Answer:
check explanation
Step-by-step explanation:
in eqn 2,
y = 3 - 2x
substitute for it in eqn 1
3x² + y² = 20
3x² + (3 - 2x)² = 20
3x² + 9 - 12x + 4x² = 20
Group like terms;
3x² + 4x² - 12x = 20 -9
7x² - 12x = 11
x(7x - 12) = 11
x = 11,
OR
7x - 12 = 11
7x = 11 + 12
7x = 23
x = 23/7
x = 3.286
To get y, substitute for x in eqn 2
WHEN x = 11,
y = 3 - 2(11)
y = 3 - 22
y = -19
WHEN x = 3.286
y = 3 - 2(3.386)
y = -3.772
y=–6x+2
–12x – 2y=–4
How many solutions does this linear system have?
one solution: (0, 0)
one solution: (1, –4)
no solution
infinite number of solutions
Answer:
infinite number of solutions
Step-by-step explanation:
-12x - 2y = -4.
add 12x on both sides
-2y = 12x -4.
divide by -2
y = -6x + 2
Answer: D. Infinite number of solutions.
Step-by-step explanation: On Edge!
Solve the following equation:
14a – (2a + 9) = {(12a - 18)
a =
Answer:
no solution
Step-by-step explanation:
14a – (2a + 9) = (12a - 18)
Distribute the minus sign
14a – 2a - 9 = (12a - 18)
12a -9 = 12a -18
Subtract 12a from each side
12a -9-12a = 12a-18-12a
-9 = -18
This is not a true statement so there is no solution
1Use the Zero Product Property to solve for x.
a. (x +13)(x - 7) = 0
b. (2x+ 3)(3x - 7) = 0
C. x(x-3) = 0
d. x^2 – 5x = 0
e. x^2 – 2x – 35 = 0
f. 3x^2 + 14x - 5 = 0
a. x + 13 = 0
x = -13
x-7= 0
x= 7
b. 2x +3 = 0
2x = -3
x= -3/2 or -1.5
3x -7 = 0
3x = 7
x = 7/3
c. x = 0
or x = 3
these you have to change it into that form first
d. x= 5
or x = 0
e. x= 7
or x = -5
f. x = 1/3 or -5
An object travels back and forth along a straight line. Its velocity, in centimeters per second, is given by the
function v(t)
= 13 sin(pi/(45)t), where t is time in seconds.
What is the maximum velocity of the object?
O 0 cm/s
O 13 cm/s
O 26 cm/s
O 90 cm/s
A function in mathematics is a relation between two sets such that each element of the first set is matched to exactly one of the second set element
The correct option for the maximum velocity of the object is the option;
13 cm/s
The reason for the selection is as follows:
The known parameters of the motion of the vehicle are:
The type motion of the vehicle = Repetitive back and forth
The path of the motion of the object = Along a straight line
The function that gives the velocity in centimeters per second (cm/s) is given as follows;
[tex]v(t) = \mathbf{13 \cdot sin \left(\dfrac{\pi}{45} \cdot t \right)}[/tex]
Where;
t = The time in seconds (a set of the input variables of the function)
v(t) = The velocity of the object (the output variables of the function)
The velocity of the object, v(t), depends (is given by) on the time t, therefore;
The maximum velocity is given at a particular value of t, which together with [tex]\dfrac{\pi}{45}[/tex] is operated by the sine function
The maximum output value of the sine function = 1, therefore;
[tex]\mathbf{Maximum \ value \ of \ sin \left(\dfrac{\pi}{45} \cdot t \right)_{max}} = 1[/tex]
[tex]The \ maximum \ velocity \ v(t)_{max}} = 13 \times sin \left(\dfrac{\pi}{45} \cdot t \right)_{max} = 13 \times 1 = \mathbf{ 13}[/tex]
The units of the of the function is cm/s
Therefore, the maximum velocity of the object is 13 cm/s
Learn more about functions here:
https://brainly.com/question/23999020
Answer: B. 13 cm/s
Step-by-step explanation:
What is the sum of 5 numbers whose average is 5 more than 5?
Answer:
The sum of 5 numbers with an average of 5 more than 5 is 50
Step-by-step explanation:
Let the first five letters of the alphabet be equal to the 5 numbers being summed.
Let the average be represented by the following equation:
[tex]\frac{a + b + c + d + e}{5} = 10[/tex]
To find the sum, we should get rid of the denominator. To do that we multiply 5 on both sides
[tex]\frac{a + b + c + d + e}{5} (5) = 10(5)\\a + b + c + d + e = 50[/tex]
Therefore, we see to it that the sum of the 5 numbers is 50.
Help anyone can help me do this question,I will mark brainlest.
Your answer is in the attachment .
Note: I have only done upto q.n d because you haven't clearly uploaded question of no. e. stay blessed !!!!!!
4 1/6 = 3 1/3c
WAHT?!? HOW IN THE WORLD DO YOU EVEN DO THIS?!?
Answer:
1 1/4 =c
Step-by-step explanation:
4 1/6 = 3 1/3c
Change the mixed numbers to improper numbers
4 1/6 = ( 6*4+1)/6 =25/6
3 1/3 = ( 3*3+1)/3 = 10/3
25/6 = 10/3c
Multiply each side by 3/10
25/6 * 3/10 = 10/3c * 3/10
3/6 * 25/10 = c
1/2 * 5/2 =c
5/4 =c
Change back to a mixed number
1 1/4 =c
(help pls), What numbers are a distance of 68 unit from 18 on a number line?
Select the locations on the number line to plot the points.
Shevonia wants to decrease her energy bill by 189. If her
electric bill is currently $348 a month, what will her bill be
if she is successful?
Answer:
$159
Step-by-step explanation:
$348-189
=$159
helpppppppppppppppppppppppppppppppppppppppppp
Answer:
1) C. 8x + 2x = 10x2) z = 53) y = 104) x = 1/25) x = 176) C. 1/4x + 4 = 3Step-by-step explanation:1. C. 8x + 2x = 10x2. 3z - 2 = 133z = 13 + 23z = 15z = 53. -5y - 10 = -60-5y = -60 + 10-5y = -50y = 104. 4x - 5 + 2x = -24x + 2x = -2 + 56x = 3x = 1/25. x - 8/3 = 3x - 8 = 9x = 9 + 8x = 176. C. 1/4x + 4 = 3(1/4 × -4/1) + 4 = 3-1 + 4 = 3[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
28 + 2h = 2h + 6. What does “h” equal?
2h – 2h = 28-6 —> 0 = 22
It cannot be solved because 2h -2h equals zero, so there is no h .
I need help solving this systems of equations problemn
Answer:
thequantity in column b is greater
Step-by-step explanation:
7a+b=33......(1)
3a-b=7.........(2)
(1)+(2)
7a+b+3a-b=33+7
10a+b-b=40
10a=40
a=4
in equation (1)
7*4+b=33
28+b=33
b=33-28
b=5
b>a
Point Q is the image of Q (0,6) under the translation (x,y) (x+7,y-5)
What are the coordinates of Q?
Answer
7, 1
Step-by-step explanation:
do math
Denver is 5,280 ft above sea level. Stone Mountain is 1,686 ft above sea level. How much higher is
Denver than Stone Mountain? Explain how you got your answer.
Answer:
3,594
Step-by-step explanation:
It is asking *than* which means subtraction. so simply subtract and you get the answer
not hard!
solve for u
-u + 114 = 262
PLEASE WITCHER3
Hi ;-)
[tex]-u+114=262\\\\-u=262-114\\\\-u=148 \ \ /:(-1)\\\\\huge\boxed{u=-148}[/tex]
Answer:
[tex] - u + 114 = 262 \\ u = 114 - 262 \\ u = - 148 \\ thank \: you[/tex]
I will give brainliest to correct answer
-2^2(-5x+10)=100 solve for x
Answer:
x = 7 would be the correct answer to your question.
I hope this helped! :D
What’s m=y2-y1 divided by x2-x1 for Y2
Answer:
slope formula
Step-by-step explanation:
how can i solve that equation
Answer:
C and E
Step-by-step explanation:
[tex]3 \tan( \beta ) = 2. \: \: \: \: \tan( \beta ) = \frac{2}{3} [/tex]
[tex] \frac{h}{x} = \tan( \beta ) = \frac{2}{3} [/tex]
[tex]if \: \: h = 2 \: \: \: x = 3 \: \: \: and \: \: \: t = \sqrt{ {h}^{2} + x } [/tex]
C. [tex]t = \sqrt{13} [/tex] ✅
○♧○♧○♧○♧○♧○♧○♧○♧○♧○♧○♧○
[tex] if \: \: \: h = 4 \: \: \: \: x = 6 \: \: \: and \: \: \: t = \sqrt{ {h}^{2} + {x}^{2} } [/tex]
E. [tex]t = 2 \sqrt{13} [/tex] ✅
find the value p with working
Answer:
64/672/882(986)*866772
How much money does an employee working
for a salary of $52,000 per year get paid
monthly?
A. $52,000 per month
B. $1,000 per month
C. $2,000 per month
D. $4,333 per month
Answer:
433
Step-by-step explanation:
433. . . . . . . ............,.. srry it made me write this much to answer
Answer:
The correct answer would be D!Step-by-step explanation:
Employee's salary: $52,000
Months in a year: 12
52000 / 12 = 4,333.333(r)
Closest answer: D
Need help on this hm THE MIDDLE ONE
Answer:
{0, 1, -1}
Step-by-step explanation:
2x - 6 = 3x + 1 - x - 7
2x - 6 = 2x - 6
0 gives you -6 = -6
1 gives you -4 = -4
-1 gives you -8 = -8
What is the value of x?
B
170
O x = 55°
O x = 60°
O x = 70°
X
С
O x = 110°
A
Which table represents a linear function
Answer: Top right.
Step-by-step explanation:
After plotting the points on a graph, you will see that the points create a negative linear function.
b) Convert 101, into denary number
If 101 is given in base b, then in base 10 you have
[tex]101_b = 1\times b^2 + 0\times b^1 + 1\times b^0 = b^2 + 1[/tex]
For instance, if b = 2, then
101₂ = 2² + 1 = 5₁₀
If b = 3, then
101₃ = 3² + 1 = 9₁₀
If b = 4, then
101₄ = 4² + 1 = 17₁₀
The answer depends entirely on the base of the given number.
Write an algebraic expression for each verbal expression. 1. the sum of k and 8
2. 17 less than a number x times 9
6. four times the difference of a cubed and 8
PLZ HELP ASAP
Answer:
k + 8 = y
9x - 17
4(x²-8)
What is the transformation shown in the graph?
6
c
A
360° rotation
180° rotation
90° rotation
reflection
Answer:
Reflection is shown in the graph.
4. Find a pair of irrational numbers whose product is an integer.
Answer:
√2 and √3
Step-by-step explanation:
Answer:
Step-by-step explanation:
√2 and 5√2 are two irrational numbers
√2 * 5√2 = [tex]5*\sqrt{2*2} = 5 * 2 = 10[/tex]
and here 10 is an integer
Half the difference of a number n and 20 is 30. What is the number?
Answer:
80Step-by-step explanation:
Half the difference of a number n and 20 ⇒ (n - 20)/2... is 30 ⇒ = 30Solve the equation for n:
(n - 20)/2 = 30n - 20 = 30*2n - 20 = 60n = 60 + 20n = 80The number is 80
Answer:
Number is 40
Step-by-step explanation:
Let the number be n
(n - 20)/2 = 30
(n - 20) = 2 × 30
n = (2 × 30) + 20
n = 60 + 20
n = 80
Bananas are $0.59/pound what is the constant of proportionality?
Answer:
Step-by-step explanation:
y = k x
Total cost = y
number of pounds = x
constant = 0.59
Equation
y = 0.59 x
what is the value of x when the distance between the points (-2,-3) (-3,x) is equal to 5
Answer:
(-3,-4)
Step-by-step explanation:
