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3 years ago

Factorize;

Mathematics

2 answers:

Allushta [10]3 years ago

5 0

A) 2 X 3 + 2 X 5 = 2 (3+5)
B) 5a + 5b - 5c = 5 (a+b-c)
C) ma - ab = a(m-b)

lesya [120]3 years ago

5 0

5.7081 X 10^9 so it would be the ninth power of 10

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Move the slider on the graph on the right to graph each function:

DedPeter [7]

Answer:

The domain is $x\geq 7$

The range is $y\geq 1$

Step-by-step explanation:

we have

$y=\sqrt{x-7} +1$

<em>Find the domain</em>

Remember that

The domain of a function is the set of all possible values of x

we know that the radicand of the function must be greater than or equal to zero

$x-7\geq 0$

solve for x

$x\geq 7$

therefore

The domain is $x\geq 7$

<em>Find the range</em>

Remember that

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

For x=7

The value of y is equal to

$y=\sqrt{7-7} +1=1$

The solution for y is the interval [1,∞)

therefore

The range is $y\geq 1$

6 0

3 years ago

Read 2 more answers

Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have? Wh

svlad2 [7]

Let q and n represent the number of quarters and nickels respectively.

q=3n and .05n+.25q=1.6 These are the conditions in mathematical terms.

To solve, use the value of q from the first equation in the second equation to get:

.05n+.25(3n)=1.6 carry out indicated multiplication on left side

.05n+.75n=1.6 combine like terms on left side

.8n=1.6 divide both sides by .8

n=2, since q=3n

q=6

So Peggy had 2 nickels and 6 quarters.

3 0

3 years ago

Step 1: 12x – 15 – 12x = 7x + 20

stealth61 [152]

Step-by-step explanation:

step 1. 12x - 15 - 12x = 7x + 20

step 2. 12x - 12x - 15 = 7x + 20 (grouping of terms)

step 3. -15 = 7x + 20 (adding like terms)

step 4. -35 = 7x (subtract 20 from both sides)

step 5. this step is incorrect.

step 6. -5 = x ( divide both sides by 7)

step 7. x = -5 (put the variable first).

5 0

3 years ago

The perpendicular line of x-6y=2, (2, 4) in slope intercept form

pentagon [3]

The perpendicular line to x-6y=2, and passing through (2, 4) is y=-6x+16

3 0

3 years ago

Question text You have just won the lottery. The Lottery Corporation offers you two options: 1. a lump-sum payment of $400,000,

igomit [66]

Use present value equation.
If present value of annuity equals 400,000, then you are indifferent.

$PV = A(v + v^2 + ...v^{20}) \\ \\ PV = A\frac{v(1-v^{20})}{1-v}$

where v = 1/(1+r) and A = annual payment = 800,000/20 = 40,000

PV = 400,000
After subbing in the numbers, the equation is:
$10 = \frac{v(1-v^{20})}{1-v} \\ \\ 10 - 10v = v - v^{21} \\ \\ v^{21} - 11v+10 = 0 \\ \\ v = 0.928034 \\ \\ \frac{1}{1+r} = 0.928034 \\ \\ r = 0.0775$

Therefore at interest rate of about 7.75% you are indifferent.

6 0

3 years ago