Hello there! I am Grace Rosalia (SilentNature), and I hope my answer will help you! :)
-2x-35=-87
-2x=-87+35
-2x=-52
Divide both sides by -2 to isolate x:
x=26
Hope this helps you! :)
~Just a joyful teen
\(SilentNature\)
The solution of the given equation is x = -21.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The given equation can be solved as follows,
−2x − 35 = 87
=> -2x = -35 + 87
=> -2x = 42
=> x = -42/2
= -21
Hence, the value of x for the given equation is -21.
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4p – 3 = 13
answer pls
Answer:
Step-by-step explanation: 4p= 13+3
4p= 16
p=16/4
p=4
what is the standard form of 2x-3ײ=5
Answer:
6×1 7×
Step-by-step explanation:
that's the answer
How do i solve this 2xz-5xFactorize
Step 1
Given; Factorize
\(2xz-5x\)Step 2
The common variable between both terms in the expression is x. Thus, we factor out x
\(\begin{gathered} x(\frac{2xz}{x}-\frac{5x}{x}) \\ Simplify \\ =x(2z-5) \end{gathered}\)Answer;
\(x\left(2z-5\right)\)Caculate.
2 1/4÷(3/8÷1/2)
let's firstly convert the mixed fraction to improper fraction and proceed from there.
\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)
Write 1/4 as a fraction with 8 as the denominator. Then add the fraction to 3/8. What is the sum? Write the fractions and the answer.
Answer:
2/8, 5/8
Step-by-step explanation:
\(\frac{1}{4}*\frac{2}{2} =\frac{2}{8} \\\\\frac{3}{8} +\frac{2}{8} =\frac{5}{8}\)
Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.
To add fractions with the same denominator just add the numerator, the denominator stays the same.
The fraction is 2/8 and the sum is 5/8.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
let the numerator be x when denominator is 8.
so, 1/4 = x /8
8 = 4x
x= 8/4
x= 2
Now, fraction resulted above is added with 3/8
2/8 + 3/8
= (2+3)/8
= 5/8
Hence, the sum is 5/8.
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Of(x) = x² - 6x-1-
Mark thic and return
24
-10-8-8-22-
-8
-8
-10
2
B
8 10 x
What is the axis of symmetry
The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.
How to determine the axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry, Xmin = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
By substituting the parameters, we have the following:
Axis of symmetry, Xmin = -b/2a
Axis of symmetry, Xmin = -(-6)/2(1)
Axis of symmetry, Xmin = 6/2
Axis of symmetry, Xmin = 3.
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Rezolvati inecuatia -7 supra -x+4 mai mare sau egal cu 0
Answer: x∈(4,+∞)
Step-by-step explanation:
\(\displaystyle\\\frac{-7}{-x+4} \geq 0\\\\\frac{-7}{-(x-4)}\geq 0\\\\\frac{7}{x-4}\geq 0 \\\)
Domain:
\(x-4\neq 0\\x-4+4\neq 0+4\\x\neq 4\)
Thus,
\(7 > 0\\Hence,\\\x-4 > 0\\x-4+4 > 0+4\\x > 4\)
El aula 101 y el aula 102 comparten la cartelera
del pasillo. Si el aula 101 usa de su mitad
para mostrar trabajos artísticos, ¿qué fracción
de la cartelera total se usa para mostrar
trabajos artísticos del aula 101?
Answer:
1/2
Step-by-step explanation:
pues el ejercicio te da la respuesta
te dice que el aula usa la MITAD = 1/2 para trabajos artisticos.
respuesta 1/2
Use the distance formula to find the length of the segment C(2, 1) to
D(5,6). Round your answer to two decimal places.
Answer: 5.83
Step-by-step explanation:
\(\sqrt{(2-5)^2 + (1-6)^2}=\sqrt{34} \approx 5.83\)
Consider the system of linear equations below.
3x + y = -4
--5x + y = 8
Graph on a graph paper and
Describe the graph
A) they are parallel
B) the concide
C) they intersect
PLEASE HELP ME WILL GIVE BRAIN!!
Student A rewrote the expression correctly. When the factor is multiplied by the quotient, it yields the dividend.
Student B did not rewrite the expression correctly. When the factor is multiplied by the quotient, it does not yield the dividend.
Student C rewrote the expression correctly. When the factor is multiplied by the quotient, it yields the dividend.
The expression when it is rewritten is 4x²(9x + 4x³)
What is a common factor?The factor of a number is a number that perfectly divides a number. A common factor is a factor that two or more numbers share. An example of a common factor of 10 and 20 is 10.
In order to determine if the students rewrote the expressions correctly, use the distributive property to determine if it would yield the initial expression. If it does, the students are correct.
Student A = 4x³(9 + 4x²) = 36x³ + 16\(x^{5}\)
Student B = 3x²(12x + 2x³) = 36x³ + 6\(x^{5}\)
Student C = 2x(18x² + 8\(x^{4}\)) = 36x³ + 16\(x^{5}\)
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f(x)= a(x+p)² +q and g(x)= 0 3 3.1 x + p 1. The turning point of f is (1;4) and the asymptotes of g intersect at the turning point of f. Both graphs cut the y-axic at 3. 3.2 3.3 3.4 a 10 g +94 (1:4) Determine the equation of f Determine the equation of g Determine the coordinates of the x-intercept of g For which values of x will f(x) ≥ g(x)? [9]
Step-by-step explanation:
Let's solve the given questions step by step:
1. Determine the equation of f:
From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:
f(x) = a(x + p)^2 + q
Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:
4 = a(1 + p)^2 + q
This gives us one equation involving a, p, and q.
2. Determine the equation of g:
The equation of g is given as g(x) = 0.3x + p1.
3. Determine the coordinates of the x-intercept of g:
The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.
Setting g(x) = 0, we can solve for x:
0 = 0.3x + p1
-0.3x = p1
x = -p1/0.3
Therefore, the x-intercept of g is (-p1/0.3, 0).
4. For which values of x will f(x) ≥ g(x)?
To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.
f(x) = a(x + p)^2 + q
g(x) = 0.3x + p1
We need to find the values of x for which f(x) ≥ g(x):
a(x + p)^2 + q ≥ 0.3x + p1
Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.
To summarize:
We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).
Suppose that 25% of the fire alarms in a city are false alarms. Let X denote the number of false alarms in a random sample of 100 alarms. Find the probabilities for the following number of false alarms: a) P(28 ≤ X ≤ 30) = b) P(X ≥ 35) = Round to the nearest hundredth.
The probabilities are given as follows:
a) P(28 ≤ X ≤ 30) = 0.2142 = 21.42%.
b) P(X ≥ 35) = 0.0143 = 1.43%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with \(\mu = np, \sigma = \sqrt{np(1-p)}\).The proportion and the sample size for this problem are given as follows:
p = 0.25, n = 100.
Then the mean and the standard deviation for the approximation are given as follows:
\(\mu = 100 \times 0.25 = 25\)\(\sigma = \sqrt{100 \times 0.25 \times 0.75} = 4.33\)The probability for item a, considering continuity correction, is the p-value of Z when X = 31.5 subtracted by the p-value of Z when X = 27.5, hence:
X = 31.5:
Z = (31.5 - 25)/4.33
Z = 1.5
Z = 1.5 has a p-value of 0.9332.
X = 27.5:
Z = (27.5 - 25)/4.33
Z = 0.58
Z = 0.58 has a p-value of 0.7190.
Then:
0.9332 - 0.7190 = 0.2142 = 21.42%.
For item b, the probability is one subtracted by the p-value of Z when X = 34.5, hence:
Z = (34.5 - 25)/4.33
Z = 2.19
Z = 2.19 has a p-value of 0.9857.
1 - 0.9857 = 0.0143 = 1.43%.
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Which of the following is the equation of the function f(x) graphed above? A. ƒ(x) = x(x − 2)²(x − 1)(x + 1) B. f(x) = (x - 2) (x − 1)(x + 1) c. f(x)= x(x - 2)²(x − 1)(x + 1) + 1)² D. f(x) = (x - 2)²(x - 1)(x - 1)^ E
3 5/12 + 1 3/8
WAT IS IT
Answer:
4 19/24
Step-by-step explanation:
3 5/12 + 1 3/8
denominators multiplied by 3 and the numerators
= 3 10/24 + 1 9/24=4 19/24
By observing that f(x) = 1/(1 - 2x) is the sum of a geometric series (of the form a/(1 - r)), find the power series expansion of this function. Observation of Series: We'll observe the value of the first term or numerator aa and the common ratio r (it is the quotient of the second term to the first term) in the denominator of the rational function a1−ra1−r, plug these values in the formula of expansion. a1−r=a+ar+ar2+ar3+…a1−r=a+ar+ar2+ar3+… Where |r||r| is less than one.
The power series of the given function is 1 + (2x) + (2x)² + (2x)³+ --------------------- + (2x)ⁿ
We know very well that sum of n terms who are in geometric progression their sum of expression is given by a/1-r where a is first term and r is common ratio between the terms.
Now, we have function f(x)=[1 / (1-2x)]
On comparing with a/1-r with f(x),we get
=>a=1 and r=2x
Now, we know that first term of geometric progression is given by =1
second term of geometric progression is given by=a × r= 1 ×2x
third term of geometric progression is given by =a×r² =1×(2x)²
fourth term of geometric progression is given by=a×r³ =1 × (2x)³
nth term of geometric progression is given by =a×(r)ⁿ = 1 × (2x)ⁿ
Therefore, according to the given formula progression series of given function is=a+ ar +ar² + ar³ + -----------arⁿ
=>progression series = 1+ 2x + (2x)² + (2x)³ + --------- + (2x)ⁿ.
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3a-27=0
How to solve
Answer:
a = 9
Step-by-step explanation:
3a - 27 = 0
3a = 27
a = 27/3
a = 9
3*9 - 27 = 0
27 - 27 = 0
Answer:
a = 9
Step-by-step explanation:
3a-27=0
Add 27 to each side
3a = 27
Divide by 3
3a/3 = 27/3
a = 9
Help me pleaseeeeee!
Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn
In algebra, what is a rectangle?A rectangle is a type οf quadrilateral that has its parallel sides equal tο each οther and all the fοur vertices are equal tο 90 degrees. Hence, it is alsο called an equiangular quadrilateral. Since, the οppοsite sides are equal and parallel, in rectangle, therefοre, it can alsο be termed as a parallelοgram.
Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn
check the attachment given belοw tο understand.
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el resultado de 20+(-60)-40-20es
Answer:
140 by the number like I know this
Step-by-step explanation:
I did the test
what is the answer
ab+ca+ax=
abcx is the answer
Step-by-step explanation:
ab+ca +ax=?
since all of them are having a, just make it
abcx
12. What is the value of the following expression when
a = -2 and b = -4?
5(4a3b)+ ab
A-108
B -92
C -12
D12
E 28
Answer:
1st one is b. 2nd one is A
Step-by-step explanation:
i did the quiz
The product of two fractions is 2/1/2 if one of the fraction is 7/1/2 find the other
Due to your severe pain, the doctor tells the nurse to give you 825 mg of pain medicine every 6 hours. You also hear the nurse say that the medication comes in 250-mg tablets. How many tablets should she give you every 6 hours? (Round to tenths, if necessary.)
Answer:
3
Step-by-step explanation:
divided 825 by 250 which give you 3.3
The diagram shows a triangle.
31° / 6x / x+16°
What is the value of x?
Step-by-step explanation:
31 + 6x + x + 16 = 180
7x + 47 = 180
7x = 180 - 47
x = 133/7
x = 19
Identify the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) h(x) = 5 squareroot xe^-x increasing decreasing
The function h(x) = 5 square root x e^-x is increasing on the interval (0, ∞) and decreasing on the interval (-∞, 0).
1. Calculate h'(x) = 5 (1/2 x^-1/2 e^-x - x^1/2 e^-x)
2. Set h'(x) = 0 to find the critical points.
3. Since h'(x) < 0 for x < 0 and h'(x) > 0 for x > 0, h(x) is decreasing for x < 0 and increasing for x > 0.
4. Therefore, h(x) is increasing on the interval (0, ∞) and decreasing on the interval (-∞, 0).
The derivative of h(x) = 5 square root xe^-x is h'(x) = 5 (1/2 x^-1/2 e^-x - x^1/2 e^-x). Setting h'(x) = 0 gives the critical points of the function. Since h'(x) is negative for x < 0 and positive for x > 0, this tells us that the function is decreasing for x < 0 and increasing for x > 0. So, h(x) is increasing on the interval (0, ∞) and decreasing on the interval (-∞, 0). We can also conclude from the graph of the function that it is concave down for x < 0 and concave up for x > 0.
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Please find the area of of the shaded polygon
Answer:
i think it might be 15... im not sure, im not good at math but im good with finding the answers to these type of problems
Step-by-step explanation:
hope this helps
a. Define a relation with four ordered pairs
such that the first element is a university
and the second element is its mascot.
Evaluate -3 to the second power +(2-6)(10)
Answer:
Its -49.
Step-by-step explanation:
just use a calculator ;)
A circular grade has a circumference of 38 yards .Lars is digging a straight line along the diameter of the garden at a rate of 3 yards.How many hours will it take to dig acceso the garden?
Answer:
It will take 4 hours to dig access to the garden.
Step-by-step explanation:
Given that a circular grade has a circumference of 38 yards, and Lars is digging a straight line along the diameter of the garden at a rate of 3 yards, to determine how many hours it will take to dig access to the garden, the following calculation, knowing that the diameter of a circle is equal to the circumference divided by π:
38 / π = X
38 / 3.14 = X
12.09 = X
12.09 / 3 = 4.03
Therefore, it will take 4 hours to dig access to the garden.
Help me answer this please
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
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