Answer:
1st function: all negative real numbers
2nd function: all real numbers
3rd function: all real numbers except -3 ≤ x ≤ 3
4th function: all real numbers between -3 and 3
Step-by-step explanation:
In the picture attached, the question is shown.
The domain is the set of all the numbers that the independent variable (here, x) can assume.
In this exercise we have to identify which types of graph correspond and correlate them with the given sentences, in this way we find that:
1)all negative real numbers
2) all real numbers
3) all real numbers except -3 ≤ x ≤ 3
4) all real numbers between -3 and 3
So then when we deal with graph it is important to observe its axes then:
1) In the first case we have to be all negative and real numbers since it is only found in this part of the graph.
2) The second graph reports all the real numbers, that is, the numbers that are in the positive part and in the negative part.
3) The third case is very similar to the second, where we find all the real numbers, but the graph "skips" the numbers 3 and -3.
4) Finally, the last graph is just between the values of 3 and -3 with a line delimiting these values.
See more about graphs at brainly.com/question/14375099
What’s the solution to 12x + 2 > 14
Answer:
x>1
Step-by-step explanation:
12x+2>14
12x>12
x>1
Answer:
x > 1
Step-by-step explanation:
12x + 2 > 14
Subtract 2 on both sides.
12x > 14 - 2
12x > 12
Divide 12 into both sides.
x > 12/12
x > 1
Find the zeros of y = x2 - 6x - 4 by completing the square.
A. X = 3 + 15
B. X= 3 V13
C. X=-3 v15
D. X = +3
SUB
Answer:
x = 3 + sqrt(13) or x = 3 - sqrt(13) or B)
Step-by-step explanation:
Solve for x:
x^2 - 6 x - 4 = 0
Hint: | Solve the quadratic equation by completing the square.
Add 4 to both sides:
x^2 - 6 x = 4
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 9 to both sides:
x^2 - 6 x + 9 = 13
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 3)^2 = 13
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 3 = sqrt(13) or x - 3 = -sqrt(13)
Hint: | Look at the first equation: Solve for x.
Add 3 to both sides:
x = 3 + sqrt(13) or x - 3 = -sqrt(13)
Hint: | Look at the second equation: Solve for x.
Add 3 to both sides:
Answer: x = 3 + sqrt(13) or x = 3 - sqrt(13)
. (01.05) 1.Write the equation of a line with a slope of 4 and a y-intercept of −3. (2 points) A- 4x + y = −3 B-4x − y = −3 C- y = −3x + 4 D- y = 4x − 3 2. (01.05) Write the equation of the line that passes through (−1, 5) and has a slope of 3 in point-slope form. (2 points) A- x + 1 = 3(y − 5) B- x − 5 = 3(y + 1) C- y − 5 = 3(x + 1) D- y + 1 = 3(x − 5) 3. (01.05) Write the equation of the line that passes through (1, 5) and (−2, 14) in slope-intercept form. (2 points) A- y = 3x + 2 B- y = 3x + 8 C- y = −3x − 2 D- y = −3x + 8
Answer:
The correct option is 4.
Step-by-step explanation:
Step-by-step explanation:
The slope intercept form of a line is
.... (1)
where, m is slope and b is y-intercept.
We need to find the equation of line whose slope is 4 and y-intercept is -3.
Substitute m=4 and b=-3 in equation (1), to find the equation of required line.
The equation of required line is y=4x-3.
Therefore the correct option is 4.
I NEED HELP ASAP What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?
What is the standard form of this function? f(x) = -(x − 4)2 + 2 A. f(x) = -x2 + 4x − 30 B. f(x) = x2 + 8x − 14 C. f(x) = -x2 + 8x − 14 D. f(x) = x2 + 4x − 30
Answer:
C
Step-by-step explanation:
Standard form is f(x) = ax² + bx + c.
f(x) = -(x - 4)² + 2
= -(x² - 8x + 16) + 2
= -x² + 8x - 16 + 2
= -x² + 8x - 14
Hi,
the correct answer is C
This is the correct equation: f(x) = -x^2 + 8x - 14
XD
P.S. (on the image I sent the answer was B but on your test the correct one is C. The equation is still the same.)
help me 24 - 42 ÷ 8 • 2 + 4
Step-by-step explanation:
bodmas :3
1. 42 ÷ 8 x 2 = 5.25 x 2
= 10.5
2. 24 - 10.5 + 4 = 17.5
Answer:
17.5
Step-by-step explanation:
24-(42/8)×2+4
=24-(5.25×2)+4
=24-10.5+4
=13.5+4
=17.5
Please help :) Is the relationship shown by the data linear? If so model the data with an equation.
Answer:
y-5=5/4(x-1)
Step-by-step explanation:
the slope is 1.25
m=y2-y1/x2-x1=10-5/5-1=5/4=1.25
y-5=(5)/(4)(x-1)=
y=(5)/(4)x+(15)/(4) this one is linear
it is a linear function and the
If d = the number of dogs, which variable expression represents the phrase below? the sum of the number of dogs and the 6 cats.
Answer:
D.
Step-by-step explanation:
" Sum" means "+".
The sum of the number of dogs and the 6 cats.
d + 6
Answer:
Option D
Step-by-step explanation:
Sum is Adding (+)
So,
The expression becomes
=> d+6
Express $\sqrt{x} \div\sqrt{y}$ as a common fraction, given: $\frac{ {\left( \frac{1}{2} \right)}^2 + {\left( \frac{1}{3} \right)}^2 }{ {\left( \frac{1}{4} \right)}^2 + {\left( \frac{1}{5} \right)}^2} = \frac{13x}{41y} $
A common fraction is a fraction whose denominator is the same with another fraction.
[tex]$\sqrt{x} \div\sqrt{y}[/tex] as a common fraction is [tex]\sqrt \frac{x}{y}}[/tex]
The expression is given as:
[tex]$\sqrt{x} \div\sqrt{y}[/tex]
Express as fraction
[tex]$\sqrt{x} \div\sqrt{y} = \frac{\sqrt x}{\sqrt y}[/tex]
Rewrite as a common fraction
[tex]$\sqrt{x} \div\sqrt{y} = \sqrt \frac{x}{y}}[/tex]
Hence, [tex]$\sqrt{x} \div\sqrt{y}[/tex] as a common fraction is [tex]\sqrt \frac{x}{y}}[/tex]
Read more about common fractions at:
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50 points!!! What is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...
Answer:
-2
Step-by-step explanation:
each number is being multiplied by -2 to get to the next number
A. -4/2 but if you factor it it will be -2
A polynomial has been factored below, but some constants are missing.
Answer:
From the information in the problem, the value of a is 2, the value of b is 2, and the value of c is -6.
Step-by-step explanation:
The first thing we have to do is factor the equation in order to find the value of a, b, and c.
2x³ - 8x² - 24x
Find a common factor that can be easily divisible among all the terms. This common factor is 2x. Factor the equation.
2x(x² - 4x - 12)
Now, we have to factor out the equation in the parentheses. we do this by multiplying the first term by the last term first. Since there is no coefficient number for x², then we assume this number to be 1.
1 × -12 = -12
Now, we have to find two numbers that multiply to get -12 but add together to get -4. These numbers are 2 and -6. Let's plug these numbers into the equation.
2x(x² + 2x - 6x - 12)
Group the first and second terms together and group together the third and last term together in the parentheses.
2x((x² + 2x) + (-6x - 12))
Factor the equation in parentheses.
2x(x + 2)(x - 6)
So, the value of a is 2, the value of b is 2, and the value of c is -6.
Help asap please will give brainliest
Answer:
d. (x+2)/(-x²-5)
Step-by-step explanation
ƒ(x) = x + 2/(2x²)
The function is undefined when x = 0.
b. ƒ(x) = (2x + 4)/(3x + 3)
The function is undefined when 3x + 3 = 0, i.e., when x = -1.
c. ƒ(x) = (6x - 5)/(x² - 7)
The function is undefined when x² - 7 = 0, i.e., when x = √7.
d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)
The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.
This function has no excluded values.
Solve the following equation (for x) using inverse operations:
-4x + 6 = 2x + 36
Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
[tex]-4x + 6 = 2x + 36[/tex]
Add -2x and -6 on both sides.
[tex]-4x + 6-2x-6 = 2x + 36-2x-6[/tex]
[tex]-4x-2x=36-6[/tex]
Combine like terms.
[tex]-6x=30[/tex]
Divide both sides by -6.
[tex]\frac{-6x}{-6} =\frac{30}{-6}[/tex]
[tex]x=-5[/tex]
Answer:
x = -5
Step-by-step explanation:
Group like terms together: On the right side we get 2x + 4x = 6x. On the left side we get 6 - 36 = - 30.
Then 6x = -30, and x = -5.
The sales tax for an item was $19.20 and it costs $480 before tax. Find the sales tax rate. Write your answer as a percentage
Answer:
sales tax rate = 4%
Step-by-step explanation:
In this problem formula to express one term in percentage is used
To express x as percentage of y is given by (x/y*100) %
______________________________________________
Cost of item = $480
sales tax = $19.20
we have to find sales tax rate.
sales tax rate is percentage of cost price which will levied as tax .
thus, we have to find sales tax as percentage of cost price.
using the percentage cost as given above
sales tax as percentage = sales tax/ cost of item *100
sales tax as percentage = 19.20/480 *100 = 4%
Thus, sales tax rate is 4%.
It means that if cost price of item is $100 then $4 will be the sales tax for the item.
Brittney is making a graph of the exam scores in intervals of ten for a group of students. Which type of graph would be the most appropriate for Brittney to use? A. line graph B. Venn diagram C. histogram D. circle graph
Answer: she needs histogram.
Answer: Brittney needs a Histogram.
Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of
x + y, y - x, xy, y/x
Answer:
x+y:
16<x+y<19
y-x:
3<y-x<6
xy:
60<xy<84
y/x:
10/7<y/x<2
Step-by-step explanation:
For x+y, it'll be
6<x<7
+
10<y<12
=16<x+y<19
____
y-x:
10<y<12
--
6<x<7
because of the negative sign the x inequality is reversed so it is -7<x<-6
and then you do the math and get 3<y-x<5
________
xy:
10<y<12
x
6<x<7
you multiply and get 60<xy<84
________
y/x:
10<y<12
divided by
6<x<7
now what you do is you have to switch around the signs for the x inequality and everything becomes its reciprocal. So the x inequality becomes 1/7<1/x<1/6 and then you multiply and get 10/7<y/x<12/6
Please give me a brainliest award. This took so long. I hope this helped.
Inequalities are used to make non-equal comparisons between two expressions. The inequality signs are: [tex]\ne, >, <, \ge, \le[/tex].
The solutions and possible values to the inequalities are:
[tex]16 < x + y < 19[/tex] [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]
[tex]4 < y - x < 5[/tex] [tex]\to[/tex] [tex]y - x = \{4.5, ...,4.9\}[/tex]
[tex]60 < xy < 84[/tex] [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex] [tex]\to[/tex] [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Given that:
[tex]6 < x < 7[/tex] and [tex]10 < y < 12[/tex]
To calculate the possible values of [tex]x + y[/tex], we simply add both inequalities; i.e.
[tex](6 < x < 7) + (10 < y < 12)[/tex]
This gives:
[tex]6 + 10 < x + y < 7 + 12[/tex]
[tex]16 < x + y < 19[/tex]
This means that the possible values of [tex]x + y[/tex] are between 16 and 19 (both exclusive). So, some possible values are:
[tex]x + y= \{17,18\}[/tex]
To calculate the possible values of [tex]y - x[/tex], we simply subtract the inequality of x from y; i.e.
[tex](10 < y < 12) - (6 < x < 7)[/tex]
This gives:
[tex]10 - 6 < y - x < 12 - 7[/tex]
[tex]4 < y - x < 5[/tex]
This means that the possible values of [tex]y - x[/tex] are between 4 and 5 (both exclusive). So, some possible values are:
[tex]y - x = \{4.5, ...,4.9\}[/tex]
To calculate the possible values of [tex]xy[/tex], we simply multiply both inequalities. i.e.
[tex](6 < x < 7) \times (10 < y < 12)[/tex]
This gives:
[tex]6 \times 10 < x \times y < 7 \times 12[/tex]
[tex]60 < x \times y < 84[/tex]
[tex]60 < xy < 84[/tex]
This means that the possible values of [tex]xy[/tex] are between 60 and 84 (both exclusive). So, some possible values are:
[tex]xy = \{61,62,...83\}[/tex]
To calculate the possible values of [tex]\frac{y}{x}[/tex], we simply divide the inequality of y by x. i.e.
[tex](10 < y < 12) \div (6 < x < 7)[/tex]
This gives:
[tex]\frac{10}{6} < \frac{y}{x} < \frac{12}{7}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex]
This means that the possible values of [tex]\frac{y}{x}[/tex] are between 1.67 and 1.71 (both exclusive). So, some possible values are:
[tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Hence, the solutions and possible values to the inequalities are:
[tex]16 < x + y < 19[/tex] [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]
[tex]4 < y - x < 5[/tex] [tex]\to[/tex] [tex]y - x = \{4.5, 4.9...\}[/tex]
[tex]60 < xy < 84[/tex] [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex] [tex]\to[/tex] [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Read more about inequalities:
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21. The difference between two numbers is 29. If five times the smaller is subtracted from twice the larger,
the result will be one. What is the larger number?
Answer: 48
Step-by-step explanation:
We have to write a system of equations:
The difference between two numbers is 29. Difference means one number (y) minus another number (x) equals 29.
y-x =29
If five times the smaller ( 5 times x , x is the smaller number because is the number to subtract) is subtracted from twice the larger, (2y)
The result will be one
2y-5x =1
Now, we have to multiply the first equation by 2, and subtract the second equation to the first one:
2y -2x = 58
-
2y-5x =1
__________
3x =57
Solve for x:
x =57/3 =19
Replacing the value of x on any equation:
y-x =29
y-19 =29
y = 29+19 = 48
48 (y)> 19(x)
Feel free to ask for more if needed or if you did not understand something.
On a piece of paper, graph y < 3/4x + 2. Then determine which answer choiceu
matches the graph you drew.
Answer:
Graph A is the answer
Step-by-step explanation:
Graph A is correct.
We have an inequality -
[tex]y < \frac{3x}{4}+2[/tex]
We have to graph this inequality and select the correct option.
What is inequality?Inequality in mathematics is a relation that is used to compare two or more algebraic expressions.
We have in our question an inequality as -
[tex]y < \frac{3x}{4}+2[/tex]
Follow the following steps to reach the graph -
STEP 1 ->
Replace the ' < ' sign with ' = ' sign and plot the graph of the equation formed - [tex]y = \frac{3x}{4}+2[/tex]
which is same as y = mx + c.
On comparing : m = [tex]\frac{3}{4}[/tex] and c =2.
Therefore, this line intersects the y - axis at the point (0, 2).
STEP 2 ->
Since the line does not pass through (0,0) we can consider it as our test point. Substituting x = y = 0 in the inequality, we get -
0 < 0 + 2
0 < 2, which is true.
We will shade the area in which (0,0) lies.
STEP 3 ->
Since the inequality is a strict inequality, the line will be a dotted line.
Hence, Graph A is correct.
To solve more questions on plotting the graphs of inequality, visit the link below -
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What is the additive inverse of the polynomial? -7y2+x2y+-3xy-7x2
Answer:
The addidtive inverse is 7y²- x²y - 3xy + 7x²
( here we need to change the sign of each of the term )
Answer:
7y2-x2y+3xy+7xy
Step-by-step explanation:
I got it right
Find the volume of a pyramid with a square base, where the side length of the base is
11.1 m and the height of the pyramid is 8.2 m. Round your answer to the nearest
tenth of a cubic meter.
Answer:
336.8 cubic meter or 336.8m³
Step-by-step explanation:
In other to solve the above question we would be using the volume of a square based pyramid.
The formula for the volume of a square based pyramid is
1/3a²h
In the above question we are given the following values as:
Side length of the base = a = 11.1 m
Height of the pyramid = h = 8.2m
Volume of the square based pyramid = 1/3 × 11.1² × 8.2
= 336.774 cubic meter or 336.774 m³
Approximately to the nearest tenth = 336.8 cubic meter or 336.8m³
A radio station had 120 tickets to a concert. They gave away 2 times as many tickets to listeners as to employees. How many tickets did they give away to employees?
Step-by-step explanation:
If the tickets given to employees = 40
Then tickets given to listeners = 2 x no of employees tickets
= 2 x40 = 80
Total tickets = 40+ 80 = 120
Find the volume of a sphere 8 feet in diameter use 3.14 round your answer to the nearest tenth
(A) 150.7
(B) 267.9
(C) 83.7
(D)67.0
What one is it help me please
Answer:
B 267.9
Step-by-step explanation:
the formula is again the same, so you plug 4 in (because the radius is half the diameter) and solve to get around 267.9
Does this table represent a function ?why or why not ?
Answer:
Yes, because every x value corresponds to exactly one y value
Step-by-step explanation:
To be a function each x has to go to only one y
There is a one to one correspondence so this is a function
Which input value produces the same output value for
the two functions on the graph?
O x= -1
O x=0
O x= 1
O x=2
Answer:
x=1
Step-by-step explanation:
it is the point of intersection of both lines which (1,1)
for x=1 both produce same value i.e.,1
1/4 of a pipe is white , 1/2 part of the remaining is blue. If the remaining part is black and the length of this black part is 5 1/4cm, find the length of the pipe.
Answer: 14 cm
Step-by-step explanation:
First take out 1/4 of the pipe, the portion that is white. Then, half of three quarters of the pipe is blue. 1/2 of 3/4 is 3/8. 3/8(blue) + 2/8(white) = 5/8. Thus, 3/8 of the pipe is black. Thus, take 5.25(The length of the black portion) and multiply it by 8/3(reciprocal of 3/8) to get 14.
Hope it helps <3
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what is 2+3. if not answer get band
Answer:
5
hope your like this a swer
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pls mark me as BRAINLIEST
Answer:
5
Step-by-step explanation:
If you have 2 of something and then you get 3 more of the same thing, you can use your fingers to count how much you have in total now, which is 5.
In the figure, which of the following are collinear points? Question 14 options: A) ACF B) HDG C) AEG D) GBJ
Answer: B )HDG This is the answer stay safe.
Answer:
b. HDG
Step-by-step explanation:
Three or more points that lie on the same line are collinear points. The points D is on the same line as H and G.
So the anwser would be B.
which two of the following have the same value as 4.032?
Answer:D
Step-by-step explanation:
It’s D for sure
Answer:
A and D
Step-by-step explanation:
A. four and thirty-two thousandths. B (4 x 1) + ( 3 x 1/10) + ( 2 x 1/100). C. 4 ones + 3 tenths + 2 hundredths. D. 4 + 0.03 + 0.002
(These are the options for reference.) -->
We first need to know that, 4 = ones 0 = tenths 3 = hundreths 2 = thousandthsSo, let's look at A. --> four and thirty-two thousandths --> we immediately know and this is correct as 1 because it says 4, and thirty-two thousandths = 0.032 so 4 + 0.032 = 4.032 and thus, it is correct
B. --> (4x1) + (3x1/10) + (2x1/100) => 4 + 3/10 + 2/100 = 4.32 so B. is incorrect.
C. --> 4 ones + 3 tenths + 2 hundredths = same as above, 4.32 so C. is incorrect as well.
D. --> We know this has to be correct because the question says which of the following 2 not 1 have the same value as 4.032 and -->
thus, A and D are our answers.
Hope this helps!
Assume a fair deck of playing cards. Find the probability of drawing a 10, replacing it and drawing an ace.
Answer:
There are 52 cards in a deck. The total number of outcomes possible when picking 2 cards and replacing them is 52 * 52 = 2704.
There are 4 10s and 4 aces so the total number of successful outcomes = 4 * 4 = 16.
Probability = 16 / 2704 = 1 / 169
WILL AWARD BRAINLIEST
What is the value of a?