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3 years ago

What is this, (2r-1)(r-1)? I'm so confused.

Mathematics

2 answers:

kondaur [170]3 years ago

5 0

(2r-1)(r-1)
=2r(r-1) -1(r-1)
= 2r^2-2r-r+1
=2r^2-3r+1

11Alexandr11 [23.1K]3 years ago

4 0

Answer:

It looks like the factored form of a polynomial

Step-by-step explanation:

In unfactored form, it would be this:

2r^2 + -2r + 1

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Reuben is putting money into a savings account. He starts with $350 in the savings account, and each week he adds $60.

Pie

Answer: The equation is <em>s</em> = 350 + 60<em>s</em>, and given this equation, we can determine that the total savings after eleven weeks is $1,010.

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2 years ago

A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 2x + 10 and EC = 4x − 18, find the distance betwee

Serjik [45]

Distance between the top and bottom of the bridge is 76 feet

Solution:

The image of the question is attached below.

Ratio of the triangles is 1 : 1.

AC = 2x + 10 and EC = 4x − 18.

Since the two triangles ACB and DCE are in the ratio 1 : 1, so their corresponding sides are also in the ratio 1 : 1.

Therefore sides AC and EC are corresponding to each other.

AC : EC = 1 : 1

$$\Rightarrow \frac{A C}{E C}=\frac{1}{1}$

$\Rightarrow A C=E C$

$\Rightarrow 2 x+10=4 x-18$

Subtract 10 from both sides of the equation.

$\Rightarrow 2 x=4 x-28$

Subtract 4x from both sides of the equation.

$\Rightarrow -2 x=-28$

Divide by -2 on both sides, we get

⇒ x = 14

Distance between the top and bottom of the bridge is EA.

EA = AC + EC

= 2x + 10 + 4x - 18

= 6x - 8

= 6(14) - 8

= 84 - 8

EA = 76 feet

Distance between the top and bottom of the bridge is 76 feet.

3 0

3 years ago

Let a, b, c, and d be nonzero real numbers. If the quadratic equation ax (cx + d) = –b (cx + d) is solved for x, which of the fo

gayaneshka [121]

Answer:

$x_1=-\frac{b}a,x_2=-\frac{d}c$

Step-by-step explanation:

Solving for x:

$ax(cx + d) =-b(cx +d)\\ax(cx + d)+b(cx+d)=0\\(ax+b)(cx+d)=0$

In this form is easy to identify the factors of the quadratic function: $(ax+b)(cx+d)$ . The two solutions are the values that make each of the factors equals to zero.

$ax_1+b=0\\ax_1=-b\\x_1=-\frac{b}a\\cx_2+d=0\\cx_2=-d\\x_2=-\frac{d}c$

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4 years ago

What is the sum of the geometric sequence -4, 24, -144, if there are 6 terms

Ksenya-84 [330]

Answer:

The sum is $26,660$

Step-by-step explanation:

we know that

The formula of the sum in a geometric sequence is equal to

$S=a1[\frac{1-r^{n}}{1-r}]$

where

a1 is the first term

r is the common ratio

n is the number of terms

we have

a1=-4, a2=24, a3=-144

Find the value of r (common ratio)

r=a2/a1

r=24/(-4)=-6

a1=-1

r=--6

n=6

substitute in the formula

$S=(-4)[\frac{1-(-6)^{6}}{1-(-6)}]$

$S=(-4)[\frac{1-(-6)^{6}}{7}]$

$S=26,660$

4 0

3 years ago

Valentina has a budget for school stationery of $37, but has already spent $16.61 on books and folders.

lesya692 [45]

Answer:

16.61+n=37 and p= 20.39

Step-by-step explanation:

Since Valentina has 37 dollars alreay, then that is the total amount the she has. When she spend 16.61, you will have to subtract that with 37. With p, you will put a + by it because it should that she bought additional item too. With this, you should get p=20.39

Hope this Helped

4 0

3 years ago

Read 2 more answers