tex]x=-2\sqrt{2}[/tex], [tex]x=4i[/tex], [tex]x=-4i[/tex]

Step-by-step explanation:

[tex]x^4+11x^2=3x^2+128[/tex]

First, we subtract 128 from both sides:

[tex]x^4+11x^2-128=3x^2[/tex]

Then, we subtract [tex]3x^2[/tex] from both sides:

[tex]x^4+8x^2-128=0[/tex]

Rewrite the equation:

[tex]u^2+8u-128=0[/tex]

Insert and solve:

[tex]u^2+8u-128=0\\u=8,u=-16\\x^2=8:x=2\sqrt{2},x= -2\sqrt{2} \\x^2=-16:x=4i,x=-4i[/tex]

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Answer:

This graph is NOT a function.

Step-by-step explanation:

A graph is a function only if there is exactly one y-value for every x-value. In this case, there are many x-values that have two y-values, making this graph not a function.

Let me know if this helps!

Answer:

Step-by-step explanation:

Answer:

78.1 cm^2

Step-by-step explanation:

Pi r^2= area of circle

3.14 x 6^2= 113.1

b x h = area of rectangle

5 x7 =35

113.1 - 35= 78.1

Let x and y be the two numbers. Let's say that either x = y or x < y. To keep things relatively simple, we'll make both of these numbers positive.

We are told that they add to 50, so

x+y = 50

which solves to

y = 50-x

Their product is

x*y = x*(y) = x*(50-x) = 50x - x^2 = -x^2 + 50x

So the function

f(x) = -x^2 + 50x

will give us the product f(x) for the input x. Keep in mind that if we know what x is, then y = 50-x is used to find y.

The function f(x) graphs out a parabola that opens downward. Check out the diagram below. This means the very peak point of the parabola is what we're after. This is the vertex. At the vertex, we'll have f(x) maxed out as much as possible. This occurs at the point (25,625) meaning x = 25 and y = 50-x = 50-25 = 25 both multiply to x*y = 25*25 = 625, which is the largest possible product.

In short, this provides a visual means to confirm you have the correct answers for part b.

Answer:

Step-by-step explanation:

Given

Substitute h  and find the value of x:

Answer:

Distribute the 2 through to the (x-5)

Step-by-step explanation:

After that you get x by itself and stuff like that, but first is distributing.

Answer:

-13x^2+8x-3

Step-by-step explanation:

[tex](3x-5-7x^2)-(-2+6x^2-5x)\\3x-5-7x^2+2-6x^2+5x\\-13x^2 + 8x - 3[/tex]

Answer:

An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs

Step-by-step explanation:

In the problem and solution organization pattern, it is all about the ability to determine the problems affecting the organisation as well as proffer solutions on how to solve those problems. This would then lead to minimizing cost and maximizing profits. The example above which is about ideas on how to rescue endangered loggerhead turtle eggs is following same pattern.

Step-by-step explanation:

a)20.52 approximately

b) 36.9 approximately

c)5.49 approximately 5.5

d)14.9 approximately 15

Answer:

B

Step-by-step explanation:

there is a hole at -1, so -1 is less than x and x is greater than or equal to 4

The compound inequality shown on the graph is x < -1 and x≥4.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have the graph for the inequality.

The first part of the inequality is

x < -1

and, the second part of inequality x≥4

So, the compound inequality is x < -1 and x≥4.

Learn more about Inequality here:

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Answer:

B

Step-by-step explanation:

Answer:

B= <B

Step-by-step explanation:

The lines indicate the congruence, <G and <C both have the two lines

Answer:

[tex]since \: the \: three \: sides \: are \: not\: equal : \\ its \: a \to \:\underline{\boxed{scalene}} \\ line \: \overline{AB} = 2 \\ line \: \overline{AC}= 6 \\ line \: \overline{BC} = 2 \sqrt{10} [/tex]

Step-by-step explanation:

[tex]to \: prove \: this \to \: we \: will \: need \: to \: find \\ \: the \: lenghts \: of \: the \: sides \: of \: \\ this \: triangle \to \\ using \: the \: shortest \: distance \: between \: \\ two \: points \to \: d \: = \sqrt{( {x_2 -x_1) }^{2} + (y_2 - y_1)^{2} } \\ \\ \underline{ \boxed{\overline{AB}}} \\ line \: \overline{AB} \: has \: points \to: ( - 3, - 3) \: and \:( 3, 5) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +( 5 - 3))^{2} } \\ d = \sqrt{(0) + (4)} \\ d = \sqrt{4} \\ \boxed{ d = 2 = AB} \\ \\ \underline{ \boxed{\overline{AC}}} \\ line \: \overline{AC} \: has \: points \to: ( - 3, - 3) \: and \:( 5, - 1) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(0) + ( - 6) {}^{2} } \\ d = \sqrt{36} \\ \boxed{ d = 6 = AC} \\ \\ \underline{ \boxed{\overline{BC}}} \\ line \: \overline{BC} \: has \: points \to: ( 3, 5) \: and \:( 5, - 1) \\ d \: = \sqrt{ (5 - 3)^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(2) {}^{2} + ( - 6) {}^{2} } \\ d = \sqrt{40} \\ \boxed{ d =2 \sqrt{10} = BC} \\ its \: a \: scalene : since \: the \: three \: sides \: are \: not\: equal[/tex]

Answer:

x=16

Step-by-step explanation:

X + 1 by x = 99 find the value of 100x by 2x square + 102x + 2

1

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Answer:

[tex]a) \\(5x + 7) + (2x + 3) = 7x + 10 \\ b) \\ (5 x + 7) - (2x + 3) \\ = 5x + 7 - 2x - 3 \\ = 3x + 4[/tex]

Answer:

5a + 13

Step-by-step explanation:

3a + 7 + 2(3 + a)

3a + 7 + 6 + 2a

5a + 13