All categories

2 years ago

What is the gradient of the graph shown

Mathematics

1 answer:

Keith_Richards [23]2 years ago

5 0

9514 1404 393

Answer:

Step-by-step explanation:

The gradient is the ratio of "rise" to "run". Here, it appears the line crosses the y-axis at y = -1. It appears that it also crosses the grid intersection at (1, 2). This represents a "rise" (change in y) of (2 -(-1)) = 3, for a "run" (change in x) of (1 -0) = 1. Then the gradient is ...

m = rise/run = 3/1 = 3

The gradient of the graph is 3.

You might be interested in

Which addition does this model represent.

Elina [12.6K]

It represents the first one 3+(-1)

5 0

2 years ago

An arts academy requires there to be 4 teachers for every 84 students and 3 tutors for every 30 students. How many students does

Sonja [21]

Answer:

21 students per teacher

10 students per tutor

10 tutors needed for 110 students

Step-by-step explanation:

84 ÷4=21

30÷3=10

110÷10=10

6 0

3 years ago

The roots of a quadratic equation ax2+bx+c=0 are 3+sqrt2 and 3−sqrt2. Find the values of b and c assuming that a=1.

slamgirl [31]

Answer:

$b=-6\\c=7$

Step-by-step explanation:

we know that

The general equation of a quadratic function in factored form is equal to

$y=a(x-x_1)(x-x_2)$

where

a is a coefficient of the leading term

x_1 and x_2 are the roots

we have

$a=1\\x_1=3+\sqrt{2}\\x_2=3-\sqrt{2}$

substitute

$y=(1)(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))$

Applying the distributive property convert to expanded form

$y=x^2-x(3-\sqrt{2})-x(3+\sqrt{2})+(3+\sqrt{2})(3-\sqrt{2})$

$y=x^2-(3x-x\sqrt{2})-(3x+x\sqrt{2})+(9-2)$

$y=x^2-3x+x\sqrt{2}-3x-x\sqrt{2}+7$

$y=x^2-6x+7$

therefore

$b=-6\\c=7$

7 0

3 years ago

What does h(40)=1820 mean it terms of problem?!!! HELPP

mylen [45]

Answer:

D is the correct option.

Step-by-step explanation:

In the given table, the first column is for "hours of training" and the second column is for "Monthly pay".

Now, we have to state the meaning of the term h(40)=1820.

In coordinate system we can write this as (40,1820).

Since, the first column represents "hours of training" and second column is for "Monthly pay". Hence, we can say that for 40 hours of training the monthly payment is $1820.

In other words, if the training attended by the worker is 40 hours, h/she would pay $1820.

Therefore, D is the correct option.

5 0

4 years ago

Sushil is 6 years older than Brian. Caroline is 5 years younger than Brian. If the total of their ages is 64, how old is the you

Nadusha1986 [10]

Answer:

16 years old

Step-by-step explanation:

Let's use the letters s, b, and c for Sushil, Brian, and Caroline's ages. Sushil is the oldest, followed by Brian, and then Caroline, the youngest. From the problem description, we can set up three equations:

s = b + 6 (Sushil is 6 years older than Brian)

c = b - 5 (Caroline is 5 years younger than Brian)

s + b + c = 64 (The total of their ages is 64)

Since s and c are already in terms of b, we can substitute them into the last equation and solve to find Brian's age:

(b + 6) + b + (b - 5) = 64

3b + 1 = 64

3b = 63

b = 21

Now that we know Brian's age, we can simply subtract 5 to find Caroline's:

c = b - 5 = 21 - 5 = 16 years old.

8 0

3 years ago