Let f:R+ R be defined by f(x)= ax+b, x £ R. If f(1) =5 and f(-4)= - 5, find the values of a and b and find the function f(x).​

Answers

Answer 1

Answer:

a=2 b=3

Step-by-step explanation:

all you'll gat in pic


Related Questions

Write an equation for the line that is parallel to 8x + 2y = 4 and goes through (0,7)​

Answers

Answer:

y = -4x +7

Step-by-step explanation:

First, we need to find the slope of the first equation

8x + 2y = 4

Subtract both sides by 8x

8x + 2y = 4

-8x         -8x

2y = -8x + 4

Then divide both sides by 2 to isolate the variable, y

2y/2 = (-8x + 4)/2

y = -4x + 4

This means the slope is -4, so our other equation will need to have the slope of -4 to be parallel

y = -4x + ?

Wait, the equation also needs to be a line where it goes through (0,7)

Luckily, that just seems to be the y-intercept, so our work is cut out for us.

Here is our equation

y = -4x + 7

You can plug in the numbers to check

7 = -4(0) +7

7 = 0 + 7

7 = 7

Write a quadratic equation in standard form that has roots of -12 and 2

Answers

Answer:

x² + 10x - 24

Step-by-step explanation:

Given the roots are x = - 12 and x = 2 then the corresponding factors are

(x + 12) and (x - 2) and their product equals zero , that is

(x + 12)(x - 2) = 0 ← expand using FOIL

X² + 10X - 24 = 0

NEED THE ANSWER ASAP, PLEASE HELP!! What are the coordinates of the focus of the parabola?

y=−18x2−2x−4

Answers

Answer:

Vertex is (-8, 4)  not one of the answers offered!

Step-by-step explanation:

Factor -1/8 out of the first two terms. Leave a space inside parentheses in which to add a number.

[tex]y=-\frac{1}{8}(x^2 + 16x + \text{-----})-4[/tex]

Complete the square by squaring half the coefficient of x and adding it in the space.

[tex](\frac{16}{2})^2=64[/tex]

Add 64 in the space you made, then compensate for that at the end of the expression by subtracting  [tex]-\frac{1}{8}(64)=-8[/tex]

[tex]y=-\frac{1}{8}(x^2+16x+64)-4+8\\y=-\frac{1}{8}(x+8)^2+4[/tex]

The x-coordinate of the vertex is the opposite of +8, the number inside the parentheses.  The y-coordinate of the vertex is the number at the end of the expression.

V(-8, 4)

HOW MANY DEGREES IN A COMPLIMENTARY ANGLE???

Answers

There are 90 degrees in a complimentary angle (right angle)

90 degrees

pls give me brainliest

Using exponential notation

Answers

Hello there!

Law of Exponent

[tex] \displaystyle \large{ {a}^{ \frac{m}{n}} = \sqrt[n]{ {a}^{m} } }[/tex]

The first problem asks us to write the cube root of 17 in exponential form. Refer the exponent's law above.

[tex] \displaystyle \large{ \sqrt[3]{17} = \sqrt[n]{ {a}^{m} } }[/tex]

Compare the terms.

a = 17m = 1n = 3

Hence,

[tex] \displaystyle \large{ \sqrt[3]{17} = {17}^{ \frac{1}{3} } }[/tex]

The second problem asks us to write 13^{1/2} in radical form. Refer the law above.

[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = {a}^{ \frac{m}{n} } }[/tex]

Compare the terms.

a = 13m = 1n = 2

Hence,

[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = \sqrt{13} }[/tex]

Conclusion

First answer is 17^{1/3}Second answer is √13

Let me know if you have any questions!

Topic: Exponent / Fractional Exponent and n-th root /

The cube of the difference of a number and 4

Answers

Answer:

(x - 4)³

Step-by-step explanation:

"The cube of x" would be x³.  The difference of a number and 4 would be x - 4.

Therefore, "the cube of the difference of a number and 4" would be

(x - 4)³

Y'ALL, WOULD A KIND SOUL PLEASE PLEASE HELP ME???!!!!!!!!!!! im running out of points

Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be completed.

show how you got your answer so I can see if it makes any sense!!!

Answers

1. ∠A and ∠B are complementary

2. ∠A + ∠B = 90° and ∠B + ∠C = 90°

3. ∠A = 90° - ∠B

4. ∠C = 90° - ∠B

5. ∠A ≅ ∠C

2/3 divided by 1 3/7

Answers

Answer:0.46

Step-by-step explanation:

A bag contains yellow-blue-, orange-, green-, red- and black-colored crayons The table below shows the results of selecting one crayon from the bag, recording the color and then replacing the crayon. What is the experimental probability of selecting a crayon that is either orange or red?​

Answers

10 times out of 10 because red and orange are very important colors and are easily picked

A man is37years old and his child is eight.how many years ago was the product of their ages 96​

Answers

Answer:

WHEN X =5 LHS = 32*3 => 96 IS EQUAL TO RHS. therefore five years ago their product of ages is equal to 96.

hope this helps!

Solve simultaneously :
a) y=2x-3
2y+x=4​

Answers

Answer:

hope this helps you

have a great day

which number has a 3 that is ten times greater than the 3 in 513

Answers

Answer:

5130

Step-by-step explanation:

You just multiply 513 by 10 to get 5130.

You can check this answer by just seeing if it fits the requirements, which it does. Making it the correct answer.

write each fraction number as a decimal write each fraction number as a decimal 4/33

Answers

0.12 as a decimal!!!!!!!!!!

divide 6q by q please solve this and help me to get out of this​

Answers

Step-by-step explanation:

the answer is 6

please mark me brainliest

Answer:

[tex] \frac{6q}{q} \\ \frac{6 \times q}{q} \\ when \: q \: is \: divided \: by \: q \: then \: the \: remainder \: is \: 1 \\ 6 \times 1 \\ 6[/tex]

what is ⅓ + ⅒? please​

Answers

Answer:13 over 30

13/30 or 0.433

Step-by-step explanation:

What is the solution set to this equation?
log4 (x + 3) + log4x =1

A. x=0
B. x=1
C. x=1 and x= -4
D. x=-3 and x=0

Answers

Answer:

B

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log (xy)

[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]

Given

[tex]log_{4}[/tex] (x + 3) + [tex]log_{4}[/tex] x = 1 , then

[tex]log_{4}[/tex] x(x + 3) = 1

x(x + 3) = [tex]4^{1}[/tex] = 4

x² + 3x = 4 ( subtract 4 from both sides )

x² + 3x - 4 = 0 ← in standard form

(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

However, x > 0 , thus x = 1

tim x: 3x(x-2) + 2(2-x)=0

Answers

Answer:

Assuming this is the full problem.

3x^2-8x+4

Step-by-step explanation:

write an expression that means the same as the sentence. "the sum of sixteen and g is equal to seventy divided by seven. "​

Answers

Answer:
16+g=70/7
Explanation:
. . .

Write the rational numbers whose multiplicative inverse are themselves​

Answers

Answer:

the rational numbers whose multiplicative inverse are themselves are 1& -1.

hope it helps .stay safe healthy and happy.

rovers,United and City are football teams
rovers scored x goals
United scored 8 goals more than rovers
City scored 3 goals less than twice the number of goals scored by rovers
the three teams scored a total of 117 goals
solve to find the value of x​

Answers

Based on the information given, the value of x is 28 which means that Rovers scored 28 goals.

Number of goals scored by Rovers = x

United scored 8 goals more than rovers. This will be = x + 8

City scored 3 goals less than twice the number of goals scored by rovers. This will be: = 2[x} - 3 = 2x - 3

Since the three teams scored a total of 117 goals, this will be:

x + x + 8 + 2x - 3 = 117

Collect like terms

4x = 117 - 8 + 3

4x = 112

x = 112/4

x = 28

The value of x is 28

Read related link on:

https://brainly.com/question/24424070

Find the equation of the line that has the given properties. Express the equation in slope-intercept form.
Slope = -9; Y-intercept = 6
What is the equation of the line?
y =

Answers

Answer:

y = -9x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slopeb = y-intercept

Therefore, the equation is y = -9x + 6.

Answer:

y = -9x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b where m = slope and b = y-intercept

Our slope is -9 and our y-intercept is 6

Therefore our equation is y = -9x + 6

What is the equation of the line that passes through the point (6,3) and has a slope
of -1/3?

Answers

The equation is y = -1/3x + 5

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{3}[/tex] , then

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (6, 3 ) into the partial equation

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line

(4) ^ (1/3) * (3 ^ (1/3) * 3 ^ (1/2)) ^ 7 / (9 ^ (3/4))​

Answers

Answer:

Here is your answer . Hope this helps.

If a man earns 90cents every 3 minutes and he works for a day shift of 5hours how much will he earn in that time?

my answer is 9000cents per 5 hours which is also $90 per 5 hours

Answers

Answer:

It is 9000 cents or $90 total for 5 hours

Step-by-step explanation:

Your answer is correct, it would be 9000 cents or 90 dollars

Equation : -2 (4g - 3) = 30

Answers

Answer:

g = -3

Step-by-step explanation:

-2 (4g - 3) = 30

-8g + 6 = 30

-8g = 24

g = -3

Answer:

[tex] \boxed{g = -3} [/tex]

Step-by-step explanation:

[First, distribute the factored term on the left side of the equation (distribution property of equality)]

-2 ( 4g – 3 ) = 30 →

-2 ( 4g ) – -2 ( 3 ) = 30 →

-8g + 6 = 30 →

[Next, subtract 6 from both sides (subtraction property of equality)]

-8g + 6 – 6 = 30 – 6 →

-8g = 24 →

[Finally, divide both sides by -8 to cancel out the coefficient of -8 in -8g and reduce it to solve for g (division property of equality)]

-8g / -8 = 24 / -8 →

g = -3

Which is an equivalent form of the expression 1800(1.2)-t?

Answers

Answer:

2160 - t

Step-by-step explanation:

1800(1.2)-t

2160 - t

1.) -6v²w³ (v² - 11v²w⁵ + 6w⁴)

2.) -10x⁴y⁴ (x⁴ - 4x⁴y⁴ + 4y³) ​

Answers

1) -6v^4w^3 + 66v^4w^8 - 36v^2w^7

2) -10x^8y^4 + 40x^8y^8 - 40x^4y^7

50 km/h to miles per hour

Answers

31.0686 miles per hours

31.069 miles per hour

helpppppppppppp fast ill mark you brainlist or whatever !!! hurry i have one try


Elisa withdrew $22 at a time from her bank account and withdrew a total of $198. Frances withdrew $45 at a time from his bank account and withdrew a total of $270. Who made the greater number of withdrawals? (select) made the greater number of withdrawals, because she made withdrawals, while (select) only made withdrawals.

Answers

Step-by-step explanation:

Elisa made the greater number of withdrawals, because she made 9 withdrawals, while Frances only made 6 withdraws.

PLEASE HELP FAST!! I CANNOT GET THIS WRONG!!!!
Makayla and David work at a furniture store. Makayla is paid $230 per week plus 7.5% of her total sales in dollars, x, which can be represented by g(x)=230+0.075x. David is paid $321 per week plus 4% of his total sales in dollars, x, which can be represented by f(x)=321+0.04x. Determine the value of x, in dollars, that will make their weekly pay the same.

Answers

Answer:

6

Step-by-step explanation:

you kna mean?

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