1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
schepotkina [342]
3 years ago
11

6(a)If the gradient of the straight line

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

Answer:

(i) k =1

(ii) y-intercept is 7

Step-by-step explanation:

<u>Given line:</u>

  • ky = kx + x + 7

<u>Divide all terms by k to get slope-intercept form of the line</u>

  • y = (1 + 1/k)x + 7/k

<u>Since the gradient (slope) of the line is 2:</u>

  • 1 + 1/k = 2
  • 1/k = 1
  • k = 1

<u>The equation is now:</u>

  • y = 2x + 7

<u>y - intercept is found when x = 0</u>

  • x = 0 ⇒
  • y = 2*0 + 7
  • y = 7

You might be interested in
Find f(5) please explain
kirza4 [7]

Answer:

-1

Step-by-step explanation:

A function is represented by the following symbol f(x) where f(x) further represents y like this ,

y=f(x)

so in this question they are asking what is f(5) which means when the value of x is 5 what is the value of y?

We can see in the graph when x = 5 the value of y is -1 to be exact so

f(5) = -1

or

y=f(x)\\-1 = f(5)\\

8 0
3 years ago
A boat can travel 105 miles on 15 gallons of gasoline. How much gasoline will it need to go 140 miles?
Mrac [35]

Answer:

20 gallons

Step-by-step explanation:

105/15=7

7*20=140

4 0
3 years ago
Read 2 more answers
How does the Counting Principle help when determining the sample space for a probability distribution?
andreyandreev [35.5K]

Answer:

This is also known as the Counting rule.

The Fundamental Counting Principle is used in determining all the possible outcomes and the total possible ways different events can be combined with each other. It is usually done by multiplying all the events together to get the total possible outcome. Doing this also helps in determining the sample space of a probability.

For example there are events a, b and c. The total sample space or possible outcome will be a*b*c.

7 0
3 years ago
Thirteen percent of the profits from Kendall’s business are donated to charities.write and solve an equation to find out how muc
pychu [463]

The amount given to charity from Kendall’s profit is $168.0146

Given:

  • Kendall’s profit = $1292.42
  • Percentage given to charity = 13%

<h3>How to find percentage</h3>

Amount given to charity = Percentage given to charity × Kendall’s profit

= 13% of $1292.42

= 13/100 × 1292.42

= 0.13 × 1292.42

= $168.0146

Therefore, the amount given to charity from Kendall’s profit is $168.0146

Learn more about percentage:

brainly.com/question/843074

5 0
2 years ago
We did not find results for: A measure of​ malnutrition, called the​ pelidisi, varies directly as the cube root of a​ person's w
asambeis [7]
\bf \qquad \qquad \textit{double proportional variation}\\\\&#10;\begin{array}{llll}&#10;\textit{\underline{y} varies directly with \underline{x}}\\&#10;\textit{and inversely with \underline{z}}&#10;\end{array}\implies y=\cfrac{kx}{z}\impliedby &#10;\begin{array}{llll}&#10;k=constant\ of\\&#10;\qquad  variation&#10;\end{array}\\\\&#10;-------------------------------\\\\

\bf \begin{cases}&#10;p=pedalisi\\&#10;w=weight\\&#10;s=\textit{sitting height}&#10;\end{cases}\quad &#10;\begin{array}{llll}&#10;%pelidisi, varies directly as the cube root of a​ person's weight in grams and inversely as the​ person's sitting height in centimeters.&#10;\textit{pelidisi varies directly}\\&#10;\textit{as cube root of weight}\\&#10;\textit{and inversely to }\\&#10;\textit{sitting height}&#10;\end{array}\implies p=\cfrac{k\sqrt[3]{w}}{s}\\\\&#10;-------------------------------

\bf \textit{we know that }&#10;\begin{cases}&#10;w=48,820\\&#10;s=78.7\\&#10;p=100&#10;\end{cases}\implies 100=\cfrac{k\sqrt[3]{48820}}{78.7}&#10;\\\\\\&#10;100\cdot 78.7=k\sqrt[3]{48820}\implies \cfrac{7870}{\sqrt[3]{48820}}=k&#10;\\\\\\&#10;thus\qquad \boxed{p=\cfrac{\frac{7870}{\sqrt[3]{48820}}\sqrt[3]{w}}{s}}&#10;\\\\\\&#10;\textit{now, what is \underline{p} when }&#10;\begin{cases}&#10;w=54,688\\&#10;s=72.6&#10;\end{cases}?\implies p=\cfrac{\frac{7870}{\sqrt[3]{48820}}\sqrt[3]{54688}}{72.6}

now, if that value is less than 100, then the fellow is "undernourished", otherwise, is overfed.
3 0
3 years ago
Other questions:
  • How can I list 2.3, 2 4/5, 2.6 in order from greatest to least
    6·1 answer
  • three people alice , ben , calvin, are conversing at a taxi stand since taxis are the only ride service in this town. although t
    7·1 answer
  • What is the area of this parallelogram?
    15·1 answer
  • 75 percent of 225 million
    6·1 answer
  • The school track has eight lanes. Each lane is 1.25 meters wide. The arc at each end of the track is 180. The distance of the ho
    15·1 answer
  • What is the constant of proportionality in the equation y = 2/3x?
    7·1 answer
  • What does h(40) =1400 mean in terms of the problem ?
    7·2 answers
  • What is the slope of the graph of 4x-16y=15. Also can you please show your work trying to better understand
    8·1 answer
  • Toni can carry up to 19 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 2 lb, and her books (b) weigh 4 lb each
    9·1 answer
  • »How many lines of symmetry does this figure have? x​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!