Answer:
f(-2) = 2
Step-by-step explanation:
The question is asking for the y-value of the point located at x = -2 on the graph. The point is at (-2, 2), so f(-2) = 2.
A high school graduating class is made up of 505 students. There 175 more girls than boys. How many boys are in the class
Answer:
165
Step-by-step explanation:
let the number of boys be x and girls be y.
But there are 175 more girls than boys, so y = x + 175
sum of boys and girls is 505
x + y = 505
and y = x + 175
x + x + 175 = 505
2x = 330
x = 165
There were 96 members in a club. The ratio of the number of female members to male members was 7:5. When 58 new members joined the club, the ratio became 5:6. How many of the new members were males?
Answer:bend
Step-by-step explanation:s s
please help me on this
Answer:
The correct answer is True.
Step-by-step explanation:
Altitude: vertical distance either between the top and bottom of something or between a base and something above it.
Two of the angles in a triangle measure 35 and 8. What is the measure of the third angle?
Answer:
137°
Step-by-step explanation:
Total angle of a triangle:
a + b + c = 180°
35 + 8 + c = 180°
c = 180° - 43° = 137°
How would I solve this question? I need to solve for s.
Answer:
4
Step-by-step explanation:
2r = 5s/2 - s/4 ⇒ bring to common denominator2r = 10s/4 - s/42r = 9s/49s = 8r ⇒ multiply both sides by 4s = 8r/9 ⇒ divide both sides by 9s = 8/9*9/2 ⇒ replace r with 9/2, simplifys = 4 ⇒ answerSum of the numerator and denominator of the fraction is 4 more than twice the numerator . If the numerator and denominator is deceased by 3.they are in the ratio 2:3. Determine the fraction
The system is:
[tex]\frac{x}{y}=2x + 4[/tex]
[tex]\frac{x-3}{y-3}=\frac{2}{3}[/tex] (y musn't be 3).
Solving for y in the first equation gives you:
[tex]y=\frac{x}{2x+4}[/tex]
Simplify the second equation to:
[tex]2(y-3)=3(x-3)[/tex]
Insert y you solved in first equation to second equation to get:
[tex]\frac{x}{x+2}-6=3x-3[/tex]
Further simplification gets you to quadratic equation:
[tex]x=(3x+3)(x+2)\implies x=3x^2+9x+6[/tex] [tex]3x^2+8x+6=0[/tex].
Solving quadratic equation using quadratic formula gives you two solutions of x in complex plane:
[tex]x_1=\boxed{-\frac{8}{6}+\frac{\sqrt{8}}{6}i}[/tex]
[tex]x_2=\boxed{-\frac{8}{6}-\frac{\sqrt{8}}{6}i}[/tex]
Insert the found x-es into first equation to find the y-s:
[tex]y_1=\boxed{-\frac{1}{2}+\frac{\sqrt{2}}{2}i}[/tex]
[tex]y_2=\boxed{-\frac{1}{2}-\frac{\sqrt{2}}{2}i}[/tex]
So there are two solutions (points) [tex]P_1(x_1,y_1),P_2(x_2,y_2)[/tex] both in [tex]\mathbb{C}[/tex] plane.
And the two fractions are:
[tex]\frac{-\frac{8}{6}+\frac{\sqrt{8}}{6}i}{-\frac{1}{2}+\frac{\sqrt{2}}{2}i}[/tex].
[tex]\frac{-\frac{8}{6}-\frac{\sqrt{8}}{6}i}{-\frac{1}{2}-\frac{\sqrt{2}}{2}i}[/tex].
Hope this helps.
please help i will give brainliest for whomever answers correctly A doctor sees 4 patients each hour. Use the equation y = 4x, where the y-value represents the many patients that the doctor may see in x hours. Graph, if necessary. How many patients will the doctor see in a 5-hour day?
Answer:
20 paitents
Step-by-step explanation:
In the word problem since x represents the number of hours all you have to do is plug in 5 for the x-value.
y = 4 (5)
once you do that, multiply 4 x 5 and you get 20.
3 1/2+ 5 3/8 can you solve please
Answer:
71/8
8.875
8 7/8
Step-by-step explanation:
Please help me it’s emergency please
Answer:
-17x
Step-by-step explanation:
(2x^3 - x^2) - (3x^3 - 2x^2)
(8x - 2x) - (27x - 4x)
6x - 23x
-17x
(I haven't seen many questions like this before, but I think that this may be the answer.)
Answer:
The other person is correct he should get brainliest!
Hope this helps!
What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1
Answer:
The answer is "GK=37, GH=14, and JK=19 ".
Step-by-step explanation:
In the question, an attachment file is missing.so, please find its attached file.
Given values:
GJ=4x+2
HK=6x-1
GK =37
Find:
HJ=?
GK = GJ+JK
= GJ+(HK-HJ)
= 4x+2+((6x-1)-x)
= 4x+2+6x-1-x
=
9x+1...(a)
Solve equation (a) and put the value of x in the equation:
=9(4)+1
=36+1
=37
find GH and JK=?
Given:
GK=37
Formula:
GH = GJ-HJ
= 4x+2- x
= 3x+2....(b)
Solve equation (a):
GK= 9x+1
37=9x+1
36=9x
x=4....(c)
put the value of equation (b) in equation (c)
GH = 3x+2
= 3(4)+2
= 12+2
= 14
Formula:
JK= HK-HJ
= 6x-1- x
= 5x-1
put the value of x in the above equation:
= 5(4)-1
= 20-1
=19
I need answer ASAP !:/
Answer:
-10.50 is NOT an integer
Step-by-step explanation:
-10.50 is not an integer number, it includes half of the unit (0.50)
does anyone know this?
Answer:
[-8, 7]
Step-by-step explanation:
The range is the set of values used for the y-coordinates of the all the points of the function.
The highest value of the function is at point (8, 7), so the greatest value y has is 7.
The lowest point of the function is at point (-3, -8), so the least value of y is -8.
Range: [-8, 7]
Answer:
[7, -8]
Step-by-step explanation:
Hello!
The range of a graph is found from looking at the graph from top to bottom
The highest point is 7 and the lowest point is -8
The range would be [7, -8]
Hope this helps!
write in the exanded form 5614789236
5,000,000,000
600,000,000
10,000,000
4,000,000
700,000
80,000
9,000
200
30
6
Answer:
5.614789236 x 10^9.
Step-by-step explanation:
The exponent is 9 because there are 9 digits after the 5.
help find x out of these 4 questions i can’t find the answer anywheew
Answer:
Option D. 11√6/2
Step-by-step explanation:
We'll begin by calculating the side opposite to angle 60°.
This is illustrated below:
Angle θ = 60°
Opposite =?
Hypothenus = 11
Using the sine ratio, we can obtain the side opposite to angle 60° as follow:
Sine θ = Opposite/Hypothenus
Sine 60 = Opposite /11
Cross multiply
Opposite = 11 × Sine 60
Sine 60 = √3/2
Opposite = 11 × √3/2
Opposite = 11√3/2
Finally, we shall determine the value of x as follow:
Angle θ = 45°
Opposite = 11√3/2
Hypothenus = x
Using the sine ratio, we can obtain the value of x as shown below:
Sine θ = Opposite/Hypothenus
Sine 45° = 11√3/2 /x
Cross multiply
x × Sine 45° = 11√3/2
Sine 45° = 1/√2
x × 1/√2 = 11√3/2
x/√2 = 11√3/2
Multiply through by √2
x = √2 × 11√3/2
x = 11√6/2
Evaluate the expression for the given value of x. 3.5x − 3.5 for x = 3
Solve for x (please show work if possible)
10. 5.8 - (0.25 X 1.5)
Just need 3 4 and 5 where 3.852 is thanks
Answer:
HOPE it will be right... Good luck
A line segment on the coordinate plane has endpoints (2,4) and 4,y). The midpoint of the
segment is point (3,7). What is the value of y?
11
0-2
5
10
Answer:
10
Step-by-step explanation:
Given:
End points of a line segment are given as:
(2, 4) and (4, y)
Mid point of the line segment is: (3, 7).
To find:
Value of y = ?
Solution:
If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then mid point of the line ([tex]x, y[/tex]) is given by The Mid Point Formula:
Mid point formula:
[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]
Here,
[tex]x_1 = 2\\x_2 = 4\\y_1 = 4\\y_2 = y\\[/tex]
[tex]x =3\\y=7[/tex]
Putting all the value to find [tex]y[/tex]:
[tex]7 = \dfrac{4+y}{2}\\\Rightarrow 4+y=14\\\Rightarrow \bold{y =10}[/tex]
So, the value of [tex]y[/tex] is 10.
There is a 70% chance of rain tomorrow and a 20% chance that the volleyball game will be postponed. What is the
probability that it will rain tomorrow and the volleyball game will be postponed?
O 14%
O 35%
O 50%
o
90%
Hello I have a question
A circular field has a diameter of 32 meters. A farmer wants to buy enough grass seed to cover the field. One box of grass seed will cover 66m Work out how many boxes of grass seed the farmer need to buy.
Venetta knows that ≈.. To convert 5 mi/h to km/h, she multiplies 5 mi/h by .. What error does Venetta make?
Answer: The km need to be over the mi.
Step-by-step explanation: The kilometers in this equation are supposed to be used as the denominator, and the miles as the numerator.
Km/mi
9×1= 9 9×2 =18 9×3 =27 9×4 =36 9×5 =45 9×6 =54 9×7 =63 9×8 =72 9×9 = 81 9×10= 88 Pls share the logic behind this!
2 multiplied by -1 divided by 2
Answer:
-1
Step-by-step explanation:
2 * -1 = -2
Then, -2 / 2 = 1
Each side of a square is(7+3x) units. What is the perimeter of the square
Answer:
4(7+3x)
Step-by-step explanation:
We know that a square has all equal sides, otherwise it's not really a square. So if each side of the square is 7+3x units, then the perimeter (which is always side+side+side+side) would be 4 times as great. In other words, since the perimeter is side+side+side+side, and since that multiplication is repeated addition, 4(7+3x) is the same as (7+3x)+(7+3x)+(7+3x)+(7+3x)
F(x)= | x-4 | - 9, find f(-7)
Answer:
2
Step-by-step explanation:
Given
f(x) = | x - 4 | - 9, then
f(- 7) = | - 7 - 4 | - 9
= | - 11 | - 9 ( absolute value returns a positive value )
= 11 - 9
= 2
A twelve-sided die with sides labeled through will be rolled once. Each number is equally likely to be rolled. What is the probability of rolling a number greater than ? Write your answer as a fraction in simplest form.
Complete Question:
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled, what is the probability of rolling a number greater than 10?
Answer:
[tex]P(T) = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
Number of Sides = 12
Required
Probability of obtaining a side greater than 10
We start by listing out the sample space;
[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex]
[tex]n(S) = 12[/tex]
Next, we list out digits greater than 10; Represent this with T
[tex]T = \{11,12\}[/tex]
[tex]n(T) = 2[/tex]
Probability of T is calculated as follows;
[tex]P(T) = \frac{n(T)}{n(S)}[/tex]
[tex]P(T) = \frac{2}{12}[/tex]
Divide the numerator and denominator by 2
[tex]P(T) = \frac{1}{6}[/tex]
Hence, the required probability is [tex]\frac{1}{6}[/tex]
Factories this problem
Answer:
This expression has no factors
Step-by-step explanation:
You can't factorize it because it has no factors.
If 14 were sqrt-able then there would have been a factor
Does g(x)=(x-5)/x have a 5 in its domain?
G(X) = (X - 5)/X
Yes... The domain of G(X) can be any value, EXCEPT zero, because we cannot have a fraction with zero in the denominator
Formalizing the domain of this function: D = {X / X ≠ 0}
(for the sake of information, when X tends to zero, the function tends to +∞)
which ordered pair represent a function
Answer:
The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5).
Hope this helps you with your question.
what is 4 times the square root of 2 times 6 times the square root of 18
Answer: 144
Step-by-step explanation: