Which inequality represents all values of x for which the quotient below is
defined?
28(x-1) = 8x?
O A. x less than or equal to -1
B.x great than or equal to 1
O C. x> 1
O D. x<-1
You can re-write this quotient this way :
[tex]\frac{\sqrt{28(x-1)}}{\sqrt{8x^{2} }} = \sqrt{ \frac{28(x-1)}{8x^{2} } }\\[/tex]
What's inside the square root must be greater than or equal to 0, because the domain of the square root function is defined on R+ (which is [0,+∞))
In other word we must find x so that :
[tex]\frac{28(x-1)}{8x^{2}}\geq 0[/tex]
at the end we get
28(x-1) ≥ 0
28x - 28 ≥ 0
28x ≥ 28
x ≥ 1
So the answer is B, x ≥ 1
HELP DUE IN 10 MINS!
Solve for x.
7/x - 5 = 5/x + 7
[tex]\\ \sf\longmapsto \dfrac{7}{x-5}=\dfrac{5}{x+7}[/tex]
[tex]\\ \sf\longmapsto 7(x+7)=5(x-5)[/tex]
[tex]\\ \sf\longmapsto 7x+49=5x-25[/tex]
[tex]\\ \sf\longmapsto 7x-5x=-25-49[/tex]
[tex]\\ \sf\longmapsto 2x=-74[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-74}{2}[/tex]
[tex]\\ \sf\longmapsto x=-37[/tex]
The temperature outside changed from 91°F to 49°F over a period of six days. If the temperature changed by the same amount each day, what was the daily temperature change?
Answer:
Step-by-step explanation:
The temperature change in 6 days is 91 - 49 = 42 F
So the daily change is 42/6 = 7 F.
If the sandwich is 18.25 feet, how many sections can he cut ?
What is the slope of the line that passes through the points (5, 4) and (13.25, -18) ?
A.) 83/3
B) 3/8
C) −3/8
D) 8/3
Answer:
Answer: D. 8/3
Step-by-step explanation:
Formular for slope:
[ consider points (x1, y1) and (x2, y2) ]
[tex]slope = \frac{y_{2} - y _{1} }{x _{2} - x _{1} } \\ [/tex]
x1 » 5, y1 » 4
x2 » 13.25, y2 » -18
[tex]sloe = \frac{ - 18 - 4}{13.25 - 5} \\ \\ = \frac{22}{8.25} \\ \\ { \boxed{ \boxed{slope \: = \frac{8}{3} }}}[/tex]
a) sin30°.tan60° = cos30°
Answer:
Taking LHS:sin 30⁰. tan60⁰
= 1/2 . √3
=√3/2
Now, Taking RHS:Cos 30⁰
=√3/2
LHS =RHS,
Hence proved.
Step-by-step explanation:
Solve one from group b pls show work and steps
In the diagram, m Find m
Step-by-step explanation:
where is the diagram first you have to show figure then I will find m
HEY guys I’m back Nooooo I was so happy I didn’t have to use this but Can Someone help me do this I’ll Mark you The Brainliest Pls I need HELPPPPP!
Answer:
hey cutie
Step-by-step explanation:
Answer:
Language:
1. Circle All terms
2. 12 or 13
3. 8
4. 12 or 13
Plot:
Get a graph for this one, the number is the first parameter is x, find that x value along the x axis then after finishing it locate v, find y value along the y axis.
Solve:
1. x = 3
2. x = 1
3. x = 3
4. x = x = 5
5. x = 8
6. x = 12
7. x = 9
8. x = 4
9. x = 3
10. x = 6
11. x = 4
12. x = -12
13. x = 5
14. x = 6
15. x = 16
Step-by-step explanation:
Variables - in algebra is a symbol or a letter.
Constants - are numbers
Coefficients - are the numbers that are with variables
Use this description and circle the examples.
For the plot use a gird, or gets a coordinate plane.
Lastely for the Solve example minus or plus the constant with the coefficient and variable forum the constant outside that has been equal to. Then divide by the variable coefficient, and you will get your x value. Example:
34 - 13 = 21 / 7 thus x = 3
The total amount of milk in a jug and a mug is T liters. If p ml of milk is taken from the mug to make pancakes, the amount of milk left in the mug will be half as much as that in the jug. Write an expression for the amount of milk, in liters, in the jug. Evaluate the expression if T = 2.5 and p = 250.
Answer:
Apart from PB&J and oatmeal, pancakes are the most popular (and best) breakfast meal. They’re nutritious, yummy and can be served with both salty and sweet flavors. But are they easy to make? The recipe may be simple, but there are many things we need to consider.
Step-by-step explanation:
Find the distance between the points.
(3,3) and (3,-5)
Answer:
0, 8
Step-by-step explanation:
To find out a distance of these numbers, you shall find out how far each number is, preferably you can use a number line for this.
12−6=7+9
12
x
−
6
=
7
x
+
9
Answer:
calcula
Step-by-step explanation:
Can someone show how work on how they got 220 from 22,000 ➗ 100 = on a piece of paper?
please someone answer please I will give brainliest
Answer:
fig 1 no
Step-by-step explanation:
cause one element of domain (a) has two element. on range
Answer
fig 1 no
Step-by-step explanation:
cause one element of domain (a) has two element. on range.
Plzzz at least hit thanks ??
If the temperature outside was 73 degrees at 5:00 p.m., but it fell 19 degrees by 10:00 p.m., what is the temperature at 10:00 p.m.? Write an addition equation and solve.
please help
Answer:
73degrees-10degrees=63 degrees
Answer: 73 + (-19) = x, x = 73-19 = 54 degrees
Step-by-step explanation: Normally this would be a subtraction equation, but if you're looking for addition you can fix that by adding a negative number- which is the same as subtraction. In this case, the times have nothing to do with the equation itself.
The indoor climbing gym is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 3 vans and 12 buses with 504 students. High School B rented and filled 2 vans and 4 buses with 184 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
High school A: 3 vans + 12 buses = 504 students
High school B: 2 vans + 4 buses = 184 students
Multiply High school B by 1.5:
High school B: 3 vans + 6 buses = 276 students
Subtract High school B from High School A:
6 buses = 228 students
Divide students by buses:
Buses = 228 / 6 = 38 students per bus
Now solve for vans using high school A:
3 vans + 12(38 students per bus) = 504 students
Simplify:
3 vans + 456 students in buses = 504 students
Subtract students in buses from both sides:
3 vans = 48
Divide both sides by 3:
Vans = 16
Answer: vans = 16 students, buses = 38 students
b+1/4=3/4 how do i answer this
Answer:
B=2/4
Step-by-step explanation:
Its very simple. 3/4-1/4=2/4.
Answer:
[tex]b=\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the difference
[tex]b=\frac{3}{4}-\frac{1}{4}[/tex]
Solution
[tex]b=\frac{1}{2}[/tex]
How many sides does he count ?
[tex]\sqrt{60} /\sqrt{5} (in radical form)[/tex]
[tex]2\sqrt{3}[/tex]
------------------------
Steps:
1st write out equation
[tex]\frac{\sqrt{60}}{\sqrt{5}} \\[/tex]
Second write the conjugant and multiply it.
[tex]\frac{\sqrt{60}}{\sqrt{5}} * \frac{\sqrt{5} }{\sqrt{5} }[/tex]
After multiplying you should get,
[tex]\frac{10\sqrt{3}}{5}[/tex]
now after simplifying you should get
[tex]2\sqrt{3}[/tex]
A phone company offers two monthly plans. Plan A costs $40 plus an additional $0.05 for each minute of calls. Plan B has no initial fee but costs $0.25 for each minute of calls. What is the cost when the two plans cost the same for a set number of minutes?
Answer:
20 minutes
Step-by-step explanation:
Plan A
C = 40 + 0.05m
Plan B
C = 0.25m
we want to find the number of minutes m such that the two plan cost the same.
Hence
40 + 0.05m = 0.25m
40 = 0.20 m
m = 40/ 0.20
m = 400 / 2
m = 20 minutes.
if p=1/4 and q=2/3
P^2+2pq-3q^2
if there was one hexagon, there would be 6 sides. if there were two hexagons, there would be 12 sides. how many sides would there be if there were 18 hexagons?
Answer: if 1 contains 6 sizes the 18 contains 18x 6 sides
108 sides
Is 4.38 a rational number?
ME NEED HELPPPPP plz
Answer:
A.
Step-by-step explanation:
A. [tex]\sqrt{81}[/tex] times 2 = 18
B. [tex]\sqrt{81} -\sqrt{25} = 4[/tex]
C. [tex]\sqrt{64} +\sqrt{25} =13[/tex]
D. [tex]\sqrt{64} -3=5[/tex]
N is the midpoint of AC ; AN = 4x - 7 and NC = 5x - 15
Find x=
Answer:
x = 8
Step-by-step explanation:
AN = NC,
4x - 7 = 5x -15,
-7 = x -15,
8 = x
Round 69581.491337 to the nearest thousand.
Answer:
7000
Step-by-step explanation:
lets start with 695
9 is the thousand
you check the number next to 9
less then 4 let it rest
more than 5 let it soar
something like that lol
anyways since 5 is next to the 9 we round up from 9 to the next number which is 10
so that changes the whole number to 7000
hope this makes sense!
Find h(7) - 3 if h(x) = 5x + 11
Hi there!
h(x) = 5x + 11
To find h(7) - 3, we can substitute 7 for x and subtract 3:
h(7) = 5(7) + 11 - 3
Simplify:
h(7) = 35 + 11 - 3
h(7) = 43
h(x) = 5x + 11
h(7) = 5 · 7 + 11 = 35 + 11 = 46
h(7) - 3 = 46 - 3 = 43 ← the end answer
Write as a decimal:
Explain...
1 7/12
Answer:
1 7/12 = 1.58
Step-by-step explanation:
If you divide 7 by 12, you will get 0.583... If you add 1 in the ones, that'll be
1.583... or 1.58.
20 points!!
pls help!! i’ll mark as brainlist
Answer:no se jugamos free
Step-by-step explanation:
Choose a variable to isolate and what it is equal to in the system of equations below
Answer:
y=2x-3
Step-by-step explanation:
2x=y+3
2x-3=y
