Identify The domain of the rational function, g(x)= 1/x+3
A (-∞, ∞)
B (-∞, 3)U(3, ∞)
C (-∞, -3]U[-3, ∞)
D (-∞, -3)U(-3, ∞)
Answer:
The domain is (-∞ , -3) ∪ (-3, ∞) ⇒ D
Step-by-step explanation:
The domain of the rational fraction is the values of x which make the fraction defined. That means the domain does not contain the values of x which make the denominator equal to 0.
∵ g(x) = [tex]\frac{1}{x+3}[/tex]
∴ The denominator = x + 3
→ Equate the denominator by 0
∵ x + 3 = 0
→ Subtract 3 from both sides
∴ x + 3 - 3 = 0 - 3
∴ x = -3
→ That means the domain can not have -3 because it makes the denominator
equal to 0
∴ The domain is all values of real numbers except x = -3
∴ The domain = {x : x ∈ R, x ≠ -3}
∴ The domain = (-∞ , -3) ∪ (-3, ∞)
If a line goes through the following two points: (0,-2) and (3,4), the slope of the line is:
Answer:
y = 2x – 2
Step-by-step explanation:
Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality: (5 points)
y > one half x + 2
The origin is not included in the shaded region and the shaded area is above the line.
The origin is not included in the shaded region and the shaded area is below the line.
The origin is included in the shaded region and the shaded area is above the line.
The origin is included in the shaded region and the shaded area is below the line.
Answer:
The origin is not included in the shaded region and the shaded area is above the line.Step-by-step explanation:
The first option is correct one:
The origin is not included in the shaded region and the shaded area is above the line.The shade region is above the line because the function is increasing, and the origin is not included because the y- intercept is positive number
See attached
CAN SOMEONE PLEASE HELP ME THIS IS DUE TODAY AND IT CONTS A LOT ON MY GRADE
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
second anwser choice plus i love nicki
Factor the following expression: 5x + 15y
Answer: 5(x + 3y)
Step-by-step explanation: this way, if you multiply it out from this form, you get the answer that you were trying to factor in the first place.
I WILL GIVE BRAINLIEST PLS ANSWER CORRECTLY !!!!
Answer:
SSS
Step-by-step explanation:
Answer:
blue
sorry if wrong
Step-by-step explanation:
Julie works at a pizza place in Phoenix. She receives a 15% discount on any pizza that she buys. If a large pizza costs $14.00, what is the amount of Julie’s discount? What is the final cost of her pizza?
Answer:
The final cost of her pizza is $11.90
Step-by-step explanation:
First we need to convert 15% into a decimal, which is 0.15.
Now we multiply $14 and 0.15.
$14 × 0.15 = $2.10.
Now we subtract $2.10 from $14.00.
$14.00 - $2.10 = $11.90
what is the answer to this question some one please help me (7−b)+(3b+2)
Answer:2b+9
Step-by-step explanation:
What is the y-intercept of the function?
Answer:
-5
Step-by-step explanation:
Rebecca buys a shirt for $38.
She finds out the shirt is 25% off
and there is 8% sales tax. If
Rebecca has $40, how much change
will she receive?
Answer:
$8.46
Step-by-step explanation:
This is assuming that the sales tax is applied on the pre discounted item.
Circle K has a diameter of 10 centimeters and a major arc RS is intercepted by a central angle of 190°. Find the length of major arc RS . Round to the nearest tenth.
Answer:
16.6
Step-by-step explanation:
HELP MEEEE I RLLY CANT KEEP DOING THIS
Answer:
y = -3x + 7
Step-by-step explanation:
Solve for y.
3x + 4y = z
-----------------
Answer:
y= z-3x/4
Step-by-step explanation:
4y=z-3x
y=z-3x/4
Answer:
[tex]y=\frac{z-3x}{4}[/tex]
Step-by-step explanation:
[tex]3x+4y=z[/tex]
Subtract 3x from both sides:-
[tex]3x+4y-3x=z-3x[/tex]
[tex]4y=z-3x[/tex]
Divide both sides by 4:-
[tex]\frac{4y}{4}=\frac{z}{4}-\frac{3x}{4}[/tex]
[tex]y=\frac{z-3x}{4}[/tex]
OAmalOHopeO
what is a simplified fractional eqeuvilent of a teminating decimal .68
Answer:
17/25
Step-by-step explanation:
0.68 is read as "sixty-eight hundredths."
Write sixty-eight hundredths as a fraction: 68/100
Now we reduce 68/100.
68/100 = 34/50 = 17/25
Answer:
17 /25
Step-by-step explanation:
0.68
is the same as
6
10
+
8
100
=
68
100
68
÷
4
100
÷
4
=
17
25
As 17 is a prime number we stop at this point. srry if this in not correct
looking at the graph what does the y intercept tell you about the puppies in the litter? help me
Maurice and his father are building a dog house. They are using long pieces of wood and cutting them into smaller pieces. They have a piece of wood that is 3.6 feet long and are cutting it into pieces that are each 0.75 feet. How many smaller pieces will they be able to make?
Answer:
4.8 smaller pieces
Step-by-step explanation:
Total length of wood = 3.6 feet
Length of each piece = 0.75 feet
How many smaller pieces will they be able to make?
Number of smaller pieces of wood = Total length of wood / Length of each piece
= 3.6 feet / 0.75 feet
= 4.8 smaller pieces
Number of smaller pieces of wood = 4.8
Jacob stated that he solved the equation 2x+3=5 using addition and multiplication property of equality. Which statement is true?
A. Jacob added -3 to both sides and multiplied both sides by 1/2
B. Jacob added -3 to both sides and multiplied both sides by 2
C. Jacob added 3 to both sides and multiplied both sides by 1/2
D. Jacob added 3 to both sides and multiplied both sides by 2
Answer:
It is A.
Step-by-step explanation:
It shows the steps that distribute everything properly
What is the circumference of the circle
A. 18.84
B. 17.6
C. 21.79
D. 15.65
Answer:
18.84
Step-by-step explanation:
The formula for circumference is 2(pi)r, I think. The radius is 3. 3 times 2 is 6. 6 times 3.14 is around 18, I think.
hope this helps
Answer:
A
Step-by-step explanation:
16) Avery selects two chips from a bag without looking at them. The bag has 5 green chips, 3 red chips, and 7 blue chips. What is the probability that he selects a red and then a blue chip (without replacing)? * 6 points 2/3 7/75 1/10 2/45
Answer: [tex]\dfrac{1}{10}[/tex]
Step-by-step explanation:
Given: The bag has 5 green chips, 3 red chips, and 7 blue chips.
Total chips = 5+3+7= 15
Number of ways to select a red and then a blue chip = 3 x 7 = 21
Total number of ways to select 2 chips without replacement = 15 x 14 =210
Required probability = [tex]\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{21}{210}=\dfrac{1}{10}[/tex]
So, the probability that he selects a red and then a blue chip (without replacing) = [tex]\dfrac{1}{10}[/tex]
A high school track team's long jump record is 24 ft 9 1/4 in. This year, Arthur's best long jump is 24 ft 3 1/2 If long jumps are measured to the nearest quarter inch, how much farther must jump to break the record?
Answer:
5 3/4 inches
Step-by-step explanation:
Given that :
Long jump record held = 24 ft 9 1/4 in
Arthur's best long jump record = 24 ft 3 1/2 in
How much further must ARTHUR jump to brake the record :
Long jump record - Arthur's best jump
[24 ft 9 1/4 in] - [24 ft 3 1/2 in]
24 ft - 24 ft = 0
9 1/4 in - 3 1/2 in
37 / 4 in - 7 /2 in
L. C. M of 4 and 2 = 4
(37 - 14) / 4 inches
23 /4 inches
= 5 3/4 inch
Answer: 5 3/4 inches
Step-by-step explanation:
u subtract then complete.
Betty had 1/3 yard of ribbon. She used 1/2 of it. How many yards of ribbon did she use?
a. 6 yd
b. 1/6 yd
c. 2/3 yd
d 3/2 yd
Answer:
b. 1/6 yd
Step-by-step explanation:
When Betty used 1/2 OF the 1/3 yards she has she has to multiple those. It's easier to put it in a sentence in my opinion because then you can see the "of" in the sentence which means to multiply. Hope this helps!
PLEASE HELP ASAP!?!?!?
Answer:
i only did the second one!
but i am still trying to solve the first.
Hope I am correct! please forgive me if this is wrong!
I did also the first one!
1. Lauren’s scores on her four math tests are: 83%, 79%, 94%, and 96%. What is the lowest score Lauren needs to achieve an average score greater than 85?
2. Twice an integer increased by 6 is less than 48.
A. Write an inequality.
B. What is the largest integer this could be?
Answer:A
Step-by-step explanation:
What is the meaning of gcf in math terms
A survey of 100 doctors revealed that 2 put of every 5 doctors recommended Brand M deodorant. Based on the results, how many doctors did NOT recommend Brand M.
A.20
B.60
C.140
D.40
Answer:
B. 60
Step-by-step explanation:
What are the coordinates of the vertices of the triangle under the translation (x, y) (x + 2, y + 3)? (-4, 5), (3, 4), (0, 0) (5, -4). (4, 3), (-1, 2) (6, -5), (5, 2), (1, -1) (-5, 6), (2, 5), (-1, 1)
Answer:
(2, 5), (-5, 6) and (-1, 1)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
If a point A(x,y) is translated a units right and b units up, the new location is at A'(x + a, y + b).
From the image attached, the location of the vertices of the triangle is at (0,2), (-7, 3) and (-3, -2). If the triangle is under the translation (x, y) ⇒ (x + 2, y + 3), the new location of the vertices would be at (2, 5), (-5, 6) and (-1, 1)
How much interest is earned in two years in a investment of 2,000 and the interest rate is 3%
Answer: $1,140
Step-by-step explanation:
2000 x .03 = 60
60 x 24 months = $1,140
WHICH ONE?! AND PLS EXPLAIN WHYYY fast pls :(
A, B, C or F
A because every input has one output
express 0.016 as fraction in the lowest term podcast will mark as brainlist and will like and will rate u
Grant bought strawberries and bananas from the grocery store to make smoothies. The total amount he spent can be represented by the expression 1.8s + 0.65b, where s is the number of pounds of strawberries and b is the number of pounds bananas. If Grant bought 2.7 pounds of strawberries and 1.4 pounds of bananas, how much did he spend? Amount spent can be represented by the exper
Answer:
$5.77
Step-by-step explanation:
Given expression:
1.8s + 0.65b
where,
s = the number of pounds of strawberries
b = the number of pounds bananas
If Grant bought 2.7 pounds of strawberries and 1.4 pounds of bananas
s = 2.7 pounds
b = 1.4 pounds
how much did he spend?
1.8s + 0.65b
= 1.8(2.7) + 0.65(1.4)
= 4.86 + 0.91
= $5.77
He spent $5.77 on both items
