well, we know is a quadratic, namely of degree 2, so it has two solutions and namely two factors, and whose only zero is 7, well, we can do that by giving that only zero a multiplicity of 2, so we get two of the same zero.
[tex]\begin{cases} x=7\implies &x-7=0\\ x=7\implies &x-7=0 \end{cases}\qquad \implies \qquad \begin{array}{llll} \stackrel{\textit{multiplicity of 2}}{(x-7)(x-7)}=\stackrel{0}{y} \\\\\\ x^2-14x+49=y \end{array}[/tex]
The quadratic function would be x² + 14x + 49 f whose only zero is 7.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
The standard quadratic function is given by ax² + b x + c = 0.
We know that is a quadratic of degree 2, so it has two solutions and two components, and its only zero is 7,
⇒ x = 7 and x = 7
⇒ x - 7 and x - 7
Thus, we can accomplish that by multiplying that singular zero by two, so we obtain two of the same zero.
⇒ (x - 7)(x - 7)
⇒ (x - 7)²
⇒ x² + 7²+ 2 × 7 × x
⇒ x² + 49 + 14x
⇒ x² + 14x + 49
Therefore, the quadratic function would be x² + 14x + 49.
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you had $22 to spend on three pretzels. After buying them you had $15.70.How much did each pretzel cost?
Answer:
Each pretzel had cost $6.30
Step-by-step explanation:
You would have to subtract 22.00 - 15.70 and that would be your answer ($6.30)
Answer:
Each pretzel cost $2.10
Step-by-step explanation:
First,
Take your original amount and subtract it by your remanding amount:
22 - 15.70 = 6.30
Then, divide by three, since we bought three pretzels:
6.30 / 3 = 2.10 or 6.30 ÷ 3 = 2.10
So, each pretzel cost $2.10
common fruction
2/3
[tex]2 \div3 + 4 \div 3[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{2}{3} + \frac{4}{3} = \frac{6}{3} = 2 \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer these i have all the answers already just testing Tyyyyy <3
BRAINLIEST GIVEN
Answer:
1. B
2. A
3. C
4. A
I hope this helps!
Please help! Math problem.
2x+4=0: Solve for x
Answer:
x = -2
Step-by-step explanation:
2x + 4 = 0
2x= -4
x=-2
Equation: [tex]2x+4=0[/tex]
Subtract 4 from both sides:
[tex]2x+4-4=0-4\\2x=-4[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{-4}{2}[/tex]
Simplify:
[tex]\frac{-4}{2}=-2\\x=-2[/tex]
Therefore, your answer would be x = -2.
-TestedHyperr
help me asap for 100 points
Which net represents this solid figure?
Answer:
its the one on the bottom left.
it has the proper demision just look at the sides and they match up
Hope This Helps!!!
Answer: The net which can represent the solid figure given in image 1 is the net in image 4.
Step-by-step explanation:
Aiko is selling books for $12 each. She wants to make more than $180 in book sales. The inequality 12b > 180 can be used to determine the number of books, b, she must sell in order to meet her goal. Which number line best represents the solution to the inequality?
Answer:
The answer is B
Step-by-step explanation:
Helppp! you could get brainly for correct answer
You have six pizza toppings. How many different 3-topping pizzas can you make?
20
24
120
30
20 different pizzas
==========================================================
Explanation:
Consider 3 slots to fill. I'll label them slot A, B, C.
There are 6 choices for slot A, then 5 choices for B, and 4 for C. We count down by one each time since we cannot reuse a topping.
There would be 6*5*4 = 30*4 = 120 permutations if order mattered.
However, order doesn't matter with pizza toppings. So we must divide by 3*2*1 = 6 (this is the number of ways to arrange any group of 3 things)
We get 120/6 = 20 as the final answer
---------------------
Alternatively, you can use the nCr combination formula following these steps.
n C r = (n!)/(r!(n-r)!)
6 C 3 = (6!)/(3!*(6-3)!)
6 C 3 = (6!)/(3!*3!)
6 C 3 = (6*5*4*3!)/(3!*3!)
6 C 3 = (6*5*4)/(3!)
6 C 3 = (6*5*4)/(3*2*1)
6 C 3 = (120)/(6)
6 C 3 = 20 different pizzas possible
As the third to the last line shows, we have 6*5*4 up top and 3*2*1 down below. This matches exactly what was discussed in the previous section.
---------------------
Yet another alternative is to use Pascal's Triangle (see below) and we locate the row that has 1,6,... at the start. We circle the fourth item of this row that corresponds to 6C3 = 20
A slope of -5 that passes through (2,15)
Answer:
y=-5x+25
That is the answe in slope intercept form
on the number line, point b is between points a and c. the distance between points a and b is 1/3 of ac.
Step-by-step explanation:
find distance of AC first
ac= √(y2-y1)²+(x2-x1)²
since there is no y we will consider it zero
so Ac= √(16-(-8))²
ac=24
ab is 1/3 of ac so it means
24*1/3=8
so ab is 8 units
The location of point B on the number line is 0.
Given that,
on the number line, point b is between points a and c. the distance between points a and b is 1/3 of ac.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
AB = 1/3 AC
AB = 1/3 (16 - (-8))
AB = 1/3 (16 + 8)
AB = 1/3 * 24
AB = 24 / 3
AB = 8
B - A = 8
B - (-8) = 8
B + 8 = 8
B = 8 - 8
B = 0
Thus, location of the point B on the number line is at 0.
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what combined length of all buttons longer than 1 inch
Answer:
Combined means to add so you are going to add anything over 1 because it says longer than 1
1 1/4 has 2 marks so you add 1 1/4 + 1 1/4 =
they have like denominators so you can add them together
1 + 1 = 2 and 1/4 + 1/4 = 2/4 which can be reduced to 1/2
so your answer is 2 1/2
Step-by-step explanation:
Is it Possible for the expression 1+|a| to have a result that is less than 0?
Answer:
No
Step-by-step explanation:
Since a is in absolute value symbols, you would be adding a positive number to 1, and therefore cannot have a number lower than 0.
For example, say a = -3. We would get 1 + |-3| = 4.
Answer:
No
Step-by-step explanation:
Because the vertical lines mean the absolute value of a.
- a negative value of a like -2 in vertical lines has absolute value 2.
If a = 0 then absolute value = 0.
So 1+|a| will always be positive.
Need help asap giving 15 points
Answer:
197 in^2
Step-by-step explanation:
See attached image
To swing. Here, ttt is entered in radians. P(t) = -5\cos\left(2\pi t\right) + 5P(t)=−5cos(2πt)+5P, left parenthesis, t, right parenthesis, equals, minus, 5, cosine, left parenthesis, 2, pi, t, right parenthesis, plus, 5 What is the first time the pendulum reaches 3.5\text{ cm}3.5 cm3, point, 5, start text, space, c, m, end text from the place it was released? Round your final answer to the nearest hundredth of a second
Answer:
0.20 seconds
Step-by-step explanation:
Given the function:
For the distance traveled by a pendulum in time [tex]t[/tex]:
[tex]P(t)=-5cos(2\pi t)+5[/tex]
Where [tex]t[/tex] is in radians.
Also, given that [tex]P(t)=3.5\ cm[/tex]
To find:
The time [tex]t[/tex] = ? to the nearest hundredth.
Solution:
Putting the values as per given statements, it can be observed that:
[tex]3.5=-5cos(2\pi t)+5\\\Rightarrow -1.5=-5cos(2\pi t)\\\Rightarrow 0.3=cos(2\pi t)[/tex]
Taking the inverse:
[tex]cos^{-1}(0.3) = 2\pi t[/tex]
[tex]\Rightarrow 2\pi t=72.54^\circ[/tex]
We know that [tex]2\pi\ radians = 360^\circ[/tex]
Putting the value above:
[tex]\Rightarrow 360t=72.54^\circ\\\Rightarrow t = \dfrac{72.54}{360}\\\Rightarrow t =\bold{0.20}\ seconds[/tex]
So, after 0.20 seconds, the pendulum reaches 3.5 cm from the place it was released.
Which expression is equal to the expression below?
(2• 6) 4
O A. 84
B. 24.64
O c. 4. (2.6)
OD. 2. (6)
Answer:
48
Step-by-step explanation:
(2*6)4
(12)4
48
Hoped it helped :)
The correct expression is equal to the given expression is,
⇒ 2⁴ × 6⁴
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Expression is,
⇒ (2 × 6)⁴
Now, We can simplify as;
⇒ (2 × 6)⁴
⇒ 2⁴ × 6⁴
Thus, The correct expression is equal to the given expression is,
⇒ 2⁴ × 6⁴
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PLEASE HELP I WILL MARK YOU BRAINLIEST!!
Answer:
answer of this question is A
25 points!! :))
15% of what number is 900?
60
13,500
6,000
Answer:
6,000
I hope this helps u!
Answer:
6000 is the answer!
Calculate the average of the following numbers: 19, 9, -9, 6, 10?
Answer:
7
Step-by-step explanation:
average = 19 + 9 +(-9)+6+10 / 5
=> 35/5 = 7
Monica has saved $3500 to open a cupcake shop. She must pay a security deposit of $800 and
$500 each month for rent. How many months will Monica's savings last?
Answer:
4 months
300 off of 5th month
Step-by-step explanation:
$3500-800= 2,700
2,700-500=2,200
4 months or 500 x 4= 2,000
2,000 - 2, 200= 200
Given m||n, find the value of x.
Plz help :)
Answer:
x is = 25° by complimentary angles
please help me with these simple math please
Answer:
A. 2
----------
3x^3 y^5 z
B. 49k^8 m^6
--------------------
81
C. a^9 b^3
---------------
27c^12
D. -125y^9
--------------
x^6
Step-by-step explanation:
A.
12x^2 y^-4 2
----------------- = -----------
18x^5 yz 3x³y^5z
B.
(9k^2 m)^-2 -81k^-4 m^-2 49k^12 m^8 49k^8 m^6
--------------- = ---------------------- = --------------------- = --------------
(7k^6m^4) -49k^-12 m^-8 81k^4 m^2 81
C.
( 4a² b² )³ 64 a^9 b^6 a^9 b^3
------------------- = ------------------------- = -------------
( 12a^-1 bc^4 )³ 1728 b^3 c^12 27c^12
D.
( -5x^-2 y³ )³ = -125 x^-6 y^9 = -125y^9
---------------
x^6
I hope this helps!
GST is charged at a rate of 10% in Australia. if the cost price before tax for a pair of boots is $72.00, how much GST will be added to your bill?
please answer this question it's very urgent please
Answer:
$7.20 will be added
Step-by-step explanation:
Multiply 72 by 1.10
72 x 1.10=79.20
Subtract that by 72
79.20-72=7.20
What is the equation of the line that passes through the point (-5,7) and has a
slope of -2/5
Answer:
The equation of a line that passes through the point (-5,7) and has a slope of -2/5 would be y = -2/5x + 5
Step-by-step explanation:
In the math term y = mx + b, "m" represents slope. So you can just substitute it for -2/5. "b" represents the y-intercept. 5 is the only number that works, so you just substitute "b" for 5.
Jackson drove 445 miles on the first day of a two day trip. If the total distance of the trip is 955
miles, how far will Jackson need to drive to reach his destination on the second day?
Answer:
510 miles
Step-by-step explanation:
miles to drive on second day = total distance - miles driven on first day
= 955 - 445
= 510 miles
Answer:
510 miles!
Step-by-step explanation:
If Jackson already drove 445 miles on the first day, the remaining amount of miles is how much further he will have to drive to reach his destination.
Subtraction[tex]955-445[/tex]
[tex]=510[/tex]
AnswerJackson will need to drive 510 miles on the second day to reach his destination,
Which decimal represents
(3 X 1) + (1 X 0.1) + (4 X 0.001)
written in standard form?
=================================================
Explanation:
For these type of problems, it helps to do a grid so you can line up the digits.
Check out the diagram below to see what I mean.
The 3 from "3x1" means we have 3 in the units digit
The first "1" from "1x0.1" means we have 1 in the tenths digit
The 4 in 4x0.001 means we have a 4 in the thousandths digit
There's a 0 in the hundredths digit as just a gap or placeholder so to speak. We can think of it as 0x0.01
10. Solve this equation: Yg + 5 = 0.
A. y = 45
B. y = 5
C. y = -5
D. y = -45
198.25 rounded to the nearest tenth
Answer:
198.3
Step-by-step explanation:
the tenth digit =198.25
the digit 5 behind the tenth digit is equal or above 5
therefore 1 is added to the tenth digit that is the digit 2
Please solve the question below!
Write the equation of a line in slope-intercept form that crosses through the points (-3, -7) and (12, 3)
Step-by-step explanation:
Hey there!
The points through which the line passed are; (-3,-7) and (12,3).
Note: Use double point formula.
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Keep all values.
[tex](y + 7) = \frac{3 + 7}{12 + 3} (x + 3)[/tex]
Simplify it.
[tex](y + 7) = \frac{10}{15} (x + 3)[/tex]
[tex](y + 7) = \frac{2}{3} (x + 3)[/tex]
[tex]y + 7 = \frac{2}{3} x + 3 \times \frac{2}{3} [/tex]
[tex]y = \frac{2}{3} x + 2 - 7[/tex]
[tex]y = \frac{2}{3} x - 5[/tex]
Therefore, the required equation is; y = 2/3x - 5.
Hope it helps...
ILL GIVE BRAINLIEST IF YOU ANSWER PLEASE!!!
What is the aspect ratio of a rectangle that is 6.5 inches by 2.5 inches? What if, you wanted another rectangle with the same aspect ratio, however, with a shorter side length of 20 inches. What would be the measure of the longer side?
Answer:
Aspect Ratio:13:5
Answer: 52 inches
Step-by-step explanation:
The aspect ration is the ratio between the sides which is 6.5:2.5 or 13:5.
Now we know the shorter side is 20 inches, and our aspect ratio basically means shorter side is 5x and longer side is 13x. well putting 5x=20, we get x=4. So the longer side, 13x, is 52 inches.
Which is true about measurements in manufacturing? POSSIBLE ANSWERS: Product quality is not affected by size. Size is not adversely affected if a measurement is off by an inch or two. Some products do not require a high degree of accuracy. Accurate measurements do not require a lot of time or energy.
Answer:
A. Product quality is not affected by size.
Step-by-step explanation:
This statement is true because the quality of a product is not a measure of its size, which is a quantifiable factor. This means that we can have a very small-sized product which has very good quality. Size also depends on the product being manufactured. Quality is rather measured by how good the materials used in the production are.
If inferior materials are used in the production, then the product, no matter how small or big they are, would lack quality. To obtain a good and accurate measurement, a lot of time and energy should be invested.
What is 7/10 equivalent to write the answer in fractions