Answer:
a = -3
b = -2
c = 6
Step-by-step explanation:
The quadratic formula states that for an equation of the form:
[tex]ax^{2} + bx + c = 0[/tex]
The solution to that equation is:
[tex]\frac{-b±\sqrt{b^{2}-4ac}}{2a}[/tex]
In this case we have:
0=-3x^2-2x+6
Where:
a = -3
b = -2
c = 6
Solve for x in the figure below. HELP ME PLEASE!!!!!
Answer:
x = 8
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
9x + 12 = 22 + 7x + 6
9x +12 = 7x + 28
2x = 16
x = 8
The value of x is 8 in the figure
What is interior and exterior angles?Interior angles are inside a polygon, summing to 180°. Exterior angles are outside, forming a linear pair with interior angles.
Actually, in a triangle, the sum of two interior angles is always equal to the exterior angle that is not adjacent to them. This is known as the Exterior Angle Theorem.
From the figure
<F + <G = <GHV( sum of two interior angles is equal to exterior angle)
7x +6 + 22 = 9x + 12
7x - 9x = 12- 22 -6
-2x = -16
x = -16/-2
= 8
The value of x is 8 in the figure
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look at the picture and plzzz help
the answer to the problem would be c
ANSWER
The correct choice is C.
EXPLANATION
We know that:
[tex] \sqrt[3]{7} = {7}^{ \frac{1}{3} } [/tex]
We want to simplify:
[tex]( { {7}^{ \frac{1}{3} } )}^{3} [/tex]
The exponent here is 3. This means that the base must multiply itself 3 times.
[tex] ( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{1}{3} } \times {7}^{ \frac{1}{3} } \times {7}^{ \frac{1}{3} } [/tex]
Recall that:
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
This implies that,
[tex] ( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{1}{3} + \frac{1}{3} + \frac{1}{3} } [/tex]
Simplify:
[tex] ( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{3}{3}} [/tex]
[tex]( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ 1} = 7[/tex]
The correct choice is C
What is the approximate circumference of a circle with a radius of 60 inches use pi 3.14
Answer:
377 inches
Step-by-step explanation
C=pie x d
d= 2 x r
r= 60
d=120
pie x 120 = 376.99...
or 377
Answer:
The circumference of circle is 376.8 inches
Step-by-step explanation:
Formula:-
Circumference of circle = 2πr
Where r is the radius of circle
To find the circumference of circle
Here r = 60 inches
Circumference = 2πr
= 2 * 3.14 * 60
= 376.8 inches
Therefore the correct answer is circumference of circle with radius 60 inches is 376.8 inches
Solve this system of equations :
8x+9y=48
-8.5y=-51
Answer:
x=−2.1875y+ −3/ 8
Step-by-step explanation:
Y = 6
X = -.75 or - 3/4
Solve the bottom equation first, since it only has 1 variable. -8.5y / -8.5 = -51/-8.5. Y= 6. Then plug that value for Y into the top equation and solve for X.
Find the value of n .
6/n = 24/28
y = ___.
Answer:
[tex]n=7[/tex]
Step-by-step explanation:
Cross multiply, isolate the variable, and divide by the coefficient to solve.
[tex]\frac{6}{n}=\frac{24}{28} \\ \\ 24n=168 \\ \\ n=7[/tex]
Plug back in to check.
[tex]\frac{6}{7}=0.857142857 \\ \\ \frac{24}{28} =0.857142857[/tex]
Answer:
7
Step-by-step explanation:
I did it and it was correct! Please make me brainliest!
Hope this helpd! :)
the product of 2 rational numbers is 16/19. if one number is -4/3, find the other
Answer:
24/ -38
Step-by-step explanation:
We have to do the opposite of multiplication here, which is division.
If the product is 16/19 and a factor is -4/3 then : (16/19) / (-4/3)
Lets flip the switch, meaning change the symbol and flip the fraction: (16/19) * (3/-4)
Multiply 16 * 3 = 48
19 * -4= -76
We now have the fraction 48/-76
When simplified it will be: 24/-38
Every year the population of students in a certain school district is recorded. In 2014, MVCSD had a population of 7,895 students. By 2018, the population of students had increased by approximately 28%. How many students were recorded in the MVCSD in 2018?
Answer:
[tex]\boxed{2211}[/tex]
Data:
Population in 2014 = 7895
% increase = 28 %
Calculations:
28 % = (Increase/Original number) × 100 %
28 = (Increase/7895) × 100
28/100 × 7895 = Increase Multiplied each side by 7895/100
Increase = 2211
[tex]\boxed{ 2211}[/tex] students were recorded in the MVCSD in 2018.
A basketball team has five players how many different teams can be formed from 15 people if position doesn't matter
Answer: 15•5= 75
Step-by-step explanation:
What is the slope of the line between points A(-3,4) and B(2,-7)?
Answer:
I made the problem in a photo so you could do it for the next
What is the average number of voters per precinct ?
Answer:
197
Step-by-step explanation:
Add the number of voters of each precinct and divide by the number of precincts.
(168 + 240 + 195 + 180 + 312 + 87)/6 =
= 1182/6
= 197
(168+240+195+180+312+87)/6 =197
What is P(A and B)?
Answer:
(A) 0.08
Step-by-step explanation:
P(A) = 0.8
P(B) = 0.1
P(A and B)
= 0.8 x 0.1
= 0.08
A. 0.08 If A and B are independent, then the probability that A and B are multiplied?
If someone can do these for me that would be awesome!
Ill give lots of points
Answer:
3a. horizontal shift to the left 4 units, reflection on the x-axis
3b. vertical shift down 5 units
4. 4[tex]\sqrt{3}[/tex]
5. 3x²y²[tex]\sqrt{2x}[/tex]
6. [tex]\frac{4\sqrt{35} }{5}[/tex]
7. [tex]\frac{45-5\sqrt{7} }{74}[/tex]
8. 3√2
9. -2√7 + 5√13
10. 7√2 + 2√14
11. 10 + √15 + 2√35 + √21
12. P = 18√6 + 6√15
Step-by-step explanation:
this is gonna be a bit long but bare with me
3a. y = [tex]-\sqrt{x+4}[/tex] < -- this is a horizontal shift to the left 4 units and a reflection on the x-axis. a horizontal shift is located next to the parent function (in this case f(x) = √x). a reflection on the x-axis is located outside of the parent function.
3b. y = [tex]\sqrt{x}[/tex] - 5 < --- this is a vertical shift down 5 units. a vertical shift is located outside of the parent function
4. [tex]\sqrt{48}[/tex] to solve a radicand, we can break it up into known factors, such as numbers that are a perfect square that are factors of the number. you can create a factor tree for this, or you can do it mentally by thinking of terms.
48 can be divided by divided by 16 and 3
16 is a perfect square of 4, which goes outside of the radicand
the answer to [tex]\sqrt{48}[/tex] is 4[tex]\sqrt{3}[/tex]
5. again, to solve [tex]\sqrt{18x^5y^4}[/tex], we break it down into known factors.
lets start with 18: it can be broken down into 9 and 2, 9 is a perfect square of 3
so far the radicand looks like this: 3[tex]\sqrt{2x^5y^4}[/tex]
next we will break down [tex]x^5[/tex]. looking at the exponent, we can see that we have a perfect square in the exponent, which is 4. the square root of 4 is 2. we would leave the leftover x in the radical as it is not a perfect square, and put x² on the outside as it is a result of the perfect square
3x²[tex]\sqrt{2xy^4}[/tex]
finally lets look at [tex]y^4[/tex]. we see that the exponent is a perfect square, 4. the square root of 4 is 2, so y² would go on the outside, and no y terms would be left on the inside. the final radical looks like this:
3x²y²[tex]\sqrt{2x}[/tex]
6. [tex]\frac{4\sqrt{7} }{\sqrt{5} }[/tex]
to solve this, we would need to rationalize the denominator by getting rid of the radical in the denominator. to do this we would multiply the expression by [tex]\sqrt{5}[/tex] and we would get:
[tex]\frac{4\sqrt{35} }{5}[/tex]
we cannot simplify this any further, so this would be our answer
7. [tex]\frac{5}{9 + \sqrt{7} }[/tex] like the last question, we need to get rid of the square root in the denominator by multiplying the entire expression by [tex]9 - \sqrt{7}[/tex]. we get:
[tex]\frac{5(9-\sqrt{7}) }{(9+\sqrt{7})(9-\sqrt{7}) }[/tex]
the denominator can be multiplied together to get 81 - 7 = 74, and in the numerator we get 5(9-√7) which can be distributed as 45 - 5√7. in total we get:
[tex]\frac{45-5\sqrt{7} }{74}[/tex] this cannot be simplified any further, so this is the answer
8. 3√50 - 3√32 to solve, we need to get the same radical. to do this, we can break each radical up into known terms. √50 can be simplified as 25 and 2. 25 is a perfect square, and is equal to 5. √50 = 5√2
3(5√2) = 15√2
we can break up √32 as 16 and 2. 16 is a perfect square which is equal to 4. √32 = 4√2
-3(4√2) = -12√2
the expression looks like this: 15√2 - 12√2 < subtract normally and we get 3√2 <-- this is our final answer, and we cannot simplify further
9. 2√7 - 4√13 -4√7 + 9√13 < we can combine like terms by adding/subtracting
2√7 -4√7 = -2√7
-4√13 + 9√13 = 5√13
-2√7 + 5√13 this cannot be simplified further, so this is the answer
10. √7(√14 + 2√2) < distribute √7 into the expression
√7 × √14 = √98 = 7√2
√7 × 2√2 = 2√14
the answer is 7√2 + 2√14
11. (√5 + √7)(√20 + √3) < to solve, we can FOIL this out
(√5 + √7)(√20 + √3) = 10
(√5 + √7)(√20 + √3) = √15
(√5 + √7)(√20 + √3) = 2√35
(√5 + √7)(√20 + √3) = √21
we get the following expression: 10 + √15 + 2√35 + √21, we cannot simplify this further so this is our answer
12. the perimeter of a rectangle is P = 2l + 2w. we are given the width 3√6 + 4√15 and the length 6√6 - √15. plugged into the formula we have:
2(3√6 + 4√15) + 2(6√6 - √15) < distribute 2 into each expression:
(6√6 + 8√15) + (12√6 - 2√15) < combine like terms, as in combine terms with like radicals
6√6 + 12√6 = 18√6
8√15 - 2√15 = 6√15
P = 18√6 + 6√15
we cannot simplify this further, so this is the answer
hope this helped!
what is 9!
the exclamation point is supposed to be there
Answer:
362880
Step-by-step explanation:
9! is read as 9 factorial.
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
9! = 362880
Answer:
362,880
9! is also know as 9x all the numbers lower then it, so it would be 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1.
If you multiply all of those digits together, your result would be 362,880.
find the component form of -u - v given that u=(-3,5) and v =(6,-3)
ANSWER
B.
[tex] < \: - 3, -2 \: > [/tex]
EXPLANATION
The given vectors are:
[tex]u = < \: - 3,5 \: > [/tex]
and
[tex]v= < \: 6, - 3\: > [/tex]
[tex] - u - v = - 1< \: - 3,5 \: > -1 < \: 6, - 3\: > [/tex]
Use the scalar to multiply and obtain;
[tex] - u - v = < \: 3, - 5 \: > + < \: - 6, 3\: > [/tex]
Simplify to get:
[tex]- u - v = < \: 3 - 6, - 5 + 3 \: > [/tex]
[tex]- u - v = < \: - 3, -2 \: > [/tex]
To find the component form of -u - v, subtract the x-components and y-components separately. The x-component is 3, and the y-component is -2.
Explanation:The component form of -u - v can be found by subtracting the x-components and the y-components of u and v separately. Given that u=(-3,5) and v =(6,-3), the x-component of -u - v is -(-3) - 6 = -3 + 6 = 3, and the y-component is -(5) - (-3) = -5 + 3 = -2.
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Which scenario can be represented using the inequalities below?
1.25 < x < 1.5
A container of milk costs at least $1.25 but less than $1.50.
A student spends at least 1 hour 15 minutes, but no more than 1 hour 30 minutes on homework.
A tip added to a restaurant bill is less than or equal to 25% or less than or equal to 50%.
The point value of a test item is more than 1.25 points and less than 1.5 points.
Answer:
I would go with a container of milk costs at least $1.25 but less than $1.50.
Answer: Fourth option is correct.
Step-by-step explanation:
Since we have given that
[tex]1.25<x<1.5[/tex]
The point value of a test item is strictly more than 1.25 points and strictly less than 1.5 points.
According to options:
It can be represented as :
The point value of a test item is more than 1.25 points and less than 1.5 points.
All other options except the above is not satisfying the above inequality.
Hence, Fourth option is correct.
Explain why the triangles are similar, then find the value of x.
Answer:
ANSWER: D AA, x = 5 1/3
Calculation:
x/8 = 10/15
x = (10/15)(8)
x = 5 1/3
Step-by-step explanation:
Answer: AA postulate
Step-by-step explanation:
look at the picture and plzz give me the correct answer
Answer: C
Step-by-step explanation:
The initial amount of trees planted is 1,500, so answers B and D are out. The number that is raised to years (t) is 1.02, and since 1.02 is greater than 1, the number of trees planter per year is growing, and the .02 means that it is growing at 2% because 0.02 * 100 = 2%
Answer:
Step-by-step explanation:
C is correct. The initial number (of trees) was 1500, and that 2% translates into 1.02 inside the parentheses.
What is Brenda z-score
The z-score formula is:
x - mean / standard deviation
x = her height.
Z-score = (50 - 49) / 2
z-score = 1/2 = 0.5
Only number 8 plsssss bet no one can get this
Answer:
52 sq un
Step-by-step explanation:
a polynomial function is shown below: f(x) = x3 - x2 - 9x + 9 which graph best represents the function ?
Answer:
The answer is C
Step-by-step explanation:
the person that made the graph is correct so it would be C
Please help i don't have alot time
Answer:
[tex]g\left(x\right)=-\sqrt{x+3}+8[/tex]
Step-by-step explanation:
Given function is [tex]f\left(x\right)=-2\sqrt{x-3}+8[/tex].
Now let's find it's range.
we know that square root function always gives positive output then:
[tex]\sqrt{x-3}\ge0[/tex]
[tex]-2\sqrt{x-3}\le-2\left(0\right)[/tex]
[tex]-2\sqrt{x-3}\le0[/tex]
[tex]-2\sqrt{x-3}+8\le0+8[/tex]
[tex]-2\sqrt{x-3}+8\le 8[/tex]
[tex]f(x) \le 8[/tex]
Hence range of the function is [tex](-\infty,8][/tex].
we can repeat same process to find the range of all the given choices.
we will find that only 3rd choice has same range.
Hence final answer is [tex]g\left(x\right)=-\sqrt{x+3}+8[/tex]
What is the recursive formula for this sequence 12,16,20,24,28
I think it’s 12 table I believe
ANSWER
The recursive formula is
[tex]a_n = a_ {n - 1}+ 4[/tex]
EXPLANATION
The given sequence is 12,16,20,24,28
The first term of this sequence is
[tex]a_1=12[/tex]
The common difference is
d=16-12
d=4
The recursive formula is given by
[tex]a_n = a_ {n - 1}+ d[/tex]
So we need to substitute the known values to get
[tex]a_n = a_ {n - 1}+ 4[/tex]
Which of the following is a statistical question?
What color are Mr. Bryant's eyes?
How many pencils are in each person's desk?
How many days are in June? Do you like bananas?
Answer:
How many pencils are in each person's desk?
540=a/11 solve step by step
540 = a/11
5940 = x
Answer: x = 5940
Answer: [tex]a=5,940[/tex]
Step-by-step explanation:
Given the equation [tex]540=\frac{a}{11}[/tex], you need to find the value of "a", then, you need to solve for "a".
You need to apply the Multiplication property of equality, which establishes that:
[tex]If\ a=b,\ then\ a*c=b*c[/tex]
Therefore, based on this property, you can multiply both sides of the equation by 11.
Then, you get the following solution:
[tex](11)(540)=(\frac{a}{11})(11)\\\\a=5,940[/tex]
ASAP, The following parallelogram is reflected over the x-axis and then reflected over the y-axis. What are the coordinates of the vertices of the image?
(2, 1), (1, -1), (-2, -1), (-1, 1)
(1, 2), (-1, 1), (-1, -2), (1, -1)
(1,1), (2, -1), (-2, 1), (-1, -1)
(1, 1), (-1, 2), (1, -2), (-1, -1)
Answer:
(1,1), (2,-1), (-2,1), (-1,-1)
Step-by-step explanation:
Red Line: over x-axisBlue Line: over y-axisWhich statement is true about the function f(x) = 7
Answer:
the function is EVEN because f(x)= f(-x)
Step-by-step explanation:
Key to find if a function f(x) is even or odd is to replace the x with -x
if the results comes out to be f(x) then it is even function
if the results comes out to be -f(x) then it is odd function
where as graphically even f(x) will be symmetric around the y-axis and odd f(x) will be symmetric around the origin.
In given case f(x)=7
if we replace x with -x in above equation then results is 7
f(-x)= 7
hence f(x)= f(-x) = 7
!
It is well known that Becky won an award for her 88 popular songs. what is Less well known, however, is that she wrote a total of 410 songs in her career. How many songs did Becky write that were not popular
Answer:
322 Unpopular songs
Step-by-step explanation:
If Becky has 88 total popular songs, and she wrote a total of 410 songs, it is simply subtracting her popular songs from her total songs.
410 - 88 = 322
Triangle ABC was dilated using the rule Do.4. Triangle
A'B'C' is the result of the dilation
what is OB'?
1.5 units
3 units
4.5 units
6 units
Answer:
The correct option is B. The length of OB' is 3 units.
Step-by-step explanation:
The rule of dilation is D₀,₄. It means dilation by scale factor 4 with center of dilation is origin.
[tex]\text{Scale factor}=\frac{\text{Distance between center and any point of the image}}{\text{Distance between center and corresponding point of the Preimage}}[/tex]
[tex]\text{Scale factor}=\frac{OB'}{OB}[/tex]
[tex]4=\frac{OB'}{\frac{3}{4}}[/tex]
[tex]4\times \frac{3}{4}=OB'[/tex]
[tex]3=OB'[/tex]
The length of OB' is 3 units. Therefore the correct option is option is B.
Answer:
B on edge
Step-by-step explanation:
NEED HELP ASAP!! Find the indicated side of the trinagle
Answer:
b = 8sqrt(3)
Step-by-step explanation:
The triangle has a 30-deg angle and a right angle, so the third angle measures 60 degrees making this a 30-60-90 degree right triangle.
You don't mention which method to use to solve the problem.
You can use trigonometry ratios or the ratios of the lenghts of the sides of a 30-60-90 triangle
I'll use the second method.
In a 30-60-90 triangle, the lengths of the sides are in the ratio:
1 : sqrt(3) : 2
The long leg measures 12 and corresponds to sqrt(3) in the ratio, so we can find the length of the short leg by dividing 12 by sqrt(3).
12/sqrt(3) = [4 * sqrt(3) * sqrt(3)]/sqrt(3) = 4sqrt(3)
The hypotenuse is twice the length of the short leg.
b = 2 * 4sqrt(3) = 8sqrt(3)
The value of b is 8√3 because cos is the ratio of side adjacent to the angle to side opposite to the angle.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right angle triangle shown in the picture.
From the cos ratio:
cos30 = 12/b
b = 12/cos30
b = 12/(√3/2)
After factorization:
b = (24√3)/3
b = 8√3
Thus, the value of b is 8√3 because cos is the ratio of side adjacent to the angle to side opposite to the angle.
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Given that C=3 and d=2, What is the value of x if x=2C+d
Answer
2(3)=6 + 2 = 8
The value of x will be;
⇒ x = 8
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
C = 3 and d = 2,
And, The equation is,
⇒ x = 2C + d
Here,
The values are,
⇒ C = 3 and d = 2,
Substitute above value in equation , we get;
⇒ x = 2C + d
⇒ x = 2 × 3 + 2
⇒ x = 6 + 2
⇒ x = 8
Thus, The value of x = 8.
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