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3 years ago

Detailed answers appreciated: (7a -4) (2a -5)

2 answers:

5 0

Expand the expression?

Perform indicated multiplication:

7a(2a)+7a(-5)-4(2a)-4(-5)

14a^2-35a-8a+20 combine like terms, ie (-35a-8a)=-43a

14a^2-43a+20

lana66690 [7]3 years ago

5 0

1. Us the FOIL method: (a + b)(c + d) = ac + ad + bc + bd:
14a^2 - 35a - 8a + 20
2. Collect like terms:
14a^2 + (-35a - 8a) + 20
3. Simplify:
14a^2 - 43a + 20

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The minimum point of the graph y = 2x^2 + 2x +1 is located at:

slega [8]

Answer:

Step-by-step explanation:

By completing the square, y = 2x^2 + 2x +1 will be y=2(x+1/2)^2+(1/2) the minimum point is the vertex of the parabola which is (-1/2, 1/2)

8 0

3 years ago

Solve: −4b+4b≥6(−5b+7)−3(b+3)

Mariana [72]

Answer:

Inequality Form:

b ≥ 1

Interval Notation:

[1,∞)

Step-by-step explanation:

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2 years ago

what is perpendicular to y= 3x -9 and passes through the point (3,1)

GREYUIT [131]

$(3,1) , \ \ y= 3x -9 \\ \\ The \ slope \ is :m _{1} =3 \\ \\ If \ m_{1} \ and \ m _{2} \ are \ the \ gradients \ of \ two \ perpendicular \\ \\ lines \ we \ have \ m _{1} \cdot m _{2} = -1 \\ \\3\cdot m_{2}=-1 \ \ /:3\\ \\ m_{2}=-\frac{1}{3}$

$\Now \ your \ equation \ of \ line \ passing \ through \ (3,1) would \ be: \\ \\ y=m_{2}x+b \\ \\1=-\frac{1}{ 3} \cdot3 + b$

$1=-1+b\\ \\ b=1+1\\ \\b=2 \\ \\ y =- \frac{1}{3}x+2$

6 0

3 years ago

PLEASE HELP<br><br> Find the surface area of the triangular prism.

ASHA 777 [7]

Answer:

139

Step-by-step explanation:

First, find all the faces that you must find the areas of. In this case, you need to find the areas of two triangles and three rectangles.

In this triangular prism, the base is one triangle. If the area of the base is 7.75, we can assume that that holds true for both bases, and multiply 7.75 by 2 in order to find the area of both triangles.

Now find the area of each of the three rectangles by multiplying their individual heights and bases by each other. You should get 38, 47.5, and 38 as the areas of the rectangles.

Now add all the individual area's together. (They're bolded for clarity).

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3 years ago

The URS construction company has submitted two bids, one to build a large hotel in London and the other to build a commercial o

topjm [15]

Answer: Our required probability is 0.55.

Step-by-step explanation:

Since we have given that

Probability that chance of winning the hotel bid = 40%

Probability that no chance of winning the hotel bid = 100-40=60%

Probability that chance of winning the office building bid = 25%

Probability that no chance of winning the office building bid = 100-25 = 75%

So, Probability that the company will win at least one contract is given by

$0.4\times 0.75+0.6\times 0.25+0.4\times 0.25\\\\=0.55$

Hence, our required probability is 0.55.

5 0

3 years ago