Each point is of the form (x,y). We replace x with some number to get a paired y value.
For instance, if x = 1, then,
[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-1}\\\\y = \sqrt{4}\\\\y = 2[/tex]
Meaning x = 1 and y = 2 pair up. The point (x,y) = (1,2) is on the curve.
Then let's try x = 4
[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-4}\\\\y = \sqrt{1}\\\\y = 1[/tex]
Showing (4,1) is also on the curve.
The point (5,0) is also on the curve too because of the steps below
[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-5}\\\\y = \sqrt{0}\\\\y = 0[/tex]
We can't go any higher than x = 5 or else the expression 5-x will be negative. Eg: if x = 7, then 5-x = 5-7 = -2. We cannot take the square root of a negative and get some real number output.
So let's go in the opposite direction. Let's try x = -4
[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-(-4)}\\\\y=\sqrt{5+4}\\\\y = \sqrt{9}\\\\y = 3[/tex]
Showing (-4,3) is also on the curve.
The x values I'm picking are such that the y value is an integer. For the majority of the x values, you'll get some decimal value which is a bit tricky to graph on paper. So effectively you'll have to use trial and error to find the right x values to pick. The goal is to get the stuff under the square root to simplify to some perfect square (0,1,4,9,...etc)
After generating enough points, you draw a curve through them all. The more points, the more accurate the graph.
wich of the following statements are true?
Answer:
B and D
Step-by-step explanation:
A can't be correct because the length of a segment is always positive. B is correct because we have to take the absolute value of the distance between endpoints to find the length of the segment. C is not correct because AC is obviously longer than BC so how would AB + AC = BC? D is correct because it models the Parts Whole Postulate.
Let f(x)=2(3)x. The graph of g(x)=f(x)+k is shown below. Identify the value of k.
Step-by-step explanation:
From graph of g(x), it is observed that y - intercept is 6.
Therefore,
[tex]6 = 2(3)^{0} + k[/tex]
[tex]k \: = 4[/tex]
The value of k is equal to 4
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here the functions f(x)=2(3)ˣ and g(x)=f(x)+k when x=0 we get
f(0)=2 and from the graph we can clearly observe that g(0)=6
Thus putiing in the values we get k=4
Hence, The value of k is equal to 4
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is a circle a symmetrical
Answer:
yes
Step-by-step explanation:
ny shape that has a line of symmetry is symmetrical shape.means the shape can be folded into two equal halves.
ana starts working at 2:40 pm and finishes work at 5:30 pm. how much time does ana spend working? use the number line to solve the problem
Answer:
2:45
Step-by-step explanation:
What would i do? I’m very confused on where to even start.
Answer:
just ask your question and post it and somebody will help with the answer
Step-by-step explanation:
On a number line, suppose point E has a coordinate of 2, and EG= 12. what are the possible coordinates of point G
Answer:
Step-by-step explanation:
the length of EG is 6 so G is 6 units away from E. If E is at 3, then G is at 3+6 = 9
X is 12 units away from E so X is at 3 + 12 = 15
This assumes you are not using negative numbers.
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Number line are used to represent numbers on a line at regular intervals. The possible coordinates of G is either 10 or -14.
Given that:
[tex]G = 2[/tex]
[tex]EG = 12[/tex]
The equation that calculates EG is:
[tex]EG = |E - G|[/tex]
So, we have:
[tex]12 = |2 - G|[/tex]
Remove absolute brackets
[tex]2 - G = \± 12[/tex]
Add 2 to both sides
[tex]-G =2 \± 12[/tex]
Rewrite as:
[tex]G =-2 \± 12[/tex]
Split
[tex]G =- 2 - 12[/tex] or [tex]G = -2 + 12[/tex]
[tex]G = -14[/tex] or [tex]G = 10[/tex]
The possible coordinates of G are: 10 or -14.
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The difference of twice a number and 2 is -21
Answer:
2x-2= -21
Step-by-step explanation:
Answer:
-9.5
Step-by-step explanation:
We can create an equation to represent this, where [tex]n[/tex] is the missing value.
[tex]2n - 2 = -21[/tex]
Now we can solve for [tex]n[/tex] by isolating it on one side of the equation.
Add 2 to both sides:
[tex]2n - 2 + 2 = -21+2\\\\2n = -19[/tex]
Divide both sides by 2:
[tex]2n\div2 = -19\div2\\\\n = -9.5[/tex]
Hope this helped!
A recipe uses 5 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made from three gallons?
Answer: Three gallons will be enough to make 128 servings.
Step-by-step explanation: In Three gallons there are 64 cups. if 5 cups makes 10 servings, that is 1/2 cup per serving. So 64 cups will make 128 servings.
Help with these questions
Answer: a) -27, b) 35, c) 14
Step-by-step explanation:
a) When a positive number is multiplied by a negative number, your answer is negative, and since we know that 9 × 3 = 27, and that this figure has to be negative (since 9 is negative), the answer is -27.
b) Multiplying two negative numbers gives a positive number, and since 7 × 5 = 35, the answer is positive 35 (as both 7 and 5 in the original question are negative).
c) Follows just like b.
A pair of shoes has an original price of $60. What is the sales price after a 15% discount? *Plz explain your answer*
The original price is 100%, a 15% discount means the shoes are now ( 100-15 = 85) 85% of the original price,.
Multiply the original price by 85%
60 x 0.85 = 51
The price is $51
Answer:
$51
Step-by-step explanation:
15% discount means that the new price is 85% of the original one. Therefore we just need to multiply 60 by 0.85 to find 85% of the number.
60x0.85=$51
The new price would be $51.
Similarly you could also have divided 60 by 100 to find one percent of it (60/100=0.6) and then multiplied it by 85 to find 85%. (0.6x85=51)
Hope this helped!
If o is in the middle of l t, where exactly is it located? If l t =16 cm, what is l o and o t
Answer:
[tex]LO = OT = 8cm[/tex]
Step-by-step explanation:
Given
LT = 16cm
Required
Determine LO and OT
First, we have:
[tex]LO + OT = LT[/tex]
From the question, we understand that O is the middle of LT
This implies that LO = OT
Substitute OT for LO in the above formula
[tex]OT + OT = LT[/tex]
[tex]2OT = LT[/tex]
Divide both sides by 2
[tex]OT = \frac{1}{2}LT[/tex]
Substitute 16cm for LT
[tex]OT = \frac{1}{2} * 16cm[/tex]
[tex]OT = 8cm[/tex]
Recall that LO = OT
So;
[tex]LO = OT = 8cm[/tex]
(m-2)-5=8-2(m-4) ?
Answer:
m=[tex]\frac{23}{3}[/tex] simplest form if you need it as a decimal its m=7.6
Step-by-step explanation:
What is the result of subtracting the polynomial (X2 + 3x) from the
polynomial (-2X + 4X2 +5)?
Answer: -5x+3x²+5
Step-by-step explanation:
(-2x+4x²+5)-(x²+3x)
=-2x+4x²+5-x²-3x
=-2x-3x+4x²-x²+5
=-5x+3x²+5
=3x²-5x+5 (if you are required to write in standard form)
What is 85% of 21 ??
Answer:
Trying to find 85% of 21 is the same thing as multiplying 0.85 by 21.
0.85 * 21 = 17.85.
Hope this helps!
Answer:
The answer is 17.85!
Step-by-step explanation:
Hint: if you don't remember how to convert percentages into decimals, just remove the percent sign and shift the decimal point two places to the left.
Miranda bought a square frame that has an area of 30 square inches.What is the approximate side length of the frame.
Answer:
s = 5.48 in
Step-by-step explanation:
Area of square = s²
30 in² = s²
s = √30
s = 5.48 in
Answer:
Approximately 5.48 inches.
Step-by-step explanation:
Area of a square formula: Area = length^2
Area here = 30 in^2
30 = length^2
Take square root of both sides to get rid of the square.
[tex]\sqrt{30\\}[/tex] = length
length = 5.47722558
The approximate side length of the frame is about 4.58 inches.
Solve for c
-7c-5=-9c+9
c=
Answer:
c = 7
Step-by-step explanation:
Solve for 'c'
-7c - 5 = -9c + 9
-5 -9 = -9c + 7c
-14 = -2c
c = 7
Therefore 'c' equals 7
Answer:
c=7
Step-by-step explanation:
-7c-5=-9c+9
Add 9c to each side
-7c+9c-5=-9c+9c+9
2c -5=9
Add 5 to each side
2c-5+5 = 9+5
2c = 14
Divide each side by 2
2c/2 = 14/2
c=7
The angle measures of the polygon are given. Find the value of x. Quadrilateral: xº, 2xº, 4xº, 5xº Triangle: 2xº, 5xº, (x+20)º PLZ PLZ PLZ HELP I GIVE 5/5 RATING AND WILL NAME BRAINLIEST!!!!!
Answer:
x = 30 Quadrilateral
x = 20 Triangle
Step-by-step explanation:
Quadrilateral
A quadrilateral has a sum of 360 degrees for its interior angles.
So
x + 2x + 4x + 5x = 360 Find the sum of the 4 angles
12x = 360 Divide by 12
12x = 360/12
x = 30 Answer
Triangle
A triangle has an interior angle sum of 180 degrees.
2x + 5x + (x + 20) = 180 Remove the brackets
2x + 5x + x + 20 = 180 Add the angles
8x + 20 = 180 /subtract 20 from both sides
8x = 180 - 20
8x = 160 Divide by 8
x = 160/8
x = 20
100 points plz answer
Answer:
The answer to this is 3x+8
Answer:
x + 4
Step-by-step explanation:
Factor the polynomial.
6 (x+4)^2
What is the product? One-half times one-fifteenth
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
one-half=[tex]\frac{1}{2}[/tex]
one-fifteenth=[tex]\frac{1}{15}[/tex]
[tex]\frac{1}{2}*\frac{1}{15} = \frac{1}{30}[/tex]
To multiply fractions, you multiply the numerator (top number) by the numerator (top number and the denominator (bottom number) by the denominator (bottom number).
Numerator: 1×1=1
Denominator: 2×15=30
So the product of one-half times one-fifteenth is one over thirty.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The product of one-half times one-fifteenth is equal to 1/30.
What is the product of one-half times one-fifteenth?A fraction is a number that represents a part of a whole. Fractions are written as two numbers separated by a fraction bar.
The number on top of the fraction bar is called the numerator, and the number on the bottom of the fraction bar is called the denominator.
We have:
One-half, which is equal to 1/2.
One-fifteenth, which is equal to 1/15.
In mathematics, product means multiplication
Multiplying two fractions is the same as multiplying the numerators and the denominators.
Thus, the product of one-half times one-fifteenth is:
1/2 * 1/15 = (1*1)/(2*15)
= 1/30
The product of one-half times one-fifteenth is 1/30.
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2-3x^2+5x-9x^4
Plsssss helpppppppp
Answer:
4 terms
Step-by-step explanation:
First rearrange the expression from largest to smallest:
-9x^4-3x^2+5x+2
Now count how many terms their are,
-9x^4=1 term
-3x^2=2 terms
5x=3 terms
2=4 terms
Therefore, there are 4 terms in the expression
hey there! it will be a big help if you lend a hand here! thank you <3
Step-by-step explanation:
2(xy)^3
= 2(0.6 * 5)^3
= 2(3)^3
= 2 * 27
= 54
Answer:
54
Step-by-step explanation:
since x= 0.6 and y=5 you replace them in 2(xy)^3
then it would be 2((0.6)(5))^3
first multiply the numbers inside 0.6 times 5 =3
second multiply 3 three times =27
lastly multiply 27 times 2 to get finally 54
hope this helped :)
Find the length indicated.
Find each percent change.
State if it is an increase or decrease.
9) From 16.6 to 13 i really need thisssss preferably have a good explanation so i can do it myself next time
Answer:
21.69% decrease.
Step-by-step explanation:
We want to determine the percent change from 16.6 to 13.
First, since 13 is smaller than 16.6, we know that this is decrease.
Percent change is given by the formula:
[tex]\displaystyle PC=\frac{ \text{New - Old}}{\text{Old} } \cdot100\%[/tex]
The new value is 13 and the old value is 16.6. Substitute:
[tex]\displaystyle PC=\frac{(13)-(16.6)}{16.6} \cdot100\%[/tex]
Evaluate:
[tex]\displaystyle PS = -\frac{3.6}{16.6} \cdot 100 \%[/tex]
Use a calculator:
[tex]\displaystyle PS\approx-0.2169\cdot100\% \\ \\ PS\approx21.69\%[/tex]
We ignore the negative because the negative simply tells us that it's decreasing. (Likewise, if the answer's positive, it's an increase.)
In conclusion, the percent change is an approximate 21.69% decrease.
12m = 14.4 solve the equation PLEASE HELP options A.m=120 B.m=12 C.m=1.2 D.m=0.12
Answer:
m = 1.2
Step-by-step explanation:
12m = 14.4
Divide each side by 12
12m/12 = 14.4/12
m = 1.2
m = 1.2 is the answer
because..
12m = 14.4
Divide each side by 12
12m/12 = 14.4/12
m = 1.2
hope this helped ヾ(•ω•`)oヾ(•ω•`)o
On her first turn, Marlene scored 90 points playing a board game. On her next turn, she
lost 15 points, and then she lost 10 more points. On her final turn, Marlene gained
20 points. What is Marlene's final score?
Answer:
85
Step-by-step explanation:
Graph the oppisite of the opposite of 2 on the number line. Click on the number line to identify the numbers location. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Answer:
-2
Step-by-step explanation:
The opposite of 2 is - 2 because it is the distance way away from 0, just in the opposite side.
Hope this helped!
-3(3x-5)=6x x= (simplify your answer) please help asap
Answer:
kindly see attached picture
hope it helped you:)
Jayden's family took a road trip to the Grand Canyon. Jayden fell asleep 15% of the way through the trip. If the total length of the trip was 1000 miles, how many miles had they travelled when Jayden fell asleep?
Answer:
150 miles
Step-by-step explanation:
15÷100×1000=150
x divided by the product of 5 and y
Answer:
X÷5y
Step-by-step explanation:
5 x y is 5y and then we divide
The expression for the given phrase is 5y/x.
Given that, x divided by the product of 5 and y.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Here,
The product of 5 and y =5×y
= 5y
x divided by the product of 5 and y
= 5y/x
Therefore, the expression for the given phrase is 5y/x.
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solve for x 2x-2+4x-5
Answer:
-40
Step-by-step explanation:
2 times negative 2 is 4 plus 4 is 8 times negative 5 is -40
Answer:
[tex]x=3/2=1.5[/tex]
Step-by-step explanation:
So we have the equation:
[tex]2x-2=4x-5[/tex]
And we want to solve for x. To do this, we need to first isolate the x-variable. So, start by adding 2 to both sides:
[tex](2x-2)+2=(4x-5)+2[/tex]
The 2s on the left cancel:
[tex]2x=4x-3[/tex]
Now, subtract 4x from both sides:
[tex](2x)-4x=(4x-3)-4x[/tex]
The 4xson the right cancel:
[tex]-2x=-3[/tex]
Now, divide both sides by -2.
[tex]\frac{(-2x)}{-2}=\frac{-3}{-2}[/tex]
The negatives cancel. The 2s on the left cancel. Therefore:
[tex]x=3/2=1.5[/tex]