Answer:
g(x) has a minimum
Step-by-step explanation:
Given a quadratic in standard form
g(x) = ax² + bx + c ( a ≠ 0 )
• If a > 0 then vertex is a minimum
• If a < 0 then vertex is a maximum
Given
g(x) = x² - 5x + 2 ← in standard form
with a > 0 , thus
g(x) has a minimum
3. A certain 50 cm spring will stretch (in
cm) the weight (in kg) attached to
it. How long will the spring be if a 35
kg weight is attached to it?
Complete Question
A certain 50 cm spring will stretch (in cm) one fifth the weight (in kg) attached to it. How long will the spring be if a 35 kg weight is attached to it
Answer:
The value is [tex]L_w = 57 \ cm[/tex]
Step-by-step explanation:
The length of the spring is [tex]L = 50 \ cm = 0.5 \ m[/tex]
The mass attached to it is [tex]w = 35 \ kg[/tex]
Generally given from that the spring will stretch one fifth of the weight (in kg)attached to it , it then means that the new length of the spring whenever a weight is attached to it is mathematically represented as
[tex]L_w = L + \frac{W}{5}[/tex]
=> [tex]L_w = 50 + \frac{35}{5}[/tex]
=> [tex]L_w = 57 \ cm[/tex]
3x+5y=5+3y plz help with prob thxs
Answer:
x= 5/3-2y/3
y= 5/2-3x/2
Step-by-step explanation:
i solved it woww
Given the graphs of y = 3x - 1 and y = -2x + 1, determine
which ordered pair is a solution to:
y < 3x - 1
y > - 2x + 1
(-4,2)
(0,4)
(4,2)
(2,-4)
Answer:
Я могу заплатить, но я никогда не хотел
Победы любой ценой.
Я никогда не хотел, чтобы чья-то грудь была под моей ногой.
Я бы лучше остался здесь с тобой,
Просто остался здесь с тобой,
Но звезда, что высоко в небе, по-прежнему показывает мой путь.
Step-by-step explanation:
If g(x) = 2x2 + 6x + 5, use synthetic division to find g(-5).
=================================================
Explanation:
Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).
Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.
As a way to check the answer, we can say
g(x) = 2x^2 + 6x + 5
g(-5) = 2(-5)^2 + 6(-5) + 5
g(-5) = 25
So the answer is confirmed.
The population of Salisa is 12,500 and increases by 300 each month. The population of Corsair is 13,200 and increases by 200 each month. How many months will it take until the population of the two cities is the same?
It will take seven months for the population of each city to be the same.
On month seven, Salisa's population will be 14,600. (300x7=2,100+12,500=14600)
On month seven, Corsair's population will be 14,600 as well. (200x7=1,400+13,200=14600)
convert y+1= 6/11(x+11) to slope-intercept
Answer:
need more info
Step-by-step explanation:
plz comment so i know
Answer:
y = 6/11x + 5
Step-by-step explanation:
y + 1 = 6/11 (x + 11)
distribute 6/11
y + 1 = 6/11x + 6
- 1 - 1
y = 6/11x + 5
Hope this helps!!
Also, mark me brainliest thank you!!!
In case you don't know how click the crown at the bottom of this answer next to the comments button.
^^^ this one alsoooooo
Answer:
the first option
Step-by-step explanation:
BED = 180°-65°
= 115°
Answer:
115°
Step-by-step explanation:
Since CE is perpendicular to AD , then ∠ AEC = 90° and
∠ BEC = 90° - 65° = 25° , then
∠ BED = ∠ BEC + ∠ DEC = 25° + 90° = 115°
Please can someone please help me with this one question??????
Answers:
angle K = 50 degreesangle L = 90 degreesangle KML = 40 degreesangle LMN = 140 degrees========================================================
Explanation:
Rule: The interior (inside) angles of a triangle always add to 180
K+L+M = 180
5x+9x+4x = 180
18x = 180
x = 180/18 ... divide both sides by 18
x = 10
That x value directly leads to...
angle K = 5x = 5*10 = 50 degreesangle L = 9x = 9*10 = 90 degrees (aka right angle)angle M = 4x = 4*10 = 40 degreesAs a check,
K+L+M = 50+90+40 = 180
This confirms we have the right x value.
--------------------------
We can further say,
angle KML = interior angle M = 40 degreesangle LMN = 180 - (angle KML) = 180 - 40 = 140 degreesnote how interior angles K and L add to exterior angle LMN
50+90 = 140
This is an application of the remote interior angle theorem.
Answer:
Angle K = 50
Angle L = 90
Angle KML = 40
Angle LMN = 140
Step-by-step explanation:
Solve for x. We know that triangles' interior angles add up to 180.
So, we can set the values to equal to 180 and solve for x.
5x + 9x + 4x = 180
Simplify.
18x = 180
Now, divide by 18.
x = 10
Now, plug 10 in for each angle.
Angle K = (5 * 10) = 50
Angle L = (9 * 10) = 90
Angle KML = (4 * 10) = 40
For this last angle, we use the supplementary theorem that says "angles that are supplementary to each other add up to 180".
So, we do angle LMN + 40 = 180
Angle LMN = (180 - 40) = 140
#teamtrees #WAP (Water And Plant)
Here is a triangle with the height on the side of the triangle. Use the formula: (1/2)*(Base)*(Height) to find the area of the triangle at the left.
(If one square on the graph = one centimeter)
b = 10cm
b = 10cmh = 10cm
Area:
[tex] = \frac{1}{2} \times b \times \: h[/tex]
[tex] = \frac{1}{2 } \times 10 \times 10[/tex]
[tex] = \frac{1}{2} \times 100[/tex]
[tex] = 50 {cm}^{2} [/tex]
Fill in the blanks below in order to justify whether or not the mapping shown represents a function
(Will mark brainliest)
Answer:
kk 12
Step-by-step explanation:
Answer:
Step-by-step explanation:
Set A:
-2
2
3
-4
Set B:
1
6
-1
**** -2 goes with 6
2 goes with -1
3 goes with 1
-4 goes with1
What is 8b - ab + 7a subtracted from 3a - 9ab + b?
Answer:
10a-10ab-7b
Step-by-step explanation:
i dont feel like putting the steps but ik this is correct
The answer is -4a -8ab -7b after subtracting 8b - ab + 7a from 3a - 9ab + b.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have two expressions:
8b - ab + 7a and 3a - 9ab + b
After subtracting:
= (3a - 9ab + b) - (8b - ab + 7a)
= -4a -8ab -7b
Thus, the answer is -4a -8ab -7b after subtracting 8b - ab + 7a from 3a - 9ab + b.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
What is the measure of
Yo can I get some help with this !
Answer:
45
Step-by-step explanation:
Answer:
a = 45
b = 15
Step-by-step explanation:
From the information given, you can deduce that both ΔPQR and ΔPSR are isosceles triangles that share base PR. This means that ∠a = ∠SRP because the base angles of an isosceles triangle are always congruent.
Because the vertex of ΔPSR is 90°, you know that the base angles add up to 90 because 180(sum of a triangle's angles) - 90 = 90. 90/2 = 45, so a = 45.
To find b, you need to subtract the base angle of ΔPSR from the base angle of ΔPQR. ΔPQR's base angle is 60, because 180 - 60 = 120 and 120/2 = 60. 60 - 45 = 15, so b = 15.
(1 /a+ 1/b) (a+b-c)+(1/b+1/c) (b+c-a) + (1/c+1/a)(c+a-b)
plz solve this question
Answer:
(1 /a+ 1/b) (a+b-c)+(1/b+1/c) (b+c-a) + (1/c+1/a)(c+a-b)
plz solve this question
Step-by-step explanation:
3 is the ans
Solve for k
Please help!
Answer:
k = 0.3
Step-by-step explanation:
Multiply both sides by 2 * k
3 = 5 * 2*k Combine like terms on the right
3 = 10 * k Divide by 10
k = 3/10
k = 0.3
Max's desk is 34 inches tall. There are approximately 2.54 centimeters in 1 inch.
Which of the following best represents the height of Max's desk in centimeters?
5. Write the equation in slope-intercept form. 6x + 9y = 27
Answer:
y= -6/9 x + 3
Step-by-step explanation:
subtract 6x from both sides
9y = -6x + 27
divide by 9
y= -6/9 x + 3
Answer:
Step-by-step explanation:
6x + 9y = 27
9y = -6x + 27
y = -[tex]\frac{6}{9}[/tex]x + 3
y = - [tex]\frac{2}{3}[/tex]x + 3
Which of these strategies would eliminate a variable in the system of equations?
\begin{cases} 6x + 5y = 1 \\\\ 6x - 5y = 7 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
6x+5y=1
6x−5y=7
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
Subtract the bottom equation from the top equation.
(Choice B)
B
Add the equations.
(Choice C)
C
Multiply the top equation by 777, then subtract the bottom equation from the top equation.
9514 1404 393
Answer:
A Subtract the bottom equation from the top equation.B Add the equations.Step-by-step explanation:
The x-terms are the same in each equation, so subtracting one equation from the other will eliminate the x-variable.
The y-terms are opposites in the two equations, so adding the two equations will eliminate the y-variable.
Both strategies (subtracting, adding) are applicable to this system of equations.
Please show your work and solve the proportion!
Answer:
x = 1/9
Step-by-step explanation:
we want to solve the proportion;
we simply cross multiply the values
Mathematically, that will be calculated as follows;
6x * 21 = 2 * 7
6x * 21 = 14
6x = 14/21
2(3x) = 2(7/21)
3x = 7/21
3x = 1/3
x = 1/3/3
x = 1/9
3(4x+8) + 3(2x - 6)
Match the equivalent expressions
Answer:=18x+6
Step-by-step explanation:
3(4x+8)+3(2x-6)
12x+24+6x-18
12x+6x+24-18
18x+6
Write 1.26% as a
precent and fraction
Answer:
126%
Step-by-step explanation:
Answer: 126/100 126%
Step-by-step explanation:
Solve the following system.
5x - 5y + 8z = 6
x + 2y + z = 12
3y - z = 10
The answer is (2,4,2)
if 3 pipes can fill the tank completely in 2 hour then when will 1 pipe fill the tank
Answer:
6 hours
Step-by-step explanation:
Two angles of a Triangle measure 55° and 22° What is the measure of the third angle of the triangle
A. 15°
B. 90°
C. 105°
D. 285°
Answer:
c would be the closest
Step-by-step explanation:
All triangles equal 180*. so if you combine the 2 angles, which adds up to 77* then that would leave the third angle to be 103* but since that isnt an option choose c since its the closest.
Order the sides of each triangle from shortest to longest
WILL GIVE BRAINLIEST!!
Which statement describes the transformation of M to circle N?
A. The circle was translated down 5 units and dilated by a factor of 1/2
B.The circle was translated down in 1 unit and dilated by a factor of 2
C. The circle was translated down 5 units in dilated by factor of 1/3
D. The circle was translated down in 1 unit and dilated by a factor of 3
Answer:
C. The circle was translated down 5 units in dilated by factor of 1/3
Step-by-step explanation:
The circle was translated down 5 units in dilated by factor of 1/3
Answer:
C
Step-by-step explanation:
Find the slope of a line parallel to each given line
Answer:
Slope: 1
Step-by-step explanation:
y = mx + b
m = Slope
y = x - 4
m = 1
The equation f = V + at represents the final velocity of an object, f, with an initial velocity, w, and an acceleration rate,
a, over time, t. Which is an equivalent equation solved for a?
Of-v=a
Of-vra
1
Of+V = a
o+v=a
Answer:
hey
Step-by-step explanation:
the answer is 5
please help me answer this i will give brainliest and 5 star rating!!
Help i'll give you brainliest
Answer:Step-by-step explanation:
the first one and third one