Answers
Answer: C
Step-by-step explanation:
3x-3 ≥ 0 ==> x ≥ 1
3x+6 ≥ 0 ==> x ≥ -2
So: condition x ≥ 1
[tex]\sqrt{3x-3} +1=\sqrt{3x+6} \\\\\sqrt{3x+6} -\sqrt{3x-3} =1 \ squaring\\\\3x+6+3x-3-2\sqrt{(3x+6)(3x-3)} =1\\\\6x+2=2\sqrt{(3x+6)(3x-3)}\\\\\sqrt{(3x+6)(3x-3)}=3x+1\ squaring \\\\(3x+6)(3x-3)=(3x+1)^2\\\\9x^2+18x-9x-18=9x^2+6x-1\\\\3x=19\\\\x=\dfrac{19}{3} \\\\sol=\{\dfrac{19}{3}\}\\\\Answer\ C\\[/tex]
Related Questions
X-3
If f(x) =
and g(x) = 5x - 4, what is the domain of (fog)(x)?
X
{x1x*}
Answers
select the correct answer
1.caul will be the measure of one of the legs of a right triangle, if its hypotenuse is 10 cm and leg b is 6 cm, what will be the measure of leg a?
a) 8 cm
b) 5 cm
c) 4 cm
d) 12 cm
please
Answers
Answer:
answer us a) 8cm
Step-by-step explanation:
a^2 + 6^2 = 10^ 2
a^2 + 36 = 100
subtract 36 from 100
a^2 = 64
square root of 64 is 8
Find the values of the trigonometric functions of t from the given information. sec(t) = 2, terminal point of t is in Quadrant IV
Answers
Answer:
The values of the trigonometric functions of t
[tex]$\sin t=-\frac{\sqrt{3} }{2}[/tex]
[tex]\cos t=\frac{1}{2},[/tex]
[tex]\tan t=-\sqrt{3}[/tex]
[tex]$\csc t-\frac{2}{\sqrt{3} }[/tex]
[tex]\sec t=2[/tex]
[tex]\cot t=\frac{1}{\sqrt{3} }[/tex]
Step-by-step explanation:
Given:
[tex]\sec(t)=2[/tex]
The terminal point of [tex]t[/tex] is in Quadrant [tex]IV[/tex]
Step 1:
To find the values of trigonometric functions of t
[tex]\sec(t)=\frac{H}{A}[/tex]
[tex]=\frac{2}{1}[/tex]
Analyze the figure and find the value of O
[tex]t[/tex] ∈ [tex]IV[/tex]
[tex]O=\sqrt{2^{2}-1^{2} }[/tex]
[tex]=\sqrt{4-1}[/tex]
[tex]=\sqrt{3}[/tex]
Step 2:
[tex]$\sin t=-\frac{O}{H}[/tex]
[tex]=-\frac{\sqrt{3} }{2}[/tex]
[tex]\cos t=\frac{A}{H}[/tex]
[tex]=\frac{1}{2}[/tex]
[tex]\tan t=-\frac{O}{A}[/tex]
[tex]=-\sqrt{3}[/tex]
[tex]$\csc t=-\frac{H}{O}[/tex]
[tex]=-\frac{2}{\sqrt{3} }[/tex]
[tex]\sec t=\frac{H}{A}[/tex]
[tex]=\frac{2}{1}[/tex]
[tex]\cot t=-\frac{A}{O}[/tex]
[tex]=\frac{1}{\sqrt{3} }[/tex]
Learn more about trigonometry functions, refer:
https://brainly.com/question/16693162Use the distributive property to rewrite this expression.
2(a +3)
Answers
Answer:
2a+6
Step-by-step explanation:
you distribute the 2 to the variable A and number 3. since a variable and a constant cant be combined, your left with 2a+3
Which of the following types of scientists might study the events that take place in the area labeled by letter d?
A. An oceanographer
B. A meteorologist
C. A geologist
D. An astronomer
Answers
Answer: D
Step-by-step explanation:A scientist who studies the objects in the sky, including planets, galaxies, black holes, and stars, is called an astronomer
6 + 5y - 4y + 10 + 3x - X
Answers
Answer:
2 + + 1 6
Step-by-step explanation:
Add the numbers:
6 + 5y - 4y + 10 + 3x -x =
1 6 + 5 − 4 + 3 −
Combine like terms:
16 + 5y - 4y +3x - x
16+ 1y + 3x -x
Multiply by 1
16 + 1y + 3x - x
16 + y + 3x - x
Combine like terms:
16 + y + 3x - x
16 + y + 2x
Rearrange terms:
16 + y + 2x
2x + y + 16
Answer:
16 + y + 2x
Step-by-step explanation:
[tex]6 + 5y - 4y + 10 + 3x - x[/tex]
[tex]16 + 5y - 4y + 3x - x[/tex]
[tex]5y - 4y = (5 - 4)y = 1y = y[/tex]
[tex]16 + y + 3x - x[/tex]
[tex] = 16 + y + 2x[/tex]
Plz help I need help now plz
Answers
Answer:
-840
Step-by-step explanation:
When we multiply two intergers with the same sign, the product will be positive. When we multiply intergers with different signs, the quotient will be negative
[tex]( - 5) \times ( - 3) = 15[/tex]
[tex]15 \times ( - 8) = - 120[/tex]
[tex] - 120 \times 7 = - 840[/tex]
Find how much interest $10,000 earns in 2 years in a certificate of deposit paying 5.5% interest compounded quarterly.
The interest earned in 2 years is $__.
(Do not round until the final answer. Then round to the nearest cent as needed.)
Can anyone help me with this?? 100 points
Answers
Answer:
$1154.42Step-by-step explanation:
Given:
Deposit amount P = $10000Interest rate r = 5.5% or 0.055Time t = 2 yearsNumber of compounds n = 4The interest is:
P*(1 + r/n)^(nt) - P = 10000(1 + 0.055/4)^8 - 10000 = 11154.42 - 10000 = 1154.42Apply compound interest formula
Amount
P(1+r/n)^nt10000(1+0.055/4)^4(2)11154.42Interest
11154.42-100001154.42Which statement is true about the function?
A.
The function is negative on the interval .(n/2,n)
B.
The function is positive on the interval .(3n/4, 5n/4)
C.
The function is positive on the interval .(x/4, 3n/4)
D.
The function is negative on the interval .(5x/4, 7n/4)
Answers
Answer:
A
Step-by-step explanation:
During the Interval, pi/2 to pi, the function is below the x axis, so it is negative
Answer:
A. The function is negative on the interval .(n/2,n)
Step-by-step explanation:
edmentum
An online test of English spelling looked at how well people spelled difficult words. The bar graph to the right shows how many people per 100 spelled each word correctly. a. Estimate the number of people per 100 who spelled weird correctly. Round to the nearest 5. b. In a group consisting of 8724 randomly selected people, estimate how many more people can correctly spell weird than inoculate.
Answers
Answer:
the correct answer would be 8725 because 8724 is closer to 8725
Step-by-step explanation:
8720-------8724--8725
Solve
| 2x + 6 | = x
Answers
Answer:
1) soln,
or,2x+6=x
or,2x-x= -6
or,x= -6
•°•x= -6 Ans#
x=15 is this a function how do you do it
Answers
Answer:
Step-by-step explanation:
What is 25 x 34 in simplest form
Answers
X-1=5x+3x-8
solve for x, step by step
Answers
Answer:
x=1
Step-by-step explanation:
X-1=5x+3x-8
X-5x-3x=-8+1
-7x=-7
-7x/-7=-7/-7
x=1
What is the equation of the line that passes through the point (-7, 2) and has a
slope of -1
Answers
Answer:
y = -x - 5
Step-by-step explanation:
y = mx + b
slope = m = -1
y = -1x + b
y = -x + b
Plug in (-7, 2) for x and y, and solve for b.
2 = -(-7) + b
2 = 7 + b
b = -5
y = -x - 5
Please help now. I’m very confused and i don’t no how to do this. I don’t want just the answer but a great explanation.
Answers
Answer:
First option
Step-by-step explanation:
Hi there!
The "constant additive rate of change" means a constant slope.
The slope is [tex]\displaystyle\frac{change \hspace{4} in \hspace{4} y}{change \hspace{4} in \hspace{4} x}[/tex].
First of all, if the slope is constant, then we know immediately that it must be a linear function, a line. The change in y is forever the same according to the change in x. Knowing this, the second option is for-sure wrong (it's not a straight line).
Now, let's look at the first option. It is a linear function, which means it has a constant slope. However, we're given that the slope is [tex]-\displaystyle \frac{1}{4}[/tex]. This means that for a line, whenever it travels 4 units to the right, it travels 1 unit down (it travels down whenever the slope is negative and up whenever the slope is positive).
This is the exact case for the first option. Look at the point (-2,2) on the line. When we move 4 units to the right of that point, The line would have moved 1 unit down. We would reach the point (2,1).
Therefore, the correct answer would be the first option.
I hope this helps!
factories 24a³ + 37a² – 5a
Answers
Answer:
a(8a-1)(3a+5)
Step-by-step explanation:
24a³ + 37a² – 5a =
a ( 24a²+ 37a -5) =
a( 24a² +40a -3a -5) =
a [8a(3a+5) -1(3a+5) ]=
a(8a-1)(3a+5)
1.1.PS-8
Write 6.81 as a mixed number in simplest form.
6.81
Answers
Answer: when you simplify it you get 6 81/100 and you cant go any further because you will start to get into approximate values.
Step-by-step explanation:
I need help with number line math please review my work and explain to me whats correct and wrong thanks!
Answers
Answers:
3) -12, 0, 13, |-14|, |-16|, 17 (D)
4) 1
5) 5
Explanation:
|x| is the absolute value, and absolute values are always positive
|-5| = 5
|-16| = 16
|-16| = |16|
Hope this helps
A triangle has vertices A (0,0) B (2,6) and (0,4) Rotate it 180 clock wise about the origin followed by a dilation with a scale factor of 3 find the coordinates of the vertices of A’ B’ C’ and state whether the two triangles are congruent or similar
Answers
9514 1404 393
Answer:
A'(0, 0), B'(-6, -18), C'(0, -12)Step-by-step explanation:
Rotation 180° is the transformation ...
(x, y) ⇒ (-x, -y)
Dilation by a factor of 3 is the transformation ...
(x, y) ⇒ (3x, 3y)
The two transformations together can be described by ...
(x, y) ⇒ (-3x, -3y)
That is, the coordinates of A, B, C are each multiplied by -3. The image vertices are ...
A' = -3A = A'(0, 0) . . . . . . . . the center of rotation and dilation is invariant
B' = -3B = B'(-6, -18)
C' = -3C = C'(0, -12)
Any dilated figure will not be congruent to the original. The triangles are similar.
Almanah is baking cookies. She has a bag that contains 300 cookies. If she wants to bake a batch of 40 cookies with 6 chocolate chips in each, will she have enough chocolate chips?
Answers
Answer:
Did you mean she has a bag that contains 300 chips? if so yes.
Step-by-step explanation:
If each cookie gets 6 chips and she makes 40 cookies, you can use multiplication to see.
6*40=240
She has plenty, 60, of chocolate chips left over
help me like fast pls
Answers
Answer:
answers 3,4 and 6 I think
( using the quadrata formula solve 282 +15% +750
Answers
Step-by-step explanation:
Q.282 +15% +750
282 +15 /100+750
282+3/20+750
1032+3/20
20643/20
please show work hahah I really suck with these equations f – 6 = -2f + 3(f – 2)
Answers
Step-by-step explanation:
I tried my best to answer this question I guess this would help
PLS HELP I WILL GIVE BRAINLIEST
Answers
sin(8x) cos(3x) - cos(8x) sin(3x)
sin(8x - 3x) = sin(5x)
Dose anyone know the awnser to number 1 and 3 I can’t do it
Answers
Answer:
1. 18 11/15
3. 11 4/9
That's all
Fill in the blank
30.030___30.03
Answers
Answer:
=
Step-by-step explanation:
9.) You buy a car for 20.000 dollars and pay 5 % in tax. How much is tax?
Answers
Answer:
$1
sales tax is 5 percent or $1,000
20,000 + 1,000 is equal to $21,000
Help fast! Round the measurement 1258 mL into three significant figures
Answers
Answer:
1000mL, 1300mL and 1260mL
Step-by-step explanation:
4.675 subtracted by 1.33
Answers
Answer:
4.675 - 1.33 = 3.345
extra characters because it won't let me submit lol
