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tatuchka [14]
3 years ago
10

What is the product of 2r2 - 5 and 3r

Mathematics
1 answer:
faust18 [17]3 years ago
8 0

Answer: 6r^3 - 15r

Step-by-step explanation:

(3r) (2r^2 - 5)

Distribute.

6r^3 - 15r

Hope this helped.

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Find the y intercepts of 3x^2+24x-51. quadratic formula
julia-pushkina [17]
  • Quadratic Formula: x=\frac{-b\pm \sqrt{b^2-4ac}}{2a} , with a = x^2 coefficient, b = x coefficient, and c = constant.

Firstly, starting with the y-intercept. To find the y-intercept, set the x variable to zero and solve as such:

y=3*0^2+24*0-51\\y=0+0-51\\y=-51

<u>Your y-intercept is (0,-51).</u>

Next, using our equation plug the appropriate values into the quadratic formula:

x=\frac{-24\pm \sqrt{24^2-4*3*(-54)}}{2*3}

Next, solve the multiplications and exponent:

x=\frac{-24\pm \sqrt{576-(-648)}}{6}\\\\x=\frac{-24\pm \sqrt{576+648}}{6}

Next, solve the addition:

x=\frac{-24\pm \sqrt{1224}}{6}

Now, simplify the radical using the product rule of radicals as such:

  • Product Rule of Radicals: √ab = √a × √b

√1224 = √12 × √102 = √2 × √6 × √6 × √17 = 6 × √2 × √17 = 6√34

x=\frac{-24\pm 6\sqrt{34}}{6}

Next, divide:

x=-4\pm \sqrt{34}

<u>The exact values of your x-intercepts are (-4 + √34, 0) and (-4 - √34, 0).</u>

Now to find the approximate values, solve this twice: once with the + symbol and once with the - symbol:

x=-4+ \sqrt{34},-4- \sqrt{34}\\x\approx 1.83, -9.83

<u>The approximate values of your x-intercepts (rounded to the hundredths) are (1.83,0) and (-9.83,0).</u>

5 0
4 years ago
The math department is putting together an order for new calculators. The
BabaBlast [244]

Required data table is attached below :

Answer:

D. The fewest students prefer black Model A1 calculators.

Step-by-step explanation:

From the data Given :

Larger proportion of students prefer White calculators(0.65) to black calculators (0.35)

Also, Fewer proportion of students like black model C3 (0.20) than white model A1 (0.40)

Also, the proportion of students who like model C3 calculators(0.30) are fewer than those who prefer the model A1 (0.45)

Therefore, the true inference which can be derived from the data is, the least preferred calculator is the Black model A1 calculator with a proportion of 0.05

3 0
3 years ago
AC=(5x+12) and BD =8x? Can somebody help me to slove it
AleksAgata [21]
To solve this equation from the information given above, I ordered it 5x+12=8x. To solve, I subtracted 5x from each side, canceling the 5x to your left, leaving only the number 12. 8x minus 5x equals 3x. Take 3x and divide on both sides. 3x/3x cancels the 3, leaving 12/3 equals 4. Finally, x equals 4.
3 0
3 years ago
What is x-10 when x=11
Romashka-Z-Leto [24]

Answer:

1

Step-by-step explanation:

Because once you know the unknown you can plug it into the equation so now its 11-10 which equals 1

8 0
3 years ago
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Approximate height of tower the person is
Slav-nsk [51]
Will you please provide more information and state a clear question
3 0
3 years ago
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