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Helga [31]
2 years ago
8

Answer this and add work, show all work for math. :P

Mathematics
2 answers:
Andreyy892 years ago
8 0
Lines are in the form y=mx+b, where m is the slope and b is the y-intercept.  This line is thus y=9/4x-14, so C is correct.  Multiplying by four, we get 4y=9x-56.  Adding 56 and subtracting 4y, we see that 9x-4y=56, and multiplying by -1, we get 4y-9x=-56, so A is also correct.  At this point, it is clear that B and D are incorrect, so A and C only are correct.
balandron [24]2 years ago
4 0

You know that you can spot the slope and intercept right away
IF you 'solve' the equation for 'y'.  Then you'll have

                                y = (slope) x  +  (intercept) .

So for choices 'A' and 'B', you have to massage the equation
into the standard form, and then just look at it and see whether
the slope is 9/4 and the intercept is -14.

A).                             -9x + 4y  =         -56

Add 9x to each side:        4y = 9x    - 56

Divide each side by 4 :     y = 9/4 x - 14            <== Yes !  Good one.


B).                                       9x + 4y =            56

Subtract  9x from each side:   4y = -9x   + 56

Divide each side by  4 :             y = -9/4 + 14   <= no, signs are wrong


C).  Yes.  Slope is 9/4 and intercept is -14 . 


D).  No.  Slope is 9/4 alright, but intercept is +14, not -14 .

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Delta Math! Please help.
vodka [1.7K]

Answer:

x = 1.5\sqrt{3}

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin60° = \frac{\sqrt{3} }{2} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{x}{3} = \frac{\sqrt{3} }{2} ( cross- multiply )

2x = 3\sqrt{3} ( divide both sides by 2 )

x = 1.5\sqrt{3}

6 0
2 years ago
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ivann1987 [24]
$5.71

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3 0
2 years ago
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Fiona Follies is a small bakery that sells cupcakes and muffins. A cupcake sells for $3 and a muffin sells for $2. When all rela
Elan Coil [88]

Note that fiona cannot sell decimal number of cupcakes or muffins. That's why the options A and D are false.

Consider all remaining options:

B. 40 cupcakes and 80 muffins will cost $(40·3+80·2)=$(120+160)=$280, but Fiona Follies sold at least $300 worth of cupcakes and muffins. Thus, this option is false.

C. 60 cupcakes and 70 muffins will cost $(60·3+70·2)=$(180+140)=$320. Now consider expenses. $(60·0.75+70·0.5)=$(45+35)=$80. This option is true.

E.  80 cupcakes and 80 muffins will cost $(80·3+80·2)=$(240+160)=$400. Now consider expenses. $(80·0.75+80·0.5)=$(60+40)=$100 (exactly $100). This option is true.

Answer: correct options are C and E.

4 0
3 years ago
Whats the minimum and maximum value of f(x)=3(x+8)^2−10
gizmo_the_mogwai [7]

Answer:

(-8,-10)

Step-by-step explanation:

Rewrite (x+8)2(x+8)² as (x+8)(x+8).

f(x)=3((x+8)(x+8))−10

Expand (x+8) (x+8) using the FOIL Method.

Apply the distributive property.

f(x)=3(x(x+8)+8(x+8))−10

Apply the distributive property.

f(x)=3(x⋅x+x⋅8+8(x+8))−10
Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply x by x.

f(x)=3(x2+x⋅8+8x+8⋅8)−10

Move 8 to the left of x.

f(x)=3(x2+8⋅x+8x+8⋅8)−10

Multiply 8 by 8.

f(x)=3(x2+8x+8x+64)−10

Add 8x and 8x.

f(x)=3(x2+16x+64)−10

Apply the distributive property.

f(x)=3x2+3(16x)+3⋅64−10

Simplify.

Multiply 16 by 3.

f(x)=3x2+48x+3⋅64−10

Multiply 3 by 64.

f(x)=3x2+48x+192−10

Subtract 10 from 192.

f(x)=3x2+48x+182

The minimum of a quadratic function occurs at x=-\frac{b}{2a} If a is positive, the minimum value of the function is f (-\frac{b}{2a}).

Substitute in the values of aa and b.

x=−\frac{48}{2(3)}

x=-8

Replace the variable x with −8 in the expression.

f(−8)=3(−8)2+48(−8)+182

Y=-10

Therefore, the minimum value is (-8,-10) but if it is asking for just the y-value it would be -10.

7 0
2 years ago
Math help please? &lt;3 Last 2 questions
marysya [2.9K]
(2,-4) hope this helps
8 0
2 years ago
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