Find the product. Simplify your answer.
(q–4)(3q–1)

Multiplying Binomials

Answer:

1) [tex]x = -1[/tex]  ||     2) [tex]x = 10[/tex]

Explanation:

1)

→ [tex]\log _3\left(\frac{1}{3}\right)=x[/tex]

→ [tex]\frac{1}{3} = 3^x[/tex]

→ [tex]3^{-1} = 3^x[/tex]

→ [tex]x = -1[/tex]

2)

→ [tex]\log _3\left(x-1\right)=2[/tex]

→ [tex]x - 1 = 3^2[/tex]

→ [tex]x -1 = 9[/tex]

→ [tex]x = 9 +1[/tex]

→ [tex]x = 10[/tex]

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: log_{ {3} }( \frac{1}{3} ) = x[/tex]

[tex]\qquad \sf  \dashrightarrow \: log_{ {3} }( {3}^{ - 1} ) = x[/tex]

[tex]\qquad \sf  \dashrightarrow \: log_{ {3} }( {3})^{ - 1 } = x[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 1 \times log_{3}(3) = x[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 1 \times 1 = x[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: log_{3}(x - 1) = 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: x - 1 = {3}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 9 + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 10[/tex]

Answer:

5

Step-by-step explanation:

You simply just divide 100 by 20 and get your answer which is 5.

When you distribute something, you are dividing it into parts. In math, the distributive property helps simplify difficult problems because it breaks down expressions into the sum or difference of two numbers

Answer:

  126.7 if B=80

  93.3 if B=70

Step-by-step explanation:

Let F represent the student's score on the final exam, and let B represent the percentage required for a grade of B. Then we must have ...

  0.60(61) +0.10(54) +0.30F = B

  B = 0.30F +42

  F = (B -42)/0.3

__

If a grade of B requires 80 points or more, then the required grade on the final is ...

  F = (80 -42)/0.3 = 38/0.3 = 126 2/3

The student must get 126.7% on their final to achieve an overall average of 80.

__

If a grade of B requires 70 points or more, then the required grade on the final is ...

  F = (70 -42)/0.3 = 28/0.3 = 93 1/3

The student must get 93.3% on their final to achieve an overall average of 70.

Answer:

for a three hour job it would be £105

Step-by-step explanation:

to find how much he charges an hour, we divide 140 by 4 and get 35.

from there we multiply 35(£) by 3(hours) and get 105(£).

Answer:

32°

Step-by-step explanation:

Let the angle next to 121° be a,

a+121°=180°

a=180-121=59°

Now we have a=59°,

89° (given) and x, these threes form a triangle, therefore,

x+a+89°=180°

×+59°+89°=180°

x+148°=180°

x=180°-148°

x=32°

Answer:

congruent and perpendicular

Step-by-step explanation:

Answer:

congruent and perpendicular

Step-by-step explanation:

Answer:

[tex] {7}^{2} [/tex]

[tex]7[/tex]

equations

[tex]9y^2-12y-14=0\\D=(-12)^2-4\times9\times(-14)=144+504=648=(\pm18\sqrt{2})^2 \\\\y_1=\dfrac{12+18\sqrt{2} }{18} =\dfrac{2+3\sqrt{2} }{3} \\\\y_2=\dfrac{12-18\sqrt{2} }{18} =\dfrac{2-3\sqrt{2} }{3}[/tex]

Answer:

Solve the equation for y by finding a,b, and c of the quadratic then applying the quadratic formula.

Desimal Form:  2.08088022…,−0.74754689…

the guy on top of me is right I just gave you the desimal form he/she give you the rest

Step-by-step explanation:

Answer:

120/40=3

Step-by-step explanation: Hope this helps

Answer:

okay ans is A(w)=w2+5w-1/8piw2

Answer:the answer is d

Step-by-step explanation: it a d bc i know

Answer:

Moving to the right by 5 units

Moving up by 1 unit

Step-by-step explanation:

The basic absolute value function is f(x) = |x|

The graph vertex is at the origin.

Adding a value inside the absolute value brackets changes the vertex of the graph horizontally.

Adding a value outside the absolute value brackets changes the vertex vertically.

Here, in the absolute value, we are subtracting by 5, so we move to the right 5

Outside the brackets, we are adding 1, so we move up 1.

-Chetan K

Answer:

1767.15cm^3

Step-by-step explanation:

volume of a sphere is V= 4/3 *pi* r^3

and pi is 22/7 or 3.142

and the value for r is 7.5

therefore v is 4/3 *3.142*7.5^3

v= 1767.15

Answer:

3.36

Step-by-step explanation:

47/14

3 5/14

5 divided 14 is 0.3571428571

0.3571428571 + 3 = 3.357142857

3.357142857

3.36

Answer:

266

Step-by-step explanation:

Based on the given conditions, formulate: 98+168

Calculate the sum or difference:266

Therefore Correct Answer = 266

[RevyBreeze]

Answer:

D

Step-by-step explanation:

5 divided by 5 equals 1 and whatever we do to one side, do to the other. 30 divided by 5 is 6. So, 5 to 30 is equivalent to 1 to 6.

Step-by-step explanation:

total area

20 × 17 = 340cm²

unshaded region

9 × 6 = 54cm²

area of shaded region

340 - 54 = 286cm²

Answer:

  350

Step-by-step explanation:

The solution to the equation can be found by multiplying by the denominator, then dividing by its coefficient.

  [tex]0.22 = \dfrac{77}{x}\qquad\text{given}\\\\0.22x = 77\qquad\text{multiply by $x$}\\\\x=\dfrac{77}{0.22}=350\qquad\text{divide by the coefficient of x}[/tex]

The missing value in the fraction is 350.

__

Additional comment

Here, we have rewritten the percentage as a decimal fraction. You could also rewrite it as a ratio of two integer: 22% = 22/100. Sometimes there is confusion about percentages. It can help to think of the % symbol as meaning /100:

  22% = 22/100

Of course, that is "twenty-two hundredths" or 0.22.

If you just write the problem using 22/100 for 22%, then you get the proportion ...

  22/100 = 77/x

  22x = 7700 . . . . . "cross multiply" (multiply by 100x)

  x = 7700/22 = 350 . . . . divide by the coefficient of x

__

If you're paying attention, you see that the solution of this kind of equation has the appearance that the denominator variable and the left-side value are simply swapped:

  [tex]0.22 = \dfrac{77}{x}\ \leftrightarrow\ x=\dfrac{77}{0.22}[/tex]

Effectively, we have multiplied both sides of the equation on the left by x/0.22. There is a property of equality that lets us do that. There is no such thing as a property of equality that says "swap with denominator." You must always pay attention to what is allowed by the properties of equality.

Answer:

2

Step-by-step explanation:

x^2 = 16

x = + √16

x = + 4

therefore

x= -4 or 4

there are 2 solutions in the equation

Answer:

the surface area would be

94 cm squared

Answer:

Y=4×9^x

Step-by-step explanation:

The points given satisfy the function Y.

Therefore insert points to find value of a and b.

Then verify

Answer:

330

Step-by-step explanation:

When we are at 30 degrees on the unit circle, we are at the point ([tex]\sqrt3[/tex]/2, 1/2) so if we go to -30 degrees (330 degrees), we will be at point  (-[tex]\sqrt3[/tex]/2, -1/2).

Note: (cosine, sine)

Answer:

2pi(5) - 2pi(3)

Step-by-step explanation:

hopefully that helped. just use formula and plug in the radius (:

Answer:

28.26 cm ^2

Step-by-step explanation:

A= [tex]\pi[/tex] r ^2

A= 3.14 x 3 x 3

A = 28.26 cm ^2

Answer:

[tex]p=-10[/tex]

Step-by-step explanation:

Given the following question:

[tex]-5=p+5[/tex]

In order to find the answer, we subtract 5 on both sides:

[tex]-5=p+5[/tex]
[tex]5-5=0[/tex]
[tex]-5-5=-10[/tex]
[tex]-10=p[/tex]
[tex]p=-10[/tex]

Hope this helps.

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

if u put  1.02 into the thousandths it becomes 1.020 which is obviously less than 1.165

Answer: If the radius is 23 then the answer is 1661.9 (WHEN ROUNDED & WITHOUT). If the radius is 11.5 the answer is 415.5 (WHEN ROUNDED)

Step-by-step explanation:
The formula for the area of a circle is: radius x radius x pi/3.14

Answer:

x≥ -5

Step-by-step explanation:

graph a shaded point on -5 and extend the line to the right since it is greater than or equal to -5

Answer:

X ≥-5, you would draw a number line and shade in a closed circle, then point the arrow to the right

Step-by-step explanation:

Answer:

it's a unit fraction by cancelling it

Answer:

Whole fraction

Step-by-step explanation:

40/40

= 1

☆ Since we get 1 as the answer, the fraction is a whole fraction.

Hope it helps ⚜

Answer:

simple math convert mph to fps and multiply by 72: 105.6

Step-by-step explanation: