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pychu [463]
2 years ago
7

t="25x^{3} -215x^{2} +280x" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Firlakuza [10]2 years ago
3 0

Answer:

5x(5x - 8)(x - 7)

Step-by-step explanation:

25x³ - 215x² + 280x =

= 5x(5x² - 43x + 56)

= 5x(5x - 8)(x - 7)

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Determine the point on the hyperbola −3x2+2y2=10 closest to the point (4, 0).
umka2103 [35]
-3x^2 + 2y^2 = 10
2y^2 = 10 + 3x^2
y^2 = 5 + 3/2x^2

distance between two points is given by
d = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((x - 4)^2 + (y - 0)^2) = sqrt((x - 4)^2 + y^2) = sqrt((x - 4)^2 + 5 + 3/2x^2)
For d to be minimum (closest), dd/dx = 0
(2(x - 4) + 3x)/2sqrt((x - 4)^2 + 5 + 3/2x^2) = 0
2(x - 4) + 3x = 0
2x - 8 + 3x = 0
5x = 8
x = 8/5 = 1.6

y^2 = 5 + 3/2(1.6)^2 = 5 + 3/2(2.56) = 221/25
y = sqrt(221/25) = 2.97

Therefore, the required point is (1.6, 2.97)
6 0
3 years ago
A consumer products company wants to measure the effectiveness of different types of advertising media in the promotion of its p
AnnZ [28]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Sales(y) __Radio (x1) __ Newspaper (x2)

973 0 40

1119 0 40

875 25 25

625 25 25

910 30 30

971 30 30

931 35 35

1177 35 35

882 40 25

982 40 25

1628 45 45

1577 45 45

1044 50 0

914 50 0

1329 55 25

1330 55 25

1405 60 30

1436 60 30

1521 65 35

1741 65 35

1866 70 40

1717 70 40

The multiple regression equation obtained for the data:

With sales, y = predicted variable

Radio, x1 = predictor variable 1

Newspaper, x2 = predictor variable 2

ŷ = 13.10812X1 + 17.07885X2 + 149.19284

Slope b1, = for every unit change in Number of radio advert, there is a 13.10812 change in sales

Slope B2, = for every unit change in Number of newspaper advert, there is a 17.07885 change in sales

b0 = intercept = 149.19284, represents the estimated amount of sales if there was no sales reported from both radio and newspaper advert.

Sales where, X1 = $20,000; X2 = $20,000

ŷ = 13.10812(20000) + 17.07885(20000) + 149.19284

y = 603888.59284

Sales (y) = $603889

5 0
3 years ago
Between which two rational numbers is √3 located? A.1.2 and 1.3 B.1.7 and 1.8 C.2.6 and 2.7 D. 2.7 and 2.8
julsineya [31]
B is the correct anwser 

7 0
3 years ago
Read 2 more answers
Put these fractions in order of size smallest to largest 1/4 a) 1/2 b) 1/3 c)
Serjik [45]

Answer:

smallest to largest would be 1/4, 1/3, 1/2

Step-by-step explanation:

6 0
3 years ago
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A mathematical phrase represented by numbers, variables, and operations is a(n)
blondinia [14]

Answer: A

Step-by-step explanation:

Algebraic (or numeric) expression (also referred to as phrase) A mathematical expression (numeric/algebraic) is one or a group of mathematical symbols representing a number or quantity. It may include numbers, variables, constants, operators, and grouping symbols. One side of an equation is also an expression.

5 0
3 years ago
Read 2 more answers
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