Answer:
Step-by-step explanation:
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a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain
Answer:
relation
Step-by-step explanation:
i just took the test and got it wrong because of the other answer
x + 9 = -2
Could someone please help me with this problem?
Answer:
x = -11
Step-by-step explanation:
First, you have to isolate x to one side. To do this, you have to subtract 9 on both sides like this
x + 9 - 9 = -2 - 9
So this will now be
x = -11
There you go!
Answer:
x=-11
Step-by-step explanation:
x+9=-2
-9 -9
---------------
x=-11
Find the distance from point A(−14, 5) to the line −x+2y = 14.
Answer:
The distance from point A to given line is: 2√5 or 4.472 units
Step-by-step explanation:
Given equation of line is:
[tex]-x+2y= 14[/tex]
And the point is:
[tex]A = (x_1,y_1) = (-14,5)[/tex]
The standard form of equation of line is:
[tex]Ax+By+C = 0[/tex]
Converting the given equation into standard form
[tex]-x+2y-14=0[/tex]
The distance of a point (x1,y1) from a line is given by the formula:
[tex]d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}[/tex]
In the given details,
A = -1, B = 2, C = -14
x1 = -14, y1 = 5
Putting the values in the formula
[tex]d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units[/tex]
Hence,
The distance from point A to given line is: 2√5 or 4.472 units
What is the equation of the line that passes through the point (- 4, 4) and has a slope of 3/4
Answer:
y = 3/4x + 7Step-by-step explanation:
Slope-intercept form:
y = mx + bGiven
m = 3/4 and point (-4, 4)Substitute values to find b:
4 = 3/4(-4) + b4 = -3 + b7 = bThen the line is:
y = 3/4x + 7it takes Ryan 1/5 hour to bike home from school. his biking speed is 10 mph
how far apart are the school and his house
What is the hypothesis of the following conditional statement? Conditional Statement: If a triangle has three congruent sides, then it is an equilateral triangle.
A.) The triangle has three sides.
B.) If it is an equilateral triangle, it has three congruent sides.
C.) It is an equilateral triangle.
D.) A triangle has three congruent sides.
Answer:
A triangle has three congruent sides
Step-by-step explanation:
100% .
The slope of the line that passes through the point (2,4) and (3,8)is
Answer:
4
Step-by-step explanation:
x1 = 2, y1 = 4
x2 = 3, y2 = 8
from, (y2-y1)/(x2-x1) = m
m = (8-4)/(3-2)
m = 4/1
m = 4
Therefore, the slope of the line is 4
Find the exact value of sin(x + y), given sin(x) = -1/2 , cos(y) = -1/3, x is an angle in quadrant III, and y is an angle in quadrant II.
StartFraction 2 minus StartRoot 5 EndRoot Over 6 EndFraction
StartFraction 1 minus 2 StartRoot 6 EndRoot Over 6 EndFraction
StartFraction 6 minus StartRoot 5 EndRoot Over 6 EndFraction
StartFraction StartRoot 3 EndRoot minus StartRoot 5 EndRoot Over 6 EndFraction
Given:
[tex]\sin (x)=-\dfrac{1}{2}[/tex]
[tex]\cos (y)=-\dfrac{1}{3}[/tex]
x is an angle in quadrant III, and y is an angle in quadrant II.
To find:
The value of sin(x+y).
Solution:
We know that, only sin and cosec are positive in II quadrant. Only tan and cot are positive in III quadrant.
x is an angle in quadrant III,
[tex]\cos x=-\sqrt{1-\sin^2 x}[/tex]
[tex]\cos x=-\sqrt{1-(-\dfrac{1}{2})^2}[/tex]
[tex]\cos x=-\sqrt{1-\dfrac{1}{4}}[/tex]
[tex]\cos x=-\sqrt{\dfrac{4-1}{4}}[/tex]
[tex]\cos x=-\dfrac{\sqrt{3}}{2}[/tex]
y is an angle in quadrant II.
[tex]\sin y=\sqrt{1-\cos^2x}[/tex]
[tex]\sin y=\sqrt{1-(-\dfrac{1}{3})^2}[/tex]
[tex]\sin y=\sqrt{1-\dfrac{1}{9}}[/tex]
[tex]\sin y=\sqrt{\dfrac{9-1}{9}}[/tex]
[tex]\sin y=\sqrt{\dfrac{8}{9}}[/tex]
[tex]\sin y=\dfrac{2\sqrt{2}}{3}[/tex]
Now,
[tex]\sin(x+y)=\sin x\cos y+\cos x\sin y[/tex]
[tex]\sin(x+y)=(-\dfrac{1}{2})\times (-\dfrac{1}{3})+(-\dfrac{\sqrt{3}}{2})\times (\dfrac{2\sqrt{2}}{3})[/tex]
[tex]\sin(x+y)=\dfrac{1}{6}-\dfrac{2\sqrt{6}}{6}[/tex]
[tex]\sin(x+y)=\dfrac{1-2\sqrt{6}}{6}[/tex]
Therefore, the correct option is B.
Answer:
Choice B
Step-by-step explanation:
A lady has 30 oatmeal cookies and 48 chocolate chip cookies. She wants to put them in a container contains the cookies equal. What is the maximum amount containers. Used
Answer:
78 i think
Step-by-step explanation:
7. 3042 = 55
A.77 B. 67 C. 39.29 D. 23
Answer:
A (77)
Step-by-step explanation:
lesson 10 solving inequalities unit test algebra 1A (2) unit 4 solving inequalities
if you go to connexus and you have the answers you can have all my points i dont know how to link and grades close today.. please help
Answer:
the diameter of square 10× five ten of the fraction and 9+10=21 is to add the same and multiply the numbers by 100000
Step-by-step explanation:
9+10=21
Can anyone help me with this?
Answer: X= 3^-1
X= -0.75
Step-by-step explanation:
whats 14 4/10 - 13 1/3 ASAP
Answer:
1 1/15
Step-by-step explanation:
Answer:
16/15 or 1.06.. or 1 1/15
Step-by-step explanation:
:)
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
12 min to 20 min
A video game store adds a 25% markup on each of the games that it sells. In addition to the manufacturer's cost, the store also pays a $1.50 shipping charge on each game.
Answer:
[tex]y=1.25x+1.5[/tex]
Step-by-step explanation:
Step one:
given data
let the manufacturing cost of the video game be x
25% of x
=25/100*x
=0.25x
the new price of the video game will be
=0.25x+x
=$1.25x
cost of shipping is given as $1.5
let the total cost of producing a video game be y
The expression for the total cost of one video game is given as
[tex]y=1.25x+1.5[/tex]
Help me with math please
Answer:
B. 1/6
Step-by-step explanation:
need help pls help :(
Answer:
Neither
Step-by-step explanation:
function A is non linear
12(x - 6) = 2(x - 9)
Answer:
Exact form: x = 27/5
Decimal form: x = 5.4
Mixed-number form: x = 5 2/5
Step-by-step explanation:
hope this helps :)
Which of the following values are solutions to the inequality 4+2x\le 4?4+2x≤4?
\text{I.}\hspace{2px}0\hspace{20px}\text{II.}\hspace{2px}-4\hspace{20px}\text{III.}\hspace{2px}-3
I.0II.−4III.−3
13) maths equations answer??.. .
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex] \frac{3x}{x - 2} = 7 \\ [/tex]
Multiply sides by ( x - 2 )
[tex](x - 2) \times \frac{3x}{x - 2} = (x - 2) \times 7 \\ [/tex]
Simplification
[tex]3x = 7x - 14[/tex]
Subtract sides 7x
[tex] - 7x + 3x = - 7x + 7x - 14[/tex]
Simplification
[tex] - 4x = - 14[/tex]
Negatives simpliflies
[tex]4x = 14[/tex]
Divide sides by 4
[tex] \frac{4x}{4} = \frac{14}{4} \\ [/tex]
[tex]x = \frac{7}{2} \\ [/tex]
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Answer:
x = [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x}{x-2}[/tex] = 7 ( multiply both sides by x - 2 )
3x = 7(x - 2) ← distribute
3x = 7x - 14 ( subtract 3x from both sides )
0 = 4x - 14 ( add 14 to both sides )
14 = 4x ( divide both sides by 4 )
[tex]\frac{14}{4}[/tex] = x , that is
x = [tex]\frac{7}{2}[/tex]
Select all the comparisons that are correct.
Check all that are true.
0.5 inches > 0.60 inches
0.10 inches
0.1 inches
0.75 inches > 0.6 inches
0.9 inches < 0.85 inches
0.2 inches < 0.28 inches
Answer:
a b e i think
Step-by-step explanation:
Keith has $500 in a savings account at the beginning of the summer. He withdraws $25 each week for food, clothes, and movie tickets. He wants to have an account balance of at least $200 in the account at the end of the summer.
Answer:
You can put this solution on YOUR website!
the inequality is 500 - 25x >= 200
this insures that he will have at least 200 at the end of the summer.
subtract 200 from both sides of that inequality and add 25x to both sides of that inequality to get 500 - 200 >= 25x
simplify to get 300 >= 25x
divide both sides of that equation by 25 to get 300 / 25 >= x
simplify to get 12 >= x
12 >= x means x <= 12.
when x is smaller than or equal to 12, he will be guaranteed to have at least 200 in the account at the end of the summer.
when x = 12, what is left in the account is 500 - 25 * 12 = 200.
when x = 11, what is left in the account is 500 - 25 * 11 = 225.
when x = 13, what is left in the account is 500 - 25 * 13 = 175.
the maximum number of weeks he can withdraw money from his account is 12.
Step-by-step explanation:
2. A plumber charges a $70 fee for a repair plus $30 per hour. Write an equation to model the
total cost y of a repair that takes x hours. What is the slope? What is the y-intercept?
(3 points)
Answer:
y = 70 + 30x
slope 30
y intercept 70
Step-by-step explanation:
what is the solution set of the above question ?
Answer:
The solution set is { } or ∅ ⇒ empty set
Step-by-step explanation:
∵ 2x + 10 < 10
→ Subtract 10 from the two sides of the inequality
∵ 2x + 10 - 10 < 10 - 10
∴ 2x < 0
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]
∴ x < 0
∴ The solutions are all the negative numbers
∵ x ∈ N
∵ N is the set of Natural numbers
→ The natural numbers start at 1 and include all positive whole numbers
∴ N = {1, 2, 3, 4, 5, ..............}
∵ N does not contain any negative numbers
∴ The solution set is an empty set ⇒ ∅
∴ The solution set is { } or ∅
what’s the area of this? i really need help....50 points if u help me :)
Answer:
Step-by-step explanation:
We can split this up into 3 shapes.
Using the attached image:
[tex]A = (5-2)*(3)\\A = 3*3 = 9\\\\B = \frac{1}{2}(7-3)(5-2)\\B = \frac{1}{2}(4)(3)\\B = 2*3 = 6\\\\C = 7 * 2 = 14\\\\A + B + C = 14 + 6 + 9 = 29[/tex]
On a test with 30 questions, Bill answered 80% correctly. How many
answers did he get wrong?
Answer:
30 X .8=24 30-24=6 bill got 6 questions wrong
Luke Combs has a new CD coming out next summer. He will spend 4.3 hours each day in the recording studio for 23 days. How many hours total will he spend in the recording studio?
Answer:
98.9
Step-by-step explanation:
23x4.3=98.9 hours
What is the exchange rate for converting British pounds (GBP) to Australian dollars (AUD)? Answer and get 50 dollars on cashapp, FIRST COME FIRST SERVER
1 Pound is equal to 1.81 Australian Dollars
1 Pound sterling equals 1.81 Australian Dollar
i was doing fine until i came to this question please help
i dont know what its asking
Factor:
125x^3-27
A) (5x + 3) (25x^2 - 15x + 9)
B) (5x + 3) (5x^2 - 15x + 9)
C) (5x - 3) (5x^2 - 15x + 9)
D) (5x - 3) (25x^2+ 15x + 9)
Answer:
D) (5x - 3) (25x^2+ 15x + 9)
Step-by-step explanation:
[tex]125 {x}^{3} - 27 \\ \\ = ( {5x)}^{3} - {(3)}^{3} \\ \\ = (5x - 3) \{(5x) ^{2} + 5x \times 3 + ( {3})^{2} \}\\ \\ = (5x - 3) \{25 {x}^{2} + 15x + 9\}[/tex]