Answer:
R(-1,-9) But I know if the answer is correct or not
Step-by-step explanation:
I need help as soon as possible pleaseeeeeee!!!!!!!
Find the root(s) or zero(s) of the function.
Answer:
-1/2 , 3
Step-by-step explanation:
In order to find the roots of the function 2x² - 5x - 3
We have to solve the quadratic equation :
2x² - 5x - 3 = 0
Calculating the discriminant Δ :
Δ = b² - 4ac
= (-5)² - 4(2)(-3)
= 25 + 24
= 49
Then
√Δ = √49 = 7
Determining the Zeros :
[tex]x=\frac{-b+\sqrt{b^{2}-4ac} }{2a} = \frac{5+7} {2 \times (2)} =\frac{12}{4} =3[/tex]
or
[tex]x=\frac{-b-\sqrt{b^{2}-4ac} }{2a} = \frac{5-7} {2 \times (2)} =\frac{-2}{4} =\frac{-1}{2}[/tex]
(1.) Find the equation of the line passing through the points (-4,-6 ) and (-5,5).
(2.) Find the equation of the line with slope -8 that passes through the point (3, -8).
Answer:
1) y=-11x-50 2)y=-8x+16
Step-by-step explanation:
1. y=mx+b- it is the main equation for a line'
If we take the first point and use its coordinates we have -6=-4m+b
If we take the second point and use its coordinates we have 5=5m+b
These equations are simultaneous for our line because the line passes through both points
-6=-4m+b
5=-5m+b
If subtract the second one from the first equation
-6-5= -4m+b- (-5m+b)
-11= m
b= -6-44=-50
y=-11x-50
2) y=mx+b
-8=-8*3+b
b=16
y=-8x+16
What is the solution set to the following equation?
Answer:
3,6
Step-by-step explanation:
2n + n/9 = 9
What is n?
[ the equation is in the box I drew]
Answer:
n = 27
Step-by-step explanation:
(2n + 9) / 9 = 9
multiply both sides by 9
3n = 81
/3 /3
-------------
n = 27
Answer:
n = 27
Step-by-step explanation:
(2n + n)÷9 = 9
multiply both side by 9
(2n + n) = 81
3n = 81
Divide both sides by 3
3n/3 = 81/3
n = 27
Which of the following is a basic equation?
A.b + 3 = 5
B.O (2, 3)
C .O y-axis
D .3+6
Answer:
A. b + 3 = 5[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Simplify -4+8-2 and 8-(-3)-5
Answer:
-2 and 6
Step-by-step explanation:
[tex] - 4 + 8 - 2[/tex]
[tex] - 6 + 8[/tex]
[tex] = - 2[/tex]
○●○●○●○●○●○●○●○●○●○●○●○●○●○
[tex]8 - ( - 3) - 5[/tex]
[tex]8 + 3 - 5[/tex]
[tex] = 6[/tex]
√20x²•√20x
PLEASE SHOW STEP BY STEP ON HOW YOU GOT THE ANSWER
Answer:
[tex]20x\sqrt{x}[/tex]
Step-by-step explanation:
[tex]\sqrt{20x^{2} }[/tex] × [tex]\sqrt{20x}[/tex]
= [tex]\sqrt{20x^{2} * 20x }[/tex] | * = ×
=[tex]\sqrt{400x^{3} }[/tex]
=[tex]20x\sqrt{x}[/tex]
Find two given numbers in a given ratio such that the sum of their squares is to their difference in a given ratio. Ratios being 3 : 1 and 10 : 1.
Answer: a=6 and b=2
Step-by-step explanation:
Let say A and b the 2 numbers.
[tex]\dfrac{a}{b} =\dfrac{3}{1} \Longrightarrow\ a=3b\\\\\dfrac{a^2+b^2}{a-b} =\dfrac{10}{1} \Longrightarrow\ (3b)^2+b^2=10*(3b-b)\\\\\Longrightarrow\ 10*b^2=10*2b\\\\\Longrightarrow\ b=2\\\\\Longrightarrow\ a=6\\\\[/tex]
Write a function rulle
Hey, there! Based on the table from the picture, every hour increased is $6 increased for the cost of the rental.
First hour: $10
Second hour: $16
Third hour: $22
Fourth hour: $28
So, final answer is:
+1 hour=+$6.
Anyways, I hope this helps! Enjoy your day! Take care!
if p(x) = 6x³ + 5x² + 7x - 5, find the coefficient of x³
Answer:
6x
Step-by-step explanation:
because in front of x^3 there is 6x and also the qn has asked to find the coefficient of x^3
Answer:
It is 6
Step-by-step explanation:
take an example:
[tex]a {x}^{3} + {bx}^{2} + cx + d[/tex]
a, b, and c are coefficients of x³, x², and x respectively.
d is a constant.
A=1/2pie r squared solve for pie
Answer:
[tex]A = \frac{1}{2} \pi r [/tex]
multiply all sides by 2:
[tex]2 \times A = ( \frac{1}{2} \pi r) \times 2 \\ \\ 2A = \pi r[/tex]
divide all sides by r:
[tex] \frac{2A}{r} = \frac{\pi r}{r} \\ \\ \frac{2A}{r} = \pi[/tex]
therefore:
[tex]{ \boxed{ \sf{\pi = \frac{2A}{r} }}}[/tex]
evaluate the expression when x=3
Answer:
3. 15
6. 4
Step-by-step explanation:
Put 3 instead of x
3. 5x
= 5 × 3
= 15
6. 12 ÷ x
= 12 ÷ 3
= 4
Answer:
When X is 3 it will be
5(3)=15
Then for the second one it will be 12/3
The answer is 4
Hope I helped
please solve this question i need help
Answer:
4c/2a 60 degrees 3bf 2ad
Answer:
f=120
b=40
d=140
e=120
c=30
a=30
Calculate the derivative using implicit differentiation:
∂w /∂z,x^(5)w+w^7+wz^2+8yz=0
∂w/ ∂z= ?
Step-by-step explanation:
Given: [tex]x^5w + w^7 + wz^2 + 8yz = 0[/tex]
Taking the partial derivative of the above equation with respect to z, we get
[tex]x^5\dfrac{\partial{w}}{\partial{z}} + 7w^6\dfrac{\partial{w}}{\partial{z}} + z^2\dfrac{\partial{w}}{\partial{z}} + 2z + 8y =0[/tex]
Collecting all terms containing [tex]\frac{\partial{w}}{\partial{z}},[/tex] we get
[tex](x^5 + 7w^6 + z^2)\dfrac{\partial{w}}{\partial{z}} = -2(z + 4y)[/tex]
Then
[tex]\dfrac{\partial{w}}{\partial{z}} = \dfrac{-2(z + 4y)}{x^5 + 7w^6 + z^2}[/tex]
The derivative using implicit differentiation can be calculated and after rearranging the terms.
What is implicit differentiation?Implicit differentiation is the technique in which the derivative of y with respect to x using implicit differentiation without having to solve the supplied equation for y.
We have:
[tex]\rm x^5w+w^7+wz^2+8yz=0[/tex]
We have to find the:
= ∂w/ ∂z
[tex]\rm \dfrac{\partial }{\partial z}[\rm x^5w+w^7+wz^2+8yz=0][/tex]
[tex]\rm x^5\dfrac{\partial w}{\partial z} +7w^6\dfrac{\partial w}{\partial z}+z^2\dfrac{\partial w}{\partial z}+2z+8y=0[/tex]
After rearranging the terms:
[tex]\rm (x^5 +7w^6+z^2)\dfrac{\partial w}{\partial z}= -2(z+4y)[/tex]
[tex]\rm \dfrac{\partial w}{\partial z}= \dfrac{-2(z+4y)}{x^5 +7w^6+z^2}[/tex]
Thus, the derivative using implicit differentiation can be calculated and after rearranging the terms.
Learn more about the implicit differentiation here:
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मच्ने costing Rs 10,000 is depreciated at 15% per annum find the value of maths in after 1 year?
Answer:
8500
Step-by-step explanation:
depreciation=10000×15%=1500
initial cost = 10000
final cost = initial cost- depreciation
=10000-1500
=8500
18. Solve x^2+ 6x - 16 = 0 by completing the square.
Please give detailed steps!!
Answer:
x1 = -8, x2= 2
Step-by-step explanation:
1. Write 6x as a difference
= x^2 + 8x - 2x - 16 = 0
2. Factor the expressions
= x ( x + 8 ) - 2x - 16 = 0
= x ( x + 8 ) - 2 ( x + 8 ) = 0
Factor out x + 8 from the expression
= ( x + 8 ) ( x - 2 ) = 0
3. When the product of factors = 0, at least one factor is 0
x + 8 = 0
x - 2 = 0
4. Solve the equation for x
x = - 8
x = 2
Therefore, the equation has 2 solutions :
x1 = -8, x2 = 2
Which expression represents -8x^2+54x+140 in factored form?
A. (x-70)(-8x+2)
B. (x+1)(8x- 140
C. (x-8)(2x+70)
D. (x+2)(-8x+70)
Answer:
D. (x+2)(-8x+70)
Step-by-step explanation:
-8x^2+54x+140
Factor out -2
-2(4x^2+27x+70)
Factor
-2(x+2)(4x-35)
Option D is the same answer if we multiply -2 in the second term
(x+2) (-8x+70)
Somebody please help me solve this question. If possible with the explanation as well. Calculate
| 1-x^2 | > 1/2
Answer:
x < -√3/2, x > √3/2, or -√1/2 < x < √1/2
Step-by-step explanation:
|1 - x^2| > 1/2
~Apply absolute value rule
1 - x^2 < -1/2 or 1 - x^2 > 1/2
~Simplify
x < -√3/2, x > √3/2, or -√1/2 < x < √1/2
Best of Luck!
PLS HELP MEE , WILL MARKTHE BRAINLIEST PLS
Step-by-step explanation:
hopefully it is visible and makes sense
:)
Answer:
x=67 degrees
y=63 degrees (vertically opposite angles)
z=32 degrees
Step-by-step explanation:
x=130-63(sum of 2 interior angles of a triangle is equal to the opposite exterior angle)
x=67 degrees
y=63 degrees (vertically opposite angles)
z+y+85=180
z+63+85=180
z+ 148 =180
z =32 degrees
solve for Y: Y=6b+12ab^2 a= 4, b=6
Answer:
1764
Step-by-step explanation:
Y=6b+12ab^2
Let a = 4
b = 6
Y = 6(6) +12 (4)(6)^2
= 36 + 12 (4) (36)
= 36+1728
=1764
Answer:
[tex]\huge\boxed{\sf Y = 1764}[/tex]
Step-by-step explanation:
[tex]Y = 6b+12ab^2\\\\Given \ that \ a = 4 , \ b = 6\\\\Putting \ values\ in \ given \ equation\\\\Y = 6(6) +12(4)(6)^2\\\\Y = 36 + 48(36)\\\\Y = 36 + 1728\\\\Y = 1764\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!A car is traveling at a speed of 99 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will the car travel in 5 minutes? Do not round your answers.
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Please help me with number 2?
Answer:
y= 2× +4
Step-by-step explanation:
Slope intercept form y = mx +b
4x -2y = -8
-2y = -4x-8
y = 2x +4
slope = 2x
y intercept = 4
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and g is the acceleration due to gravity.
(Pls Explain in Simple terms)
Answer:
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh,
The sum of 7/4 and pi i
Hi! I'm happy to help!
To first of all write this expression, we need to know what sum means. Sum means addition, so we are adding. From there, we write it like this:
[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]
This is how you write it.
If you want to solve it, you need to know what pi is. pi is 3.14159...
It goes on forever, but we cane round to the nearest ten thousandth.
From here, you need to turn [tex]\frac{7}{4}[/tex] into a decimal. 4/4 is equal to 1, and 3/4 is equal to 0.75. Together, equal 1.75, or 7/4
Now, we solve our equation:
[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]
[tex]\frac{7}{4}[/tex]+3.14159
1.75+3.14159
4.89159
This is what the answer to the expression is.
I hope this was helpful, keep learning! :D
Write the equation of the line that is parallel to the line y=-7/4x-2 through the point (4,-2)
Answer: D
Step-by-step explanation:
m = - 7/4
Point (4, -2)
y - - 2= -7/4(x-4)
y + 2 = - 7/4x + 7
y = - 7/4x +7-2
y = - 7/4 x + 5
The equation of the line that is parallel to the given line is option (D) [tex]y=-\frac{7}{4}x+5[/tex] is the correct answer.
What is equation of a line?The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.
For the given situation,
The line is [tex]y=-\frac{7}{4} x-2[/tex] ------ (1)
The general equation of line in slope intercept form is
[tex]y = mx + c[/tex] ------ (2)
On comparing the equation 1 and 2, we get the slope as
⇒ [tex]m=-\frac{7}{4}[/tex] and
When two lines are parallel, then the slope of the parallel line is equal to the slope of the given line.
So, the slope of the parallel line is [tex]m = -\frac{7}{4}[/tex]
Thus the equation of the parallel line passing through the point (x1,y1) is (4,-2) as,
⇒ [tex]y-y1=m(x-x1)[/tex]
⇒ [tex]y-(-2)=-\frac{7}{4} (x-4)[/tex]
⇒ [tex]y+2=-\frac{7}{4} (x-4)[/tex]
⇒ [tex]y=-\frac{7}{4}x+\frac{7}{4} (4)-2[/tex]
⇒ [tex]y=-\frac{7}{4}x+7-2[/tex]
⇒ [tex]y=-\frac{7}{4}x+5[/tex]
Hence we can conclude that the equation of the line that is parallel to the given line is option (D) [tex]y=-\frac{7}{4}x+5[/tex] is the correct answer.
Learn more about equation of line here
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In △PQR, sinQ=25, sinR=13, and q=6. Find the side length r.
Can someone please help
Answer:
r = 5
Step-by-step explanation:
the sine rules formula :
sin Q/q = sin R/r
=> r = q× sin R / sin Q
= 6× ⅓ / (2/5)
= 2 /(2/5)
= 2× 5/2
= 5
The measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5
Application of sine rule.According to the rule, the ratio of the sides to the opposite angles is a constant. Mathematically:
p/sinP = q/sinQ = r/sinR
Given the following parameters
sinQ=2/5, sinR=1/3, and q=6.
6/(2/5) = r/(1/3)
30/2 = 3r
15 = 3r
r = 5
Hence the measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5
Learn more on sine rule here: https://brainly.com/question/27174058
Please help me on this homework assignment, 20 points to whoever can help me and give me a good answer. it is asking for the height and the bottom number under the 90 degree angle is 6.
Answer:
h = 3 sqrt(21)
or
h = 13.75
Step-by-step explanation:
The perimeter of the rhombus is 60 feet. Like a square, all the sides of a rhombus are equal. Therefore your first step is to find FK which is a side.
FK = 60/4 = 15 feet.
Now you can use the Pythagorean Theorem.
a^2 + b^2 = c^2
a = 6
b = height or = h
c = 15
6^2 + b^2 = 15^2
36 + b^2 = 225
b^2 = 225 - 36
b^2 = 189
sqrt(b^2)= sqrt(189)
b = sqrt(3 * 3 * 3 * 7) You can take out the square of 3 * 3 and make it 3.
b = 3 * sqrt(3*7)
b = 3 * sqrt(21)
Assume that an investment of $3000 earns an APR of 6% compounded monthly for 18 months.
How much money is in your account after 18 months?
9514 1404 393
Answer:
$3281.79
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.
We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...
A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79
There will be $3281.79 in the account after 18 months.
If Marty spent $66 on movie tickets and one ticket costs $8.25 how many tickets did he buy
Answer:
8 tickets
Step-by-step explanation:
To find how many tickets he bought, we can divide.
66 / 8.25 = 8
Best of Luck!
Answer:
8
Step-by-step explanation:
66 divided by 8.25, bringing it to 8.