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3 years ago

Which algebraic expression represents the following phrase?

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

4 0

Answer:

(m + 7)^2

Step-by-step explanation:

The SQUARE of (The SUM of m and 7)

Let us try (The SUM of m and 7) first

(m + 7)

then try the square

(m + 7)^2

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Look at the diagram. Which two shapes are congruent?

lys-0071 [83]

Answer:

A and F

Step-by-step explanation:

They have just been angle slightly different.

Hope this helps!!!

4 0

4 years ago

Read 2 more answers

Help me please??? I don’t know how to get started!

Sliva [168]

A differentiable function $f(x)$ is increasing on an open interval $(a,b)$ if $f'(x)>0$ for all $a$ , and decreasing if $f'(x)$ . For this problem, you then need to compute the derivative:

$f(x)=x^2\ln x\implies f'(x)=2x\ln x+x=(2\ln x+1)x$

then solve for $f'(x)=0$ :

$(2\ln x+1)x=0\implies x=0\text{ or }x=e^{-1/2}$

We can ignore $x=0$ because $x^2\ln x$ is defined only for $x>0$ . So we have two intervals to consider, $(0,e^{-1/2})$ and $(e^{-1/2},\infty)$ . All we need to do is pick any value from either interval and check the sign of the derivative $f'(x)$ . Since $e^{-1/2}\approx0.606$ , from the first interval we can take $x=\dfrac12$ , and from the second we can pick $x=1$ .

$f'\left(\dfrac12\right)\approx-0.193$

$f'(1)=1>0$

The above indicates that $f(x)$ is decreasing on the first interval $(0,e^{-1/2})$ , and increasing on the second interval $(e^{-1/2},\infty)$ .

For part (b), we use the info from above as part of the first derivative test for extrema. We have one critical point at $x=e^{-1/2}$ , and we know how $f(x)$ behaves to either side of this point; $f(x)$ decreases to left of it, and increases to the right. This pattern is indicative of a minimum occurring at $x=e^{-1/2}$ , and we find that $f(x)$ has the (local) minimum value of $f(e^{-1/2})=-\dfrac1{2e}\approx-0.184$ .

8 0

3 years ago

What equation has infinite solutions

iVinArrow [24]

Answer:

4(x+2) = 4x + 8

Step-by-step explanation:

because if they are multiplied out it would be 4x+8 = 4x + 8 which means it is infinite because both sides are equal

6 0

3 years ago

Read 2 more answers

From a hot-air balloon, Enola measures a 22 degrees angle of depression to a landmark that’s 310 feet away, measuring horizontal

vodka [1.7K]

Answer:

125.25 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right trianlge in which the side adjacent to the angle is 310 ft, and the side opposite the angle is the one we want to find. The relevant trig relation is ...

Tan = Opposite/Adjacent

Solving for the Opposite side (the height of the balloon), we find ...

Opposite = Adjacent · Tan

height = (310 ft)·tan(22°) ≈ 125.25 ft

Enola's balloon is about 125.25 ft above the ground.

_____

Additional comment

If we assume Enola's angle measurement can have a possible error of ±0.5°, then the corresponding error in the balloon height is more than ±3 ft. It is a bit of nonsense to report the height to the nearest 0.12 inches, (0.01 ft).

5 0

3 years ago

Find the missing number: 8.4(1.5 + 2.3) = 12.6 +

irina1246 [14]

Answer:

19.32

Step-by-step explanation:

To find the missing number, we need to solve for the total of the left side of the equation.

Total = 8.4(1.5 + 2.3)

Total = 8.4(3.8)

Total = 31.92

Now we subtract the total to the only value on the right side.

Missing number = 31.9-12.6

Missing number = 19.32

8.4(1.5+2.3) = 12.6 + 19.32

6 0

3 years ago