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viktelen [127]
2 years ago
11

3x

bsmiddle" class="latex-formula">
Mathematics
1 answer:
Licemer1 [7]2 years ago
3 0

The solution to the quadratic equation 3x² + 8x - 10 by using the quadratic formula is x = 0.927 or -3.594

<h3>Solving quadratic equations.</h3>

Quadratic equations are algebraic expressions that are represented in the power of the second degree. They usually take the form ax² + bx + c

From the given information, we are to solve the quadratic equation:

  • 3x² + 8x - 10

Using the quadratic formula:

\mathbf{=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}

where:

  • a = 3
  • b = + 8
  • c = - 10

\mathbf{= \dfrac{-(8)) \pm \sqrt{(8)^2 - 4(3 \times (-10))}}{2(3)}}

\mathbf{= \dfrac{-(8)) \pm \sqrt{64 -4 (-30)}}{6}}

\mathbf{= \dfrac{-(8)) \pm \sqrt{64+120}}{6}}

x = 0.927 or -3.594

Learn more about solving quadratic equations here:

brainly.com/question/8649555

#SPJ1

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If the null space of a 4 x 9 matrix is 5-dimensional, what is the dimension of the column space of the matrix? Explain your answ
Naily [24]

Answer : Dimension of column A is also be 4 whereas the two vector basis lie in R⁴.

The smallest possible dimension of Nul A would be zero.

Step-by-step explanation:

Since we have given that

A is matrix of 4 x 9 .

so, Number of rows = 4

Number of columns = 9

Nul A = 5

It means that Rank of A would be 9 - 5 =4

So, rank A = 4

Thus, dimension of column A is also be 4 whereas the four vector basis lie in R⁴.

So, dim Col A = 4

If A is 7 x  3 matrix.

So, we know that

rank A + dim (null A) = 3

so, it is possible to have rank A = 3 so the dim col A should be 3

Then the smallest possible dimension of Nul A would be zero.

7 0
3 years ago
If one honeybee makes 1 twelfth teaspoon of honey during its lifetime, how any honeybees are needed to make 1 half teaspoon of h
Oksana_A [137]
There are a fews ways you can set this problem up. Here is one way

So once honey bee can make 1 / 12 of honey  so we can say \frac{1}{12}x but the question at hand is how many honeybees are needed to make 1 half teaspoon of honey or we could say 6/12 teaspoon. SO know our problem looks like the following

\frac{1}{12}x = \frac{6}{12}

Now all we need to do is solve for x
\frac{1}{12}x = \frac{6}{12}
x = 6
So it would take 6 honeybees to make 1 half teaspoon of honey.
3 0
3 years ago
Urgent! Please help... The point (5, -6) is reflected over the x-axis. The coordinates of reflected point are (_______). A. (5,
Leya [2.2K]

the answer is A.(5,6)

hope it helps

plz. mark as brainliest

3 0
4 years ago
Maurice has made 13 litres of nutritious toothpaste soup which he plan to share equally between himself and his four best friend
Fantom [35]
Well, as a fraction, it would be 13/5 because 4 friends + him = 5. 13/5=2.6.
2.6 also equals 3/5. So the answer is 2.6 or 2 3/5.
Hope it helped
7 0
4 years ago
Quadrilateral ABCD ​ is inscribed in this circle.
Lelechka [254]

Answer:

m∠C = 122°

Step-by-step explanation:

Opposite angles of a quadrilateral inscribed in a circle are supplementary. This means

m∠A + m∠C = 180°

m∠B + m∠D = 180°

To find angle C we need to find x, then subtract m∠A from 180°

x+20=3x

20=2x

x=10

Now we substitute 10 in for x

m∠A=2(10)+38

m∠A=20+38

m∠A=58°

Now we subtract this value from 180.

m∠C=180-58

m∠C=122°

4 0
3 years ago
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