We want to see for which values of x does the rational expression make sense. We will see that the expression makes sense for x ≤ 0
We know that the argument of a square root can only be a real number equal to or larger than zero.
In this case, we have the expression:
[tex]\sqrt{(-2x)^2} = (\sqrt{-2x} )^2[/tex]
One would want to directly cancel the square root with the 2 exponent, but we can't do that, because in the right-side expression we would have a complex number if the argument is smaller than zero.
The first thing we need to do is to make the argument equal or larger than zero:
-2x ≥ 0
x ≤ 0/-2
x ≤ 0
So the given expression only makes sense for x ≤ 0
If you want to learn more about rational expressions, you can read:
https://brainly.com/question/18545256
Answer: No, the answer is All Real Numbers
Step-by-step explanation: e
Which expression shows the distance on the number line between −3 and −10 ?
Answer:
D. |-3 - (-10)|
Step-by-step explanation:
The distance around the edge of a circular pond is 88m. The radius,in meters,is?
Answer:
88/ 2π
Step-by-step explanation:
The slope of the line formed between point A and point C on the graph is 2/3
What is the slope of the line formed between point C and point E?
Answer:
B. 1/2
Step-by-step explanation:
i think
1) An airplane is at 10,000 feet above the ground. It needs to fly higher to reach the regular flying height. It increases its height at a constant rate of 2,000 feet per minute. How high will the plane be in 10 minutes?
Answer:
20000
Step-by-step explanation:
Answer: 30,000 feet
Step-by-step explanation: We start with the 10,000 feet original height. From there, we can take 2,000 feet per minute and multiply it by 10 minutes. That gets us 20,000 feet. Add 20,000 to our original 10,000 and we get 30,000.
use a point on the number line to represent a number ot whose absulute vaue is?
Answer:
A
Step-by-step explanation:
[tex]\sqrt{x} +1=3\\[/tex]
Answer:
x = 4
Step-by-step explanation:
√x + 1 = 3
√x = 3 - 1
√x = 2
(√x)² = (2)²
x = 4
solve for x
9 = x/12
Answer:
X=108
Step-by-step explanation:
Step-by-step explanation:
I have solved the answer in the attached image please ask if you have any query
Maria decides to reduce her homework time of 8 hours per week by 15%. Calculate her new homework time. Give your answer in hours and minutes. ..
6 hours and 48 minutes
Write an equation in point-slope form of
the line that has a slope of 2 and passes
through point (5,-3).
Answer:
(y+3)=2(x-5)
Step-by-step explanation:
Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag.
Answer:
whaat?
Step-by-step explanation:
HELP THIS IS VERY IMPAORTANT
Answer:
The answer is the second option
Step-by-step explanation:
All you have to do is replace x with the data given.
Example: f(x) = 3[tex]x^{2}[/tex] - 6
x = 0 => f(x) = 3 x [tex]0^{2}[/tex] - 6 = 3 x 0 - 6 = -6
x = 1 => f(x) = 3 x [tex]1^{2}[/tex] - 6 = 3 x 1 - 6 = 3 - 6 = -3
x = 2 => f(x) = 3 x [tex]2^{2}[/tex] - 6 = 3 x 4 - 6 = 12 - 6 = 6
There are 22 tables in the cafeteria. Each table can seat 8 students.There are 4 lunch periods each day.How many students can the cafeteria seat each day?
Answer:
704 students can fit in the cafeteria a day
Use the model to find the missing number in the pair of equivalent expressions.
15 + 9 = ?(5 + 3)
What number is missing from the expression?
Answer:
3
Reasoning:
[tex]3(5+3)=15+9[/tex]
Distribute three to the numbers to get 15+9.
Between which two integers does the square root of 117 lie
Answer: 10 and 11 or -11 and -10
Answer:
Step-by-step explanation:
10 and 11 or -10 and -11
Solve for x then y.
y+10=-1/6(x-6)
Answer:
y= -x/6-9
x= -6y-54
Step-by-step explanation:
HELP 35 POINTS
State the domain and range to each of these functions and determine function or not.
Answer:
see below
Step-by-step explanation:
2.x<1, y=all real numbers
3. -1<=x<=3 -3<=y<=2
4. x= all real numbers, y>-2
5. 7<=x<5, 3<=y<1
6.x>-4, y>-1
Use algebra to show that, for this machine, if x is a a-1
Help me please thank you 20 pts
Answer:
[tex]x = a - 1[/tex]
Step-by-step explanation:
from what you told me you put it in a formula
so I says it in a algebraic format
Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21? select each correct answer. (−1, −6) (7, 0) (11, 3) (−3, 3).
Answer:
(-1, -6), (7, 0) , and (11, 3)
Step-by-step explanation:
3x - 4y = 21 Solve the equation for y
3x - 21 = 4y
(3x - 21)/4 = y
Now use the ordered pair and find the true ordered pair
(-1, -6) [ (3)(-1) - 21]/ 4 ; (-3 -21)/4 ; (-24)/4 = -6 True
(7, 0) [(3)(7) -21]/4 ; (21 - 21)/4; 0/4 = 0 True
(11, 3) [(3)(11) - 21]/4; (33 - 21)/4; 12/4 = 3 True
(-3 ,3) [(3)(-3) - 21]/4 (-9 -21)/4 ; -30/4 = -7.5 No
What is the answer to 3) 1 + 4x = −5 + 7x
Answer:
x = 2
Step-by-step explanation:
I need helpppp with 1-9
-3=2/3(2) what is the answer
When adding, you only add the numerators. The denominator stays the same (Assuming the denominators are the same number). If not, then you will have to find a common denominator first. IN this case, the denominator is already the same. Add the numerator
2/3 + 2/3 = 4/3
Note that the answer gotten is an “improper fraction”, because the numerator is greater than the denominator. Simplify.
4/3 = 3/3 + 1/3
Divide: 3/3 = 1
1 + 1/3 = 1 1/3
1 1/3 is your mixed fraction answer (4/3 for improper fraction answer)
Will mark brainiest if right Is this function linear or nonlinear?
y=3x−5
Answer: This function is linear because it forms a straight line when graphed.
Would appreciate brainly <3
Which value of m is a counterexample for the following statement?
If m is an odd prime number, then m + 2 is also prime.
Group of answer choices
7
3
5
9
11
Answer:
3
Step-by-step explanation:
because 3 is a prime number and 3+2=5 which is also a prime number
What is meaning of irrational exponents.
Answer:
Here
Step-by-step explanation:
Irrational exponents are non repeating or infinite decimals while rational exponents are rational numbers. The value of an irrational exponent when calculated is approximate in nature while the value of rational exponent is exact.
in the equation 3(x-1)=2x+c for what value of c will x=3? explain your reasoning.
Answer:
0
Step-by-step explanation:
if x is 3 then;
3(3-1)=2×3+c
c=0
so if c=0 then
x=3
What is mRS?shown on the picture
Answer:
RS = 80°
Step-by-step explanation:
The sum of the arcs of a circle is 360°.
RS +ST +TR = 360°
RS = 360° -ST -TR = 360° -130° -150°
RS = 80°
the point (-2,6) is on a line with a slope of 3/4. If the point -8,k) is also on the same line what is the value of k
For a point with a slope 3/4 and which passes through the points (-2, 6) and (-8, k), the value of k is 1.5
The line passes through the points (-2, 6) and (-8, k)
That is, [tex]x_1=-2, y_1=6, x_2=-8, y_2=k[/tex]
The slope of the line, m = 3/4
The formula for calculating the slope of a line is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute [tex]x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}[/tex] into the formula above
[tex]\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5[/tex]
Therefore, the value of k is 1.5
Learn more here: https://brainly.com/question/25613656
what is the slope of the line that contains these points x- -1,0,1,2 y- 10,18,26,34
Answer:
The slope is 8
Step-by-step explanation:
Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )
Answer:
8p -12Step-by-step explanation:
Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )
4(p + 3) +4(p - 6) =
4p + 12 + 4p - 24 =
8p -12
____x0.01 = 180.4932
what's the answer?
