For h(x), to find out the maximum, you would need to use this formula: [tex]c-(\frac{b^{2} }{4a} )[/tex]
We are given the equation: [tex]h(x)=-x^{2}+4x-2[/tex].
So, a = -1, b = 4, and c = -2. Then, substitute the numbers into the formula:
h(x)'s maximum = [tex]c-(\frac{b^{2} }{4a} )[/tex]
= [tex](-2)-(\frac{(4)^{2} }{4(-1)} )[/tex]
= [tex](-2)-(\frac{16 }{-4} )[/tex]
= [tex](-2)-(-4)[/tex]
= [tex]2[/tex]
For g(x), to find out the maximum, just look at the highest point of y on the graph of the function, which is 2.
Thus, the answer you have chosen is the correct answer, which is choice 3: functions g and h have the same maximum of 2. Hope this helps :)
if the four shaded triangles in the figure are congruent right triangles, does the inner quadrilateral have to be a square? explain how you know
Answer:
love
Step-by-step explanation:
you
Can you plz help me real quick I want good grades so I don't disappoint
Answer:
x= 6
∠FGT = 55
∠GFE = 65
Step-by-step explanation:
matt and anglela have 40$ together angela has 5more$ than matt how much
money does matt have
Please help... 12 points please thank you!
100 POINTS!!! The table shows the values of a function f (x), What is the average rate of change of f (x) over the interval from x = 5 to x = 9? Show your work.
Answer:
1. (f(x)-f(a))/(x-a) **A(x)=(f(x)-f(a))/(x-a) This average rate of shift attribute is designated by the letter A. *f(x) - f(a) represents the difference in the function f as the input transitions from a to x. x - a represents the change in the input of the function f.
f(5)=-2 f(9)=14 (f(5)-f(9))/(5-9)=(-2-14)/-4=4 (f(5)-f(9))/(5-9)=(-2-14)/-4=4
Over the range of x = 5 to x = 9, the average rate of change is 4.
2. g(x)=2x2+13x+1, f(x)=4x2+6x
(f/g)(x)=(4x2+6x)/(2x2+13x+1) (f/g)(x)=(4x2+6x) (f/g)(x)=(4x2+6x)
f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85
3. f(x)=x2-6x+8, g(x)=x-2, g(x)=x-2, f(x)=g (x)
x2-6x+8=x-2, x2-6x-x+8+2=0, x2-7x+10=0, x2-6x-x+8+2=0
x1,2=(7+(72-4*10))/2=(7+3)/2 x1=5, x2=2 x1=5 x2=2
Step-by-step explanation:
A full tub of water weighs 3 1/8 pounds. If the tub is filled up only 1/7 full how much would it weigh?
Answer:
[tex]\frac{25}{56}[/tex] pounds
Step-by-step explanation:
By using unitary method,
∵ 1 full tub of water weighs = [tex]3\frac{1}{8}[/tex] pounds
∴ [tex]\frac{1}{7}[/tex] of a water tub will weigh = [tex]3\frac{1}{8}\times \frac{1}{7}[/tex]
= [tex]\frac{(24+1)}{8}\times \frac{1}{7}[/tex]
= [tex]\frac{25}{56}[/tex] pounds
Therefore, water filled in [tex]\frac{1}{7}[/tex]th part of the tub will weigh [tex]\frac{25}{56}[/tex] pounds.
The weight of the tub if filled up to 1/7 full is 25/56 pounds
How to find product of fractionGiven:
Full weight of tub = 31/8 poundsIf filled halfway:
= 1/7 × 3 1/8
= 1/7 × 25/8
= (1 × 25) / (7 × 8)
= 25/56 pounds
Therefore, the weight of the tub if filled to 1/7 of the capacity is 25/56 pounds
Learn more about fraction:
https://brainly.com/question/11562149
x-3=4
x= ______
explain
Answer:
7
Step-by-step explanation:
In order to solve the value of x we need to Seperate it so that it can be alone on one side.
So:
X - 3 = 4
X = 4+3 (when characters go from one side of the "=" to the other, they change the sign that is before them (so if before the "=" it was "-" now it will be "+". Same goes for when we multiply or divide))
X=7
Answer:
X=7 because
-3=3=0,
and 4+3= 7 so x= 7
Step-by-step explanation:
please mark brainly
h(x)=x2 + 6x + 18 need answer for a please explain you’re answer
B
This is a parabola opening downwards. The term - x^2 tells us that, so we can deduce answer is B.
find m<VOR
A. 70°
B.80°
C.85°
D.95°
Answer:
C. 85
Step-by-step explanation:
If you look closely to the protractor, r is in the middle of 80 and 90 which is 85
The function ƒ(x) = 2x − 1 indicates:
a downward shift of 1 unit.
a shift of 1 unit to the left.
an upward shift of 1 unit.
None of these choices are correct.
Answer:
the function f(x) = 2x - 1 indicates:
a downward shift of 1 unit
as the y-intercept: (0, -1)
Help me with this question please!
Answer:
24, 21, 15, 12
Step-by-step explanation:
Since x is given in the table, you can find the y-values by plugging each of the x-value into the equation replacing x.
[tex]y=30-3(2)=30-6=24[/tex] [tex](2, 24)[/tex]
[tex]y=30-3(3)=30-9=21[/tex] [tex](3, 21)[/tex]
[tex]y=30-3(5)=30-15=15[/tex] [tex](5, 15)[/tex]
[tex]y=30-3(6)=30-18=12[/tex] [tex](6, 12)[/tex]
9514 1404 393
Answer:
see attached
Step-by-step explanation:
It is convenient to let a spreadsheet or graphing calculator do the repetitive arithmetic.
__
If you want to do it by hand, put the x-value in the equation and do the arithmetic. For example, ...
y = 30-3(2) = 30 -6 = 24 . . . for x=2
1 Roxie is coloring a rectangle sheet of paper. If the base of the rectangle is 8 inches and the height is 11 inches. What is the area Roxie colored?
what is the area of this figure
Answer:
141
Step-by-step explanation:
2*3=6
5*9=45
6*15=90
141
Answer:
add all the sides I guess...
Step-by-step explanation:
or you can break that figure into rectangles. then find their areas and later sum up all the areas and you'll have your area of this shape
Which simplified expression matches the perimeter of the shape?
help plzzzzz! it's math and I'll give 30 points
Answer:
[tex]\sqrt{45}[/tex]
Step-by-step explanation:
Hi there,
In order to solve this problem, you have to know the Pythagorean Theorem:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
We can see from the graph that line segment ML and LN are 6 and 3 units respectively. Since we know the lengths of two sides of the triangle, we can use the theorem above to find the hypotenuse (MN).
⇒ [tex]6^{2}[/tex] + [tex]3^{2}[/tex] = [tex]c^{2}[/tex]
⇒ 45 = [tex]c^{2}[/tex]
⇒ c = [tex]\sqrt{45}[/tex]
Hope this explanation helps. Cheers.
Pls helppp my last question and my last of point. This is veryyy important
Answer:
kids
Step-by-step explanation:
don't need to do much math, just compare the differences between the numerators and denominators of 22/35 and 18/42
22 portions out of 35 is a lot closer to 100% than 18 portions out of 42 (it's not even 50%)
PLEASE HELP !!!! Give an example of
Find the slope of the linear equation 2y = -18x + 10
Answer:
m= -9
Step-by-step explanation:
Hope this helps
x + 8 > 10 plss help
Answer:x=2
Step-by-step explanation:8x2=16 and 16 is greater than 10.. hope this helps and gets brainliest
Answer:
x > 2
Step-by-step explanation:
Given
x + 8 > 10 ( subtract 8 from both sides )
x > 2
What is the distance between the points (3, 4) and (3, -7)
Answer:
distance is estimated 11
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
x=3
Step-by-step explanation:
Hope this help and plz give me brainlist.
Answer: x=3
Step-by-step explanation: cuz Im know how to solve for x. Hope its good!
help me pls i give brainliest
Answer:
Decreased I think because they bumped into the other person
Step-by-step explanation:
Answer:
increased
i just heard my brother say it because he's in highschool. TwT
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Yes.
Step-by-step explanation:
If you change nothing but the angle and positioning of the original shape, then it is congruent.
An item is priced at $14.55. If the sales tax is 6%, what does the item cost including sales tax?
Answer:
$15.43
Step-by-step explanation:
$14.55 x 1.06 = $15.423
Find a and b if
2^a×3^b=12
Answer:
12=12
Step-by-step explanation:
2a = b
a -3b =12
To solve, set one of the equations equal to zero. The first equation is actually already set to 0.
b = 2a
Now you can plug this equation into the other one, by substituting the b in the equation with this.
a -3b = 12
a – 3(2a) = 12
Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).
a – 6a = 12
Combine like terms. Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs
6-1 = 5
And take the sign of the larger number. Since 6 is large and 6 is negative, we are left with
-5a = 12
Now solve for a, which in this case means dividing both sides by -5
a = -12/5
Simplify
a = -2.4
Now that you have a, it’s easy to find b
b = 2a
b = 2(-2.4)
b= -4.8
Now you check your work by plugging your new a and b into either equation to see if it’s true.
-4.8 = 2(-2.4)
-4.8 = -4.8
And just for laughs let’s try the other equation
a -3b =12
-2.4 – 3(-4.8) = 12
Distribute the 3 again. Remember that when two negative numbers are multiplied they become positive.
-2.4 +14.4 = 12
12 = 12
can anyone help me with this?
Please help!
An isosceles triangle has base angles that each measure 34°. Which of the following equations could be used to find x, the measure of the third angle of this isosceles triangle in degrees?
A. 34 + x = 180
B. 68 + x = 180
C. 68 + 2x = 180
D. 34 + 2x = 180
Help me with this ASAP
Answer:
2 to the power of 2 times three to the power of 2
3 to the power of 2 times 5 to the power of 2
6 to the power of 2 times 7 to the power of 3
7 to the power of 2 times 5 to the power of 3
3 to the power of 2 times 5 to the power 2 times 7 to the power of 2
Step-by-step explanation:
A right triangle has legs that are 5 cm and 7 cm long what is the length of the hypotenuse
1.√12
2.√24
3.√74
4.√144
Answer:
3. 74
Step-by-step explanation:
The pythagorean theorem states that A^2 + B^2 = C^2 (with c being the hypotenuse). So to figure it out we can substitute into the equation.
5^2 = 25
7^2 = 49
25 + 49 = 74
So it would be the square root of 79. I hope this helps! :)
The length of the hypotenuse side of a triangle is √74. Therefore, the correct answer is option 3.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, a right triangle has legs that are 5 cm and 7 cm long.
Let the length of the hypotenuse side be x.
Now, x²=5²+7²
x²=25+49
x²=74
x=√74 units
Therefore, option 3 is the correct answer.
To learn more about the Pythagoras theorem visit:
brainly.com/question/21926466.
#SPJ2
please help me, I lost my answer