Answer:
a = -2 and p = 4.
Step-by-step explanation:
x²+2(3x+p)=0
x^2 + 6x + 2p = 0
For the general equation ax^2 + bx + c = 0, the sum of roots = -b/a and their product = c / a.
So here we have:
Sum of the roots:
a + 2a = -6/1 = -6
Product of the roots = 2a^2 = 2p/1 = 2p..
So 3a = -6 and
a = -2.
and
2(-2)^2 = 2p
8 = 2p
p = (-2)^2 = 4.
Answer:
see explanation
Step-by-step explanation:
Since x = a and x = 2a are roots, then substitute these values into the equation.
x = a
a² + 2(3a + p) = 0, that is
a² + 6a + 2p = 0 → (1)
x = 2a
(2a)² + 2(3(2a) + p) = 0
4a² + 12a + 2p = 0 → (2)
Solving simultaneously
Subtract (1) from (2) term by term to eliminate p
3a² + 6a = 0 ← in standard form
3a(a + 2) = 0 ← in factored form
Equate each factor to zero and solve for a
3a = 0 ⇒ a = 0
a + 2 = 0 ⇒ a = - 2
Since a ≠ 0 then a = - 2
Substitute a = - 2 into either of the 2 equations and solve for p
substituting into (1)
(- 2)² + 6(- 2) + 2p = 0
4 - 12 + 2p = 0
- 8 + 2p = 0 ( add 8 to both sides )
2p = 8 ( divide both sides by 2 )
p = 4
Thus a = - 2 and p = 4
--------------------------------------------
a + 1 = - 2 + 1 = - 1
a - 5 = - 2 - 5 = - 7
If x = - 1 and x = - 7 are roots then the corresponding factors are
(x + 1) and (x + 7) and the quadratic equation is the product of the factors, that is
(x + 1)(x + 7) = 0 ← expand left side using FOIL
x² + 8x + 7 = 0
V = BH - 5
How do I solve for b in this equation
Answer:
[tex]B=\frac{V+5}{H}[/tex]
Step-by-step explanation:
Add 5 to both sides:
V+5=BH
Divide both sides by H:
[tex]B=\frac{V+5}{H}[/tex]
Write an equation in slope-intercept form of the line with slope −4/5 that contains the point (−5,−4)
.
y=−45x−5
y=−4/5x−8
y=−4/5x−4
y=−4/5x+4
Our point is (-5, -4)
Now use point slope form to find the equation: (y - y1) = m(x - x1)
(y - y1) = m(x - x1)
(y - (-4)) =-4/5(x - (-5))
y + 4 = -4/5x +4
An equation in slope-intercept form of the line is y = -4/5x - 8. The correct option is B.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the slope −4/5 contains the point (−5,−4). The equation of the line is written as,
y = mx + c
-4 = -4/5 x - 5 + c
-4 = 4 + c
c = -8
The equation will be written as,
y = -4/5x - 8
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What type of number can √134 be classified as?
A) irrational number
B) Rational number
C) integer
D) whole number
What type of number is 0 classified as?
A) Irrational number
B) Whole number
C) Integer
Answer:
[tex] \sqrt{134 } = irrational \\ 0 = whole \: no. \: and \: integer. \\ hope \: it \: helps \\ plzz \: mark \: as \: brainliest....[/tex]
:-)HELP ME!!!!!!!! Which choice represents the fraction below as a single exponential expression? This is unit is The Division Law of Exponents.
2 w = 2p - 3z
a Find w when p = 8 and z = -2
Answer:
11
Step-by-step explanation:
2w = 2×8 - (-2×3)
2w = 16 - (-6)
2w = 22
w = 11
What is the equation of the top line graphed below?
Answer:
I think it has to y=mx+b
Step-by-step explanation:
Nikki Grows 20 Tomato plants. She measures their heights to the nearest centimetre, and writes them down
Answer:
ok? what am i supposed to do
Step-by-step explanation:
Answer:
The answers are 2, 6, 10, 2.
Step-by-step explanation:
Mariah025 answer here please
Answer:
wht
!?
............
..............
..
.
Answer the following Question with Appropriate Explanation
Answer:
option is B)
Step-by-step explanation:
2x is a perfect square. but x is not a perfect square, this brings us to the conclusion tht prob x is 2.
2x = 4
hence correct option is B) 4x is a perfect square, as 4x4=16, which is a perfect square...
Ellie bought a pair of jeans on sale for 15% off. If the jeans were originally $35, how much did she save?
Answer:5.25
Step-by-step explanation:
1) Choose the correct answer.
The ___ of two sets is the set of elements that could be found in both sets at the same time.
intersection
union
conjunction
disjunction
Answer:
Intersection
Step-by-step explanation:
The intersection of two set A and B is defined as the elements which can be found in both set A and set B.
For instance :
A = {1, 3, 5, 7, 9, 11}
B = {2, 4, 6, 7, 8, 9, 10}
The intersection of the two sets A and B denoted as ;
AnB = {7, 9}
what is 1/2x + 8 < -4 ?
Answer:
-1/24 < x < 0
Step-by-step explanation:
function or not a function?
Answer:
not a function
Step-by-step explanation:
there are two of the same inputs 4 and 4 that will cause it to not be a function
At a local fair, Molly sells bracelets. It costs her
$10 per bracelet for supplies and the local marke
charges her a one-time booth fee of $60. She
charges $20 for each bracelet.
a) Write a system of equations to represent this
situation (one equation for expenses and one
equation for income):
Answer:
10x + 60 ; 20x
Step-by-step explanation:
Given that:
Purchase price per bracelet = $10
Cost of booth = $60
Selling price per bracelet = $20
Hence,
Let number of bracelets = x
Expense equation :
(Price per bracelet * number of bracelet) + booth fee
(10 * x) + 60
10x + 60
Income equation :
Selling price * number of bracelets
20x
Which expression is equivalent to sqrt 2x^5/18 assume x is greater than or equal to 0
Answer:
[tex]\sqrt{\frac{2x^{5} }{18} }[/tex] = [tex]\frac{\sqrt{x^{5} } }{3}[/tex]
Step-by-step explanation:
Given expression
[tex]\sqrt{\frac{2x^{5} }{18} }[/tex]
we know that the algebra formula
[tex]\sqrt{\frac{a}{b} } = \frac{\sqrt{a} }{\sqrt{b} }[/tex]
[tex]\sqrt{\frac{2x^{5} }{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{9} \sqrt{2} }[/tex]
= [tex]\frac{\sqrt{x^{5} } }{3}[/tex]
Find the missing side length, N.
We know these triangles are congruent with the missing side, N would be equal to 15.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We know these triangles are congruent.
To find the missing side, N
ΔABC ≅ΔQRS
AC/QS = BC/RS
2/5 = 6/n
n = 6 x 5/2
n = 30/2
n = 15
Thus, the value of N is 15.
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Please help. I need to refresh my mind of this problem and a few more if you don't mind
Answer: c
Step-by-step explanation:
look at the equation and insert the value of X from the table into the equation and figure out which one will give you the same sum for the values. for example f(x) = 3(-2)-1
this answer gives you f(x)= -6 -1 which will give u a sum of -7
another one : f(x)= 3(0)-1
3 multiplied by 0 gives you 0 therefore you are left with -1
by doing this you prove that this equation works with ur x values and gives you the same sum you have for f(x)
WILL GIVE BRAINLIEST!!!!!!!!!!
A sandcastle can be modeled with four 6-inch-tall square prisms, one on top of the other, as shown in the figure below.
The base of the bottom prism has a side length of 30 inches, and the base of each of the other three prisms has a side length 7 inches less than the side length of the base of the prism below it. What is the volume of the sand castle?
Answer:
A 2808
Step-by-step explanation:
From top to bottom
The top one is 9
Second layer is 16
Third is 23
Bottom is 30
I did 9 x 6, 16 x 6, 23 x 6, 30 x 6 = 54, 96, 138, 180
Added all of them up and got 468 then I times it by 6 and got 2808
Heyo! ;D
The volume of the sandcastle above is 10,596 cubic inches.
Hope this helped! If so, please lmk! Tysm and good luck!
Find the slope of the line that passes through A(0, -5) and B(3,-4)
Answer:
1/3
Step-by-step explanation:
(-4-(-5))/(3-0) = 1/3
delta math help plz im stuck
Step-by-step explanation:
-70x^4 + 30x
= 10x(-7x^3 + 3)
ANSWER: 10x(-7x^3 + 3)
Tim has m dollars. Rebecca has $6 less than times the number of dollars that Tim has. Which expression represents the total amount of money that Tim and Rebecca have? If Tim has $70, how much money do Rebecca and Tim have altogether?
Answer:
$71
Step-by-step explanation:
Tim has M dollars
Rebecca is having (M/10 - 6)
Then, the amount of money Tim and Rebecca are having
= M + M/10 - 6
= (11M/10) - 6 dollars
The expression representing the total amount of money is [(11X/10) - 6]
If Tim is having $70, then total amount both would have together
= [(11 × 70/10) - 6]
= 77 - 6
= $71
Therefore, the expression for the total amount is [(11M/10) - 6] dollars
The total amount both are having together is $71.
Answer:
B. The expression is 11/10m – 6, and the amount is $71.
Step-by-step explanation:
i'll mark brainliest just tell me how to.
Answer:
a = 12
b = 2
c = 11
Step-by-step explanation:
[tex] \frac{( {x}^{5}y {z}^{4} )^{3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{5 \times 3}y^{3} {z}^{4 \times 3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{15}y^{3} {z}^{12} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{15 - 3} {y}^{3 - 1} {z}^{12 - 1} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{12} {y}^{2} {z}^{11} = {x}^{a} {y}^{b} {z}^{c} \\ \\ equating \: like \: terms \: from \: both \: sides \\ \\ {x}^{12} = {x}^{a} \: \implies \: a = \boxed{ 12}\\ \\ {y}^{2} = {y}^{b} \: \implies \: b = \boxed{ 2} \\ \\ {z}^{11} = {z}^{c} \: \implies \: c = \boxed{ 11}[/tex]
Start by finding the scale of this map. At the actual gym, one side length of the snack stand is 60 feet. On the scale map, it is 20 cm. What is the scale?
Answer:
I actual foot represents 0.01093 foot on paper
Step-by-step explanation:
Given that :
Actual side length of snack stand = 60 feets
Length of side on map = 20cm
Scaie :
60 feet = 20cm
1 foot = (20/60) cm
1 foot = 0.333 cm
1cm = 0.0328084 foot
0.333cm = (0.33 * 0.0328084) = 0.01093 feets
Scale :
I actual foot represents 0.01093 foot on paper
Write the equation of the line that passes through the given points.
(0,- 4) and (2,3)
The equation of the line is( )
Answer:
[tex] \frac{y - ( - 4)}{x - 0} = \frac{3 - ( - 4)}{2 - 0} \\ \frac{y + 4}{x} = \frac{3 + 4}{2} \\ \frac{y + 4}{x} = \frac{7}{2} \\ 2(y + 4) = 7x \\ 7x = 2y + 8 \\ 7x - 2y = 8 \\ 2y = 7x - 8 \\ \boxed{y = \frac{7}{2}x - 4}[/tex]
y=(7/2)x-4 is the right answer.Pls help and show workings
Step-by-step explanation:
AB = 72 so, then FB would be half of that
so 72 divided by 2 would be 36
5x+1=36 then do substitution
-1 from both sides (from +1 you gotta do the inverse)
5x = 35
divide 5 from both sides because in between 5 and x is a times so the inverse of that is divide
x = 7
Need help with these
Answer:
3x
7-k
m/4
(5x)+12
Step-by-step explanation:
most of the words like and are just fillers. and basically means together in this instance
6x + 57= 135 solve x
Answer:
can't find answer sorry
The lines graphed below are perpendicular. The slope of the red line is
What is the slope of the green line?
Answer:
Is there a picture for this one and also you didn't mention the slope of the red line is?
Step-by-step explanation:
Answer:
The slope of the Green line should be the same as the red line- but a negative number instead of a positive.
Step-by-step explanation:
This is the inverse of the line
So by reflecting it over the y-axis, the slope remains the same but will change from positive to negative and vise versa
Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?
The values of both x and y can be any real number.
The values of both x and y will be real numbers greater than or equal to 0.
The value of x and y will always be zero
The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.
Answer:
B - The values of both x and y will be real numbers greater than or equal to 0.
The answer choice that best describes the values of x and y is B - The values of both x and y will be real numbers greater than or equal to 0.
Calculations and Parameters:Given that peaches are being sold for $2 per lb.
If we define x as the number of pounds that you buy, and y as the cost of these peaches, we can write the function:
y = $2*x
Therefore, the best description of the values of x and y is found in option B. The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.
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What is the value of 7(4 + x) when x = 5?
Answer:
63
Step-by-step explanation:
7(4+x)
Distribute: 28 + 7x
Substitute: 28 + 7(5)
Simplify: 28 + 35
Simplify: 63