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shtirl [24]
3 years ago
5

Expand. Your answer should be a polynomial in standard form. (-a+1) (5a+6)

Mathematics
2 answers:
Ivenika [448]3 years ago
7 0

Answer:

-5a^2 - a + 6

Step-by-step explanation:

Now, I don't know if you have memorized this very niche trick in Algebra. Don't tell anybody I told you this, as the CIA will chase me down for allegedly sharing higher intelligence, but you can easily expand equations by the method of FOIL (FIRSTS, OUTSIDES, INSIDES, LASTS). Using this method, we multiply -a and 5a, -a and 6, 5a and 1, and 1 and 6. Adding them all together, our expanded form is -5a^2 - 6a + 5a + 6. Adding like terms, our final polynomial is -5a^2 - a + 6.

Gennadij [26K]3 years ago
6 0
Your answer is -5a^2 - a + 6

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Mark made a business trip of 259.5 miles. He averaged 59mph for the first part of the trip and 57mph for the second part. If the
max2010maxim [7]

Answer:

Step-by-step explanation:

d = r * t

Let the time at 59 miles /  hour be t

59*t + 57* (4.5 - t) = 259.5              Remove the brackets

59*t + 256.5 - 57*t = 259.5            Combine the left

2t + 256.5 = 259.5                         Subtract 228 from both sides

2t = 259.5 - 256.5                          Combine

2t =  3                                              Divide by 2

t = 1.5

So he spent 1.5 hours going at 59 miles per hour

He spent 4.5 - 1.5 = 3 hours going 57 miles per hour.

                               

8 0
2 years ago
A quadratic equation is shown below:
sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

3x^{2}-11x+10=0 has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

\frac{d}{dx}(3x^{2}-11x+10)=6x-11

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}

6 0
3 years ago
28. Rewrite the Scientific Notation into expanded form (normal number).<br> 8.675309 x 10
Aleks [24]
86.75309 is the answer
3 0
3 years ago
5 x 10 to the 6th power is how many times larger than 5 x 10 to the 4th power. PLEASE RESPOND FAST
Alexandra [31]

Answer:

5 x 10 to the 6th power is 5,000,000

5 x 10 to the 4th power is 50,000

5,000,000 / 50,000 = 100

it is 100 times larger

Step-by-step explanation:

8 0
3 years ago
An equation is shown below: 8(2x – 14) + 13 = 4x – 27
Zolol [24]
8(2x-14)+13=4x-27
Use distribute property for the first one
16x-112+13=4x-27
16x-99=4x-27
12x=72
x=6. As a result, the value x is 6. Hope it help!
6 0
3 years ago
Read 2 more answers
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