Answer:
D
Step-by-step explanation:
The maximum value is the y- coordinate of the vertex
Given a quadratic in standard form , y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = - x² + 6x + 5 ← is in standard form
with a = - 1 and b = 6 , then x- coordinate of vertex is
x = - [tex]\frac{6}{-2}[/tex] = 3
Substitute x = 3 into the function for y- coordinate of vertex
y = - 3² + 6(3) + 5 = - 9 + 18 + 5 = 14
maximum value is 14 → D
Choose the best selection for the
quadrilateral with vertices at the
following points:
(0,0), (0,3), (4,0), (4,3)
Answer: rectangle not sure tho
Step-by-step explanation:
Answer:
Step-by-step explanation:
i chose B:square, i out in the points and that what shape came up. srry if im wrong
Write 2^3 ÷ √ 2 as a single power of 2.
Answer:
Step-by-step explanation:
Numerator: 2^3
Denominator: 2^(1/2)
Combining these, we subtract 1/2 from 3, obtaining 2^(5/2)
What is the least common denominator of 1/2, 2/3, and 3/4?
48
24
16
12
Answer:
12
Step-by-step explanation:
This is because 2, 3, and 4 can all go into the number and it is the smallest of the ones listed.
Answer: 24
Step-by-step explanation:
1/2 x 12 = 12/24
2/3 x 8 = 16/24
3/4 x 6 = 18/24
Each number can be multiplied by "x" to get a denominator of 24.
Similar figures have the same ________ but not necessarily the same size.
Rewrite the function by completing the square.
g(x)=4x^2-16x+7
g(x)=___(x+___)^2+__
Answer:
[tex]g(x) = 4(x - 2)^2 -9[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 4x^2 - 16x + 7[/tex]
Required
Complete the square
Rewrite so that [tex]x^2[/tex] has 1 coefficient
[tex]g(x) = 4(x^2 - 4x) + 7[/tex]
Take half of the coefficient of x
[tex]\frac{4}{2} = 2[/tex]
Square the result
[tex](\frac{4}{2})^2 = 2^2[/tex]
[tex](\frac{4}{2})^2 = 4[/tex]
Add and subtract the result in the bracket
[tex]g(x) = 4(x^2 - 4x + 4 - 4) + 7[/tex]
Expand the bracket to remove -4
[tex]g(x) = 4(x^2 - 4x + 4) - 16 + 7[/tex]
[tex]g(x) = 4(x^2 - 4x + 4) -9[/tex]
Expand the bracket
[tex]g(x) = 4(x^2 - 2x -2x+ 4) -9[/tex]
Factorize
[tex]g(x) = 4(x(x - 2) -2(x-2)) -9[/tex]
Factor out x - 2
[tex]g(x) = 4((x - 2)(x-2)) -9[/tex]
Express as square
[tex]g(x) = 4(x - 2)^2 -9[/tex]
Mike measured the stage where his band was going to play to determine if it is a right triangle. Does the stage with side lengths of 36 feet, 48 feet, and 60 feet form a right triangle
Answer:
let
hypotenuse[h]=60ft
base[b]=36ft
perpendicular [p]=48ft
by using Pythagoras law
p²+b²=h²
48²+36²=60²
2896≠3600
since p²+b²≠ h²[so the stage is not in a right angled triangle]but it is scalene triangle
What is the approximate distance from the origin to the point (−5, 6, −1)? Round to the nearest tenth.
o3.2 units
o3.5 units
o7.7 units
o7.9 units
Answer:the answer is o.7.7
Step-by-step explanation:
6th grade math plsssssss whoever does this I will give any vbuck card, or Microsoft. PLSSS HELP!
Answer:
5 toppings
Step-by-step explanation:
$20 - $9 = $11 dollars left for toppings
$11 ÷ 2 = 5.5
So, you can get 5 toppings with 50 cents left.
Have a great day!
a dog is leashed to the corner of a house. how much running area does the dog have? 40 ft
Answer:
5027.2ft^2
Step-by-step explanation:
Given data
Radius= 40ft
The expression for the area covered is given as
A= πr^2
Substitute
A= 3.142*40^2
A=3.142*1600
A=5027.2ft^2
Hence the area covered is 5027.2ft^2
A number is 3 1/3 greater than another. If the sum of the numbers are doubled the answer would be 19 1/2
Answer:
smaller number = 3 5/24
larger number = 6 13/24
Step-by-step explanation:
let the larger number = x
smaller number = y
x - y = 3 1/3 equation 1
2(x +y) = 191/2 equation 2
divide equation 2 through by 2
x + y = 9 3/4 equation 3
subtract equation 1 from 3
2y = 6 5/12
y = 77/12 x 1/2 = 3 5/24
substitute for y in equation 1
x - 3 5/24 = 31/3
x = 3 1/3 + 3 5/24
x = 6 13/24
Answer:
3 and 5/24
Step-by-step explanation:
trust me bro
i wish u luck
also
hi
i just realized that the other person got it right
ignore this lol
pls helppp!
what is the area of the the shaded region?
a. 11 square cm
b. 19 square cm
c. 16 square cm
d. 6 square cm
please answer if you are able to see my picture. thanks:•)
Answer:
in 5 weeks i think
Step-by-step explanation
I added 300+20 5 times. Same with the 250
Answer:
5
Step-by-step explanation:
to vick = W1 = 300 + 20 x ( 1 )
to anya = W2 = 250 + 30 x ( 2) Both 1 and 2 ( simulataneous )
When W1 = W2
300 + 20 x = 250 + 30 x
10 x = 5
so they need 5 months
Write an equation that shows the relationship 40% of 120 is a.
Answer:
---
Step-by-step explanation:
Convert the fraction to a decimal(40% = 40/100 = 0.4). Multiply it by 120.
0.4x120=a
---
hope it helps
The equation 40 ÷ 100 × 120 = a shows
the relationship 40% of 120 is a
What is an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
'An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.'
For example, 3x + 5 = 15.
Given,
Relation, 40% of 120 is a
⇒ 40% × 120 = a
Above relation can be written in equation as
40 ÷ 100 × 120 = a
Hence, 40 ÷ 100 × 120 = a is the equation
for relation such that 40% of 120 is a.
Learn more about equation here:
https://brainly.com/question/29657983
#SPJ2
In the figure below, ACDE is similar to AFGH.
D
G
11
8
C
5 E
2X+4
F
H
If the perimeter of AFGH is 48 units, find the value of x.
Answer:
6
Step-by-step explanation:
[tex]1)\ P_1 = 11 + 8 + 5 = 24\ units[/tex]
[tex]2)\ 2x + 4 + y +z = 48[/tex]
[tex]3)\ \frac{48}{24} = 2 => 2x+4 = 2*8[/tex]
[tex]4)\ 2x+4 = 2*8 => 2x + 4 = 16 => 2x = 12 => x = 6[/tex]
Answer:
6
Step-by-step explanation:
[tex] \triangle CDE \sim \triangle FGH[/tex]
[tex] \frac{P(\triangle CDE) }{P(\triangle FGH)} =\frac{CD}{GH} [/tex]
(Area of similar triangle theorem)
[tex] \frac{11+8+5}{48} =\frac{8}{2x +4} [/tex]
[tex] \frac{24}{48} =\frac{8}{2x +4} [/tex]
[tex] \frac{1}{2} =\frac{8}{2x +4} [/tex]
[tex] 2x + 4 = 2\times 8[/tex]
[tex] 2x + 4 =16[/tex]
[tex] 2x =16-4[/tex]
[tex] 2x =12[/tex]
[tex] x =\frac{12}{2} [/tex]
[tex] x = 6 [/tex]
Find the distance between the points given.
(-1, -1) and (1, 3)
√5
√(17)
2√5
Answer:
2√5
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
= √[1 - (-1)]² + [3 - (-1)]
= √(2)² + (4)²
= √(4) + (16)
= √20
= 2√5
ANSWER FOR BRAINLIEST
Answer:A
Step-by-step explanation: A is 8d+d, and since d=1, 8d,+1d is equal to 9d
can an ace help me now plss
Answer:
Graph B
Step-by-step explanation:
[tex]y = x^2[/tex] is a quadradic function. It graphs as a parabola. It has a vertex point of (0,0) and it opens upwards.
See the graph attached.
Hope this helps.
Solve n/6=14/42 for the unknown quantity, n
will mark brainlist!!!!
Which expression is equivalent to 15 + 35
Answer:
5(3+7)are equal to15+35
Step-by-step explanation:
5(3+7) five multiply the bracket
15+35
it help you
Answer:
C5(3+7)
Step-by-step explanation:
So, lets ingore the answers, and jsut try to break down 15+35
What can we take from both 15 and 35?
Well, 5 is the only one I can see in this.
So lets take 5 from this:
5(3 + 7)
We got 3 since 5x3 is 15, and we got 7 since 5x7 is 35.
So lets look at our answers and see if 5(3 + 7) is one of them
Well, looking at C, that is exactly 5(3 +7)
So c is our answer.
Hope this helps!
Use the distributive property to write an equivalent expression.
10(2x + 8y - 6)
Answer:
20x +80y -60 hope this helped:)
Step-by-step explanation:
The radius of a circle is 4 feet. What is the circle's circumference?Use 3.14 for
r=4 ft
Answer:
50.24 is the circumfrence
If we were to use actual pi the answer would be -
50.26548246
Answer:
25.12
Step-by-step explanation:
2pi4=2*3.14*4=25.12
conviince me for my question (brainliest plzz)
(a) An object has a density of 17
g.
3
cm
and a mass of 272 g. What is the
volume of the object?
Volume
a
Rewrite the function, differentiate, and then simplify
y= 3/√x
Answer:
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]
Step-by-step explanation:
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = [tex]\frac{3}{\sqrt{x} }[/tex] = 3[tex]x^{-\frac{1}{2} }[/tex] , then
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{3}{2} }[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]
A small toy car costs $3. A large toy car costs 5 times as much as the small one.
Aaron wants to buy one of each. Which equation can he use to find the cost (a)
of the two cars?
Answer:
(3 x 1) + (3(5) x 1) = a
Step-by-step explanation:
In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term
Answer:
Common difference is 3. And the first term is 64.
Step-by-step explanation:
The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between. And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64
Translate algebraic words to symbols.
Six times y divided by x squared
A. 6y - X2
B. 6y + 2x
C. (6 + y)/2x
D. 6y/x2
Answer:
D
Step-by-step explanation:
Answer:
D. 6y/x²
Step-by-step explanation:
6×y= 6y
x squared =x²
Help me with this please!!!!!!!!!!
Answer:
[tex]\sqrt{3} = q[/tex]
Step-by-step explanation:
Sin(45) = q/[tex]\sqrt{6}[/tex]
Sin(45) * [tex]\sqrt{6}[/tex] = q
[tex]\sqrt{3} = q[/tex]
Hope this helps!
Select the correct answer.
The daily high temperature of Elk Creek drops by 1.2°C every day. What is the net change in the daily high temperature after two calendar weeks?
Answer: the correct answer is 16.8°C.
Step-by-step explanation:
Answer:
-16.8
the number is in the negatives because the temperature is dropping
I hope this helps
HELP ME WITH THIS PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]\sqrt{3}[/tex] = m
Step-by-step explanation:
So we can say;
Tan(30) = m/3
=> Tan(30) * 3 = m
=> [tex]\sqrt{3}[/tex] = m
Hope this helps!