The value of X from the given equation above would be =1.526
How to calculate the missing value in the given equation?To determine the missing value in the equation above, the following steps needs to be considered as follows:
The equation ;
9x² - 21 = 0
9x² = 21
make x² the subject of formula;
x² = 21/9
= 2.33
X = √2.33
= 1.526
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Mrs Cambell gave her algebra I students a list of teinomials to factor for homework. which of these can be factored into two binomials
a) x^2+3x+2
b) x^2+4x+5
c) x^2+5x+7
D) x^2+6x+10
Answer: option a.
Step-by-step explanation:
To factor a polynomial of degree 2, with the form [tex]ax^{2}+bx+c[/tex], you must find two number whose sum is a and whose product is c. Then:
a) [tex]x^2+3x+2\\(x+1)(x+2)[/tex]
(it can be factored into two binomials)
b) [tex]x^2+4x+5[/tex] cannot be factored into two binomials.
c) [tex]x^2+5x+7[/tex] cannot be factored into two binomials.
d) [tex]x^2+6x+10[/tex] cannot be factored into two binomials.
Therefore, the answer is the option a.
write a simplified expression that expression that shows thesum of three consecutive numbers where n is the last number. substitute n=5 to test the expression. what are the three consecutive numbers? what is their sum?
➷ The last number : n
The second number : n - 1
The third number : n - 2
n + n - 1 + n - 2
Simplify this:
3n - 3
Substitute 5 into it:
n = 5
n - 1 = (5) - 1 = 4
n - 2 = (5) - 2 = 3
3(5) - 3 = 12
Their sum is 12
✽➶ Hope This Helps You!
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➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer: i dont know
Step-by-step explanation: hello im only here to complete a task, im receiving 50 points. I hope someone else can help you, cause I cant ;-;
Simplify:
(3xy^3)(2x^3y)
(Please show your work)
Answer:
6x^4y^4
Step-by-step explanation:
(3xy^3)(2x^3y)
= (3*2) x^(1+3) y^(3+1)
= 6x^4y^4
You increase the size of a page by 50% then you decrease it by 50% what is the size of the page now
Answer:
75% of the original paper’s size.
Step-by-step explanation:
Let’s say that the original size was 10 inches.
You then increase it by 50%. It is now 15 inches.
Now, you decrease it by 50%. 50% of 15 is 7.5. So, the paper is now 7.5 inches.
7.5 inches is 75% of the original paper size.
I hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
Smaller than you started with.
Determine which ordered pair is not a solution of y=-5x-4 a. (10,-52) b.(7,-39)c.(-7,31) d(8,-44)
Final answer:
The ordered pair (10, -52) is not a solution to the equation y = -5x - 4 because when x is substituted with 10, the equation yields -54, not -52.
Explanation:
To determine which ordered pair is not a solution of the equation y = -5x - 4, you need to plug the x-value from each ordered pair into the equation and see if the y-value matches the result.
For the pair (10, -52), substitute x with 10: y = -5(10) - 4 = -50 - 4 = -54, which does not match the y-value of -52.For the pair (7, -39), substitute x with 7: y = -5(7) - 4 = -35 - 4 = -39, which matches the y-value.For the pair (-7, 31), substitute x with -7: y = -5(-7) - 4 = 35 - 4 = 31, which matches the y-value.For the pair (8, -44), substitute x with 8: y = -5(8) - 4 = -40 - 4 = -44, which matches the y-value.The ordered pair that is not a solution is thus (10, -52).
What is the product? 2y/y-3 multiplied by 4y-12/2y+6
The answer is [tex]\frac{4y}{y+3}[/tex]
Step-by-step explanation:See the attached figure
Answer:
[tex] \frac { 4y } { y + 3 } [/tex]
Step-by-step explanation:
We are given the following terms and we are to find their product:
[tex] \frac { 2y } { y - 3 } \times \frac { 4y - 12 } { 2y + 6 } [/tex]
[tex] \frac { 8y^2 - 24y } { 2y^2 - 6y + 6y - 18 } [/tex]
Taking the common terms out and cancelling them to get:
[tex] \frac { 2 (4y^2 - 12y ) } { 2 (y^2 - 9 ) } [/tex]
[tex] \frac { 4y ( y - 3 ) } { ( y + 3 ) ( y - 3 ) } [/tex]
[tex] \frac { 4y } { y + 3 } [/tex]
Nadia bought 5 tickets to attend a spaghetti super fundraiser at her. school.The equation 5x equals 32.50 can be used to find x, the cost of each ticket in dollars.Which equation represents the cost of each ticket.
A: x equals 32.50/5
B: x equals 32.50(5)
C: x equals 32.50 - 5
D: x equals 32.50 + 5
Answer:
32.50 is the total cost, so you need to find the cost of each separate ticket.
First, you take the total, 32.50, and you divide it by the number of tickets, 5.
32.50/5
The answer is A.
Step-by-step explanation:
Final answer:
The correct equation that represents the cost of each ticket is A: x equals 32.50/5, which is obtained by dividing both sides of the original equation 5x = 32.50 by 5.
Explanation:
To determine the cost of each ticket that Nadia bought, we can use the given equation 5x = 32.50, where x represents the cost of each ticket. To solve for x, we need to isolate the variable on one side of the equation. This can be done by dividing both sides of the equation by 5, which leads us to x = 32.50 / 5. Therefore, the correct equation that represents the cost of each ticket is A: x equals 32.50/5.
Match the functions to their x-intercepts.
f(x) = log x – 1
f(x) = -(log x – 2)
f(x) = log(-x – 2)
f(x) = -log -(x – 1)
(0, 0)
arrowBoth
(-3, 0)
arrowBoth
(10, 0)
arrowBoth
(100, 0)
arrowBoth
Answer:
f(x) = log x – 1 ⇒ x-intercept = (10 , 0)
f(x) = -(log x – 2) ⇒ x-intercept = (100 , 0)
f(x) = log(-x – 2) ⇒ x-intercept = (-3 , 0)
f(x) = -log -(x – 1) ⇒ x-intercept = (0 , 0)
Step-by-step explanation:
* lets talk about the log
- If log a = b, that means the base of the log is 10
- To solve it we will change it to exponential function
∴ [tex]10^{b}=a[/tex]
* Now do that in each one of the problem
* ∵ f(x) = log x - 1
- To find the x-intercept put y = 0
∴ log x - 1 = 0 ⇒ add 1 to both sides
∴ log x = 1 ⇒ change it to exponential function
∴ [tex]10^{1}=x[/tex]
∴ x = 10
* The x-intercept = (10 , 0)
* ∵ f(x) = -(log x - 2)
- To find the x-intercept put y = 0
∴ -(log x - 2) = 0 ⇒ Multiply both sides by -1
∴ log x - 2 = 0 ⇒ add 2 to the both sides
∴ log x = 2 ⇒ change it to exponential function
∴ [tex]10^{2}=(x)[/tex]
∴ x = 100
* The x-intercept = (100 , 0)
* ∵ f(x) = log (-x - 2)
- To find the x-intercept put y = 0
∴ log (-x - 2) = 0 ⇒ change it to exponential function
∴ [tex]10^{0}=(-x-2)[/tex] ⇒ any number to the power of zero = 1 except 0
∴ -x - 2 = 1 ⇒ add 2 to the both sides
∴ -x = 3 ⇒ multiply both sides by -1
∴ x = -3
* The x-intercept = (-3 , 0)
* ∵ f(x) = -log -(x - 1)
- To find the x-intercept put y = 0
∴ -log -(x - 1) = 0 ⇒ multiply both sides by -1
∴ log -(x - 1) = 0 ⇒ change it to exponential function
∴ [tex]10^{0}=-(x-1)[/tex] ⇒ any number to the power of zero = 1 except 0
∴ -(x - 1) = 1 ⇒ multiply both sides by -1
∴ x - 1 = -1 ⇒ add 1 to both sides
∴ x = 0
* The x-intercept = (0 , 0)
Answer:
Please mark as Brainliest :)
Step-by-step explanation:
Which balance accrued the most interest in a month?
A)$458.90
B)$2,249.80
C)$946.95
D)$1,500.00
your answer is A 458.90.
The answer would be A)$458.90
what’s the value of
tan (3arc cos 3/4)
This trigonometric function can be written as:
[tex]tan (3 cos^{-1} (\frac{3}{4}))[/tex] (1)
Firstly, we have to solve the inner parenthesis:
[tex]cos^{-1} (\frac{3}{4})= 41.409[/tex] (2)
Substituting (2) in (1):
[tex]tan (3(41.409))=tan(124.228)[/tex] (4)
Finally we obtain the value:
[tex]tan(124.228)=-1.469[/tex]
Answer:
[tex]tan(3 \times arc \ cos(\frac{3}{4} ))=\frac{\sqrt{7} }{3}[/tex]
Step-by-step explanation:
The given expression is
[tex]tan(3 \times arc \ cos(\frac{3}{4} ))[/tex]
Where
[tex]cos^{-1}(\frac{3}{4} )=x\\[/tex], which means that, [tex]cosx=\frac{3}{4}[/tex]
If we analyse this trigonometric reason in a right triangle, we would find the hypothenuses is 4 and the adjacent leg is 3. Then, using pythagorean theorem, we find the other leg
[tex]y^{2}=4^{2} -3^{2}\\ y=\sqrt{16-9}=\sqrt{7}[/tex]
Which means the opposite leg of our right triangle is the square root of seven.
Finally, using such right triangle, we find the tangent reason, which is the quotient between the opposite leg and the adjacent leg
[tex]tan(radian \ value)=\frac{\sqrt{7} }{3}[/tex]
Therefore, the answer is [tex]\frac{\sqrt{7} }{3}[/tex]
Brahim completed 18 free throws and missed 12.
Using experimental probability, how many free throws is he predicted to complete in the next 100 tries?
A.
6
B.
36
C.
48
D.
60
Most likely I would pick B
Answer:
The answer is D. 60
Step-by-step explanation:
Step 1: 18 + 12 = 30
18 = 60% of 30, therefor with this knowledge we know that 60% of a hundred, or 60 will be the answer.
(I also have proof, as I have done this quiz before.)
I hope my answer is correct.
[Please give brainliest!]
Have a good day,
-johannelbekian
Divide: (4x10^5)/(5x10^2)
Answer:
800Step-by-step explanation:
[tex]\dfrac{4\cdot10^5}{5\cdot10^2}=\dfrac{4}{5}\cdot\dfrac{10^5}{10^2}=0.8\cdot10^{5-2}=0.8\cdot10^3=0.8\cdot1,000=800\\\\\\\text{Used}\ \dfrac{a^m}{a^n}=a^{m-n}[/tex]
Which equation represents a line that passes though (-9,-3) and has a slope of -6
Answer:
D
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 6 and (a, b) = (- 9, - 3), thus
y - (- 3) = - 6(x - (- 9)), that is
y + 3 = - 6(x + 9)
What is the approximate area of the figure
Answer:
option b
137.1 cm²
Step-by-step explanation:
The given figure consist of two shapes
1) half circle
2) rectangle
Formula to use to calculate the area of this figure
half circle + rectangle
1/2πr² + h(b)where r = radius = diameter/2 = 8/2 = 4 cm
h = height = 14 cm
b = base = 8 cm
plug in values in the formula
1/2(3.14)(4)² + (8)(14)
25. 133 + 112
137.13 cm²
Chad poured a sidewalk that is 42 feet long.He is going to start at the beginning and make a cut every 20 inches.How many cuts will Chad make?
Answer:
26 cuts
Step-by-step explanation:
1. convert 42 feet into inches by multiplying by 12 (12 inches=1 foot)
42*12 = 504 inches
2. divide the total number of inches (504) by 20 (where Chad cuts)
504/20 = 25.2
Since Chad cannot make a partial cut (.2) round up to the next whole number - 26
Which measurement is most accurate to describe the width of a math book?
8 inches
2 feet
1 yard
2 inches
its 8 inches, because 2 inches is to short, and a yard is too long for the width of a book
Answer:
8 inches
Step-by-step explanation:
2 feet is too long, 1 yard is way too long, and 2 inches is too short
The two prism below are similar what is the value of x
Answer:
C
Step-by-step explanation:
Since the figures are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{3}{15}[/tex] = [tex]\frac{1}{x}[/tex] ( cross- multiply )
3x = 15 ( divide both sides by 3 )
x = 5 → C
The age of a father is to less than seven times the age of his son in three years the sum oftheir ages will be 52 if the sons presents age is S years which equation models this situation
Answer:
The correct answer is:
(7s-2)+3+(s+3) = 52, or 8s+4 = 52.
Step-by-step explanation:
Since s is the son's age, "two less than seven times" the son's age would be represented by 7s-2. To represent this in 3 years, we would add 3: (7s-2)+3. In 3 years, the son's age, s, would be represented by s+3. We are told that the sum of these ages will be 52; this gives us (7s-2)+3+(s+3) = 52.
To simplify this, combine like terms. 7s+s = 8s; -2+3+3 = 4. This gives us 8s+4=52.
A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground, to the nearest degree.
Answer:
34°
Step-by-step explanation:
Let θ = the angle of elevation from the ground to the top of the tree. Then
tanθ = 100/150 = 0.6667
θ = arctan0.6667
θ = 34°
The sin's rays hit the ground at an angle of 34°.
Consider circle O, in which arc XY measures 16π cm. The length of a radius of the circle is 32 cm.
What is the circumference of the circle?
π units
What is the ratio of the arc length to the circumference?
What is the measure of central angle XOY?
Answer:
Circumference: 64π
Ratio: 1 : 4
Measure of ∠xoy: π/2
Step-by-step explanation:
We are given an arc length of 16π. Since it's in terms of pi, we use the formula
S = rФ where r is the radius, and Ф is the measure of the angle in radians (in terms of pi)
We are given S = 16π and r = 32, plug those in and find Ф
16π = 32Ф
16π/32 = Ф
π/2 = Ф
This is the measure of the central angle.
The angle is π/2 radians. There are 2π radians in the circumference, so the circumference is 4 times the arc length created by the central angle. (There are 4 halves in 2) so the ratio of the arc length tothe circumference is 1 : 4
The formula for circumference is C = 2πr, where r is the radius, so we hace
C = 2π(32) = 64π
The answer is
64
1/4
90
Hope this helps.
Find the solution to the system of equations given below using substitution.
A. x = -1, y = -7
B. x = 7, y = -1
C. x = 7, y = 1
D. x = -1, y = 7
Answer: OPTION D
Step-by-step explanation:
You can apply the SUBSTITUTION method:
- Solve for x from the second equation and substitute it into the first equation.
- Solve for y:
[tex]x-8y=-57\\x=-57+8y[/tex]
[tex]2(-57+8y)+3y=19\\-114+16y+3y=19\\19y=133\\y=7[/tex]
- Substitute y=7 into any of the original equations ans solve for x. Then:
[tex]x-8(7)=-57\\x-56=-57\\x=-57+56\\x=-1[/tex]
The answer is:
D.
[tex]x=-1\\y=7[/tex]
Why?Substitution method for solving system of equations consists in isolate one variable in terms of the other variable.
So, isolating x in terms of y from the second equation, we have:
[tex]x-8y=-57\\x=-57+8y[/tex]
Then, substituting x into the first equation, we have:
[tex]2(-57+8y)+3y=19\\-114+16y+3y=19\\20y=19+114\\19y=133\\y=\frac{133}{19}=7[/tex]
Now, substituting y into the second equation we have:
[tex]x-8(7)=-57\\x-56=-57\\x=-57+56=-1[/tex]
Have a nice day!
Mr Rodríguez drove 136 miles to main city .then he drove another 146 miles to rock town. How many miles did mr Rodríguez drive ?
Answer:
he drove 282 miles
Step-by-step explanation:
you add 136 and 146 to get 282
Write the phrase as an expression 28 divided by 7
Note that result of this division is 4, as 28 divided by 7 equals 4.
How is this so?The phrase "28 divided by 7" can be written as an expression using the division symbol (/) or the fraction bar (÷).
Using the division symbol -
28 / 7
Using the fraction bar -
28 ÷ 7
Both expressions represent the division operation where the number 28 is divided by the number 7.
The result of this division is 4, as 28 divided by 7 equals 4.
Learn more about division at:
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Final answer:
The phrase '28 divided by 7' is written as the expression 28/7, which simplifies to the value 4.
Explanation:
The phrase '28 divided by 7' can be written as an arithmetic expression using the division symbol. The expression is 28 ÷ 7 or using the slash notation, it is 28/7.This is the most concise and universally understood way to express the division in mathematical terms.
When you perform this division, the result is 4, since 28 is evenly divisible by 7. When using a calculator to evaluate similar expressions, such as 337/217, you would get a decimal result.
However, for the phrase provided, no calculator is needed because the division is straightforward.
What is the opposite of 0?
What is the opposite of opposite of -3?
What is the opposite of -9
Answer:
0
3
9
Step-by-step explanation:
0 has no opposite
-3 = 3
-9 = 9
The sum of 18 and twice a number use n to rep
Repesent unknown number
18+2n. For sure hope it helps
18+2n. Hope this helps!
PLEASE HELP ME!!!!!!!!!!!!!!In the triangle below, b=___. If necessary, round your answer to two decimal places.
First of all, we can find the angle B by using the fact that the interior angles of a triangle sum up to 180:
[tex]32.5+26.8+B=180 \iff B = 180-32.5-26.8=120.7
[/tex]
Now use the law of sines, which states that the ratio between a side and the sine of its opposite angle is constant. In particular, we have
[tex]\dfrac{\overwrite{BC}}{\sin(A)}=\dfrac{b}{\sin(B)}[/tex]
Plug in the known values and solve for b:
[tex]\dfrac{25}{\sin(32.5)}=\dfrac{b}{\sin(120.7)}\iff b=\dfrac{25\sin(120.7)}{\sin(32.5)}=40.01[/tex]
An investor wants to complain that the stock market continues to drop . What might they do to graph shown to try to convince an audience that this is true
But B is not correct
Answer:
C.
Step-by-step explanation:
The first two questions couldn't be correct. C. Is the only logical answer.
The stones that make up Stonehenge in England are shaped roughly like rectangular prisms. The average stone in the outer circle has a height of 13 feet and a base area of 19 1/2 square feet. Explain how to find the volume of one of the stones and then calculate the volume.
The volume of an average stone in the outer circle of Stonehenge is calculated by multiplying the base area, 19.5 square feet, by the height, 13 feet, resulting in a volume of 253.5 cubic feet.
To calculate the volume of a stone from Stonehenge, which is shaped like a rectangular prism, we need to multiply the height of the stone by the base area. The height is given as 13 feet, and the base area is 19.5 square feet. The formula for volume V of a rectangular prism is
V = base area × height.
So, the volume V of one of the average stones in the outer circle of Stonehenge would be:
V = 19.5 sq ft × 13 ft
V = 253.5 cubic feet
Therefore, the volume of the stone is 253.5 cubic feet.
pls help!! this is #9 btw
Answer:
A, cus he has other markers in the box, we dont know how many, or how many blue markeys he has so it cant be A
Step-by-step explanation:
3 3/4 * 2 1/2 can somebody help me
Answer:
9 3/8
Step-by-step explanation:
You have to turn them both into mixed numbers so:
15/4 x 5/2
Then you just multiply across:
15 x 5/4 x 2
That should equal
75/8
Simplify! You should end up with 9 3/8