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kolbaska11 [484]
2 years ago
13

Choose the pair(s) of integers that can be substituted into the equation ax2 - 6x + c = 0 so that it has two real solutions.

Mathematics
1 answer:
Maksim231197 [3]2 years ago
4 0

The options are not provided, but method is stated below

Answer:

Quadratic equation ax2 - 6x + c = 0

options would be given for a and c

  1. substitute a and c
  2. check for Discriminant
  3.  b^2 - 4ac \geq  0
  4. 36 -4ac \geq 0

These conditions will fetch us the result required among the options.

Note : the \geq sign will give us the result for Two real unequal solutions and two real equal solutions.  If we only need Real unequal solutions we only use > sign instead of \geq

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Consider the following rational numbers -5.1 -5 1/3 -5 -5 3/5 list them in order from least to greatest
jok3333 [9.3K]

Answer:

-5.6, -5.3, -5.1, -5.

Step-by-step explanation:

Convert the first fraction to a decimal.

-5 1/3 is equal to -5.3333333333

Round to the nearest tenth.

-5.3333333333 rounded to the nearest tenth is -5.3.

<em>-5 1/3 = -5.3.</em>

<em />

Convert the second fraction to a decimal.

-5 3/5 is equal to -5.6.

The fraction is already rounded, so that's all for the second one.

<em>-5 3/5 = -5.6.</em>

<em />

The new set of numbers we have include -5.1, -5.3, -5, and -5.6.

We can now sort from least to greatest.

The first number is -5.6.

The second number is -5.3.

The third number is -5.1.

The fourth number is -5.

Listing the numbers -5.1, -5.3, -5, and -5.6 from least to greatest would result in -5.6, -5.3, -5.1, and finally -5.

3 0
2 years ago
On a storage warehouse, each container weighs 6^3 pounds. If there are 3 containers, how much do the crates weigh in total ?
PtichkaEL [24]

Answer: 72 pounds


Step-by-step explanation:

Basically (6*6*6) = 216

                            --------

                                3

                             = 72

5 0
3 years ago
Read 2 more answers
Please help! Consider the given circle with the shaded sector xy and central angle 225. The circumference is 30 units
OleMash [197]

\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=30\pi \end{cases}\implies 30\pi =2\pi r\implies \cfrac{30\pi }{2\pi }=r\implies \boxed{15=r} \\\\[-0.35em] ~\dotfill

\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=15\\ \theta =225 \end{cases}\implies \widehat{XY}=\cfrac{(225)\pi (15)}{180}\implies \boxed{\widehat{XY}\approx 58.90} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (15)^2\implies A=225\pi \implies \boxed{A\approx 706.86}

6 0
2 years ago
Equiangular Triangles can only have acute angles. True or false?
Vinil7 [7]

Answer: The answer is true :)

4 0
3 years ago
How many lbs. of mixed nuts that contain
irina [24]

-Answer:

4 lbs of 37% mixed   nuts

Step-by-step explanation:

\frac{\left(17+.37x\right)}{17+x}\:=\:.88

x = 4

6 0
3 years ago
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