Find the factors of 4x2-16x-9.

Answer:

5 shifts

Step-by-step explanation:

The pool is open for 7 1/2 hours (15/2 hours) per day.

Each lifeguard shift lasts for 1 1/2 hours (3/2 hours).

To get the number of shifts per day, we divide the total hours that the pool is open by the time of each lifeguard shift:

[tex]\frac{15}{2} / \frac{3}{2} \\\\= \frac{15}{2} / \frac{2}{3} \\\\ = 5[/tex]

There are 5 lifeguard shifts per day.

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

y + 5 = 3x - 18

y = 3x - 23

The solution is A

Answer:

A. y=3x-23

Step-by-step explanation:

We want to get the equation in slope intercept form, or y=mx +b, where m is the slope and b is the y intercept. Basically, we need to get y isolated.

y+5=3(x-6)

First, let’s distribute the 3 on the right side. Multiply each term inside the parentheses by the number outside the parentheses (3).

y+5=3*x + 3*-6

y+5=3x-18

5 is being added onto y. We need to perform the inverse operation to get y by itself. The opposite of addition is subtraction. Subtract 5 from both sides

y+5-5=3x-18-5

y= 3x-18-5

y=3x-23

Therefore, the correct answer is A. y=3x-23

Step-by-step explanation:

5f

5 + n times of a number

Answer:  (i) 1       (ii) 3/4 , √3/3       (iii) 0       (iv) 1

Step-by-step explanation:

ΔRPQ is 1 30°-60°-90° triangle because RQ = 2PQ , where

(i) sin² (90°) = 1² = 1

[tex]\text{(ii)}\ \cos ^2(30^o)= \bigg(\dfrac{\sqrt3}{2}\bigg)^2=\dfrac{3}{4}[/tex]

[tex].\quad \tan (30^o)=\dfrac{1}{\sqrt3}\bigg=\dfrac{\sqrt3}{3}[/tex]

(iii) sin (90°) × cos (90°) = 1 × 0 = 0

(iv) sin² (90°) - cos² (90°) = 1² - 0² = 1

Answer:

3600 m or 3.6 km

Step-by-step explanation:

The first thing is to take into account that the pulse rate is equal to 75 per minute, or what is the same as 75 beats per 60 seconds, then we must know how many seconds would be 15 beats:

15 beats * 60 seconds / 75 beats = 12 seconds

Therefore, we know that the velocity is equal to:

v = d / t

We know the time and the speed, therefore:

d = v * t

replacing

d = 300 * 12

d = 3600

is located at 3600 meters or 3.6 km

Answer:

R: {-7,-2,3,8}

Step-by-step explanation:

The range is the output values of the function

The values or 8,3,-2,-7

We put them in order from smallest to largest

R: {-7,-2,3,8}

Answer:

2nd option would be the answer

B

{y:y=-7,-2,3,8}

Step-by-step explanation:

Answer:

1_11/20 pounds, or 1.55 pounds.

Step-by-step explanation:

Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.

Answer:

G:O = 3:10

the ratio of green marbles to orange marbles is 3:10

Step-by-step explanation:

Let G, Y and O represent green, yellow and orange marbles respectively.

Given;

the ratio of green marble to yellow marble is 2 : 5

G:Y = 2:5

G/Y = 2/5

the ratio of yellow arbles to orange marbles is 3 : 4

Y:O = 3:4

Y/O = 3/4

the ratio of green marbles to orange marbles G:O;

G/O = G/Y × Y/O

Substituting the values;

G/O = 2/5 × 3/4

G/O = 3/10

G:O = 3:10

the ratio of green marbles to orange marbles is 3:10

Answer:

i think is (0.5,25)

Step-by-step explanation:

becuse at the time they have the same speed

Answer:

z

Step-by-step explanation:

z

Answer:

10

Step-by-step explanation:

Use the distacne forumla to find the differnece between the two points.

Answer:

(7, 13/3)

Step-by-step explanation:

[tex]y=\frac{1}{3} x+2\\[/tex]   Line up the equations on top of each other

[tex]y=\frac{4}{3} x-5[/tex]

[tex]-4*[y=\frac{1}{3} x+2][/tex]   Multiply the top equation by [tex]-4[/tex] in order to cancel out the [tex]x[/tex] variable

[tex]-4y=-\frac{4}{3} x-8[/tex]   Switch out the first equation for this one

[tex]-4y=-\frac{4}{3} x-8[/tex]   Line up the equations

    [tex]y=\frac{4}{3} x-5[/tex]

[tex]-3y=-13[/tex]   Add the two equations top to bottom, left to right

    [tex]y=\frac{13}{3}[/tex]

Now that you've found [tex]y[/tex], you need to find [tex]x[/tex]. Just plug in the y-value to either of the equations in Step 1:

The first equation has smaller numbers, so let's use that one.

[tex]\frac{13}{3} =\frac{1}{3} x+2[/tex]

To make it easier you can multiply all the terms in the equation by 3:

[tex]13=x+6[/tex]

 [tex]7=x[/tex]

The [tex]x[/tex]- and [tex]y[/tex]- values together give a solution of ( [tex]7[/tex], [tex]\frac{13}{3}[/tex] )

Answer : The amount of margarine needed is 1 kg.

Step-by-step explanation :

First we have to convert volume of syrup from mL to L.

Conversion used:

1 L = 1000 mL

or, 1 mL = 0.001 L

So, 225 mL = 0.225 L

Now we have to calculate the amount of margarine needed.

As, 0.225 L of syrup needed 150 g of margarine

So, 1.8 L of syrup needed [tex]\frac{1.5L}{0.225L}\times 150 g=1000g[/tex] of margarine

Amount of margarine needed = 1000 g = 1 kg     (1 kg = 1000 g)

Therefore, the amount of margarine needed is 1 kg.

Answer:

It will take Jake 0 hours and It will take Brianna 15 hours

Step-by-step explanation:

Let x be the no. of hours taken by Brianna to complete work alone

We are given that Jake does a job in 15 hours less time than Brianna

So,Jake work alone in hours =x-15

We are given that  they can do the job together in 10 hours

So, [tex]\frac{1}{x-15}+\frac{1}{x}=\frac{1}{10}\\\frac{x+x-15}{(x-15)x}=\frac{1}{10}\\x=3,15[/tex]

So, Brianna complete work in 15 hours

So, Jake work alone in hours =x-15=15-15=0

So, It will take Jake 0 hours and It will take Brianna 15 hours

Answer:

-69/323

Step-by-step explanation:

6/19-9/17=6*17-19*9/19*17

=102-171/323

= -69/323

Answer:

60

Step-by-step explanation:

i used a proportion. 4 to 10 is equal to 60 to 150

Answer: m∠1=42°

Step-by-step explanation

For this problem, we can separate the triangle into 2 separate triangles to solve for m∠1.

We know that m∠4 is 106°. ∠2 and ∠4 are supplementary angles. You can see that they make a straight line of 180°. We can use this fo find ∠2.

∠2+∠4=180

∠2+106=180

∠2=74°

Now that we know ∠2 is 74°, we can use that to solve for m∠1.

We know that the measures of the angles in a triangle equal to 180°. For the triangle at the bottom, we see ∠3, ∠2, ∠1. Since we know ∠3 and ∠2, we can find ∠1.

∠3+∠2+∠1=180

64+74+∠1=180

138+∠1=180

∠1=42°

Answer:

upwards or to the right

Step-by-step explanation:

If the a value is positive, then the parabola opens upward or to the right, and if the a value's negative, it opens down or to the left. Hope this helps!

Answer:

[tex]Surface Area = 84.9 cm^2[/tex]

Step-by-step explanation:

Surface Area = [tex]4\pi r^2[/tex]

Putting r = 2.6 cm

SA = 4(3.14)(2.6)²

SA = 4(3.14)(5.76)

SA = 84.9 cm²

Answer:

[tex]2.6^{2} \times \pi \times 4 = 84.9[/tex]

Answer:

y=4x-9

Step-by-step explanation:

Step-by-step explanation:

8-4(-x + 5)

8 + 4x - 20

4x - 12

Answer:

m∠BOC = 60°

Step-by-step explanation:

Step 1: Find x

7x + 30 + 9x + 42 = 104

16x + 72 = 104

16x = 32

x = 2

Step 2: Plug x into ∠BOC equation to find m∠BOC°

9(2) + 42

18 + 42 = 60

Answer:

CD = 20 cm

Step-by-step explanation:

Area of Δ = 1/2(Base)(Height)

Where Height = 15, Area = 150

So,

150 = 1/2(CD)(15)

CD = [tex]\frac{150*2}{15}[/tex]

CD = 10*2

CD = 20 cm

Answer:

b

Step-by-step explanation:

Answer:

Pentagon

Step-by-step explanation:

[tex]answer \\ k = - 4 \\ solution \\ 2x + y - 6 = 0 \\ (5 \: k) \: is \: a \: solution \: so \\ x = 5 \: and \: y = r \\now \\ 2x + y - 6 = 0 \\ or \: 2 \times 5 + r - 6 = 0 \\ or \: 10 + r - 6 = 0 \\ or \: 10 - 6 + r = 0 \\ or \: 4 + r = 0 \\ or \: r = 0 - 4 \\ r = - 4 \\ hope \: it \: helps[/tex]

Answer:

D

Step-by-step explanation:

When we divide the entire equation by -1/2 to get rid of the coefficient of n we get n = 16.

Answer:

D.) 16

Step-by-step explanation:

Solve for n:

-n/2 = -8

Multiply both sides of -n/2 = -8 by -2:

(-2 (-n))/2 = -2 (-8)

-2×(-1)/2 = (-2 (-1))/2:

(-2 (-1))/2 n = -2 (-8)

(-2)/2 = (2 (-1))/2 = -1:

--1 n = -2 (-8)

(-1)^2 = 1:

n = -2 (-8)

-2 (-8) = 16:

Answer: n = 16

Answer:

This is true! 1x=1

Step-by-step explanation:

So let's rewrite the question again.

-5(x - 1) = 2x - 7x + 5

So we will solve from left to right.

-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.

-5(x - 1) = -5x+5

2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.

2x - 7x + 5 = -5x+5

Now, here is the equation that we have so far.

-5x+5 = -5x+5

+5x        +5x

----------------------

5=5

-5 -5

0=0

So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:

All Real Numbers

Answer:

Where is the picture?

Step-by-step explanation:

Answer:

[tex] - 7 {x}^{2} + 7 {x}^{3} [/tex]

Step-by-step explanation:

[tex]( - 5 - 7 {x}^{2} ) + (5 + 7 {x}^{3} ) \\ = - 5 - 7 {x}^{2} + 5 + 7 {x}^{3} \\ = - 7 {x}^{2} + 7 {x}^{3} [/tex]

Answer:

(-2, 0) and (0, 4)

Step-by-step explanation:

The solutions are the intersection points. The graphs intersect at points (-2, 0) and (0, 4)

Answer:

1555.61 birrs

Step-by-step explanation:

Perform this operation:

83.5 liters      18.63 birr

---------------- * ----------------- = 1555.61 birrs             This was the total amount

         1               1 liter                                              of the bill.

Answer:

1,555.605

Step-by-step explanation:

per liter is 18.63 and the driver got 83.5 liters

the bill is 18.63 × 83.5 = 1,555.605 if you are asked to approximate

it will give you 1,556