A man drives 3 km east from home to the store and then 2 km west to a friend’s house. What is his displacement from his starting point at home?

Answer:

y = x² - 3x - 4

Step-by-step explanation:

Given that the x- intercepts are x = - 1 and x = 4, then the corresponding factors are

(x + 1) and (x - 4) and the quadratic is the product of the factors, that is

y = (x + 1)(x - 4) ← expand using FOIL

y = x² - 3x - 4

Answer:

G = 14 - 1.75(t)

Where G is the number of gallons of gas remaining;

14 represents the amount of gas in gallons in the full gas tank of the vehicle

t is the number of hours

Step-by-step explanation:

Here, we want to write an equation.

We are told that the car uses 1.75 gallons of gas every hour and after 4 hours 7 gallons were left

In the 4 hours, the amount of fuel used will be 1.75 * 4 = 7 gallons

So therefore since we have 7 gallons left, the amount of gallons in the full tank of the vehicle will be 7 + 7 = 14 gallons

Hence, the equation we want to write will be;

G = 14 - 1.75(t)

Answer:

x2

Step-by-step explanation:

you multiply 1x2 to get 2 and multiple 3x2 to get 6

pls mark brainly :)) hope you have a good day

Answer:

[tex]\boxed {x = -4}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]9(5 - x) = 81[/tex]

-Use Distributive Property:

[tex]9(5 - x) = 81[/tex]

[tex]45 - 9x = 81[/tex]

-Subtract [tex]45[/tex] to both sides:

[tex]45 - 45 - 9x = 81 - 45[/tex]

[tex]-9x = 36[/tex]

-Divide both sides by:

[tex]\frac{-9x}{-9} = \frac{36}{-9}[/tex]

[tex]\boxed {x = -4}[/tex]

So, the value of [tex]x[/tex] is [tex]-4[/tex].

Answer:

(2x+5)−23=10

2x - 28  =   2 • (x - 14)

2=0

Add  14  to both sides of the equation :

                     x = 14

Step-by-step explanation:

X=14

Answer: 14

Combine like terms

sadmep

Answer:

Yes

Step-by-step explanation:

since this inequality can be represented by 0<x<7. And by absolute value form

|2x-7|< 7. As you can see 4 is greater than zero and less than 7.

Answer:

I honestly don't know?????? but I know some but I can't see the word clearly???!

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

For this situation we have the equation [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], where each variable represents a coordinate (e.g. in this case 4 could be [tex]y_{1}[/tex]). So first, let's define which coordinates will be the values of these variables:

(3,4): [tex]x_{1}, y_{1}[/tex]

(5,9): [tex]x_{2}, y_{2}[/tex]

Now we need to replace each variable with its given value: [tex]m = \frac{9-4}{5-3}[/tex]

And then do the subtraction to simplify: [tex]m=\frac{5}{2}[/tex]

Therefore, the slope of the line that passes through the points (3,4) and (5,9) is [tex]\frac{5}{2}[/tex].

Answer:

Option 3

Step-by-step explanation:

to get inverse function, swap x and y first:

f(x)=5x : y=5x --> x=5y

solve for y: y=1/5 x

use inverse notation: f^-1(x)=1/5 x

Answer:

Strawberry- 6  12  18

Banana -      1    2   3

Hope this helps :)

Step-by-step explanation:

Answer: 2 /21

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2/5 x 10 = 4

Step-by-step explanation:

Okay, don't panic. Use M-a-t-h-w-a-y. It's online and it can help with all of these problems. <3 I currently have my own OVERDUE math test to do, so I would do this all but I'm time-tight too! aha

Answer:

X < -2 or x > [tex]\frac{11}{6}[/tex]

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

Answer:

The slope IS NOT 3.

So the statement is FALSE.

Step-by-step explanation:

y = mx + b

If we change the graph shown into the format shown above it would be:

y = 1x - 3

mx = slope

Slope = 1x

b = y-intercept

b = -3

To find the slope you must do:

[tex]\frac{y}{x} =\frac{RISE}{RUN}[/tex]

y = rise

x = run

In the graph shown, the points are going up and shift to the right 1 unit.

So the slope is: 1x

Therefore, the statement, "The slope is 3" is actually false.

Answer:

-2x + y = -3

Step-by-step explanation:

First, distribute the right side:

y+5 = 2x+2

Then, subtract both sides by 2x:

-2x + y + 5 = 2

Lastly, subtract both sides by 5:

-2x + y = -3

Hope this helped. If it did, please consider giving brainliest? :)

Answer:

Step-by-step explanation:

Since, ΔBCM ≅ ΔZYR,

∠B ≅ ∠Z

∠C ≅ ∠Y

∠M ≅ ∠R

And BC ≅ ZY

CM ≅ YR

BM ≅ ZR

a). CM = YR = 11 m

b). BM = RZ = 15 m

c). YZ = BC = 8 m

d). m∠B = m∠Z = 45°

e). m∠M = 180° - [m(∠B) + m(∠C)]

              = 180° - (45 + 103)°

              = 180° - 148°

              = 32°

f). m∠Y = m∠C = 103°

Congruent triangles have equal corresponding sides and angles

The given parameter is:

[tex]\triangle BCM \cong \triangle ZYR[/tex]

This means that triangle BCM and ZYR are congruent.

So, we have the following congruent sides

[tex]YZ =CB[/tex]

[tex]BM =ZR[/tex]

[tex]CM =YR[/tex]

So, the measure of the side lengths are:

[tex]YZ =8[/tex]

[tex]BM =15[/tex]

[tex]CM = 11[/tex]

Also, we have the following congruent angles

[tex]\angle B = \angle Z[/tex]

[tex]\angle C = \angle Y[/tex]

[tex]\angle M = \angle R[/tex]

So, the measure of the angles are

[tex]\angle B =45[/tex]

[tex]\angle Y =103[/tex]

The measure of angle M is calculated using:

[tex]\angle M + \angle C + \angle B = 180[/tex]

So, we have:

[tex]\angle M + 103 + 45= 180[/tex]

[tex]\angle M + 148= 180[/tex]

Subtract 148 from both sides

[tex]\angle M = 32[/tex]

Read more about congruent triangles at:

https://brainly.com/question/11329400

Answer:

[tex]x^2\sqrt{x+5} -2\sqrt{x+5}[/tex]

Step-by-step explanation:

use foil

[tex]x^2\sqrt{x+5} -2\sqrt{x+5}[/tex]

cannot be simplified any further so it's the answer

Answer:

84 m^2

Step-by-step explanation:

Area is Length times width

12 times 7 is 84

Answer:

Yuri read 12  more books than Hiro.

Step-by-step explanation:

17-5=12

Answer:

its -3/8

Step-by-step explanation:

The answer is 10 inches.

Answer:

x = -8

Step-by-step explanation:

Hope This Helps!

Plz mark Brainliest

Answer:

x=−8

Step-by-step explanation:

Let's solve your equation step-by-step.

−6=3/8x−2+

1/8x

Step 1: Simplify both sides of the equation.

−6=3/8x−2+1/8x

−6=3/8x+−2+1/8x

−6=(3/8x+1/8x)+(−2)

(Combine Like Terms)

−6=1/2x+−2

−6=1/2x−2

Step 2: Flip the equation.

1/2x−2=−6

Step 3: Add 2 to both sides.

1/2x−2+2=−6+2

1/2x=−4

Step 4: Multiply both sides by 2.

2*(1/2x)=(2)*(−4)

Answer:

1

Step-by-step explanation:

Characters are developed in the passage through their actions. Therefore, option A is correct.

Characters are the people, animals, or entities portrayed in a literary work such as a passage, story, or novel. They are often the main focus of the narrative and drive the plot forward.

A character can be developed through various literary techniques such as actions. Their traits, motivations, and relationships with other characters help to create a deeper understanding of the story and its themes.

Well-developed characters often feel like real people, with complex personalities, histories, and emotions, which helps to engage the reader and create a sense of empathy or connection. Therefore, option A is correct.

Learn more about characters, here:

https://brainly.com/question/13141964

#SPJ3

Answer:

39

Step-by-step explanation:

3(5+5-3)

15+15+9

30+9

39

Answer:

your answer would be 21 hope i helped:)

Step-by-step explanation:

Answer:

38 ≥ 14p + 9b

Step-by-step explanation:

Answer:

83≤14p+9b

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

Volume of a cuboid or rectangular tank = side × side × side

or

volume of a cuboid or rectangular tank = length× width × height

volume of the rectangular tank = 76 × 50 × 40

volume of the rectangular tank = 152000cm³

Therefore the rectangular tank can hold 152000cm³ litres of water