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3 years ago

How do I factor the expression

Mathematics

1 answer:

velikii [3]3 years ago

8 0

You try to find two numbers that add up to positive 7, and multiply to -8. These numbers are 8 and -1.

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Kimberly buys a jar of fruit punch

weeeeeb [17]

Answer:

the jar will last for 15 days

6 0

3 years ago

Determine the intercepts of the line. 4x-1=3y+54x−1=3y+54, x, minus, 1, equals, 3, y, plus, 5 xxx-intercept: \Big((left parenthe

earnstyle [38]

Answer:

The intercepts $(x,y) = (\frac{3}{2},-2)$

Step-by-step explanation:

Given:

$4x-1=3y+5$

Required

Determine the intercepts

The equation is a linear equation and the intercepts of the equation is calculated as thus;

For x intercepts; substitute 0 for y

$4x-1=3y+5$

$4x-1=3(0)+5$

$4x-1=0 + 5$

$4x-1=5$

Add 1 to both sides

$4x-1 + 1=5 + 1$

$4x = 6$

Divide both sides by 4

$\frac{4x}{4} = \frac{6}{4}$

$x = \frac{6}{4}$

Simplify fraction to lowest term

$x = \frac{3}{2}$

For y intercept, substitute 0 for x

$4x-1=3y+5$

$4(0)-1=3y+5$

$0 - 1 = 3y + 5$

$-1 = 3y + 5$

Subtract 5 from both sides

$-5 - 1 = 3y + 5 - 5$

$-6 = 3y$

Divide both sides by 3

$\frac{-6}{3} = \frac{3y}{3}$

$-2 = y$

Reorder

$y = -2$

Hence, the intercepts $(x,y) = (\frac{3}{2},-2)$

8 0

3 years ago

Read 2 more answers

Start at 39 and create a pattern with the rule subtract 5. What is the third number in the pattern,,?

adoni [48]

Answer:

Step-by-step explanation:

39-5= 34, 34-5= 29, 29-5= 24

4 0

3 years ago

Read 2 more answers

Shirley purchased a plot of land for $19,500. The land appreciates about 3.9% each year. What is the value of the land after fiv

Leona [35]

Answer:

3802,5

Step-by-step explanation:

19500*3,9=760,5

760,5*5=3802,5

7 0

3 years ago

Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes

Ivan

Answer:

14.86 knots.

Step-by-step explanation:

<em>Given that:</em>

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2 $\times$ 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 $\times$ 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled $\triangle AOB$ .

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units$

so, the total distance between the two boats is 74.28 units.

Change in distance per hour = $\dfrac{Total\ distance}{Total\ time}$

$\Rightarrow \dfrac{74.28}{5} = 14.86\ knots$

6 0

3 years ago