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[tex] f(x) = \sqrt{2x - 10} [/tex]
[tex]Domain \: \: : \: 2x - 10 \geqslant 0[/tex]
Add sides 10
[tex]Domain \: \: : \: \: 2x - 10 + 10 \geqslant 10 \\ [/tex]
[tex]Domain \: \: : \: \: 2x \geqslant 10[/tex]
Divided sides by 2
[tex]Domain \: \: : \: \: \frac{2}{2}x \geqslant \frac{10}{2} \\ [/tex]
[tex]Domain \: \: : \: \: x \geqslant 5[/tex]
Done...
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What is an eqination of the line that passes through the point (-3, -7) and parallel to the line 3x-y=5
I need the y=mx+b
Answer:
y = 3x + 2
Step-by-step explanation:
First you need to change the way the equation is said into a easier form:
y = 3x - 5
Since the line is parallel, you can use the same slope of 3:
y = 3x + b
Now you plug in the coordinates into the equation and solve for b:
-7 = 3 ( -3) + b
-7 = - 9 + b
-7 + 9 = b
2 = b
Now plig this into the equation and you have the answer
y = 3x + 2
Write the following as an inequality.
9 is greater than x, and 2 is less than or equal to x
Use x only once in your inequality.
SOMEBODY HELP PLEASE!!!
Z=3x+3 solve for x.
Z=2+3r solve for x.
Answer:
1. X= 1/3 z -1
2. X= 1/3z + -2/3
Step-by-step explanation:
z=3x+3
Step 1: Flip the equation.
3x+3=z
Step 2: Add -3 to both sides.
3x+3+−3=z+−3
3x=z−3
Step 3: Divide both sides by 3.
3x/3 = z-3/3
Step 1: Flip the equation.
3r+2=z
Step 2: Add -2 to both sides.
3r+2+−2=z+−2
3r=z−2
Step 3: Divide both sides by 3.
3r/ 3 = z-2/3
Jake's solution to the equation −4(2x−3)=36 is shown below.
Answer:
x=-3
Step-by-step explanation:
I hope this help.
f(x)=4x+2
g(x)=x^2-1
Find (f+g)(-4)
(4x+2+x^2-1)(-4)=(x^2+4x+1)(-4)=(-4)^2+4(-4)+1
=16-16+1
=1
A convenience store requires that Ayumi spend $4 or more if she wants to pay using a debit card. Donuts cost $0.80 each. A
bottle of orange Juice costs $1.20. Ayumi payed for 1 orange juice and d number of donuts. Write the equation that represent
the situation.
Answer
1.20+0.80d ≥ 4.00 is the equation. If you are trying to solve for the minimum of donuts she needs to buy so it is over $4.00, then it is 4
Step-by-step explanation:
So in the problem we know she already has bought one bottle of orange juice and needs to buy a certain amount of donuts but we know they are each 0.80 so that will become 0.80d. The 1.20 + 0.80d have to be greater than or equal to 4.00 so she can pay with the debit card and that is why we put the ≥ symbol.
Answer:
.80 × 4 =$3.20
orange juice is $1.20
d =.80×4 +1.20
d=$4.40
answer the question >:D
Answer:
15 is the diameter and 7.5 is the radius
Step-by-step explanation:
The radius is the half of the diameter hehe boi
4 (x - 1) = }(12x – 3)
Answer:
x= -1/8
Step-by-step explanation:
try using symbolab
x(1+y)=z, for x
[tex]x(1 + y) = z for x[/tex]
This is for law of sines
It says solve each triangle so what parts am I solving? Do I solve all parts or if there’s 2 angles and 1 side, I look for the other angle?
Step-by-step explanation:
Solving a triangle means finding all unknown sides and angles.
For example, in #9, the third angle is 180° − 81° − 59° = 40°.
Using law of sines, the other two sides are:
a / sin 59° = 15 / sin 40°
a = 20.0
b / sin 81° = 15 / sin 40°
b = 23.0
how to do this question plz
Answer:
a) root77
b) 2 root77 / ~17.55 cm^2
Step-by-step explanation:
a) by using Pythagorean Theroem,
a^2 + b^2 = c^2
2^2 + b^2 = 9^2
4 + b^2 = 81
81 - 4 = b^2
77 = b^2
root77 = b
b) 1/2bh is the quation for area thus,
area = 1/2 ( 4 ) ( root77)
area = 2 root77
or area = ~17.55 cm^2
h = [tex]\sqrt{77}[/tex]
A =[tex]2\sqrt{77}[/tex]
Step-by-step explanation:Rules for solving this problem:
Isosceles triangle rules
∠C = ∠ABC = BABecause of isosceles being made up of two right triangles; using the pythagorean theorem we can deduce that
(1/2 x AC)² = BC² - h² (1/2 x AC)² = BA² - h²Area of a triangle
A = 1/2 (Base x Height) = 1/2 * bhStep 1 - Find the height
[tex]h =\sqrt{9^2 - ((1/2)AC)^2} = \sqrt{9^2 - ((1/2)~4)^2} = \sqrt{9^2 - 2^2} = \sqrt{81-4} = \sqrt {77}[/tex]
Step 2 - Find the area
[tex]A = \frac{1}{2}bh = (\frac{1}{2})(4)(\sqrt{77}) = 2 \sqrt{77}[/tex]
Hope this helps,
- J.M.Jamon
Pennsylvania State University
Full-time B.S.CE. undergrad student
15 POINTS PLEASE HELP! It is known that 3 is less than y is less then 7. Find the possible values of the expression:
a) 8y
b)14-2y
Answer:
[tex]a) 8y = 32.\\b)14-2y = 6.[/tex]
[tex]the \: right \: expression \: for \\ 3 \: is \: less \: than \: y \: is \: less \: than \: 7 \: is \\ 3 < y < 7. \\ then \\ y \: can \: be \: any \: value \: form \: (4 \: to \: 6). \\ so \: if \: y = 4. \\ then \\ 8y = 8 \times 4= 32. \\ and \\ 14 - 2y = 14 - 2 \times 4 = 6.[/tex]
The maximum and minimum value of the expressions are -
1 - 8y Max [1] = 48 Min [1] = 32
2 - 14 - 2y Max [2] = 6 Min [2] = 2
What is inequality?
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given is that 3 is less than y is less then 7.
We can write the inequality -
3 < y < 7
Expression 1 : 8y
Maximum value of the expression = Max [1] = 48
Minimum value of the expression = Min [1] = 32
Expression 1 : 14 - 2y
Maximum value of the expression = Max [2] = 14 - 2 x 4 = 14 - 8 = 6
Minimum value of the expression = Min [2] = 14 - 2 x 6 = 14 - 12 = 2
Therefore, the maximum and minimum value of the expressions are -
1 - 8y Max [1] = 48 Min [1] = 32
2 - 14 - 2y Max [2] = 6 Min [2] = 2
To solve more questions on Evaluating experience, visit the link below-
https://brainly.com/question/11903485
#SPJ2
based on her recipe, Elena knows that 5 servings of granola has 1750 calories.
Answer:
700 calories
Step-by-step explanation:
1750 ÷ 5 = 350350 × 2 = 700I hope this helps!
Marshall buys a sack of peaches for $5.98. The peaches weigh
2.77 pounds. About what price per pound did Marshall pay? Estimate using compatible numbers.
Answer:
Step-by-step explanation:
a
3х + Зу = 15
-2х + Зу = -5
Answer?
Answer:
(x,y)= (4,1)
Step-by-step explanation:
Model the following situation with an equation or inequality statement.
The difference of six and a number is greater than nine.
6 - x > 9
hope this helps! :):):):)
please help hiw do you do this ??
If an object is projected upward from ground level with an initial velocity of 48ft per sec, then its height in feet after t seconds is given by s(t)= -16t^2+48t. Find the number of seconds it will take to reach its maximum height. What is this maximum height? The object will take __ second(s) to reach its maximum height. (Simplify your answer.) The maximum height reached by the object is __ feet. (Simplify your answer.)
Answer:
t = 1.5 s and s(t) = 36 feet
Step-by-step explanation:
The height reached by an object as a function of time t is given by :
[tex]s(t)= -16t^2+48t[/tex] ...(1)
t is in seconds
To find the maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d( -16t^2+48t)}{dt}=0\\\\-32t+48=0\\\\t=\dfrac{48}{32}\\\\t=1.5\ s[/tex]
It will take 1.5 seconds to reach its maximum height.
Put t = 1.5 s in equation (1), such that,
[tex]s(1.5)= -16(1.5)^2+48(1.5)\\\\s(t)=36\ \text{feet}[/tex]
The maximum height reached by the object is 36 feet.
Which choice best represents the height an airplane flies?
A)10 cm
B)10m
C)10mm
D)10km
Answer:
I think 10 km.
Please mark as brainliest.
Answer: 10 kilometers
10 kilometers is about 38,500 feet. This is the average altitude an average commercial plane should fly. The answer to this question is D, 10 kilometers.
Hope this helps!
pleas solve this for me
y=x^2-x
Answer:
there i tried :)
Step-by-step explanation:
Write the fraction 16/40 in simplest form. If the fraction is in simplest form
To covert a fraction to it's simplest form we need to divide their numerator and denominator with the same number .
= 16/40
= 16 ÷ 4 / 40 ÷ 4
= 4/10
= 4 ÷ 2 / 10 ÷ 2
= 2/5
Since both the numerator and denominator dont have a common factor , we can say that they are in their simplest form .
Therefore , the fraction 16/40 = 2/5
Peter attempted to use the divide-center method to find the line of best fit on a scatterplot.
What was his mistake?
He had a different number of points to the left of the vertical line than to the right of the vertical line.
He had a different number of points above the line of best fit than below the line of best fit.
Answer:
He had a different number of points above the line of best fit than below the line of best fit.
Step-by-step explanation:
This is the best likely answer to the question about Peter's attempt to use divide-center method to find the line of best fit on a scatterplot.
Answer:
a: He had a different number of points to the left of the vertical line than to the right of the vertical line.
Step-by-step explanation:
edg2021
kelly is training for one marathon in week one she runs 7 miles in week two she runs 10 miles in week 3 she runs 13 miles given that she keeps the same pattern find the total distance kelly has run after practicing for 7 weeks
Answer:
25 miles on week 7
Step-by-step explanation:
The perimeter of a triangle is 88. The sides have lengths d, e, and f. The ratio of e to d is 3:1, and the ratio of f to e is 10:9. list the length of the sides of the triangle from smallest to greatest. Type the numbers only, do not include units.
Please can someone answer this, because my answers don't make sense.
Answer:
30039283 d
Step-by-step explanation:
i will help in a bit
How much do you need to subtract from 35/6 to make 5?
Answer:
You need to subtract 5/6
Step-by-step explanation:
35/6 - 5 = 5/6
So; 35/6 - 5/6 = 5
need help asap ! thanks
Which of the following statements is true about
the values of the coordinate points in a figure when the figure is reflected over the y-axis?
Please help!!! The picture shows the selection of answers
Answer:
The y-axis stays the same
Step-by-step explanation:
:)
Anyone with the answers to unit 1 Geometry basics homework 5 angle relationships
Answer:
Step-by-step explanation:
1) x + 65 = 90
x = 90 -65
x = 25
2) x + 51 = 180 {Linear Pair}
x = 180 - 51
x = 129
3) y = 107 {Vertically opposite angles are equal}
x + 107 = 180 {linear pair}
x = 180 - 107
x = 73
z = x {Vertically opposite angles are equal}
z = 73
4) If sum of two angles is 180,, then they are called supplementary.
one angle = 13
It's supplement = 180 - 13
= 167
5) If sum of two angles is 90, then they are called complementary.
one angle = 38
It's complement = 90 - 38
= 52
6) ∠1 + ∠2 = 180
5x + 9 + 3x +11 = 180 {Combine like terms}
8x + 20 = 180
8x = 180 -20
8x = 160
x= 160/8
x = 20
∠1 = 5x + 9
= 5*20 +9
= 100+9
= 109
∠2 = 3x +11
= 3*20 +11
= 60 +11
= 71
7) Vertically opposite angles are equal
∠2 = ∠2 1
20x - 14 = 17x + 1
20x - 17x -14 = 1
3x - 14 = 1
3x =1 +14
3x = 15
x = 15/3
x = 5
∠2 = 20x - 14
= 20*5 - 14
= 100 - 14
= 86
8) ∠K + ∠L = 90
3x +3 + 10x - 4 = 90 {Combine like terms}
13x -1 = 90
13x = 90 + 1
x = 91/13
x = 7
∠K = 3x + 3
= 3*7 + 3
= 21 +3
= 24
∠L = 10x - 4
= 10*7 -4
= 70 - 4
= 66
Convert 3 2/3 as a decimal?? Helppp
Answer: 3.66666667
Step-by-step explanation:
Write an equation in point slope form that passes through (-14, - 6) and the
slope is 2/3
Answer:
y=2/3x - 6
Step-by-step explanation:
use the formula y=mx+b. the m of this equation is equal to the slope and you know that the slope is 2/3. the b of the equation is equal to the y-intercept so, to find b you simply look at the points given. the points are written in (x,y) form so if -14 is x, -6 must be y. remember to KEEP CHANGE CHANGE your signs so that plus sign becomes negative 6. Hope this helps!