PLZ ANSWER NEED IT ASAP

Help on #97! Need to know how to work it out using polynomial equations!

olganol [36]

Area = length * width
length = (2 * width) - 1
$10 = l*w\\ 10=(2w-1)*w\\ 10=2w^{2}-w\\ 2w^{2}-w-10=0\\ (2w-5)(w+2)=0\\\\ 2w-5=0\\ 2w=5\\ w=\frac{5}{2}=2.5\\ w+2=0\\ w=-2$
Since length cannot be negative, w = -2 is not a solution. Thus, $\frac{5}{2}~ft$ is your width.
Since length = 2 * width - 1, plug in width:
$l=2(\frac{5}{2})-1\\ l=5-1\\ l=4~ft$

7 0

4 years ago

WORTH 100 POINTS!

Karolina [17]

Answer:

Step-by-step explanation:

4. h(x) = 2x^2 + 14x - 60

Step-by-step explanation:

Given that h(x) is a quadratic.

Also, h(3) = h(-10) = 0

(A) h(x) = x^2 - 13x - 30

=> h(3) = 3^2 - 13(3) - 30

=> h(3) = 9 - 39 - 30

=> h(3) = -30 - 30

=> h(3) = -60

=> h(3) ≠ 0

(B) h(x) = x^2 - 7x - 30

=> h(3) = 3^2 - 7(3) - 30

=> h(3) = 9 - 21 - 30

=> h(3) = -12 - 30

=> h(3) = -42

=> h(3) ≠ 0

(C) h(x) = 2x^2 + 26x - 60

=> h(3) = 2(3^2) + 26(3) - 60

=> h(3) = 2(9) + 78 - 60

=> h(3) = 18 + 78 - 60

=> h(3) = 96 - 60

=> h(3) = 36

=> h(3) ≠ 0

(D) h(x) = 2x^2 + 14x - 60

=> h(3) = 2(3^2) + 14(3) - 60

=> h(3) = 2(9) + 42 - 60

=> h(3) = 18 + 42 - 60

=> h(3) = 60 - 60

=> h(3) = 0

And

=> h(-10) = 2(-10)^2 + 14(-10) - 60

=> h(-10) = 2(100) - 140 - 60

=> h(-10) = 200 - 200

=> h(-10) = 0

Clearly we have,

=> h(3) = h(-10) = 0

Hence, the correct option is (D) h(x) = 2x^2 + 14x - 60

4 0

3 years ago

Read 2 more answers

The second term in a geometric sequence is 12. The fourth term in the same sequence is 4/3. What is the common ratio in this seq

aniked [119]

The common ratio in this sequence is 6:2 or 4:3

3 0

3 years ago

Read 2 more answers

Reduce to Standard form : (a) -21/91 (b) 32/(-256)

sweet [91]

Answer:

a) -3/13

b) -1/8

Step-by-step explanation:

a) - (21 / 7) / (91 / 7) = 3/13

b) (32 / 32 ) / - (256 / 32) = -1/8

5 0

3 years ago

Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows:

hjlf

Answer:

a) 75.62

b) 75.2

Step-by-step explanation:

Data provided:

79.9,75.1,78.2,74.1,73.9,75.0,77.6,77.3,73.8,74.6,75.5,74.0,74.7,75.9,72.6,73.8,74.2,78.1,75.4,76.3,75.3,76.2,74.9,78.0,75.1,76.8

Sum = 1966.3

Total number of observations, n = 26

a) Mean is given as:

Mean = $\frac{\textup{Sum of all observations}}{\textup{Total number of observations}}$

or

Mean = $\frac{\textup{1966.3}}{\textup{26}}$

or

Mean = 75.62

b) For value that separates the weakest 50% of the connectors i.e median or the 50th percentile

Arranging the data in ascending order:

72.6, 73.8, 73.8, 73.9, 74, 74.1, 74.2, 74.6, 74.7, 74.9, 75, 75.1, 75.1, 75.3, 75.4, 75.5, 75.9, 76.2, 76.3, 76.8, 77.3, 77.6, 78, 78.1, 78.2, 79.9

i = $\frac{\textup{n}}{\textup{2}}$

or

i = $\frac{\textup{26}}{\textup{2}}$ = 13

When the number of observations is even the formula for median is:

$Median = \frac{\frac{n}{2}+\frac{n+2}{2}}{2}$

or

$Median = \frac{\frac{26}{2}+\frac{26+2}{2}}{2}$

or

$Median = \frac{13th+14th}{2}$

or

$Median = \frac{75.1+75.3}{2}$

or

Median = 75.2

7 0

3 years ago