Answer:
Step-by-step explanation:
Given the function y= 2x if x>0 and x−3 if x≤0, to find the value of the function for x = 1, we will substitute x = 1 into the function y = 2x since x>0 at that point.
If x = 1;
y = 2(1)
y = 2
Hence when x = 1, y = 2
If x = 3, we will still use the function y = 2x since 3 is still grater than 0 satisfying the condition x>0.
y = 2(3)
y = 6
Hence when x = 3, y = 6
when x = 0, since x is zero, we will substitute x = 0 into the function x-3 because x≤0 at this point.
If y = x-3
y = 0-3
y = -3
Hence when x = 0, y = -3
when x = -2, we will substitute x = 0 into the function x-3 because -2 is also less than zero
If y = x-3 for x≤0
y = -2-3
y = -5
Hence when x = -2, y = -5
A farmers has 17 sheep and all but nine die. How many are left?
Answer:
9 sheeps.
Step-by-step explanation:
Note the usage of words.
If you remove "but nine", you will be left with "all... die", which means that he will have 0 sheep. However, the usage of 9 implies that there are some remaining; The number attached suggest the amount left.
9 sheep are left.
~
Answer:
9
Step-by-step explanation:
The population of a certain city decreased by 43,000 people.
Write a signed number to represent this population change.
A signed number to represent a given population change is -43,000.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
Since the population of a certain city decreased by 43,000 people.
The negative sign indicates that the population decreased, which means there was a decrease in the quantity of 43,000 people.
Thus, we can population change is shown by -43,000.
Hence, a signed number to represent this population change is -43,000.
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please help me out am so confused
Answer:
(i) 2197
Step-by-step explanation:
(i) 13^3
= (10+3)^3
= 10^3 + 3^3 + 3(10)(3) (10+3)
= 1000 + 27 + 90(13)
= 1027 + 1170
= 2197
Similarly you can solve the other two.What is the image point of (6, 1) after a translation left 5 units and down 1 unit?
Could someone uh, help me? I’m a bit confused.
5/8 divided by 5 what is the answer in fraction form
Answer:
1/8
Step-by-step explanation:
What is an equivalent fraction for 0.625
Answer:
5/8
Step-by-step explanation:
The answer is 5/8 because 1/8 is equivalent to 0.125, so just multiply 0.125 with 5. Then, you will get 0.625 as you answer.
Hope this helps!
The coordinates of the point of the way from A to B are?
(Type an ordered pair.)
ANSWER: (12,11), (x,y)
12 steps to the right on the x-axismaking the value a plus, and 11 steps up on the y axis making the numeral positive as well.
The frequency table shows the distribution of 1,200 students at a high school. To the nearest percent, what percentage of females are freshmen or sophomores? Frequency Table of Student at a High School Seniors Total Freshmen Sophomores Juniors 168 128 166 146 Males 608 Females 160 592 134 162 136 328 264 306 302 1.200 Total 27% 50% 53% 23% My Progress
Answer:
23 percent
Step-by-step explanation:
The percentage of females who are freshmen or sophomores will be 50%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
The frequency table shows the distribution of 1,200 students at a high school.
The frequency table is given below.
Then the percentage of females who are freshmen or sophomores will be
P = (134 + 162) / 592 x 100
P = 296 / 592 x 100
P = 0.5 x 100
P = 50%
Thus, the correct option is B.
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4+(9x2)÷(4-1)-4 simplify by using order of operations
The required simplified value of the expression is 6.
Given that,
An expression is given 4+(9x2)÷(4-1)-4,
To simplify the given expression.
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements.
⇒ simplification
= 4+(9x2)÷(4-1)-4
Step 1 applies to the multiply and subtraction operation in the parenthesis.|
= 4 + (18) ÷ (3) - 4
Step 2 following the PEMDAS rule division of 18 by 3,
= 4 + 6 - 4
Step 3 association of termes,
= 6
Thus, the required simplified value of the expression is 6.
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In the early spring, the trout at Big Blue Lake swim at a depth of 30 feet below sea level.
When the lake warms up in the summer, the trout swim 20 feet deeper than that.
At what position relative to sea level do the trout swim in the summer?
Given :
In the early spring, the trout at Big Blue Lake swim at a depth of 30 feet below sea level.
When the lake warms up in the summer, the trout swim 20 feet deeper than that , d = 20 feet .
To Find :
At what position relative to sea level do the trout swim in the summer.
Solution :
Depth in spring from surface , [tex]D_s=30\ feet[/tex] .
Let , depth in summer is D .
Now , depth in summer relative to sea-level is :
[tex]D=D_s+d\\\\D=30+20\ feet\\\\D=50\ feet[/tex]
Therefore , trout swim 50 feet deep below the sea level in the summer .
Hence , this is the required solution .
Answer:
-50
Step-by-step explanation:
bcuz it is
The store charges $1.95 for a pack of 5 pens. What is the individual price per pen ?
A - .50
B- $1.95
C- $2.56
D- .39
does anyone know or can explain ?
is the answer A),B),C) or D)?
Answer:
D) 2a-6
Step-by-step explanation:
Graham sold 6 less = -6
Than double what Adriania sold. = 2a
2a - 6
Help please.. for my sister .... I’m older and I don’t get this
Answer: C. Point M
Step-by-step explanation:
There are 10 tick marks. The tick marks could be guessed to be 0.05, 0.1, 0.15, 0.2, 0.25, 0.3, 0.35, 0.4, 0.45, 0.50. 1/3 as a decimal is 0.33. The point should be between the(6th tick mark) 0.3 and (7th tick mark) 0.35 based on the assumed tick marks. Looking at the number line, the point that is between the 6th and 7th tick mark is M. Therefore, the answer is Point M.y = x - 2 and y=-2x +7
Answer:
x = 3 , y = 1
Step-by-step explanation:
Solve the following system:
{y = x - 2 | (equation 1)
y = 7 - 2 x | (equation 2)
Express the system in standard form:
{-x + y = -2 | (equation 1)
2 x + y = 7 | (equation 2)
Swap equation 1 with equation 2:
{2 x + y = 7 | (equation 1)
-x + y = -2 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x + y = 7 | (equation 1)
0 x+(3 y)/2 = 3/2 | (equation 2)
Multiply equation 2 by 2/3:
{2 x + y = 7 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 6 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 3 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 3 , y = 1
[tex]\huge\boxed{\boxed{\bold{(3, 1)}}}[/tex]
[tex]\hrulefill[/tex]
I'm assuming you need to find the solution to this system of equations (where the lines intersect).
We can use the substitution method to solve this system. Take the value of [tex]y[/tex] from the second equation and substitute it into the first:
[tex]-2x+7=x-2[/tex]
Add [tex]2x[/tex] to both sides of the new equation:
[tex]7=3x-2[/tex]
Now add [tex]2[/tex] to both sides of the equation:
[tex]9=3x[/tex]
Divide both sides by [tex]3[/tex]:
[tex]\boxed{3}=x[/tex]
Now let's solve for [tex]y[/tex] by substituting the known value of [tex]x[/tex] into the first equation:
[tex]y=3-2[/tex]
Simplify using subtraction:
[tex]y=\boxed{1}[/tex]
This means our solution is:
[tex]\large\boxed{(3, 1)}[/tex]
solve for v bellow. 8(z-5)=16
Answer:
z=7
Step-by-step explanation:
8(z-5)=16
Divide by 8
8/8(z-5)=16/8
z-5 = 2
Add 5 to each side
z-5+5 = 2+5
z = 7
Answer:
z = 7
Step-by-step explanation:
Expand 8 ( z - 5 ) = 16 first.
8z - 40 = 16
Move 40 to the other side.
8z = 40 + 16
8z = 56
z = 7
how do i solve this?
Melissa read 4 books each week for 4 weeks. Amanda read 5 books a week for 4 weeks. How many more did Amanda read? Choose the answer that has the correct expression and the correct answer to the question .
Answer:
Amanda read 4 for than Melissa.
Step-by-step explanation:
Amanda read 20 and Melissa read 16. 20-16=4.
Answer:
5 x 4 – 4 x 4; Amanda read 4 more books than Melissa
Step-by-step explanation:
"How many more" means to subtract the products, not add them. Also, do the multiplication first before you subtract.
A national survey of middle-school students asks which subject is most challenging. Which of these samples is a representative sample? A. 372 sixth-graders in a certain town B. 972 seventh-graders in a certain county C. 619 eighth-graders in different states D. 400 students from various states, representing different grades, 6–8
Classity 2 and 1 using all relationships that apply.
Supplementary
Vertical
Complementary
Adjacent
Linear Pair
7
Pls help
Answer:
Vertical Angles
Step-by-step explanation:
Vertical Angles are the angles opposite each other when two lines cross.
It is found that angle 2 and angle 1 are vertically opposite angles.
What is vertically opposite angles?The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Thus, Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
Also, When you slice a given object vertically (perpendicular to the ground level), then the sliced surface is called vertical cross section.
WE have to Classity 2 and 1 using all relationships that apply.
Therefore, we can see that angle 2 and angle 1 are vertically opposite angles.
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A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50
off an order. Since the donut shop has gained popularity they have changed their coupon which
now provides a discount of only half their original coupon's value. What is the equation that
represents the value of a customer's order who uses the new coupon with their order?
What value of x is in the solution set of 9(2x+1) <9x-18?
Answer:
x = 0
Step-by-step explanation:
9(2x+1) < 9x - 18
Distribute the 9 through
18x + 9 < 9x - 18
Get like terms on the same sides
9x < -27
Divide both sides by the value in front of the x
x < -3
Hope this helps! :)
Which of these sets of ordered pairs below does not represent a function?
{(1, 1) (2, 2) (3, 3) (4,4) (5,5)}
{(2, 1) (4, 2) (6, 3) (8, 1) (10, 2)}
{(0, 0) (2, 3) (3,6) (2.9) (6, 12}}
{(1,5) (2, 4) (3, 3) (4,2) (5, 1)]
Answer:
0,0
Step-by-step explanation:
The function set is empty
The ordered pair in options B and D does not represents the function.
The sets of ordered pairs {(1, 1) (2, 2) (3, 3) (4,4) (5,5)}, {(2, 1) (4, 2) (6, 3) (8, 1) (10, 2)}, {(0, 0) (2, 3) (3,6) (2.9) (6, 12)} and {(1,5) (2, 4) (3, 3) (4,2) (5, 1)}.
What is function?A function is defined as a relation between a set of inputs having one output each.
For the given ordered pairs graphs are plotted below.
A) The ordered pair {(1, 1) (2, 2) (3, 3) (4,4) (5,5)} represents the linear function.
B) The ordered pair {(2, 1) (4, 2) (6, 3) (8, 1) (10, 2)} does not represents the function.
C) The ordered pair {(0, 0) (2, 3) (3, 6) (2, 9) (6, 12)} does not represents the function.
D) The ordered pair {(1,5) (2, 4) (3, 3) (4,2) (5, 1)} represents the linear function.
Therefore, the ordered pair in options B and D does not represents the function.
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Solve the equation
-4(-3+2p) = -2(6p - 1).
Need help fast please
Answer:
-2.4
Step-by-step explanation:
distribute the -4 and -2
add 12p to both sides
subtract 12 from both sides
divide
what property does this equation use.
If LM = NP , then NP = LM
-distributive
-substitution
-division
-subtraction
-multiplication
-transitive
-reflexive
-symmetric
Answer:
reflexive
Step-by-step explanation:
memorize it as the equal sign is a mirror that reflects so its the same!
A gamestop you can buy a xbox one foe 150.00 and each game to go with it would cost 24.00 or you can buy a playstation 4 for 180.00 abd esch game for 20.00
Answer:
Let's write two linear equations:
For the Xbox, we have:
Price per console (you pay it only once) = $150.
Price per game = $24
Then, the total price if you buy x games, you have:
P1(x) = $150 + $24*x
For the Playstation we have:
Price per console (again yo pay it only once) = $180
Price per game = $20
So if you buy x games, the total price is:
P2(x) = $180 + $20*x.
Now, we can find the number x such that both prices are equal
P1(x) = P2(x)
$150 + $24*x = $180 + $20*x.
let's solve this for x.
$24*x - $20*x = $180 - $150
$4*x = $30
x = $30/$4 = 7.5
What does this mean?
If you buy less than 7.5 games (7 or less) then the Xbox will be cheaper, because the y-intercept is smaller.
If you buy more than 7.5 games (8 or more) then the Playstation will be cheaper, because the price per game is smaller.
Thomas the giant gorilla climbed to the top of a building 650 feet tall. He broke loose a statue and threw it down with an initial velocity of 50 feet per second. How long will it take for the statue to hit the ground ?
Answer:
13
Step-by-step explanation:
time=distance÷speed
time= 650÷50
A card is picked a random from the following set:
6,7,8,9
What is P(9)? Write as a Percentage
Answer:
25%
Step-by-step explanation:
There are 4 cards. Each one is a different number.
Only one card is a 9.
p(9) = 1/4 = 0.25 = 25%
Solve.
h + 14 = -14
h =
Answer:
h= -28
Step-by-step explanation:
h+14=-14 isolate h by subtracting 14 on both sides
h= -28
Answer:
h=-28
Step-by-step explanation:
k byeeeeeeeeeeeeee:)
a recipe for one pumpkin pie calls for 1 1/4 cups of sugar Elena only has 1/2 cup of sugar and she needs to make for pumpkin pies how many more cups of sugar does Elena need to make All 4 pies?
Answer: she would need four and a half cups more of sugar.
Step-by-step explanation:
You have to add together all of them sugar she would have needed so (1 1/4 times 4) and then subtract what she already had and that gives you 4 and 1/2 cups she would need. Hope this helps
Answer: 4 and 1/2
Step-by-step explanation:
You add together all of the sugar that she would have needed which is 1 1/4 * 4 and then subtract what she already had before which would give you 4 and 1/2 cups she would need.