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34kurt
3 years ago
9

Solve the problem in the picture please

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
5 0
(1) y= - x² - 4x + 9 and (2) y + 5x = - 7. Isolate y in (2); y= - 5x - 7 (3)

Since (1) and (3) have the same value or the same y, then we can write:
(1)=(3)

- x² - 4x + 9 = - 5x - 7

-x² - 4x + 9 + 5x +7 = 0

-x² + x + 16 = 0  OR x² - x - 16 = 0

Solve this quadratic equation:

x' = [-b+√(b²-4ac)]/(2a) and x" = [-b-√(b²-4ac)]/(2a)

x' = [+1+√(-1)² - 4(1)(-16)]/2 → x' = [1+√(1+64)]/2 → x' = [1+√65)]/2
x" = [+1-√(-1)² - 4(1)(-16)]/2 → x' = [1-√(1+64)]/2 → x' = [1-√65)]/2

x' = [1+√65)]/2 = + 4.5311


x" =[1-√65)]/2 = - 3.5311
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The measure of an angle is 39°. What is the measure of its complementary angle?
Novosadov [1.4K]

Answer:

51 degrees

Step-by-step explanation:

Complementary angles are two angles whose sum is (90degrees). If one is given an angle measure and needs to find its complementary angle, then all one has to do is subtract the given angle measure from (90degrees).

90 - 39 = 51

3 0
3 years ago
Read 2 more answers
Judy worked 8 hours and Ben worked 10 hours. Their combined pay was $80. When Judy worked 9 hours and Ben worked 5 hours, their
pav-90 [236]

Answer:

Judy = $5/hr

Ben = $4/hr

Step-by-step explanation:

Judy's hours at work - x

Ben's hours at work - y

8x + 10y = 80

9x + 5y = 65

Given these two equations above, we get:

10y = 80 - 8x, which means y = 8 - 0.8x.

Substitute y in the second equation with 8 - 0.8x, so we have:

9x + 5 (8 - 0.8x) = 65

9x + 40 - 4x = 65

5x = 25

x = 5

Come back to the first equation, substitute x:

8*5 + 10y = 80

10y = 80 - 40

y = 4

3 0
2 years ago
One third of a number Y
vampirchik [111]

Answer:

⅓y

Step-by-step explanation:

\frac{1}{3}  \times y \\  =  \frac{1}{3} y

4 0
3 years ago
Hi, can someone help with these two questions ASAP! (Ignore the multiple choice I circled, not sure if it’s correct)
Sindrei [870]

Answer:

1) D. y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10

2) E. The coefficient of x is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}, where n is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10

Correct answer: D

2) Let p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4), we proceed to expand the expression by algebraic means:

p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)

p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4

We see that coefficients for x^{2} and x are -16 and 0, respectively. Hence, the incorrect answer is E.

3 0
3 years ago
What linear equation in slope intercept form does this graph represent?
guajiro [1.7K]

Answer: Hope this helps

y = 3/5x + 100

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Y-int: 100

Step-by-step explanation:

y = mx + b

<em>replace b with y-int</em>

y = mx + 100

<em>replace m with the slope which is 3/5</em>

y = 3/5x + 100

<em>How do you get slope?</em>

<em>Well I did rise/run with two points so I saw it ran 5 squares and rose only 3.</em>

<em>How do you get the y-int?</em>

<em>Well the y-int is the point where x is 0. So using the point (0,100), since x is 0, the y-int is 100.</em>

6 0
2 years ago
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