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grin007 [14]
3 years ago
13

19. (9x - 4)(x-6)

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0
:))))))))))))))))))))))

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Express the set -4x+21 ≤ 3x +14 using interval notation
KATRIN_1 [288]

Answer:

[1, ∞)

Step-by-step explanation:

1) Solve for x

-4x + 21 \leq 3x + 14

21 \leq 7x + 14

7 \leq 7x

1 \leq x

2) 1 is the lowest possible value of x and since it's a smaller or equal to inequality, you use a square bracket. If it was 1 < x, it would be a round bracket. Since there isn't a boundary for the highest value of x, you write an infinity. When you have an infinity, it's always a round bracket.

7 0
3 years ago
Read 2 more answers
A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E. There is a 10mi/h crosswind blowing due east
crimeas [40]

Answer:

Step-by-step explanation:

v = {[(20sin36°)i + (20cos36°)j] + 10i} mi/h

 

vE = 20sin36º + 10 = 21.76 mi/h

 

vN = 20cos36° = 16.18 mi/h

 

v = √(vE2 + vN2) = √(21.762 + 16.182) mi/h = 27.12 mi/h

 

θ = tan-1(vN/vE) = tan-1(16.18/21.76) = 36.6º north of east

3 0
3 years ago
The Martinez family is traveling to a play in Richmond. A round trip train ticket costs $8.00. Children under the age of 7 trave
tatuchka [14]

Answer: The Martinex family spent $ 82 for train ride and play tickets.

Step-by-step explanation:

Round trip train cost = $ 8.00

For children it cost $ 4.00.

For adult, ticket for play costs= $ 14.00

For children , ticket for play costs= $ 6.00

Mr. And Mrs. Martinez will go with their children, Ricky, Ramona, and Thomas.

2 adults and 3 children ( only one of them is under 7.)

For train we consider only 1 as child rest as adult.

Train cost =  4 x($ 8.00)+ 1 x ($ 4.00)

= $ 32+4 = $36

For play , total cost = 2 x ( $ 14.00) + 3 x ($6)

= $(28+18)

= $ 46

Total spending ( combined) =  $36+$ 46

= $82

So, the Martinex family spent $ 82 for train ride and play tickets.

8 0
3 years ago
What should be done to solve the following equation?
tiny-mole [99]
B. Add 8 to both sides
8 0
4 years ago
how can you use the sine and cosine ratios and their inverses in calculations involving right triangles
Marysya12 [62]

Answer:

Step-by-step explanation:

I will show you by example.  For the sin ratio, we have that the sin of the reference angle is equal to the side opposite the angle over the hypotenuse of the right triangle.  We use this example for finding the ratio, knowing the angle:

sin(60)=.866025 found on your calculator.  Because this is a special angle in a right triangle, we can also say, by looking at a 60 degree reference angle that the side across from the angle measures square root of 3, and the hypotenuse measures 2.  So in terms of a radical,

sin(60)=\frac{\sqrt{3} }{2}

If we don't know the angle, we use the 2nd button on our calculator to find it.  For example, if our problem looked like this:

sin\theta=\frac{1}{2},

we are asked what angle has a sin ratio of 1/2.  We find this angle by pressing the 2nd button on our calculator, then the sin button and you will see this on your screen:

sin^{-1}(

Enter either a .5 or a 1/2 after that open parenthesis and hit enter and you'll get the angle measure.  That's how you use the inverses to solve for missing angles.

3 0
4 years ago
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