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2 years ago

Test 4,580 for divisibility by 2, 3, 5, 9, and 10.

Mathematics

1 answer:

Hatshy [7]2 years ago

5 0

Answer:

Find the X and Y Intercepts 3x-5y=-20

Find the X and Y Intercepts 3x-5y=-20. 3x−5y=−20 3 x - 5 y = - 20. Find the x-intercepts. Tap for more steps

Step-by-step explanation:

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A composition of transformations ΔKLM maps ΔK"L"M" to . Triangle K L M is rotated 270 degrees about point P to form Triangle K p

telo118 [61]

Answer:

a 270° rotation about point P

Step-by-step explanation:

Because after transformation MK and M'K 'are at 90°, that implies that MK is rotated as 90 ° clockwise around P or 270 ° counterclockwise around P.

Therefore the transformation composition that maps $\triangle KLM$ to $\triangle$ K"L"M",

So, for this composition, the first transformation is 270° is the 270° rotation i.e to be counterclockwise about point P.

While the transformation of the second would be down translation that goes to the right.

hence, the last option is correct

6 0

2 years ago

Read 2 more answers

Shelley compared the number of oak trees to the number of maple trees as part of a study about hardwood trees in a woodlot. She

Sedbober [7]

Answer:

Step-by-step explanation:

Initial ratio of maple trees to oak trees

New ratio of maple trees to oak trees

3:11

Number of oak trees = 132

Number of maple trees

132*3/11 = 36

Total number of trees

132+36 = 168

Initial number of maple trees

168*9/14 = 108

The difference in the number of maple trees:

108 - 36 = 72

7 0

2 years ago

Read 2 more answers

Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?

QveST [7]

I note that this problem starts out with "Which is a factor of ... " This implies that you were given several answer choices. If that's the case, it's unfortunate that you haven't shared them.

I thought I'd try finding roots of this function using synthetic division. See below:

f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation. Thanks.

Possible zeros of this poly are factors of 35: plus or minus 1, plus or minus 5, plus or minus 7. Use synthetic division; determine whether or not there is a non-zero remainder in each case. If none of these work, form rational divisors from 35 and 6 and try them: 5/6, 7/6, 1/6, etc.

Provided that you have copied down the function
f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35 properly, this approach will eventually turn up 1 or 2 zeros of this poly. Obviously it'd be much easier if you'd check out the possible answers given you with this problem.

By graphing this function, I found that the graph crosses the x-axis at 7/2. There is another root.

Using synth. div. to check whether or not 7/2 is a root:

___________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------- ------------------------------
6 0 -4 10 0

Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial. Thus, (x-3.5), or (x-7/2), is a factor.

7 0

2 years ago

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Which point on the number line represents Negative three-fourths? A number line going from negative 2 to positive 1 in increment

solong [7]

Point B . 1 Mark to the right of negative 1

Step-by-step explanation:

The given number line starts from negative 2 to positive 1 in increments of 1.

Hence the four main divisions represent negative 2, negative 1 0 and positive 1

Also there are 4 equal spaces between each number. Hence each sub division between each number represents a quarter.

Point A is 1 mark to the right of negative 2. This would represent the number negative one and three quarter.

Point B is 1 mark to the right of negative 1. This would represent the number negative three quarter.

Point C is 1 mark to the left of 0. This would represent the number negative one quarter.

Point D is 1 mark to the left of 1. This would represent the number positive three quarter.

Point B representing 1 mark to the right of negative 1 is the answer as it is equal to negative three quarter.

5 0

2 years ago

Read 2 more answers

Rhianna is buying a car for $14,390. She has a $1000 trade-in allowance and will make a $1500 down payment. She will finance the

antoniya [11.8K]

Answer:

(a)

Original price for the Car Rhianna buy = $14,390.

Trade in allowance she has =$1000

So, the reduced price= $14,390-$1,000=$13,390.

Now, she make a $1500 down payment initially, so the remaining amount she pay using Auto-Loan is, $13,390-$1500=$11,890

Therefore, $11,890 money will she borrow in an auto loan.

(b)

To find the monthly(M) auto payment be:

Since the monthly auto payment in 4 year with 2.6% APR(Annual percentage rate)

Now, Monthly Auto payment(M) be :

P=$11,890, Monthly Car payment per $1000 borrowed at 2.6% for 48 months = $21.958

∴ $M=$11,890\cdot \frac{21.958}{1000}$

On solving we get, M=$261.082

Therefore, $261.082 will be her monthly auto payment.

(c)

Total amount of interest(A) she will pay ,

A=total payment in 4 years-total loan amount= $(\$261.082\cdot 48)-11,890$

=$12,531.936-$11,890=$641.936

So, the total amount of interest she will pay is, $641.936

(d)

Rhianna total payment for the car = total payment in 4 years+Down payment= $(261.082\cdot 48)+$1500$ =$12531.936+$1500=$14,031.936

(e)

∵ Rhianna is 22 years female :

From the given Data in the picture:

Rating factor= 1.2

Liability insurance 50/100/25 , Bodily injury 50/100

Premium= $310 and Property damage 25 : Premium $175

Collision insurance=$500 deductible: Premium $148

Comprehensive insurance= $500 deductible : Premium $85

Her total annual premium $= 1.2\cdot (\$310+\$175+\$148+\$85) = \$861.60$

8 0

2 years ago