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3 years ago

The graph below represents which system of inequalities?

Mathematics

1 answer:

ozzi3 years ago

7 0

Answer:

Step-by-step explanation:

Both lines have a y-intercept of 3.

Both lines are solid and colored below, which means both inequalities have the symbol $\le$ .

One line has a positive slope, and one line has a negative slope.

The only answer that conforms to the above is a)

Answer: A

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Find all values of c such that 3^2c+1=28*3^c-9. If you find more than one value of c, then list your values in increasing order

avanturin [10]

$3^{2c} + 1 = 28\times3^c - 9 \implies 3^{2c} - 28\times3^c = -10$

Complete the square on the left side:

$3^{2c} - 28\times3^c = \left(3^{2c}-28\times3^c+14^2\right)-14^2 = \left(3^c-14\right)^2 - 196$

Then the equation becomes

$\left(3^c-14\right)^2 - 196 = -10 \\\\ \left(3^c-14\right)^2 = 186 \\\\ 3^c - 14 = \pm\sqrt{186} \\\\ 3^c = 14\pm\sqrt{186}$

Both 14 + √186 and 14 - √186 are positive numbers, so we can take the logarithm (base 3) of both sides without issue:

$\log_3\left(3^c) = c = \log_3\left(14\pm\sqrt{186}\right)$

Then in increasing order, the solutions are

c = log₃(14 - √186), c = log₃(14 + √186)

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3 years ago

Each section of a running trail is 3/4 mile. The trail has 3 sections. Which expression tells how many miles long the entire tra

allsm [11]

3/4*3=2.25 miles long trail
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3 years ago

Which symbol creates a true sentence when x equals 2? 6 • 8 – 2x _____ 6(5 + x) < > = ?

34kurt

48－4=44,in the left
6×7=42,in the right
44＞42,so ＞ is the answer

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3 years ago

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Need some help please what is the equation of the axis of symmetry?

zhannawk [14.2K]

Answer:

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3 years ago

John is considering accepting one of two sales positions. ABC Company offers a yearly salary of $45,000. XYZ Company offers a ye

KATRIN_1 [288]

Answer: Amount of sales s = $6240 is the salary at ABC company is greater than at XYZ company.

Step-by-step explanation:

Since we have given that

Annual salary of ABC company = $45000

Annual salary of XYZ company = $38000

Rate of commission = 2%

Amount of salary after commission at XYZ company would be

$\dfrac{100+2}{100}\times 38000\\\\=\dfrac{102}{100}\times 38000\\\\=1.02\times 38000\\\\=38760$

So, Difference between is given by

$45000-38760\\\\=\$6240$

Hence, Amount of sales s = $6240 is the salary at ABC company is greater than at XYZ company.

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4 years ago