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sveta [45]
2 years ago
7

Help...(MATH).......

Mathematics
1 answer:
Hitman42 [59]2 years ago
7 0

If f(x) = √x and g(x) = 7x + b, then

f(g(x)) = f(7x + b) = √(7x + b)

If the plot of f(g(x)) passes through (4, 6), then

f(g(4)) = √(7•4 + b) = √(28 + b) = 6

Solve for b :

√(28 + b) = 6

(√(28 + b))² = 6²

28 + b = 36

b = 36 - 28

b = 8

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2n²+3n=27 <br><br>2t²-162=0 <br>find the roots of each equation.​
ASHA 777 [7]

Answer:

n = 3, n=-\frac92; t=9, t=-9

Step-by-step explanation:

Second one is faster, so let's get rid of it first.

Divide by 2 to make numbers easier, and we get

t^2-81 = 0. You should recognize 81 is 9 squared, and both -9 and +9, when squared, give 81, we have our solution.

Now the first. I can't spot any quick trick to solve it, so quadratic formula it is. Let's rememer it: if

ax^2 +bx+c=0 then

x={{-b \pm \sqrt{b^2-4ac}}\over 2a

Let's bring the first equation in the standard form and calculate the quantity over the square root (usually called with the greek letter delta, \Delta) to the side.

2n^2+3n-27 =0\\\Delta = (3)^2 -4(2)(-27) = 9+(8)(3)(9) = 9(1+24)= 9 \cdot25 =(3\cdot5)^2

now we can apply the formula:

n={{-3\pm15}\over4} Let's split the two cases now

n= \frac{-3+15}4 = \frac{12}4=3\\n= \frac{-3-15}4 = \frac{-18}4 =-\frac92

5 0
3 years ago
Plz help me with this
Oxana [17]

Answer:

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Step-by-step explanation:

3 0
3 years ago
PLEASE HELP ME WITH ALGEBRA PROBLEMS PLEASEEEE
Nat2105 [25]

Answer:


Step-by-step explanation:

In the first part the given polynomial is 3x^{3}-2x^{2}+x-1, we have to divide this polynomial by (x-1) using synthetic division.

Here are the steps of synthetic division

Step 1: Set up the synthetic division table in which the coefficients are written in descending power of x.

Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.

Step 3:  Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient.  Here, a is 1(taken from divisor)

Step 4:  Add the column made in step 3.  Repeat these steps until the last column reached.

In the second part,

It is given that divisor polynomial is the factor of given polynomial then we have to tell the remainder which is 0 because if divisor polynomial is the factor the it will completely divide the given polynomial which gives remainder 0.

In the third part,

Given when one uses the synthetic division to divide by (x-3) then what number is used to multiply each term that is dropped down or added.

As explained the steps of synthetic division in first part

x-3=0 ⇒ x=3 which is a

In step 3, Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. So, 3 is multiplied.

As explained in Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.

The columns which is formed by above steps are added.





3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=x%283x%20%2B%207%29%20-%203x%20%3D%200" id="TexFormula1" title="x(3x + 7) - 3x = 0" alt="x(3x
sineoko [7]

Answer:

X=0

Step-by-step explanation:

7 0
3 years ago
In Diagram 1, the value of x is what?
Bezzdna [24]

Answer:

x = 18.75

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

3x-10 = 65-x

Add x to each side

3x-10+x = 65-x+x

4x-10 = 65

Add 10 to each side

4x-10+10 = 65+10

4x = 75

Divide each side by 4

4x/4 = 75/4

x = 18.75

8 0
3 years ago
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