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kkurt [141]
3 years ago
9

You are making a fruit salad for a family dinner and only have $32 to spend making it. Grapes(x) cost $4 per pound and watermelo

n(y) cost $2 per pound.
Model the problem situation with a linear inequality.
Mathematics
1 answer:
Archy [21]3 years ago
8 0

Answer:

this is easy. you just need to write and equation that shows how many pounds of each fruit you can buy in total (x for 1 pound of grapes and y for 1 pound of watermelon). this would make the equation 32 = 4x + 2x.

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4. Maggie carried 3 bags of groceries in from the grocery store. • The first bag weighed 4 5/12pounds. • The second bag weighed
Yuliya22 [10]

Answer:

1 1/3 I think

Step-by-step explanation:

Hope I helped :D

6 0
3 years ago
Verify this cofunction identity by using the difference identity for cosine. Show your work! cos⁡(π/2-θ)=sinθ
taurus [48]
Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ

π/2 = 90°
cos(π/2) = cos90° = 0.        sin(π/2) = sin90° = 1

cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
                   = 0*cosθ + 1*sin<span>θ  = </span>sin<span>θ

Therefore  </span>cos(π/2 - θ) = sin<span>θ
 
QED   </span>
8 0
3 years ago
True or false: the equation tan^2x+1=sec^2x
zhenek [66]

ANSWER

True

EXPLANATION

The given trigonometric equation is:

{ \tan}^{2} x + 1 = { \sec}^{2} x

We take the LHS and simplify to arrive at the RHS.

{ \tan}^{2} x + 1 =  \frac{{ \sin}^{2} x}{{ \cos}^{2} x}  + 1

Collect LCM on the right hand side to get;

{ \tan}^{2} x + 1 =  \frac{{ \sin}^{2} x + {\cos}^{2} x}{{ \cos}^{2} x}

This implies that

{ \tan}^{2} x + 1 =  \frac{1}{{ \cos}^{2} x} .

{ \tan}^{2} x + 1 =  {( \frac{1}{ \cos(x) }) }^{2}

{ \tan}^{2} x + 1 =  { \sec}^{2} x

This identity has been verified .Therefore the correct answer is true.

3 0
2 years ago
Please help, thank you​
Aleksandr [31]

Answer:

-5

Step-by-step explanation:

  • \frac{-5^5}{(-5)^2 (-5)^2}
  • \frac{-3125}{(-5)^2 (-5)^2}
  • \frac{-3125}{25(-5)^2}
  • \frac{-3125}{(25)(25)}
  • \frac{-3125}{625}
  • -5
5 0
3 years ago
Read 2 more answers
A packet of sweets contains only blue and red sweets the ratio of blue to red sweets in a packet is 2:1 if there are 12 sweets i
storchak [24]
4.
Ratio of blue = 1
Total ratio = 3

1/3 x 12 = 4
8 0
3 years ago
Read 2 more answers
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