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Marina86 [1]
2 years ago
10

Solve x2 - 8x + 15 <0.

Mathematics
1 answer:
Stels [109]2 years ago
3 0

Answer:

<h2> x<3 and x<5</h2>

Step-by-step explanation:

Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followed;

Step 1: Factorize the quadratic expression

x² - 8x + 15 <0

x² - 3x - 5x + 15 <0

x(x - 3) - 5(x - 3)  <0

(x -3)(x -5)< 0

x -3<0 and x -5<0

x< 3 and x< 5

Therefore, the solution set for the quadratic inequality are x<3 and x<5

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The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:
Y_Kistochka [10]
Ur independent variable is ur x values....ur dependent variable is ur y values..so if hrs are on the x axis, then ur independent values are ur hrs (or time)....and ur dependent values are ur distance.

(0,0),(2,50)
slope = (50 - 0) / (2 - 0) = 50/2 = 25

y = mx + b
slope(m) = 25
and since u have point (0,0), ur y int (b) = 0
so ur equation is y = 25x + 0 which is written as y = 25x...which is basically saying that he travels 25 miles per hr

how far will he travel in 24 hrs.....so sub in 24 for x
y = 25(24)
y = 600 miles

in summary : The dependent variable is distance, the equation is y = 25x and the dragonfly will fly 600 miles.
8 0
2 years ago
Read 2 more answers
Juan rides his bike 30 miles in 8 hours. At this rate how many miles does he ride his bike
irinina [24]

Answer:

answer is 7.5 miles

Step-by-step explanation:

30/8=3.75 mi in one hour

3.75*2=7.5 miles in 2 hours

hope it helps

6 0
2 years ago
If
UkoKoshka [18]

Answer:

-8n + 9

Step-by-step explanation:

Given that,

A = -3n + 2

B = 5n - 7

Before solving you have to know that,

( + ) × ( + ) = ( + )

( - ) × ( - ) = ( + )

( + ) × ( - ) = ( - )

Let us solve now.

A - B

-3n + 2 -(5n - 7)

-3n + 2 - 5n + 7

Combine like terms

-3n - 5n + 2 + 7

-8n + 9

Hope this helps you.

Let me know if you have any other questions :-)

5 0
2 years ago
Solve the system of equations by subsitution.<br> b = 4a +2<br> 12a - 3b = -6
Vladimir [108]

Answer:

infinite solution

Step-by-step explanation:

hello

we substitute b = 4a + 2 in the second expression

12a -3*(4a+2) = -6

<=> 12a -12a -6 = -6

<=> -6 = -6

which is always true

so there is infinite solution

hope this helps

5 0
3 years ago
Solve the equation 3(x+4.5x ) = 36. Explain your reasoning THOROUGHLY.
Vesna [10]

Answer:

x \approx 2.18

Step-by-step explanation:

3(x+4.5x)=36

we can use the distributive property and get

3(x)+3(4.5x)=36\\\\3x+13.5x=36\\\\

and we can add like terms

(3+13.5)x=36\\\\16.5x=36

and know we divide both sides by 16.5

16.5x*(\frac{1}{16.5})=36*(\frac{1}{16.5})\\\\x=\frac{36}{16.5}

and doing the dvision we get that

x\approx 2.18

3 0
2 years ago
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