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
uysha [10]
3 years ago
6

The linear function f i with values f(-1) = 10 and f(5) = -1 is f(x)

Mathematics
1 answer:
zhenek [66]3 years ago
3 0
Answer:

Use the two points to compute the slope, m, then use one of the points in the form <span>y=m<span>(x)</span>+b</span> to find the value of b.

Explanation:

The equation for the slope, m, of a line is:

<span>m=<span><span><span>y1</span>−<span>y0</span></span><span><span>x1</span>−<span>x0</span></span></span> [1]</span>

The equation <span><span>f<span>(2)</span></span>=−1</span> tells us that <span><span>x0</span>=2and<span>y0</span>=−1</span>; substitute this into equation [1]:

<span>m=<span><span><span>y1</span>−−1</span><span><span>x1</span>−2</span></span> [2]</span>

The equation <span><span>f<span>(5)</span></span>=4</span> tells us that <span><span>x1</span>=5and<span>y1</span>=4</span>; substitute this into equation [2]:

<span>m=<span><span>4−−1</span><span>5−2</span></span> [3]</span>

<span>m=<span>53</span></span>

Substitute <span>53</span> for m into the equation <span>y=m<span>(x)</span>+b</span>

<span>y=<span>53</span>x+b [4]</span>

Substitute 2 for x and -1 for y and the solve for b:

<span>−1=<span>53</span><span>(2)</span>+b</span>

<span>b=−<span>133</span></span>

Substitute <span>−<span>133</span></span> for b in equation [4]:

<span>y=<span>53</span>x−<span>133</span> [5]</span>

Check:

<span>−1=<span>53</span><span>(2)</span>−<span>133</span></span>
<span>4=<span>53</span><span>(5)</span>−<span>133</span></span>

<span>−1=−1</span>
<span>4=<span>4</span></span>

<span><span>
</span></span>

<span><span>Hope this helps </span></span>

You might be interested in
Is (-3,4) a solution of the inequality y&gt; - 2x – 3?
jeyben [28]

Answer:

  (-3, 4) is a solution

Step-by-step explanation:

The point (-3, 4) is inside the shaded area of the graph, so is a solution.

You can check in the inequality

  y > -2x -3

  4 > -2(-3) -3 . . . . substitute for x and y

  4 > 3 . . . . . . . true; the given point is a solution

8 0
3 years ago
Se tiene que elaborar un cartel de forma triangular, uno de los lados debe medir 30 cm y el otro
Marianna [84]

La medida aproximada del lado faltante según el teorema de desigualdad de triángulos es:

  • más de 12 cm y menos de 48 cm

De acuerdo con el teorema de la desigualdad del triángulo que establece que;

La suma de la longitud de 2 lados cualesquiera de un triángulo debe ser mayor que el tercer lado.

Dado que :

a = 30 cm; b = 18 cm; c =?

Basado en el teorema de la desigualdad del triángulo;

  • c debe ser <(a + b)
  • c <(30 + 18); c <48 cm
  • También c> (a - b)
  • c> (30 - 18); c> 12 cm

Por lo tanto, el lado faltante debe ser menor que 48 y mayor que 12.

Más información: brainly.com/question/18345497?referrer=searchResults

7 0
2 years ago
Please help with this question
stiks02 [169]

Answer:

I don't know

Step-by-step explanation:

7 0
2 years ago
The costs of 5 similar digital cameras and 3 similar video cameras is $3,213. Each video camera costs 4 times as much as each di
mariarad [96]
Let,
digital cameras be "x"
video cameras be "y"
Now,
According to the question,
5x + 3y = $3,213..................................................equation (1)
y = 4x..................................................................equation (2)

Taking equation (1)
5x + 3y = $3,213
Substituting the value of "y" from equation (2), we get,
5x + 3(4x) = $3,213
5x + 12x = $3,213
17x = $3,213
x = $3,213 / 17
x = $189

Taking equation (2)
y = 4x
Substituting the value of "x", we get,
y = 4 ($189)
y = $756

Now,
John buys a digital and a video camera. So, it costs him ($189 + $756) = $945

7 0
3 years ago
6a*2-a-15 factoring and soulutions
eduard
6a(2)-a-15
=12a+-a+-15
Combine Like Terms:<span>=<span><span><span>12a</span>+<span>−a</span></span>+<span>−15</span></span></span><span>=<span><span>(<span><span>12a</span>+<span>−a</span></span>)</span>+<span>(<span>−15</span>)</span></span></span><span>=<span><span>11a</span>+<span>−15</span></span></span>Answer:<span>=<span><span>11a</span>−15</span></span> <span>

Close Ad

</span>

4 0
3 years ago
Other questions:
  • If (-7,43) and (4,-12) are two anchor points on the trend line, then find the equation of the line
    10·1 answer
  • A sugar mixture has 3 parts water and 2 parts sugar. Suppose the chef adds one more part to each. What is the new ratio of sugar
    10·2 answers
  • Please someone help me with this.
    13·1 answer
  • Is the statement (35)4 = (34)5 true?
    14·2 answers
  • Which number is irrational?
    6·2 answers
  • Jesse is not allowed to work more than 20 hours each week at his part time job . He has already worked 4 hours this week. The in
    5·2 answers
  • Find the largest factor of 2520 that is not divisible by 6.
    13·2 answers
  • Can i get some help with geometry​
    8·1 answer
  • 5(8x-3)+4(-6x-4)<br> Distribute then simplify
    7·2 answers
  • 9&gt;d, if d=3 <br> True or false
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!