Answer:
y ≤ [tex]\frac{1}{3}[/tex] x - 4
Step-by-step explanation:
the first step is to obtain the equation of the line.
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (3, - 3) ← 2 points on the line
m = [tex]\frac{-3-(-4)}{3-0}[/tex] = [tex]\frac{-3+4}{3}[/tex] = [tex]\frac{1}{3}[/tex]
the line crosses the y- axis at (0, - 4 ) ⇒ c = - 4
y = [tex]\frac{1}{3}[/tex] x - 4 ← equation of the line
----------------------------------------------
the shaded region below the line indicates the values that are less than y
the solid line indicates that y can equal the values on the line (≤ )
the solution is then
y ≤ [tex]\frac{1}{3}[/tex] x - 4
Simplify the below expression.
Step-by-step explanation:
3^0=1
3^2=9
[tex] \frac{1}{9} [/tex]
plz mark as brainliest
Answer:
1/9
Step-by-step explanation:
When dividing terms with exponents, you subtract the exponents.
3⁰/3² = 3⁰⁻² = 3⁻² = 1/9
Therefore, the simplified expression is 1/9.
What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?
The equation of a parabola that intersects the x-axis at points (-1, 0) and
(3, 0) is y = x² - 2x - 3.
What is a parabola?
An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola.
Since the parabola intersects x-axis at points (-1,0) and (3,0), the parabola has its axis parallel to y-axis.
The general equation for such parabola is,
y = ax² + bx + c
The roots of the quadratic equation is found when y = 0
We know that when y = 0, x = -1 , 3
So (x+1) (x - 3) = 0
Solving the above equation we can find the equation of parabola
x² - 3x + x -3 = y
Therefore y = x² - 2x- 3 is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0).
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Find the Area of the parallelogram.
12 in.
15 in.
18 in
1.
The table below shows the number of animals at a local petting zoo.
Animal
Ponies
Goats
Number
3
3
Rabbits
8
Type a response
Sheep
6
Write the ratio of ponies to sheep.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio, it
possible.
1/2
If there are 3 ponies, and 6 sheep,
the original ratio is 3/6.
However, it must be simplified down to 1/2.
please help mee!!Will mark brainlyist if right:)
Answer:
[tex]opposite \approx 147[/tex]
Step-by-step explanation:
To solve this problem one can use the trigonometric ratios, these ratios are the following,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
In this problem, one is given the adjacent side, and is asked to find the opposite side, thus use the function ([tex]tan[/tex]). Substitute in the given value and solve,
[tex]tan(52)=\frac{opposite}{115}[/tex]
Inverse operations,
[tex]115(tan(52))=opposite[/tex]
Solve,
[tex]147 \approx opposite[/tex]
Giving brainlist to whoever answers
Answer:
19 ( i think)
Step-by-step explanation:
1/8*(5/5)= 5/40
2/5*(8/8)= 16/40
16/40 + 5/40 =21/40
40-21= 19
Answer:
19 houses
Step-by-step explanation:
HELP ASAP PLS 50!!!!
Identify or mark the missing side or angle that would make triangle ABC a congruent to triangle PDF by SAS
Answer:
AC = PF
Step-by-step explanation:
Solve: 51 ÷ [(-15) + (-2)
seven pounds of fertilizer can cover 1400 square feet.canbe covered by 2 pounds of fertilizer
The area for 2 pounds of fertilizer is 400 square feet
How to determine the amount of fertilizer for 2 pounds?
From the question, we have the following parameters that can be used in our computation:
seven pounds of fertilizer can cover 1400 square feet
This means that
7 pounds of fertilizer = 1400 square feet
Divide both sides of the equation by 7
So, we have the following representation
1 pounds of fertilizer = 200 square feet
Multiply both sides of the equation by 2
So, we have the following representation
2 pounds of fertilizer = 400 square feet
Hence, the area is 400 square feet
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Sarah competes in a long jump competition.
Her first jump is 4.25m
Her best jump is 12% more than this
However her best jump is 15% lower than the winning jump
Work out the length of the winning jump
Answer: 5.474 m
Step-by-step explanation:
first jump = 4.25
best jump = first jump * 1.12
winning jump = best jump *1.15
You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make
a 48 degree angle to look up at the cat. How high is the cat?
Answer:
11.1 feet
Step-by-step explanation:
person = B cat = C
C
/ |
/ | x
B /_48]________ ______|
|____10ft____|
since we know the adjacent side but want the opposite side, we can use tan(angle)=opp/adj to solve. (make sure to be in degrees lol)
tangent ( 48) = x/10
10 * tan(48) = x
11.1 = x
The cat is 11.1 feet high.
Find the value of x in the Diagram Below.
Which of the statements best describe the origin on the coordinate system?
1. The X and y-axes intersect at the origin.
Il. The origin is the distance from right to left.
III. The point, (0.0). is the ordered pair at the origin.
IV. The origin is the distance from top to bottom
Answer:
The point, (0.0). is the ordered pair at the origin.
Step-by-step explanation:
Jon invested $5,000 dollars into an account with an interest rate of 15% compounded continuously. Approximately how long will it take the investment to triple? A=P(1±rn)nt Group of answer choices
The time for it take the investment to triple will be 8 years.
What is Simple interest?
A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
The principal amount = $5,000
The interest rate = 15%
The total amount after x years = 3 x $5,000
= $15,000
Now,
We know that, the formulate for total amount is,
⇒ [tex]A = P (1 + r)^x[/tex]
Substitute all the values we get;
⇒ [tex]A = P (1 + r)^x[/tex]
⇒ 15,000 = 5,000 (1 + 0.15)ˣ
⇒ 3 = (1.15)ˣ
Take log,
⇒ log 3 = x log 1.15
⇒ 0.47 = x × 0.06
⇒ x = 8 years
Thus, The time for it take the investment to triple will be 8 years.
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evaluate the expression 27 2/3
Answer: 9
Step-by-step explanation: Simplify the expression = 3 *3 ( 2 /3 )
Cancel the common factor of 3 = 3*3
Raise 3 to the power of 2 = 9
The mixed fraction number 27 ²/₃ in the form of the decimal number will be 27.667.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The mixed fraction number is given below.
⇒ 27 ²/₃
Convert the mixed fraction number into a decimal number. Then we have
⇒ 27 ²/₃
⇒ 27 + ²/₃
⇒ 27 + 0.667
⇒ 27.667
The mixed fraction number 27 ²/₃ in the form of the decimal number will be 27.667.
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You have $9 to spend on lip balm and hand sanitizer. The equation $1.5x+2.5y=9$ represents this situation, where x is tubes of lip balm and y is bottles of hand sanitizer. How many tubes of lip balm can you buy when you do not buy any bottles of hand sanitizer?
Answer:
6 tubes of lip balm
Step-by-step explanation:
We can start solving this problem by isolating the variable x.
Given the equation 1.5x + 2.5y = 9, and we know that y = 0 (because we're not buying any bottles of hand sanitizer), we can substitute this into the equation:
1.5x + 2.5(0) = 9
Simplifying this, we get:
1.5x = 9
To solve for x, we can divide both sides of the equation by 1.5:
x = 9/1.5
x = 6
So we can buy 6 tubes of lip balm if we do not buy any bottles of hand sanitizer
Your neighbor pays you $17 for every two hours of work how many hours do you work if you earn $42.50
Answer:
To find the number of hours you work, you need to set up an equation using the information given. Let's say that the number of hours you work is x. The equation would be:
17(x/2) = 42.50
The parentheses around x/2 indicate that the division should be done before the multiplication. So, x/2 = 2.5. Multiplying both sides of the equation by 2 gives us:
x = 5
So, you work 5 hours.
Step-by-step explanation:
So, we know that you earn $17 per 2 hours. We also know that we earned $42.50. Now, we just need to find the hours! We can do this by using a cross multiply.
$17 is directly correlated to 2 hours of work. Therefore, to find the hourly wage we should divide it by 2:
$8.5 = 1 hour
$42.50 = x hours?
Now cross multiply:
$8.5x = $42.50
x = 5 hours
Therefore, your answer is 5 hours!
Hope this helps!
I need help.
The truth is, I don't know why the Brainly appears in English, if I needed it in Spanish. So, homework is in Spanish. I really need the help because I'm very behind in math. Thanks. And sorry for the horrible traduction. I'm so bad at english.
Answer:
Hey you can login in Spain Server if you find difficulty here
solve for g here
[tex]55g + 25 = 625 \div 25[/tex]
Answer:
0
Step-by-step explanation:
625 / 25 = 25
55g + 25 = 25
55g = 25 - 25
55g = 0
g = 0/55
g = 0
Answer:
[tex] \sf \: g = 0[/tex]
Step-by-step explanation:
Given equation,
→ 55g + 25 = 625 ÷ 25
Now the value of g will be,
→ 55g + 25 = 625 ÷ 25
→ 55g + 25 = 25
→ 55g = 25 - 25
→ g = 0 ÷ 55
→ [ g = 0 ]
Hence, the value of g is 0.
NEED HELP THX ASAP !! LOOK AT PICTURE
Answer:
(0, 4)
Step-by-step explanation:
If x = 0, 4(3^x) = 4(3^0) = 4(1) = 4. So the y-intercept is (0, 4)
Is x 3 a factor of the polynomial x^3 3x^2 4x 12?
(x - 3) is a factor of the polynomial f(x) = x³ - 3x² + 4x - 12 since f(3) = 0.
To solve the problem, recall the factor theorem.
Factor Theorem states that if we have a polynomial f(x) and if (x - a) is a factor of f(x), then f(a) = 0
The given function is:
f(x) = x³ - 3x² + 4x - 12
To see whether x - 3 is a factor of f(x) = x³ - 3x² + 4x - 12, we need to find f(3).
Substitute x = 3 into f(x):
f(3) =3³ - 3(3)² + 4(3) - 12
f(3) = 27 - 27 + 12 - 12
f(3) = 0
Since f(3) = 0, then x -3 is a factor of x³ - 3x² + 4x - 12
Your question is incomplete, but most probably your question was:
Is x - 3 a factor of the polynomial x³ - 3x² + 4x - 12?
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you do mot have to exsplain the answer i just wat the correct answer
no links please
Answer:
144
Step-by-step explanation:
Find the values of x and y.
The values of x and y, given the angles, can be found to be :
x = 13y = 20How to find the values of x and y ?The parallel line is drawn such that ( 7 y - 12 ) degrees and ( 6 y + 8 ) degrees are equal to each other.
In the same vein, 4x degrees and 6x - 26 degrees are the same as well. This is because they are vertical angles.
The value of x is:
4x = 6x - 26
6x - 4 x = 26
2x = 26
x = 26 / 2
x = 13
The value of y is :
7 y - 12 = 6 y + 8
7y - 6 y = 8 + 12
y = 20
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Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..
Ty!
Answer:
d
Step-by-step explanation:
Find the y-intercept and x-intercept y=(2x+144)(x-133)
Answer:
x-intercepts: -72 and 133
y-intercept: -19152
Step-by-step explanation:
You can solve for x-intercepts by...
[tex]y = (2x + 144)(x - 133)[/tex]
2x+144=0
-144 -144
2x=-144
2 2
x=-72
x-133=0
+133 +133
x=133
to find y intercept you plug in 0 for x...
y=(2(0)+144)(0-133)
y=(0+144)(-133)
y=(144)(-133)
y=-19152
Is 2x³ a polynomial?
[tex]2xA^{3}[/tex] is a polynomial as a result. Constants, variables, and exponents can all be included in a polynomial, but variable division is never permitted.
what is a polynomial ?In mathematics, a polynomial is an expression made up of variables (also known as indeterminates) and coefficients that exclusively uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).
given
[tex]2xA^{3}[/tex] is a polynomial as a result. Constants, variables, and exponents can all be included in a polynomial, but variable division is never permitted.
It is impossible to classify an expression as a polynomial if it contains a variable with exponents that are negative or fractional, divides by a variable, or is included inside a radical.
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Can someone confirm if I am correct or not?
Answer:
You are in fact correct
Step-by-step explanation:
mark brainliest plss
Answer:
yes
Step-by-step explanation:
Find the area. Simplify your answer.
Is gram equal to mole?
No, 1 gram is not equal to 1 mole. The numerical values of mole and gram are different for an object.
What is 1 gram?
Avogadro number of atoms makes up one mole. It is possible to convert a mole into grams if you know the mole quantity.
Mole: The International System of Units uses the mole (symbol: mol) as the unit of material quantity. How many elementary entities of a particular substance are present in an object or sample is determined by the quantity of that material. It is specified that the mole contains exactly 6.02214076×10²³ elementary entities.
The relation between gram and mole is
1 gram = Mole × atomic weight.
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For questions 8 and 9, determine if S could lie on the perpendicular bisector of QR with the
given coordinates.
8. Q(-5, -1), R(3, 7), S(4,-2)
9. Q(-5, 4), R(8. -3), S(-2. -5)
Yes S lies as the perpendicular bisector as asked in the question .
The distance is calculated with the use of distance formula,
d = √( x2 - x1 )² + ( y2 - y1 )²
Now , we are suppose to calculate the distance between the points S and R, given their values are ,
S=(4,-2) and
R=(3,7)
Using distance formula ,
d = √( 3 - 4 )² + ( 7 - (-2))²
d = √ 1 + 81
= √82
Now, the distance between Q and S can be found as ,
Q=(-5,-1)
S=(4,-2)
d = d = √(4 + 5)² + ( -2 + 1)²
d = √ 81 + 1
= √82
As the distance between the two ends of the segment and the point S is the same, the point S must lie on the perpendicular bisector of QR, according to the perpendicular bisector theorem.
For question number 9 the distance between Q and S are,
Q=(-5,4)
S=(-2,-5)
d = √( -2 -5)² + ( 5 - 4)²
d = √ 9 + 1
= √10
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