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valkas [14]
2 years ago
14

I really need help and I have to show my work

Mathematics
1 answer:
Amanda [17]2 years ago
8 0
10 lbs/$12= 1 lb/x dollars.
If you rewrite it up and down and not slanted, it would be clearer to understand, but anyways, you cross multiply:
12*1=12 
12/10= 1.2
So the answer is 1.2, if you put it on that bubble sheet, put 1, then a decimal, after the decimal 2, and then all 0's,.

You might be interested in
A rectangle and a square have the same area. The width of the rectangle is 2 in less than the side of the square and the length
lina2011 [118]
The area of a rectangle is A=LW, the area of a square is A=S^2.

W=S-2 and L=2S-3

And we are told that the areas of each figure are the same.

S^2=LW, using L and W found above we have:

S^2=(2S-3)(S-2)  perform indicated multiplication on right side

S^2=2S^2-4S-3S+6  combine like terms on right side

S^2=2S^2-7S+6  subtract S^2 from both sides

S^2-7S+6=0  factor:

S^2-S-6S+6=0

S(S-1)-6(S-1)=0

(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:

S=6 is the only valid value for S.  Now we can find the dimensions of the rectangle...

W=S-2 and L=2S-3  given that S=6 in

W=4 in and L=9 in

So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.


5 0
3 years ago
The line tangent to the graph of g(x) = x^{3}-4x+1 at the point (2, 1) is given by the formula
Usimov [2.4K]

well, about A and D, I just plugged the values on the slope formula of

\bf \begin{array}{llll} g(x)=x^3-4x+1\\ L(x) = 8(x-2)+1 \end{array} \qquad \begin{cases} x_1=1.9\\ x_2=2.1 \end{cases}\implies \cfrac{f(b)-f(a)}{b-a}

for A the values are 8.01 and 8.0, so indeed those "slopes" are close. \textit{\huge \checkmark}

for D the values are -2.25 and 8.0, so no dice on that one.

for B, let's check the y-intercept for g(x), by setting x = 0, we end up g(0) = 0³-4(0)+1, which gives us g(0) = 1.

checking L(x) y-intercept, well, L(x) is in slope-intercept form, thus the +1 sticking out on the far right is the y-intercept, so, dice. \textit{\huge \checkmark}

for C, well, the slope if L(x) is 8, since it's in slope-intercept form, the derivative of g(x) is g'(x) = 3x² - 4, and thus g'(0) = -4, so no dice.

for E, do they intercept at (2,1)?  well, come on now, L(x) is a tangent line to g(x), so that's a must for a tangent. \textit{\huge \checkmark}

for F, we know the slope of the line L(x) is 8, is g'(2) = 8?  let's check

recall that g'(x) = 3x² - 4, so g'(2) = 3(2)² - 4, meaning g'(2) = 8, so, dice. \textit{\huge \checkmark}

6 0
3 years ago
Determine the value of x
Mekhanik [1.2K]

Answer:

2√2

Step-by-step explanation:

<u>By </u><u>using </u><u>trigonometry,</u>

sin 45° = x/4

x = 4sin 45°

x = 2√2

<u>By </u><u>using </u><u>Pythagorean</u><u> </u><u>theorem</u><u>,</u>

Since you know that it is an isosceles triangle and it's also a right-angled triangle,

4² = x² + x²

16 = 2x²

x² = 8

x = √8

= 2√2

6 0
3 years ago
What is the answer to: -|4| - 9 =??
Delvig [45]
-|4| - 9 =\\&#10;-4-9=\\&#10;-13
8 0
3 years ago
I really need help it looks simple but i have no clue please helpppp no links :((
Alexus [3.1K]

Answer:

420 in³

Step-by-step explanation:

14 x 10 x 3 = 420

5 0
3 years ago
Read 2 more answers
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