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ozzi
3 years ago
14

Is the lowest two integers of 24

Mathematics
1 answer:
spayn [35]3 years ago
6 0
The lowest integers would be 3 and 2
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For the function f ( x ) = − 2 x + 3 , evaluate and simplify the difference quotient.
aev [14]

Answer:

fraction x-3/2 is your answer for Sure

Step-by-step explanation:

y=-2x+3

x=2y+3

x-3=2y

x-3/2=y

6 0
3 years ago
Write an equation for the function
Mila [183]

Answer:

  m(u) = -0.25(u +2)² +1    or    -0.25u² -u

Step-by-step explanation:

The equation is fairly easily written in vertex form, as the vertex point is on a grid line intersection at (-2, 1). The parabola opens downward, so the scale factor is negative.

The vertical change from the vertex is only a fraction of a unit when u differs from the vertex by 1. It is 1 unit when u differs from the vertex by 2, so the magnitude of the vertical scale factor is 1/2² = 1/4.

Our equation will be of the form ...

  m(u) = (vertical scale factor)(u - (horizontal vertex location))² + (vertical vertex location)

For this graph, the equation is ...

  m(u) = -0.25(u +2)² +1

or, simplifying, we get ...

  m(u) = -0.25u² -u

8 0
4 years ago
An observer in tower A sees a boat 1538 yd away at an angle of depression of 35°. To the nearest yard, how far is the boat away
Thepotemich [5.8K]
From my own solution, my answer is closest to D<span>. 1951 yd; 27°
</span><span>
The boat is 1951 yards away from the observer in tower B. The angle of depression to the boat from Tower B is 27</span>°.<span>

Pls. see my attachment. 

In it I divided the big triangle into two small right triangles. 
I solved for the common leg of the right triangles by using sin theta formula. sin </span>θ = opposite / hypotenuse
<span>
sin 35</span>° = opposite / 1538 yd
<span>sin 35</span>° * 1538 yd = opposite
<span>882.16 yd = opposite

From there, I used the Pythagorean theorem to solve for the missing side which is part of the 3,000 yd measure.

I got the measure of 1,259.86 yards. The remaining measure of 1,740.14 is the side of the other right triangle. 

Still using Pythagorean Theorem, I used the measurement of the known side of the 2nd right triangle to solve for its hypotenuse which was 1,950.97 or 1,951 yards.

With regards to the angle of depression, I used this formula:

tan(y) = opposite / adjacent
tan(y) = 1538 yd / 3000 yd
tan(y) = 0.513
y = 0.513/tan
y = 27.14</span>°<span>

</span>

8 0
4 years ago
A box of oat cereal costs $3.90 for 15 ounces. A box of rice of cereal costs $3.30 for 11 ounces. Which box of cereal costs less
Firlakuza [10]

Answer:

The cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.

Step-by-step explanation:

Given:

Cost of 15 ounces of oat cereal box = $3.90

Cost of 11 ounces of rice box = $3.30

To compare the unit prices of the the boxes.

Solution:

Using unitary method to find the unit prices:

If 15 ounce of oat box cost =$3.90

∴ 1 ounce of oat cereal would cost = \$\frac{3.90}{15}=\$0.26

∴ Per ounce cost of oat cereal = $0.26

If 11 ounce of rice box cost =$3.30

∴ 1 ounce of rice would cost = \$\frac{3.30}{11}=\$0.3

∴ Per ounce cost of rice = $0.3

Difference in unit costs of oat and rice = \$0.3-\$0.26=\$0.04

On comparing the the unit costs of oats and rice, we find out that the cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.

3 0
4 years ago
The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?
Phantasy [73]

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: ( − ∞ , ∞ ) , { x | x ∈ R }

Range: ( − ∞ , 16 ] , { y | y ≤ 16 }

3 0
3 years ago
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