Answer:
9=7+a....................equation 1
a+8=b+5................equation 2
equation 1
9=7+a
9-7=a
2=a
a=2
put equation 1 into equation 2
2+8=b+5
10= b+5
10-5= b
5=b
b=5
meaning value of b=5
The value of b is 5 for the given equations 9 = 7 + a and a + 8 = b+5.
What is substitution method?
The substitution method is the algebraic method to solve simultaneous linear equations. In this method, the value of one variable from one equation is substituted in the other equation.
According to the given question we have , two equations
[tex]9 = 7+a...(i)[/tex]
and [tex]a + 8 = b + 5...(ii)[/tex]
From equation (i)
9 = 7 + a
⇒ a = 9 -7
⇒ a = 2
Substitute the value of a in equation (ii)
⇒ 2 + 8 = b + 5
⇒ 10 = b + 5
⇒ b = 10 -5
⇒ b = 5
Hence, the value of b is 5 for the given equations 9 = 7 + a and a + 8 = b+5.
Learn more about substitution method here:
https://brainly.com/question/14619835
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Choose the possible descriptions of cross sections formed by the intersection of a plane and a cylinder.
Answer:
Ellipses (special case is called a circle), hyperbolas, parabolas.
Step-by-step explanation:
These are all conic sections.
A conic section is defined by the cross section of a plane and a double-napped cone. There are other special cases called degenerate conics, which are lines and points (occurs when the equation does not follow the usual pattern, however, these are not considered main conics). The main types of conics are: ellipses, hyperbolas, and parabolas.
The illustration below gives more insight into the question.
I hope this helps.
f(x)=(x-3)^2+5 plot the vertex and the axis of symmetry of this function.
Answer:
The vertex is located at (3,5)
The axis of symmetry is x = 3
The plot is in the image attached
Step-by-step explanation:
First we need to find the vertex of the quadratic function. We can find the x-coordinate of the vertex using the formula:
x_v = -b / 2a
Where 'a' and 'b' are coefficients of the quadratic equation in the model:
ax^2 + bx + c = 0
Then we need to expand the terms of f(x):
f(x) = (x-3)^2 + 5
f(x) = x^2 - 6x + 9 + 5
f(x) = x^2 - 6x + 14
So we have a = 1 and b = -6
Then the x-coordinate of the vertex is:
x_v = 6 / 2 = 3
We can use this value in f(x) to find the y-coordinate of the vertex:
f(x_v) = 3^2 - 6*3 + 14 = 5
So the vertex is located at (3,5)
The axis of symmetry is the vertical line traced in the vertex, so it is x = 3
The plot is in the image attached. The circle at (3,5) is the vertex, and the blue line is the axis of symmetry.
Which expressions are equivalent to
z + (z + 6)?
Choose all answers that apply:
А
(z + 2) + (z + 6)
B
(z + 6) + 6
C
202
z + 3)
The answers are C, and/or A.
I'm not entirely sure, I apologize..
How many imaginary roots can an equation have?
Answer:
Step-by-step explanation:
if it is an even degree polynomial then it can have imaginary roots =degree of polynomial.
if it is an odd degree polynomial (say 2n+1 degree) then it can have at the most 2n imaginary roots.
Which point on the graph represents the y-intercept?
A moving truck company charges a flat fee of $75 to rent the truck, plus $15 per day. 1:What is the total cost (flat fee and daily charge) to use the truck for one day? 2:What is the total cost for x days? C:Graph the cost of the truck rental over a period of 14 days, using days as the units of time. Be sure to label your axes and scale them by labeling each gridline with a number.
Answer:
Step-by-step explanation:
you add 75 to 14 then x that buy 5 then divide by 2
=35x+
75/2
Answer:
see below
Step-by-step explanation:
y = 75+ 15x where x is the number of days and y is the cost
Let x = 1
y = 75+15(1)
y = 90 for one day
for x days
y = 75+15x
A hair stylist can work for 9 hours
a day. A hair color takes 1 hours
and a haircut takes 20 minutes. If
the stylist schedules 3 hair colors
each day, which inequality
represents the number of haircuts,
c, that he can do?
A.)20c + 3(1.5) < 9
B.)c ≥
C.)20c ≤ 4.5
D.)c + ≤ 9
Answer:
I believe its A
Step-by-step explanation:
Can somebody please help me with c? Thanks.
Answer:
1300
Step-by-step explanation:
2600 x 0.5= 1300
Solve for x. 5x - 1 = 26 x = x = 5 x = -5
Answer:
x = 27/5
Step-by-step explanation:
5x - 1 = 26
Add 1 to each side
5x - 1 = 26
5x-1+1 = 26+1
5x = 27
Divide each side by 5
5x/5 = 27/5
x = 27/5
The amount of time a certain brand of light bulb lasts is normally distribued with a mean of 900 hours and a standard deviation of 55 hours. Out of 720 freshly installed light bulbs in a new large building, how many would be expected to last between 800 hours and 1030 hours, to the nearest whole number?
Answer: 689
Step-by-step explanation:
Jack and Jill go up a hill, the
distance they travel is 75m and
it takes them 2 minutes and 30
seconds, what was their average
speed in m/s?
Answer:
0.5m/s
Step-by-step explanation:
75m/150s(2min 30 sec)
?m/s
So,
75m÷150/150s÷150
0.5m/s
plzz mark brianliest if its correct
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
32 polo, 28 measles
Step-by-step explanation:
4p + 2m = 184 <-- doses
p + m = 60 <-- vaccines
solve:
4p + 2m = 184
-2p - 2m = -120 <-- multiplied both sides by -2
------------------------
2p = 64
p = 32
plug back in:
32 + m = 60
p = 32
m = 28
Help please........................
Answer:
70,000$
Step-by-step explanation:
Thanks so much for a word document
Answer:
What do you need,and what's the question
Need help with equations with variables on both sides, giving 100 points, tysm if you help :) 6 (2x-4) = 8(x +2) A. 3 B. 10 C. 2 D. -2 3 (4p - 2) = -6 (1 - 2p) A. no solution B. all real numbers C. 0 D. -6 5 ( x- 2) = 3 (x + 6) -8 A. 10 B. 1 C. -1 D. 0 6 (2x-3) = - (x - 9) + 4x A. -6 B. -3 C. 9 D. 3
Answer:
B. 10
C. All real numbers.
Step-by-step explanation:
6 (2x-4) = 8(x + 2)
Distribute the numbers outside of the factors:
12x - 24 = 8x + 16
Subtract both sides by '8x'
12x - 8x - 24 = 8x - 8x + 16
4x - 24 = 16
Add '24' to both sides:
4x = 40
Divide both sides by 4:
x = 10. Therefore, B. 10 is the correct answer.
3(4p - 2) = -6(1 - 2p)
Distribute the numbers similarly to the example before:
12p - 6 = -6 + 12p
Subtract '12p' from both sides:
12p - 12p -6 = -6 + 12p - 12p
0 -6 = -6
Add '6' to both sides:
0 - 6 + 6 = -6 + 6
0 = 0
Therefore, the solution consists of all real numbers.
Ramesh is a cashier in a canara bank. He has notes of denomination of Rs 100,50,10 respectively. The ratio of number of these notes is2:3:5respectively. The total cash with ramesh is 400000.How many notes of each denomination does he have
Answer: Ramesh has 80,000 100Rs, 120,000 50Rs and 200,000 10Rs.
Step-by-step explanation:
From the question, the ratio of number of 100, 50 and 10Rs notes is 2:3:5respectively and the total cash with ramesh is 400000.
Total ratio = 2+3+5 = 10
100Rs = 2/10 × 400000
= 80,000
50Rs = 3/10 × 400000
= 120,000
10Rs = 5/10 × 400000
= 200,000
Ramesh has 80,000 100Rs, 120,000 50Rs and 200,000 10Rs.
I need the answer for this and how you got it please!!!
Answer:
Correct answer is B.
Step-by-step explanation:
They are equal.
Which value of x makes this inequality true?
X + 9 < 4x
We want to get out x's together on the right side of the inequality.
So, subtract x from both sides to get 9 < 3x.
Now divide both sides by 3 and we get 3 < x.
I personally like to have my variables on the left so we can move the 3 to the left and the x to the right but if we do that, we have to switch the inequality sign.
So we can rewrite this as x > 3.
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!
Step-by-step explanation:
see the attachement
hope it helps you....
Express the form 1:n
Give n as a decimal
20 : 4
Answer:
1 : 0.2 is the answer I think
Please answer correctly !!!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!!
Answer:
smaller x = -5
larger x = 5
Step-by-step explanation:
-x^2 - 8 = -33
Add 8 to each side
-x^2 - 8+8 = -33+8
-x^2 = -25
divide each side by -1
x^2 = 25
Take the square root of each side
sqrt(x^2) = ±sqrt(25)
x = ±5
x = -5, x = 5
Answer:
[tex]lesser \: \: \: x =( - 5 )\\ greater \: \: \: x =( 5)[/tex]
Step-by-step explanation:
[tex] - {x}^{2} - 8 = - 33 \\ - {x}^{2} = - 33 + 8 \\ - {x}^{2} = - 25 \\ {x}^{2} = 25 \\ x = \sqrt{25} \\ x = + 5 \\ x = - 5[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Charlotte’s essay on pigs was 824 words in length. Wilbur’s essay was only 360 words long. What is the ratio of Charlotte’s essay to Wilbur’s?
Answer:
824/360 or 824:360
Step-by-step explanation:
quick mafs
Answer:824/360,p or 824:360 or 824 to 360
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!
Answer:
39,8
Step-by-step explanation:
the H represents 39,8
if a=3 then what does 5(a+5) equal show all steps
Answer:
40
Step-by-step explanation:
5(a+5)
Let a =3
5(3+5)
Parentheses first
5(8)
Multiply
40
Answer:
40
Step-by-step explanation:
5(a+5)
5(3+5)
5(8)
40
Ana tiene 14 años menos que Beto y ambas edades suman 56 años
What is the solution of the equation (x – 5)^2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.
A) x=-3+3i√3/2 B) x=7+3i√3/2 C) x=2 D) x=8
Answer:
[tex] x = \dfrac{7 \pm 3i\sqrt{3}}{2} [/tex]
Step-by-step explanation:
(x – 5)^2 + 3(x – 5) + 9 = 0
This is a quadratic equation in x - 5.
Let u = x - 5, then the quadratic equation becomes:
u^2 + 3u + 9 = 0
We can use the quadratic formula to solve for u.
[tex] u = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] u = \dfrac{-3 \pm \sqrt{3^2 - 4(1)(9)}}{2(1)} [/tex]
[tex] u = \dfrac{-3 \pm \sqrt{9 - 36}}{2} [/tex]
[tex] u = \dfrac{-3 \pm \sqrt{-27}}{2} [/tex]
[tex] u = \dfrac{-3 \pm 3i\sqrt{3}}{2} [/tex]
Since u = x - 5, now we substitute x - 5 for u and solve for x.
[tex] x - 5 = \dfrac{-3 \pm 3i\sqrt{3}}{2} [/tex]
[tex] x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + 5 [/tex]
[tex] x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + \dfrac{10}{2} [/tex]
[tex] x = \dfrac{7 \pm 3i\sqrt{3}}{2} [/tex]
Answer:
x = 7+/-3i sqrt3 over 2
Step-by-step explanation:
Multiply the following complex numbers:
(5+3i)(4+ 2i)
A. 14-22i
O B. 14+ 22i
O C. 26 - 22i
O D. 26 + 22i
Answer:
B, or 14 + 22i.
Step-by-step explanation:
When multiplying complex numbers, use the FOIL method.
Therefore:
(5 + 3i)(4 + 2i)
FOIL the equation:
5×4 + 5 × 2i + 3i × 4 + 3i × 2i
Simplify. Remember that i² = -1.
20 + 10i + 12i -6
Combine like terms:
14 + 22i
Therefore, the solution is B, or 14 + 22i.
WILL MARK BRAINIEST!!! 25 POINTS!!! PLZ HELP ME! Determine the equivalent system for the given system of equations.
Answer:
4x-5y=2, 24x-47y=22
Step-by-step explanation:
I mean I would write out all the steps for the answers if I wasn't feeling lazy.
4x-5y=2
10x-21y=10
[tex]x=-\frac{4}{17},y=-\frac{10}{17}[/tex]
Here you can have the answers:
4x-5y=2
3x-y=4
[tex]x=\frac{18}{11} , y=\frac{10}{11}[/tex]
4x-5y=2
24x-47y=22
[tex]x=-\frac{4}{17},y=-\frac{10}{17}[/tex]
4x-5y=2
10x+3y=15
[tex]x=\frac{81}{62},y=\frac{20}{31}[/tex]
4x-5y=2
14x+26y=12
[tex]x=\frac{56}{87},y=\frac{10}{87}[/tex]
It seems that 4x-5y=2, 24x-47y=22 is the correct answer.
Solve: |2x - 1| < 11
Answer:x<6
Step-by-step explanation:
2x<11+1
2x<12
X<6
Write the equation for the linear function that goes through –3 on the y-axis and has a slope of 0.5.
y= ????
Answer: y = [tex]\frac{1}{2} x[/tex] - 3
Step-by-step explanation:
The equation for a line is in the form y = mx + b, where "m" is the slope and "b" is the y-intercept.Since the slope is 0.5 (which is [tex]\frac{1}{2}[/tex]), we can plug that value in for "m": y = [tex]\frac{1}{2} x[/tex] + bSince the line goes through -3 on the y-axis, that is the y-intercept. So, we can just plug in that value for "b": y = [tex]\frac{1}{2} x[/tex] - 3And there's your answer: y = [tex]\frac{1}{2} x[/tex]-31. How many ways are there to get a sum of 10 when two dices are thrown?
2.How many ways are there to get a sum of 11 when two dices are thrown?
3. How many ways are there to get a sum of 12 when two dices are thrown?
Please Answer Quickly And Kindly Explain Properly, Thanks!
Answer:
1.3 2.2 3.1
Step-by-step explanation:
1. 6:4 4:6 5:5
2. 5:6 6:5
3. 12 6:6
those are the ways you can get these numbers cause every two different numbers can show up on the opposite dice
