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
coldgirl [10]
3 years ago
10

find the constant m and b in the linear function f(x)=mx+b so that f(6)=9 and the straight line represents by f has slope -4

Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0

Answer:

The constant m=-4, and b=33

Step-by-step explanation:

F(x)= MX+b

If f(6)=9 then x=6, m= -4

9= -4(6) + b

9= -24 + b

b= 9 + 24

b= 33

Therefore the constant m, which is the slope is -4 and b which is the intercept is 33

You might be interested in
Simplify.<br><br> 38√<br><br><br><br><br> 3√4<br><br> 6√8<br><br> 24√8<br><br> 6√4
Naya [18.7K]

Answer:

the first one i believe

Step-by-step explanation:

hope this helps

5 0
3 years ago
Can we obtain a diagonal matrix by multiplying two non-diagonal matrices? give an example
polet [3.4K]
Yes, we can obtain a diagonal matrix by multiplying two non diagonal matrix.

Consider the matrix multiplication below

\left[\begin{array}{cc}a&b\\c&d\end{array}\right]   \left[\begin{array}{cc}e&f\\g&h\end{array}\right] =  \left[\begin{array}{cc}a e+b g&a f+b h\\c e+d g&c f+d h\end{array}\right]

For the product to be a diagonal matrix,

a f + b h = 0 ⇒ a f = -b h
and c e + d g = 0 ⇒ c e = -d g

Consider the following sets of values

a=1, \ \ b=2, \ \ c=3, \ \ d = 4, \ \ e=\frac{1}{3}, \ \ f=-1, \ \ g=-\frac{1}{4}, \ \ h=\frac{1}{2}

The the matrix product becomes:

\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}\frac{1}{3}&-1\\-\frac{1}{4}&\frac{1}{2}\end{array}\right] = \left[\begin{array}{cc}\frac{1}{3}-\frac{1}{2}&-1+1\\1-1&-3+2\end{array}\right]= \left[\begin{array}{cc}-\frac{1}{6}&0\\0&-1\end{array}\right]

Thus, as can be seen we can obtain a diagonal matrix that is a product of non diagonal matrices.
8 0
3 years ago
Read 2 more answers
The mapping diagram shows a functional relationship
Gre4nikov [31]

Answer:

f(4)=\frac{1}{2}

f(x) = 4 when x is 8

Step-by-step explanation:

Domain is the set of x values that make the function defined. Allowed x values for the function (mapping).

The Range is the set of y values that make the function defined. Allowed y values for the function (mapping).

  • Whenever we need to find f(a), suppose, then we look for "a" in the domain and see its corresponding value mapping in the range.
  • Whenever we will be given a value for f(x) = a, suppose, and we have to find "x", we look at the value a in the range and find corresponding x value in the domain.

Firstly, we need f(4), so we look for "4" in domain and see which number it corresponds to in range.

That is \frac{1}{2}

Thus,

f(4)=\frac{1}{2}

Next,

We want "x" value that gives us a "y" value of 4. We look for "4" in the range and see which value it corresponds to. That is "8". So,

f(8) = 4

8 0
4 years ago
james has a piece of construction paper with an area of 65 1/4 inches is 9 2/3 inches long. What is the width of a piece of cons
Aneli [31]
  • divide 65 1/4  with 9 2/3 you will get 6 3/4.
  • so width is 6 3/4
3 0
3 years ago
Read 2 more answers
8x+3=8x I need help
ANEK [815]
X=5/8 that is the answer lol
5 0
3 years ago
Other questions:
  • Solve the equation (16h^2-8h)=0<br> It is Algebra 8 lesson 7.4 zero prod prop<br> need help asap
    8·2 answers
  • If a line crosses the y-axis at (0,1) and has a slope of 4/5, what is the equation of the line ?
    5·1 answer
  • Write y=0.83 x + 39 in standard form
    5·1 answer
  • What is the value of the expression with a = -1.4 and b = -2.7?
    10·1 answer
  • The radius of a circle is 13miles. what is the area of a sector bounded by a 20 degree arc
    15·1 answer
  • What is the volume of a cylinder with a hight of 9 cm and a diameter of 6
    8·2 answers
  • 18,54,162,... what is the 8th term.
    7·2 answers
  • David has $40,000 in a savings account. The interest rate is 5% per year. How much
    10·1 answer
  • Find the distance between the two numbers on a number line. Write your answer as a fraction in simplest form. - 7/9, - 2/9 The d
    8·1 answer
  • The mean per capita consumption of milk per year is 144 liters with a variance of 484. If a sample of 183 people is randomly sel
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!