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3 years ago

Questions:

Mathematics

1 answer:

andre [41]3 years ago

8 0

Answer:

x = 72

Exterior angle = 154

Step-by-step explanation:

82 + x = 2x + 10

Subtract x from both sides

82 = x + 10

Subtract 10 from both sides

72 = x

Exterior Angle

2(72) + 10

154

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What is −n+(−4)−(−4n)+6

luda_lava [24]

Answer:

3n + 2

Step-by-step explanation:

3 0

3 years ago

What are the domain and range of the function f(x)= negative squared x+3 negative 2

gogolik [260]

Answer:

Domain = $R\ (\text{All real numbers})$
Range = $f\ \epsilon\ R\ :\ f\le -2}$

Step-by-step explanation:

The given function is,

$f\left(x\right)=-\left(x+3\right)^2-2$

f(x) is a quadratic function. As this is a polynomial function, so its domain is the entire real number set.

As its leading coefficient will be negative, so it will open downward. Hence, its range will be all real numbers below its vertex.

The general vertex form of quadratic function or parabola is,

$f(x)=a(x-h)^2+k$

where (h, k) is the vertex.

Comparing the given function with this we get the vertex at $(-3,-2)$

The y coordinate of the vertex is -2, so the range of the given quadratic function is,

$f\ \epsilon\ R\ :\ f\le -2}$

5 0

4 years ago

Which comparison is correct?

r-ruslan [8.4K]

Option B: $4.5 \times 10^{-6}>3.9 \times 10^{-9}$ is the correct answer.

Explanation:

Option A: $7.1 \times 10^{8}>1.2 \times 10^{9}$

Simplifying, we get,

$710000000>1200000000$

Since, the value of $1.2 \times 10^{9}$ is greater than $7.1 \times 10^{8}$ , the comparison $7.1 \times 10^{8}>1.2 \times 10^{9}$ is false.

Hence, Option A is not the correct answer.

Option B: $4.5 \times 10^{-6}>3.9 \times 10^{-9}$

Simplifying, we get,

$0.0000045>0.0000000039$

Since, the value of $4.5 \times 10^{-6}$ is greater than $3.9 \times 10^{-9}$ , the comparison $4.5 \times 10^{-6}>3.9 \times 10^{-9}$ is true.