Answer:
Below in bold.
Step-by-step explanation:
9x^2 - 16
Comparing this with the standard form
ax^2 + bx + c
ac = 9*-16 = -144
b = 0
-12 and 12 multiply to get ac and add to get b.
Factored form is
(3x - 4)(3x + 4).
The value of ac is,
⇒ - 144
The value of b is,
⇒ b = 0
And, The factored form is,
⇒ (3x - 4) (3x + 4)
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The quadratic equation is,
⇒ 9x² - 16
Now, We know that;
General form of quadratic equation is,
⇒ ax² + bx + c
Here, The quadratic equation is,
⇒ 9x² - 16
Hence, By comparing,
⇒ a = 9
⇒ b = 0
⇒ c = - 16
Thus, The value of ac is,
⇒ ac = 9 × - 16
= - 144
And, The factored form is,
⇒ 9x² - 16
⇒ (3x)² - 4²
⇒ (3x - 4) (3x + 4)
Thus, The value of ac is,
⇒ - 144
The value of b is,
⇒ b = 0
And, The factored form is,
⇒ (3x - 4) (3x + 4)
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A circle with center (-1, 2) and radius of 8 has the equation
Answer:
c)
Step-by-step explanation:
The equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64. Then the correct option is D.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x – h)² + (y – k)² = r²
A circle with center (-1, 2) and radius of 8.
Then the equation of the circle will be
(x – h)² + (y – k)² = r²
(x + 1)² + (y – 2)² = 8²
(x + 1)² + (y – 2)² = 64
Thus, the equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64.
Then the correct option is D.
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(Number 8)!!!!!!!!!!!!!!!!
Answer:
B=29
Step-by-step explanation:
you have on the right hand side [tex](7x^{3} y^{3/4}) ^{2}[/tex] which is equal to [tex]49x^{6}yx^{3/2}[/tex] so B=49
What is the result of subtracting the second equation from the first?
-2x+y=0
7x+3y=2
Answer:
5x -2y = -2
Step-by-step explanation:
-2x+y=0
-7x+3y=2
Subtract the second equation from the first
-2x+y=0
7x-3y=-2
------------------
5x -2y = -2
The radius of a circle is 7.1 cm. Find the circumference to the nearest tenth.
Answer:44.61?
Step-by-step explanation:
Given ƒ(x) = 9x + 54, find x when ƒ(x) = 18. A) −6 B) −4 C) 3 D) 8
Answer:
-4 =x
Step-by-step explanation:
ƒ(x) = 9x + 54
Let f(x) = 18
18 = 9x+54
Subtract 54 from each side
18-54 = 9x + 54-54
-36 = 9x
Divide each side by 9
-36/9 = 9x/9
-4 =x
Answer: B
Step-by-step explanation:
Well, they told you what f(x) equals. So make the function of f(x) equal to the value they gave, 18
[tex]18=9x+54[/tex]
Subtract 54 from both sides to get:
[tex]-36=9x[/tex]
Divide both sides by 9 to get x = -4
What is the area of the rhombus shown below?
Answer:
A. 97.5 square units
Step-by-step explanation:
==>Given:
Rhombus ABCD with the following dimensions:
diagonal 1 (d1) = BD = 15
diagonal 2 (d2) = AC = 13
AB = 9.9
==>Required:
Area of the rhombus
==>Solution:
Since we know the length of the 2 diagonals, area of the rhombus can be calculated using A = ½ × d1 × d2
Area = ½ × 15 × 13
A = ½ × 195
A = 97.5 square units
Answer:
A
Step-by-step explanation:
How do you solve [tex]x^2 + 7x + 2 = 0[/tex]?
Answer:
-7 ± √6
x = ----------------
2
Step-by-step explanation:
You have several options here. One would be "completing the square," and another would be "quadratic formula."
Here the coefficients of this quadratic are a = 1, b = 7 and c = 2.
The discriminant is therefore b^2 - 4(a)(c), or 7^2 - 4(1)(2) = 6.
The roots are thus:
-7 ± √6
x = ----------------
2
Please please please help me I need to get this right so please don’t do that if you don’t know geometry
Answer:
Step-by-step explanation:
All the sides are marked with congruency slashed, and they all line up when you orient the triangles the same way, so the statement is SSS.
The equation a=180(n-2)/n represent the angle measures,a in a regular n-sided polygon. When the equation is Solved for n,n is equal to a fraction with a denominator of a-180. What is the numerator of the fraction.
Answer:
The
numerator is 360
Step-by-step explanation:
What we need to do here is make n the subject of the formula;
a = 180(n-2)/n
an = 180n-360
180n - an = 360
n(180-a) = 360
n = 360/(180-a)
work out the area of a circle with diameter 1.8cm take pie to be 3.142 and give your answer to 1 decimal place.
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
f⁻¹(f(6.022)) = 6.022
f⁻¹(-10) + f(-6) = -6 + -10 = -16
Step-by-step explanation:
f⁻¹(f(x)) = x
so f⁻¹(f(6.022)) = 6.022
inverse function flips y and x coordinates so look at table where f(x)=-10 and read x so f⁻¹(-10) = -6
f⁻¹(-10) + f(-6) = -6 + -10 = -16
Q4: Katie and Tyler are working at their lemonade stand. An hour ago, their pitcher of lemonade was 78 full. Since then, they have sold 12 of a pitcher of lemonade. What fraction of a pitcher do they have left?
Answer:
3/8 of the pitcher of lemonade remains.
Step-by-step explanation:
They tell us that at first they had 7/8 of a pitcher full of lemonade, and they ask us to know what fraction is left if they have taken 1/2 of the pitcher of lemonade for a while, which means that it would be a subtraction between what had at the beginning and what they have taken, would be:
7/8 - 1/2 = (14 - 8) / 8 * 2 = 6/16 = 3/8
Which means that 3/8 of the pitcher of lemonade remains.
An investment group compares returns on an account
against the function represented in the table, where x is the
time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the
table?
х
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
an increasing exponential function
0
5
f(x)
10,000
12,201.90
14,888.64
22,167.15
10
20
Answer:
d
Step-by-step explanation:
edge2020
Option D is correct. The exponential function is increasing when time goes and the total return on investment.
What is exponential function?An exponential function is of the form aˣ where 'a' is the base of the function and 'x' is the power of the function.
What is quadratic function?A quadratic function is" a polynomial function with one or more variables in which highest exponent of variable is 2".
According to the question,
Let 'x' is the time in years and f(x) is the total return on investment. The below table shows the function over the interval.
x f(x)
a decreasing quadratic function 10,000
an increasing quadratic function 12,201.90
a decreasing exponential function 14,888.64
an increasing exponential function 22,167.15
Quadratic function f(x) = ax² +b x +c a > 0
A decreasing quadratic function is the vertex of the parabola lies on the axis parabola. The graph of the function is increasing at one side of the axis and decreases at other side of the axis. Clearly it shows as time in years change does not give maximum total return on investment.An increasing quadratic function the vertex of the parabola lies on the axis parabola. The graph of the function is increasing at one side of the axis and decreases at other side of the axis. Clearly it shows change in time in years does not give maximum total return on investment.Exponential function f(x) = a. bˣ +q
The exponential function is decreasing when a < 0 and 0 ≤ b < 1. Then the function f(x) is decreasing exponential function. Clearly it shows time goes, total return on investment is not maximum. The exponential function is increasing when a > 0 and b > 1. Then the function f(x) is increasing exponential function. Clearly it shows time goes, total return on investment is maximum.Hence, the exponential function is increasing when time goes and the total return on investment.
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HELP PLEASE WITH THE IMAGE BELOW it would mean a lot if someone helped me answer this question and maybe even explain how you got it.
Answer:
65/97 = 0.67
Step-by-step explanation:
using trigonometric ratios
Cosine of angle = [tex]\frac{adj}{hyp}[/tex]
please help me, I just needa pass this lesson!!!
Answer:
Plot the points (0,2) and (3,3)
Step-by-step explanation:
(0,2) is the y-intercept and the slope is always rise over run so go up 1 unit and right 3 units, that gets you to (3,3)
you could also plot any point other than (3,3) that is on the same line
*WILL MARK YOU BRAINLIEST!!!!!*
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{3x} }{\sqrt{x-8} } =3[/tex]
[tex]\sqrt{3x}=3\sqrt{x-8}[/tex]
[tex]\left(\sqrt{3x}\right)^2=\left(3\sqrt{x-8}\right)^2[/tex]
[tex]3x=9x-72[/tex]
[tex]3x-9x=-72[/tex]
[tex]-6x=-72[/tex]
[tex]x=12[/tex]
Answer:
[tex] \frac{ \sqrt{3x} }{ \sqrt{x - 8} } = 3[/tex]
[tex] \sqrt{3x} = 3 \sqrt{x - 8} [/tex]
[tex]3x = (3 \sqrt{x - 8} )^{2} [/tex]
[tex]3x = 9(x - 8)[/tex]
[tex]3x = 9x - 72[/tex]
3x - 9x = -72
-6x = -72
x = 12
Can someone please explain what I did wrong here? Thank you!
Answer:
you didn't do anything wrong who ever said you did is stupid
The answer is attached.
this question is my thing
Answer:
Below
Step-by-step explanation:
8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/1
Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. If Joanna increases the recipe to use 5 of sugar, how many teaspoon of salt will she need?
Answer: B. 3 3/4
Step-by-step explanation:
From the question, we are told that Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. Since, uses 1 1/2 teaspoon of salt for every 2 cups of sugar, 1 cup of sugar will use 1/2 of 1 1/2 teaspoon of salt. This will be:
= 1/2 × 1 1/2
= 1/2 × 3/2
= 3/4 teaspoon of salt.
We then multiply the value used for a cup of sugar by 5 since Joanna increases the recipe to use 5 cups of sugar. This will be:
= 3/4 × 5
= 15/4
= 3 3/4
5 Write the first five terms of the sequence with nth term.
a 4n
b 2n+1
c 3n -2
d 1/2n +1
e 20 -5n
f -2n +3
Answer:
its a lot u'll see at the end
Step-by-step explanation:
a) 4n = 4,8,12,16,20
b) 2n+1= 3,5,7,9,11
c) 3n-2= 1,4,7,10,13
d) 1÷2n+1= [tex]\frac{3}{2}[/tex], [tex]\frac{5}{4} ,\frac{7}{6} ,\frac{9}{8} ,\frac{11}{10} ,[/tex]
e) 20-5n= 15,10,5,0,-5
f) -2n+3= 1,-1,-3,-5,-7
took me a while hope it is helpful
H(a)= 3a - 4; Find h(8)
Answer:
20
Step-by-step explanation:
You plug 8 into the equation where a is. 8 x 3 = 24 - 4 = 20.
The 6 in 61 represents how many times the value of the 6 in 69?
Which of the following best describes the graph shown below?
Answer:
B. This is a graph of a one to one function
Answer:B
Step-by-step explanation:
Make a magic square using only first nine odd numbers: 1, 3, 5, 7, 9, 11, 13, 15, 17. (In a magic square, the numbers in each row, in each column, and along each diagonal have the same sum.)
Answer: [tex]\left[\begin{array}{ccc}11&13&3\\1&9&17\\15&5&7\end{array}\right][/tex]
Step-by-step explanation:
A magic cube is something like:
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
Where the numbers that we must use are:
1, 3, 5, 7, 9, 11, 13, 15, 17
If we take the addition of those 9 numbers, we get 81.
Now, we divide it by 3 (the number of numbers in each row or column) and get:
81/3 = 27
so the sum in each row, column and diagonal must be 27.
1 + 9 + 17 = 27
13 + 11 + 3 = 27
5 + 7 + 15 = 27
9 + 13 + 5 = 27
You can keep playing with this, and then start forming our number cube, some of the hints tat we can use is that the median of the group is 9, so it must be in the middle of the cuve, and the extremes, 1 and 17, must be in the same column or row as 9.
so we start with:
[tex]\left[\begin{array}{ccc}x&x&x\\1&9&17\\x&x&x\end{array}\right][/tex]
and start to fill the empty spaces, now we can use that
1 + 11 + 15 = 27 and get:
[tex]\left[\begin{array}{ccc}11&x&x\\1&9&17\\15&x&x\end{array}\right][/tex]
now for the diagonals:
11 + 9 + 7 = 27
15 + 9 + 3 = 27
[tex]\left[\begin{array}{ccc}11&x&3\\1&9&17\\15&x&7\end{array}\right][/tex]
and for the last one:
11 + 3 + 13 = 27
15 + 7 + 5 = 27
[tex]\left[\begin{array}{ccc}11&13&3\\1&9&17\\15&5&7\end{array}\right][/tex]
Use cross products to identify the equation needed to solve this proportion: 5/x = 2/9
Answer:
x=22.5
Step-by-step explanation:
We are given the proportion:
5/x=2/9
Cross multiply. Multiply the numerator (top number) of the first fraction by the denominator (bottom number) of the second. Then multiply the denominator of the first by the numerator of the second.
5*9=2*x
45=2x
2 and x are being multiplied. The opposite of multiplication is division. Divide both sides by 2. This will cancel out the 2 being multiplied by x, and leave x by itself.
45/2=2x/2
45/2=x
22.5=x
If we substitute 22.5 in for x, the final proportion will be:
5/22.5=2/9
Answer: 22.5 = x
Step-by-step explanation: First, write the problem, 5/x = 2/9. Next, cross multiply. Write the equation, 5 x 9 = 2x. After, write the equation in a multiplying fraction sentence. 45/2 = 2x/2. Lastly, solve for x by dividing 45 by 2. You should end up with a result of 22.5 = x.
*I will give you brainliest* Just give me the answer no explanation is needed , thank you :).
Answer: True
Step-by-step explanation:
The temeprature is solely reliant on time, meaning its a function of time
(7x + 30) and 11x
I'm not sure what and is...is it adding or an equal sign?
for equal sign
(7x+30)=11x
30=11x-7x
30=4x
30/4=x
7.5=x
for plus sign
evalute
(7x+30)+11x
7x+11x+30
18x+30
factorize
(7x+30)+11x
18x+30
6(3x+5)
hope it help yuh..
Antone is taking four of his friends to see the latest movie. Each ticket is $5.50, and he is paying for all five tickets. How much money does Antone need to bring to pay for all of the tickets? A. $22.00 B. $27.50 C. $88.00 D. $110.00
Answer: $27.50
Step-by-step explanation:
For all 5 tickets, Antone will pay
5 * 5.50 = 27.50
Answer:
B
Step-by-step explanation:
Dante and Mia have a total of 350 pennies in their piggy banks, altogether. After Dante lost half of his pennies and Mia lost one third of her pennies, they both had an equal amount of pennies left. How many pennies did they lose altogether?
Answer:
150 pennies were lost altogether
Step-by-step explanation:
Let the initial number of pennies owned by Dante be x pennies
Let the initial number of pennies owned by Mia be y pennies
Mathematically ;
x + y = 350 •••••••(i)
So after losing half, dante will have x/2 pennies left.
Mia lost 1/3 so she will have 2/3y left
So after all the losses, they both had equal amount of pennies
This means that;
x/2 = 2y/3
Cross multiply;
3x = 4y •••••••(ii)
Let’s solve both equations simultaneously;
From i , x = 350-y
Substitute this into equation ii
3(350-y) = 4y
1050-3y = 4y
7y = 1050
y = 1050/7
y = 150
since x = 350-y
x = 350-150 = 200
Now Dante loss x/2 = 200/2 = 100
Mia lost 1/3y = 1/3 * 150 = 50
Total pennies lost = 100 + 50 = 150
Can someone help me please
Answer:
The answer to number one is 11√17
The answer to number two is 4
Step-by-step explanation:
In number one: once you get both radicands to be equal, then you can add them. Like of it like 3x+2x. The x’s are like terms, so you can add them together.
In number two: the √5 on the top and bottom cancel out. This leaves 12/3 which is equal to 4.
