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jeka94
3 years ago
12

20

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0

Answer:£22.50

Step-by-step explanation:

£15x7=£105

285-105= 180 : 8= £22.50p

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Factor 4x^4+7x^2-2=0
natulia [17]

Answer:

(2x-1)(2x+1)(x^2+2) = 0

Step-by-step explanation:

Here's a trick:  Use a temporary substitution for x^2.  Let p = x^2.  Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.  

Find p using the quadratic formula:  a = 4, b = 7 and c = -2.  Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.  

Then the roots are:

       -7 plus or minus √81

p=   --------------------------------

                        8

p = 2/8 = 1/4 and p = -16/8 = -2.

Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2.  We cannot do quite the same thing with the factor p= -2 because the roots would be complex.

If x = 1/2 is a root, then 2x - 1 is a factor.  If x = -1/2 is a root, then 2x+1 is a factor.  

Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1.  Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0.  We get x^2+2 as quotient.

Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.

6 0
3 years ago
Help 50 points and brainliest if you help
Elden [556K]

Answer:

its 49

Step-by-step explanation:

5 0
3 years ago
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What is the arc length of the semicircle
MrMuchimi

Answer:

The arc length of the semicircle is half the circumference of the full circle

8 0
3 years ago
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The linear function f(x) = 0.9x + 79 represents the average test score in your math class, where x is the number of the test tak
Levart [38]

Given:

The linear function for average test score in your math class is

f(x)=0.9x+79

where x is the number of the test taken.

The linear function g(x) in the given table represents the average test score in your science class, where x is the number of the test taken.

To find:

Part A: The test average for your math class after completing test 2.

Part B: The test average for your science class after completing test 2.

Part C: Which class had a higher average after completing test 4?

Solution:

Part A:

We have,

f(x)=0.9x+79

Put x=2 in the above function, to find the test average for your math class after completing test 2.

f(2)=0.9(2)+79

f(2)=1.8+79

f(2)=80.8

Therefore, the test average for your math class after completing test 2 is 80.8.

Part B:

From the given table it is clear that g(x) =79 at x=2.

Therefore, the test average for your science class after completing test 2 is 79.

Part C:

Put x=4 in f(x), to find the test average for your math class after completing test 4.

f(4)=0.9(4)+79

f(4)=3.6+79

f(4)=82.6

From the table it is clear that the value of g(x) is increased by 1 as x is increased by 1. So, the value of function g(x) at x=4 must be 1 more than 80.

g(4)=81

It is clear that,

82.6>81

Therefore, math class had a higher average after completing test 4.

3 0
3 years ago
How do you find the hypotenuse of a triangle with only one side?
weeeeeb [17]
What ever number is on the largest side
8 0
4 years ago
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