Answer:
y = -3x + 18Step-by-step explanation:
We can see:
x- values increase by 1 unity- values decrease by 3 units (slope is -3).This is a linear relationship. Use point-slope form to find the equation:
y - 15 = -3(x - 1)y = -3x + 3 + 15 y = -3x + 18plz help quick
Find the area of the circle.
Use 3.14 for n. Do not round your answer.
Hint: A = hr2
Area = [?] inches
6 inches
Enter the number that
belongs in the green box.
Answer:
28.26 in ^2
Step-by-step explanation:
The diameter is 6 inches
The radius is 1/2 of the diameter
r = 1/d = 1/2(6) = 3 inches
A = pi r^2 = 3.14( 3)^2 = 3.14 (9) =28.26 in ^2
The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]? There are four points connected by a curve on the graphs. The points are (0, 0), (5, 1), (9, 6), (11, 11). Two-fifths 1 2 Five-halves
Answer:
Below
Step-by-step explanation:
Let f be our function:
● f(9) = 6
● f(11) = 11
Let m be the average speed over the interval [9,11]
● m = [f(11)-f(9)] / 11-9
● m = 11-6 / 2
● m = 5 / 2
● m = 2.5
So the answer is five halves.
Answer:
5/2
Step-by-step explanation:
D on edge
Given three consecutive odd integers whose sum is 369, find the smallest of the three integers.
Answer:
Step-by-step explanation:
369 = x + (x+2) + (x+4)
369 = 3x + 6
363 = 3x
121 = x
now that we know that x = 121, we can solve the equation by plugging in the variable
369 = x + (x+2) + (x+4)
369 = 121 + 123 + 125
369 = 369
The smallest three integers are 121,123 and 125.
Let, the smallest odd integers be n
Then according to the given condition,
[tex]n+(n+2)+(n+4)=369\\3n+6=369\\3n=363\\n=121[/tex]
So, the numbers are,
[tex]n=121\\n+2=121+2=123\\n+4=121+4=125[/tex]
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3a
[tex] \frac{3a + a {}^{2} }{a} [/tex]
Simplify.
Answer:
(3+a)
Step-by-step explanation:
3a + a^2
-------------
a
Factor out an a in the numerator
a(3+a)
-------------
a
Cancel like terms
(3+a)
Step-by-step explanation:
[tex] \frac{3a + {a}^{2} }{a} \\ = \frac{3a}{a} + \frac{ {a}^{2} }{a} \\ = 3 + a \\ thank \: you[/tex]
What is g(x)?
Please help
Answer:
g(x) = -x²
Step-by-step explanation:
Answer:
-x^2
Step-by-step explanation:
The parent equation of a parabola is x^2.
Because the parabola is upside down, the equation becomes negative.
If P(x) = P[tex]_{n}[/tex][tex]x^{n}[/tex] + P[tex]_{n-1}[/tex][tex]x^{n-1}[/tex] + · · · + P[tex]_{0}[/tex] is divided by (x - a), show that the remainder is P(a)
If [tex]P(x) = p_nx^n + p_{n-1}x^{n-1}+\ldots+p_0[/tex] is divided by [tex](x-a)[/tex], then [tex]P(x) = (x-a) \cdot Q(x) + R(x)[/tex] for some polynomials [tex]Q,R[/tex]. Moreover, [tex]\deg R < 1[/tex] (because [tex]\deg (x-a) = 1[/tex]), so there exists [tex]\alpha \in \mathbb{R}[/tex] such that [tex]R(x) = \alpha[/tex] for all [tex]x \in \mathbb{R}[/tex]. But if we calculate [tex]P(a)[/tex], it turns out that [tex]P(a) = (a-a)\cdot Q(a) + \alpha[/tex], so [tex]R(x) = \alpha = P(a)[/tex]. [tex]\blacksquare[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option A, 168 km³
Step-by-step explanation:
Volume of the rectangular prism,
7×4×6
= 168
A manufacturing plant earned 4000 pesos per man-hour of labor when it opened. Each year, the plant earns an additional 6% per man-hour. What expression gives the amount the plant earned per man-hour of labor 3 years after it opened?
Answer:
866.16??????
Step-by-step explanation:
The amount is 4,494.40 plant earned per man-hour of labor 3 years after it opened.
It is required to find the amount the plant earned per man-hour of labor 3 years after it opened.
What is a geometric sequence ?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant. where r is the common ratio between successive terms.
Given:
A manufacturing plant earned 4000 pesos per man-hour of labor.
Rate= 6% per man-hour.
Time=3 years
We can consider the geometric sequence formula
[tex]A_{n} = A_{1} r^{n-1}[/tex]
[tex]A_{1}[/tex]= 4000
r = 1.06/1 = 1.06
n = 3
Substitute:
[tex]A_{3} = 4000(1.06)^{3-1} \\A_{3} = 4000(1.06)^{2}\\A_{3}= 4000(1.1236)\\A_{3} = 4,494.40[/tex]
Therefore, the amount is 4,494.40 plant earned per man-hour of labor 3 years after it opened.
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Rewrite the radical expression as an expression with rational exponents. fifth root of x to the power of 9
Answer:
[tex]x^\frac{9}{5}[/tex]
Step-by-step explanation:
[tex]\sqrt[5]{x}[/tex] is the same thing as [tex]x^{\frac{1}{5}}[/tex].
Now if we have [tex]x^{\frac{1}{5}}[/tex] to the power of 9, the exponents are multiplied.
[tex]x^{\frac{1}{5} \cdot9} = x^{\frac{9}{5} }[/tex].
Hope this helped!
Jamal uses factoring to find the zeros of the equation x2+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.
Which statement BEST explains whether Jamal is correct or incorrect?
A
Jamal is correct because x2+4x−32 is equivalent to (x+4)(x−8).
B
Jamal is correct because x2+4x−32 is equivalent to (x−4)(x+8).
C
Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8).
D
Jamal is incorrect because x2+4x−32 is equivalent to (x+4)(x−8).
Answer:
c)
Step-by-step explanation:
x^2+4x-32 = (x-4)(x+8)
hence,
(x-4)(x+8) = 0
x = 4 or x = -8
the graph intersects at 4 not -4
Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.
Jamal uses factoring to find the zeros of the equation x²+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
x²+4x−32=y
Let y = 0
x²+4x−32=0
x² + 8x - 4x - 32 = 0
x (x + 8) - 4 (x + 8) = 0
(x - 4)(x + 8) = 0
Thus, Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.
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Evaluate 2^2⋅4^3=
Your answer
Answer:
256
Step-by-step explanation:
First, handle the exponent:
2²=4 (2*2=4) and 4³=64 (4*4=16*4=64)
Now multiply those two outcomes:
4*64=256
This equation is also known as 4⁴
please helppp ill give brainliest the question is attached below
Answer: It is false, the diameter is not 16 m.
Step-by-step explanation:
P 4m are 8 m are 32 m away. The diameter= 32 m.
(I hope its rights!!!)
Can someone help me on this math question its confusing ill give brainly when right!!!
Round 2.1 to the nearest whole number.
When you round 2.1 to the nearest whole number, the answer will be 2.
Answer:
2 is the answer
Step-by-step explanation:
to round 2.1 to the nearest whole number consider the tents value of 2.1 which is 1 end less than five therefore we have to round down the ones place value of 2.1 . 2 remains 2 and the decimal point is removed.
2.1 to the nearest whole number is 2
Set A={XIX is an even whole number between 0 and 2) = 0
True? or false?
false
Step-by-step explanation:
false
help me, asap, please
answer is 19
the explanation is in the attachment
Select the correct answer. Frank created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Frank drew?
The equation of the line of best fit that Frank drew will be y = -(1/3) x + 16. Then the correct option is D.
What is the equation of a line passing through two points?Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by
[tex]\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)[/tex]
Frank created a scatter plot and drew a line of best fit, as shown.
From the graph, the two points are taken that are (0, 16) and (3, 15).
(x₁, y₁) → (0, 16)
(x₂, y₂) → (3, 15)
Then the equation of line will be
y – 16 = -1/3(x – 0)
y = -(1/3) x + 16
Then the correct option is D.
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Two rectangles are joined together to form a single large area. The rectangles do not overlap. The first rectangle has side lengths of 333 meters and 555 meters. The second rectangle has side lengths of 777 meters and 444 meters. What is the combined area?
Answer:
Step-by-step explanation:
333 times 555=184815
777 times 444=344988
now add 184815+344988=529803
Given that ∆MTW ≅ ∆CAD, which angles are corresponding parts of the congruent triangles? ∠T ≅ ∠C ∠T ≅ ∠A ∠T ≅ ∠D
Answer:
∠T ≅ ∠A
Step-by-step explanation:
Since, ∆MTW ≅ ∆CAD
Therefore, ∠T ≅ ∠A (cpct)
Help, Answer ASAP; will give brainliest
Answer:
a = 2, b = 3
Step-by-step explanation:
The diagonals of a rectangle bisect each other, thus
5a² = 4a² + 4 ( subtract 4a² from both sides )
a² = 4 ( take the square root of both sides )
a = [tex]\sqrt{4}[/tex] = 2
Also
6b - 8 = 4b - 2 ( subtract 4b from both sides )
2b - 8 = - 2 ( add 8 to both sides )
2b = 6 ( divide both sides by 2 )
b = 3
Find the area of the following shape. Show all work
Best way to solve this is by using
[tex] \sqrt{s(s - a)(s - b)(s - c)} [/tex]
[tex]where \: s = \frac{a + b + c}{2} [/tex]
s=(12+8+17)/2
=18.5
using the formulae
area =43.5
help me out this is important ot me to get an A
Answer:
Step-by-step explanation:
4*10^7/6*10^5=6.67, so (B) is the answer.
Answer: Do 4 x 10x10x10x10x10x10x10 do 6x 10x10x10x10x10 once you get those answers you subtract them and that is your answer.
what is the answer to 1/8=s-3/4
Answer:
7/8 =s
Step-by-step explanation:
1/8=s-3/4
Add 3/4
1/8 + 3/4 = s -3/4 +3/4
1/8 + 3/4 = s
Get a common denominator
1/8 + 3/4 *2/2 = s
1/8 + 6/8 =s
7/8 =s
1/8 = s - 3/4
1/8 = s -6/8 ( * 2/2)
7/8 = s
s = 7/8
What is the value of z for the equation fraction 1 over 2z = −fraction 3 over 4 + fraction 1 over 4z? −3 −1 1 3
Answer:
z= -3
Step-by-step explanation:
Given:
1/2z =-3/4 + 1/4z
Collect like terms
1/2z - 1/4z = -3/4
Add 1/2z - 1/4z
2z-z / 4 = -3/4
We have
z/4=-3/4
Same as
z(1/4) = -3/4
Divide both sides by 1/4
z(1/4) ÷ 1/4 = -3/4÷1/4
z(1/4) × 4/1= -3/4 × 4/1
z(4/4) = -12/4
z= -3
The value of z= -3
Answer:
-3
Step-by-step explanation:
I got it right on the test
Write the fraction as a decimal.
which of the following is true regarding number sets? a. all integers are whole numbers b. all irrational numbers are real numbers c. all real numbers are integers d. all rational numbers are natural numbers
Answer:the answer is A
Step-by-step explanation:
The step is
Real number - rational(irrational)_ - integer - whole - then natural
The true statement regarding number sets are b. all irrational numbers are real numbers.
What are irrational numbers ?Irrational numbers are those numbers which have a non-repeating, non-terminating pattern after decimal place.
According to the given statements we have to determine which is true.
a. all integers are not whole numbers as 0 contains in the set of whole numbers but not in the set of integers.
b. all irrational numbers are real numbers this is a true statement because all the real numbers consist of rational and irrational numbers.
We don't need to check other options because we have been asked which of the following is true not which of the following is/are true.
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Can anyone help me with this question?
x^{2} + 7x -144
quadratic equations
Answer:
?
Step-by-step explanation:
Brainly challenge.
Find the value of a.
a
52
Answer:
26
because a is gone in b than
Factor 2x2 − 4x − 30 completely. (5 points) 2(x − 5)(x + 3) 2(x − 3)(x + 5) (2x + 3)(x − 5) (2x − 5)(x + 3)
Answer:
The answer is
2( x + 3)(x - 5)Step-by-step explanation:
To factor the expression
2x² - 4x - 30
First factor 2 out of the expression
That's
2( x² - 2x - 15)
Next write - 2x as a difference
2( x² + 3x - 5x - 15)
Factor out x from the expression
That's
2 [ x( x + 3) - 5x - 15 ]
Factor out -5 from the expression
2 [ x ( x + 3) - 5( x + 3) ]
Factor out x+3 from the expression
We have the final answer as
2( x + 3)(x - 5)Hope this helps you
Answer:
C. 2(x - 5) (x + 3)
Step-by-step explanation:
I took the test
What is the solution to the linear equation?
2/7+x=6/7+3/7x
Group of answer choices
1
7
1/2
4
Answer:
The answer to your question is 1, or answer choice A.
Step-by-step explanation:
x+ 2 /7 = 3 /7 x+ 6 /7
x+ 2 /7 − 3 /7 x= 3 /7 x+ 6 /7 − 3 /7 x
4 /7 x+ 2 /7 = 6 /7
4 /7 x+ 2 /7 − 2 /7 = 6 /7 − 2 /7
4 /7 x= 4 /7
( 7 /4)*( 4 /7 x)=( 7 /4 )*( 4 /7 )
x=1