The function g(x) = x² - 10x + 16 is a quadratic function whose vertex is a minimum, and the minimum value for g(x) = x² - 10x + 16 is -9
How to determine the minimum value?The function is given as:
g(x)=x² - 10x + 16
Differentiate the function
g'(x) = 2x - 10
Set the function 0
2x - 10 = 0
Add 10 to both sides
2x = 10
Divide by 2
x = 5
Substitute 5 for x in g(x)
g(5)=5² - 10*5 + 16
Evaluate
g(5) = -9
Hence, the minimum value for g(x)=x² - 10x + 16 is -9
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need help asap will give brainlist
Answer:
4th option
Step-by-step explanation:
using the rule of exponents
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
then
[tex](5)^{\frac{7}{3} }[/tex] = [tex]\sqrt[3]{5^{7} }[/tex]
Answer:
[tex]\sqrt[3]{5^{7} }[/tex]Step-by-step explanation:
Given
[tex]5^{\frac{7}{3} }[/tex]Rule
[tex]a^{\frac{x}{y} } = \sqrt[y]{a^{x} }[/tex]Here,
a = 5x = 7y = 3So, on subsituting :
[tex]\sqrt[3]{5^{7} }[/tex]solve for x 0 = 3x - 21
The rule for the dilation of quadrilateral QRST to the image Q'R'S'T' is DO,0.5(x, y) → (0.5x, 0.5y).
What are the coordinates of Q', if Q(0, 2)?
(
,
)
Answer:
Q' (0, 1)
Step-by-step explanation:
(x, y) → (0.5x, 0.5y) <== substitute 0 for x and 2 for y
(0, 2) → (0.5(0), 0.5(2)) <== multiply
(0, 2) → (0, 1)
Hope this helps!
Which of the following is the graph of f(x) = -0.5x + 3| -2?
If you mean
y=|-0.5x+3|-2The graph has been attached
If that modulus sign is typing mistake then
The yielded function is
y=-0.5x+3-2y=-0.5x+1Both graphs attached
Thomas rolled a number cube with sides labeled 1 through 6. What is the
probability that Thomas rolled either a 2 or a 5?
A 1/6
B 1/3
C 1/2
D 4/6
Answer:
b
Step-by-step explanation:
He has a probability of 2 over 6 to roll 2 or 5 bc it's 2 numbers out of 6 simplify 2 over 6 and you get 1 over 3
simplify the following fraction:
18
__
40
Answer:
9/20
Step-by-step explanation:
? Don't Send links, don't Write random things and get the points for free.
Answer:
[tex]V = 1847.26\ ft^3[/tex]
Step-by-step explanation:
Step 1: Determine the volume
[tex]V=\pi r^2h[/tex]
[tex]V = \pi *(7\ ft)^2 * (12\ ft)[/tex]
[tex]V = \pi *49\ ft^2 * 12\ ft[/tex]
[tex]V = \pi * 588\ ft^3[/tex]
[tex]V = 1847.26\ ft^3[/tex]
Answer: [tex]V = 1847.26\ ft^3[/tex]
Answer:
Step-by-step explanation:
volume
1. Let the sample space represent all the values from 1 to 10. Let A = {1, 2, 8} and B = {2, 7}. What is the P(A ∩ B)?
A [tex]\cap[/tex] B denotes to all common elements in both A and B
Sample space=S={1,2,3,4,5,6,7,8,9,10}So
A={1,2,8}B={2,7}2 is common
Hence
A $\cap$ B={2}
Answer:
P(A ∩ B) = 1/10
Step-by-step explanation:
Given:
Sample space (S) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}A = {1, 2, 8}B = {2, 7}We can represent this information in a Venn diagram (see attachment 1).
As there are 10 equally likely outcomes (which must add up to 1), the probability of each outcome is 1/10.
Therefore, we can redraw the Venn diagram with the probabilities instead of the values (see attachment 2).
P(A ∩ B) means the probability of events A and B happening together, so it is the section of the diagram where events A and B overlap.
Therefore, P(A ∩ B) = 1/10
Please help!! Will mark brainlyest.
Answer:
It would be (3,0) its in the 1st grid and if you rotate it 90 degrees its now in the second grid which flips the sign on the x value.
Step-by-step explanation:
Please help meeeeee I suck at math
Answer:
Option E) 832.9km2
Step-by-step explanation:
The total area of the circle:
[tex]A=\pi r^{2} =\pi (24.5)^{2} =1885.7km^{2}[/tex]
The proportion of the blank region:
[tex]\frac{(67)(3)}{360} =0.558333[/tex]
Then the proportion of the shaded region is:
[tex]1-0.558=0.441667[/tex]
Extract this proportion from the total area
[tex](1885.7)(0.441667)=832.85=832.9km^{2}[/tex]
Hope this helps
Will give 5 stars on your answer and a thank you.
Answer:
the variable term is (t)
the answer is 13.50t
Answer:
it will be 13.50t
Step-by-step explanation:
it says 13.50 for EACH Ticket so it is the last one
Hope it helps <333
Vikram drinks 6/10 of a liter of water after gym class and 33/100 hours of a liter of juice with
his lunch. Vikram says he drank a total of 39/100
of a liter.
Use the drop-down menus to explain why Vikram is not correct.
The Vikram is not correct as he said that he drank a total of 39/100
of a liter in gym class and in his lunch, but he drank a total of 39/100 of a liter.
What is the fraction number?A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,
[tex]\dfrac{a}{b}[/tex]
Here (a) is the numerator and (b) is the denominator.
Vikram drinks 6/10 of a liter of water after gym class and 33/100 hours of a liter of juice with his lunch.
Thus, the total amount he drank is,
[tex]n=\dfrac{6}{10}+\dfrac{33}{100}\\[/tex]
Take the LCM 100, to solve it further,
[tex]n=\dfrac{60+33}{100}\\n=\dfrac{99}{100}\\[/tex]
Now, Vikram says he drank a total of 39/100 of a liter, which is an incorrect claim.
Thus, the Vikram is not correct as he said that he drank a total of 39/100
of a liter in gym class and in his lunch, but he drank a total of 39/100 of a liter.
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As an estimation we are told £3 is €4.
Convert €85.10 to pounds.
Give your answer rounded to 2 DP.
Answer:
To solve the above problem we will use the unitary method as follows
As estimated If £ 3 is equivalent to € 4
Then, £ 1 will be equivalent to = € \frac{4}{3}
£ 64.60 will be equivalent to = € \frac{4}{3} \times 64.60 = 1.3333 \times 64.60 = 86.1311
Now you have to round the answer up to 2 decimal points to get the final answer
€ 86.1311 ≈ € 86.13
Thus, £ 64.60 is approximately equal to € 86.13.
Step-by-step explanation:
hope this helps if not let me now
The value of the expression 7+3^2+(12-8)/2x4 is???
Answer:
24
Step-by-step explanation:
7+3^2+(12-8)/2x4
=7+9+4/2x4
=7+9+2x4
=7+9+8
=24
It costs $112 to turf a lawn of area 56m squared. How many dollars would it cost to turf a lawn of area 77m squared.
[tex]Cost\:of\:56m^2lawn=$112\\Cost\:of\:1m^2 lawn=$(112/56)\\=$2Cost\:of\:99m^2=$(99\:x\:2)=$198\\=14166.9rs /14167 rs[/tex]
Found answer here: https://brainly.in/question/12501706
Answer:
$154
Step-by-step explanation:
You have to divide 112/56 to get the amount of money each m squared is which is 2
Then you subtract 77-56 to get the difference, which is 21 and then you multiply 21•2 which is 42
Then you add 42+112 which will be 154
What is the height of the triangle?
Will mark brainlyest!!
Answer:
2 square units
Step-by-step explanation:
just count the squares that go up
Powwows were, and still are a part of Native American life.
TRUE
FALSE
A line passes through point (-8,-2) and has a slope of -3/2. Write an equation in Ax+By=C form for this line. Use integers for A, B, and C.
Answer:
A= 3/2, B = 1, C = -14
Step-by-step explanation:
Using the point-slope form we can plug in your point and slope.
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-2)=-3/2(x-(-8))[/tex]
[tex]y+2=-3/2(x+8)[/tex]
Distribute -3/2
[tex]y+2=-3/2x-3/2*8[/tex]
[tex]y+2=-3/2x-12[/tex]
Get y by itself by subtracting 2 to both side.
[tex]y=-3/2x-14[/tex]
[tex]3/2x+y=-14[/tex]
A = 3/2 , B = 1 , C= -14
A bag contains eight balls labeled 1 through 8. One ball will randomly be picked. What is the probability of picking an even number?
Answer:
Answer: 50 percent or 1/2
Please help! Both problems are below and please make sure to answer both! Will give brainiest if possible!
Answer:
picture a is 180⁰ clockwise or counterclockwise (c)
picture b is 90⁰ counterclockwise (b)
Step-by-step explanation:
hope this helps :)
Answer:
A and B
Step-by-step explanation:
The first one is 180 clockwise…
Second picture is 90 counterwise.
I hope thi help and have a good day.
Find the measure of angle CED in the figure below. Enter only the number.
Answer:
∠CED = 58°
Step-by-step explanation:
Clearly, we can see that ∠AED and ∠CED are a linear pair. Therefore:
∠AED + ∠CED = 180°Definition of Linear pair: A linear pair is two angles that form a 180 angle.
We are given that:
∠AED = 122°Therefore, when we substitute the measure of ∠AED, we get;
122° + ∠CED = 180°This problem is now an algebraic problem. Simply isolate ∠CED on one side of the equation to determine the measure of ∠CED. This can be done by subtracting 122 both sides of the equation.
∠CED = 180° - 122°∠CED = 58°Therefore, the measure of ∠CED is 58°.
The measure of angle CED is 58° adjacent to the angle AED.
What is a linear pair of angles?A pair of linear angles are adjacent to each other whose sum is 180°.
Given, a measure of the angle AED is 122°
We know the measure of linear pair of angles is 180°.
∴ m∠AED + m∠CED = 180°.
122° + m∠CED = 180°.
m∠CED = 180° - 122°.
m∠CED = 58°.
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Find the amount of time. I=$237. 90, P=$1525, r=2. 6%
Find the amount of time. __ Years
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$237.90\\ P=\textit{original amount deposited}\dotfill & \$1525\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years \end{cases} \\\\\\ 237.90 = (1525)(0.026)(t)\implies \cfrac{237.90}{(1525)(0.026)}=t \implies 6=t[/tex]
Which expression is equivalent to log18 – log(p 2)?
The expression which is equivalent to the provided logarithmic equation log18 – log(p +2) is log[18/(p+2)].
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given logarithmic expression is,
[tex]\log18 -\log(p+ 2)[/tex]
Let the expression which is equivalent to above expression is f(p). Thus,
[tex]f(p)=\log18 -\log(p+ 2)[/tex]
With the help of Quotient Rule of logarithmic, the above expression can be written as,
[tex]f(p)=\log18 -\log(p+ 2)\\f(p)=\log\left(\dfrac{18}{p+2}\right)[/tex]
Thus, the expression which is equivalent to the provided logarithmic equation log18 – log(p +2) is log[18/(p+2)].
Learn more about the equivalent expression here;
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A pyramid has a square base. The base edge is one-half of the height of the pyramid. If the base edge is 6 units, what is the volume of the pyramid
Answer:
144 cubic units
Select the correct answer.
Which of these graphs represents a function?
Answer:
the answer is w. this is a linear function that is increasing over time.
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth.
23
30
Answer:
37.80
Step-by-step explanation:
a^2 + b^2 = c^2
=> 23^2 + 30^2 = x^2
=> 1429 = x^2
=> 37.80
Hope this heps :)
John is creating a Thanksgiving display at the store where he works, using
needs to maintain a ratio of pumpkin to green beans of 5 to 2. If he wants a total of 140 cans how many cans of green
beans should he use?
3. Which of the following points is not on the graph of y = 2x² + 3x - 10? (4,30) (6,80) (-9, 125) (-3,-1) A
Answer:
biside of A
Step-by-step explanation:
thats is the answers
The diagram below shows a sign that Annie designed. It is made of two circles that share the same center. Annie wants to use string to create a border around the outermost edge of the sign. About how many inches of string does Annie need?
132 in
Step-by-step explanation:
Take the total radius = 18+3 = 21= R (say) Simply use the formula for the circumference i.e. 2*pi*R2*22/7*21= 132Find the length of the unknown side
SOMEONE PLEASE HELP ME WITH THESE! ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
1. 676 2. 10,000 3. 2,500 4. 1,681
Step-by-step explanation:
1. Using the Pythagorean Theorem (a sqaured + b sqaured = c sqaured) you do 10 sqaured plus 24 squared which equals 676.
2. By using the same Theorem, you do 60 sqaured plus 80 sqaured which equals 10,000.
3.By using the same Theorem, you do 30 sqaured plus 40 sqaured which equals 2,500
4.By using the same Theorem, you do 40 sqaured plus 9 sqaured which equals 1,681.