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9966 [12]
3 years ago
7

Find the values for a and b that would make the equality true.

Mathematics
1 answer:
zepelin [54]3 years ago
8 0

Answer:

a = - 4, b = 5

Step-by-step explanation:

Expand the left side, then compare the coefficients of like terms.

- 3(2x² + ax + b)

= - 6x² - 3ax - 3b, compare to - 6x² + 12x - 15

Compare coefficients of x- terms

- 3a = 12 ( divide both sides by - 3 )

a = - 4

Compare constant terms

- 3b = - 15 ( divide both sides by - 3 )

b = 5

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Find the modulus and the unit vector along the sum of the vectors. - r₁ +r₂ +r3 given that r₁ = 2i+j+4k - r₂ = 3i-2j+7k, r3 = 5i
bazaltina [42]

j+8k

first -2i+j+4k-3i-2j+7k+5i+2j-3k

8 0
2 years ago
The x-intercepts of a quadratic function are −3 and 5. What is the equation of its axis of symmetry?
Reil [10]

Answer:

x = 1

Step-by-step explanation:

Remember that the axis of symmetry is exactly halfway between the x-intercepts.  Find the average of -3 and 5 to obtain this x-value:  It is:

                         -3 + 5

x - intercept = ------------  =  x = 1

                              2

4 0
3 years ago
How did astronomer Yi Xing (A.D. 683-727) contribute to the development of mathematics in china?
SSSSS [86.1K]

Answer:

Yi Xing invented the astronomical clock and introduced some new methods of interpolation in mathematics.

Step-by-step explanation:

Yi Xing was both an astronomer and a mathematician during the era. He invented the astronomical clock which was more accurate than the initial water and Sun's clock in use.

Furthermore, Yi Xing also discovered some new methods of interpolation in mathematics of which the meaning and interpretation became controversial. Interpolation is a method majorly in mathematics that can be used to estimate a value of a function from its discrete values. It involves first order differences and second order differences.

Also, Yi Xing was able to design a calendar in A.D. 727.

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%7B60" id="TexFormula1" title="\sqrt{60" alt="\sqrt{60" align="absmiddle" class="latex-
Citrus2011 [14]

Answer:

7 & 8

Step-by-step explanation:

\sqrt{60} = 7.7459666924148337703585307995648

Therefore, it lies between the whole numbers 7 & 8.

Hope this helps :)

3 0
3 years ago
What is the value of log 13? Use a calculator. Round your answer to the nearest tenth. 0.1 0.3 1.1 2.6
Kazeer [188]
A logarithm is defined as a power to which a number must be raused to in order to get another number. For example,
log_{2}(8) = 3
This is because
{2}^{3} = 8
So if we have
log(13) = x
We have to determine what number must 10 be raised to in order to give 13 so we have
log(13) = 1.11394 \\  {10}^{1.11394} = 13
8 0
3 years ago
Read 2 more answers
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