y = 6x + 11
2х - Зу = 7
Answers
9514 1404 393
Answer:
(x, y) = (-2.5, -4)
Step-by-step explanation:
Since you are given an expression for y, it is convenient to substitute that into the second equation.
2x -3(6x +11) = 7
2x -18x -33 = 7
-16x = 40 . . . . . . add 33
x = -40/16 = -2.5
Using the equation for y, we find ...
y = 6(-2.5) +11 = -15 +11 = -4
The solution is (x, y) = (-2.5, -4).
Related Questions
What is the zero of F?
Answers
Answer: i wish i could help
Step-by-step explanation:
Ana saved $3.40 on her grocery bill. This was 10% of her bill. How much was Ana's grocery bill?
Answers
Answer:
her grocery bill was $34
Step-by-step explanation:
x = grocery bill
.10x = 3.40
divide by .10
x= $34.
Make t the subject of the formula
Answers
t = (3m -1) / (m - 1)
What is subject of formula?The subject of a formula is the variable that is being worked out. It can be recognized as the letter on its own on one side of the equals sign.
In order to change the subject of a formula, or rearrange a formula, items in the formula need to be rearranged so a different variable is the subject. Knowledge of solving equations and inverse operations is very useful.
Given formula.
m = t + 1 / t - 3
m ( t - 3) = t - 1
mt - 3m = t - 1
mt - t = 3m - 1
t(m - 1) = (3m - 1)
t = (3m -1) / (m - 1)
Hence, the formula becomes t = (3m -1) / (m - 1).
Learn more about subject of formula here:
https://brainly.com/question/29064960
#SPJ2
What is the value of y?
Answers
Answer:
y = 29 degrees
Step-by-step explanation:
5y + 35 = 180
5y = 145
y = 29
11) Which of the following is zero of the polynomial x^3+x^2+x+1
1
-1
both options 1 and 2
None
please answer
Answers
Answer:
The correct answer is option 2: -1
Step-by-step explanation:
In order to check if a number is zero of a function or not, the numer is put into the function in plave of variable. If the answer is zero thent he number is zero of the function and if the answer is not zero the given number is not a zero of the function.
Given function is:
[tex]x^3+x^2+x+1[/tex]
Putting x=1
[tex]=(1)^3+(1)^2+1+1\\=1+1+1+1\\=4[/tex]
1 is not zero of the function.
Putting x = -1
[tex]=(-1)^3+(-1)^2+(-1)+1\\=-1+1-1+1\\=0[/tex]
-1 is zero of the given function.
Hence,
The correct answer is option 2: -1
Solve the following
equation:
8x – 4(x + 8) = 8
Answers
Answer:
[tex]\huge\boxed{\sf x = 10}[/tex]
Step-by-step explanation:
[tex]\sf 8x-4(x+8) = 8\\\\Expanding \ Parenthesis\\\\8x-4x-32 = 8\\\\4x -32 = 8\\\\Adding \ 32\ to \ both \ sides \\\\4x = 8+32\\\\4x = 40\\\\Dividing \ both \ sides \ by \ 4\\\\\boxed{\sf x = 10}\\\\\rule[225]{224}{2}[/tex]
Hope this helped!
~AnonymousHelper1807HELPPPP.
Suppose a bird is 500 feet above the ground. It descends at a steady rate. After 10 seconds, it is 250 feet above the ground.
a) Write an equation that gives the height of the bird as a function of time. Be sure to define your variables!
b) After how many seconds will the bird land on the ground?
Answers
Answer:
500-10x=250
x=how much the bird descended in a second
the bird will land on the ground in another 10 seconds.
Step-by-step explanation:
the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.
Answer:
a) [tex]h(t)=500-25t[/tex]
b) [tex]t=20[/tex]
Step-by-step explanation:
a)
Let [tex]h[/tex] = height above ground
Let [tex]t[/tex] = time
Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.
∴ [tex]h(t) = 500-25t[/tex]
b)
To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:
[tex]0=500-25t[/tex]
[tex]25t=500[/tex]
[tex]t=20[/tex]
∴ It takes 20 seconds for the bird to reach the ground.
Which phrase correctly describes the expression 4 × 3 – 1?
A.
One minus the product of four and three
B.
One less than the product of four and three
C.
One less than the sum of four and three
D.
Four times the difference of three and one
Answers
Given the sum of the interior angles of a polygon, tell the number of sides of the polygon.
If the interior angle sum is 360°, the polygon has _
sides.
If the interior angle sum is 540°, the polygon has _
sides.
If the interior angle sum is 900°, the polygon has _
sides.
If the interior angle sum is 1260°, the polygon has _
sides.
Answers
Answer:
[tex] \underline{the \: sides \: are} \: \to \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed{ n= 5}} \\ \:\underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed{ n= 9}} \\ \: [/tex]
Step-by-step explanation:
[tex] \\ the \: sum \:o f \: the\: interior \: angles \: of \: aregular \: polygon \: \\ is \: generaly \: given \: by \to \: 180(n - 2)\\ \underline{ \boxed {case \:( 1) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 360°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 360 \\ n - 2 = 2 \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed {case \:( 2) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 540°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 540 \\ n - 2 = 3 \\ \underline{ \boxed{ n= 5}} \\ \: \underline{ \boxed {case \:( 3) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 900°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 900 \\ n - 2 = 5 \\ \underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed {case \:(final ) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 1260°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 1260 \\ n - 2 = 7\\ \underline{ \boxed{ n= 9}} \\ \: [/tex]
♨Rage♨
Answer:
4,5,7,9
Step-by-step explanation:
Got it right on edge
What is the slope of the line (-3,0) and (0,-4)
Answers
Explanation:
You would use the slope formula
y2-y1/x2-x1
-4-0/0-(-3)
-4/3
What is the slope of the line that passes through the points (-6, -10) and (3,-13)? Write your answer in simplest form.
Answers
We must use slope formula* to solve this.
[tex]\frac{-13 - (-10)}{3 - (-6)}\\\\\frac{-3}{9} = -\frac{1}{3}[/tex]
m** = [tex]-\frac{1}{3}[/tex]
*Slope Formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
**m is the symbol for slope.
Two lines, A and B, are graphed (Look at the picture):
Determine the solution and the reasoning that justifies the solution to the systems of equations.
a.(−4, 6), because both the equations are true for this point
b.(2, 8), because the graph of the two equations intersects at this point
c.(2, 8), because neither of the two equations is true for this coordinate point
d.(−4, 6), because the graph of the two equations intersects the axis at these points
Answers
Answer:
B. (2,8), because both equations intersect at this point
Answer:
B. (2,8), because both equations intersect at this point
Step-by-step explanation:
Why is it answer B? Because of Enlarging the graph, we find that the intersection of the two lines drawn is at point (2,8). Hence, the solution of the equation is (2,8) because the graphs of the two lines intersect at this point.
(6h+8) - (3h+2) = 15
Answers
Answer:
h = 3
Step-by-step explanation:
This is the answer because:
1) Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps!
LAST QUESTION PLS HELP idk if you can see it all
Answers
Answer:
C is the right answer
Step-by-step explanation:
1.15÷0.23=? pls answer guys
Answers
Answer:
5
Step-by-step explanation: I used a calculator
twice the greater of two integers odd integers is 13 less than 3 times the lesser number. find the integers. what are the integers to this riddle?
Answers
Answer:
17 and 19
Step-by-step explanation:
n= lesser integer n+2= greater integer
2(n+2) = 3n -13
2n +4 = 3n-13
n= 17
lesser number =17
The other greater number = 19 (they are odd,so skipping 18)
19 x 2 = 38
17x3 - 13 =51-13 = 38
**PLEASE HELP I NEED IT WITHIN 20 MINUTES**
These are Trig Ratios and you can read the instructions to solve question 15 & 16 (if you can please show the work it would be greatly appreciated)
Answers
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions[1][2]) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others. They are among the simplest periodic functions, and as such are also widely used for studying periodic phenomena, through Fourier analysis.
Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their side lengths are proportional. Proportionality constants are written within the image: sin θ, cos θ, tan θ, where θ is the common measure of five acute angles.
The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent. Their reciprocals are respectively the cosecant, the secant, and the cotangent, which are less used. Each of these six trigonometric functions has a corresponding inverse function (called inverse trigonometric function), and an equivalent in the hyperbolic functions as well.[3]
The oldest definitions of trigonometric functions, related to right-angle triangles, define them only for acute angles. To extending these definitions to functions whose domain is the whole projectively extended real line, geometrical definitions using the standard unit circle (i.e., a circle with radius 1 unit) is often used. Modern definitions express trigonometric functions as infinite series or as solutions of differential equations. This allows extending the domain of sine and cosine functions to the whole complex plane, and the domain of the other trigonometric functions to the complex plane (from which some isolated points are removed).
Contents
Right-angled triangle definitions Edit
A right triangle always includes a 90° (π/2 radians) angle, here labeled C. Angles A and B may vary. Trigonometric functions specify the relationships among side lengths and interior angles of a right triangle.
Plot of the six trigonometric functions, the unit circle, and a line for the angle θ = 0.7 radians. The points labelled 1, Sec(θ), Csc(θ) represent the length of the line segment from the origin to that point. Sin(θ), Tan(θ), and 1 are the heights to the line starting from the x-axis, while Cos(θ), 1, and Cot(θ) are lengths along the x-axis starting from the origin.
In this section, the same upper-case letter denotes a vertex of a triangle and the measure of the corresponding angle; the same lower case letter denotes an edge of the triangle and its length.
Given an acute angle A = θ of a right-angled triangle, the hypotenuse h is the side that connects the two acute angles. The side b adjacent to θ is the side of the triangle that connects θ to the right angle. The third side a is said to be opposite to θ.
If the angle θ is given, then all sides of the right-angled triangle are well-defined up to a scaling factor. This means that the ratio of any two side lengths depends only on θ. Thus these six ratios define six functions of θ, which are the trigonometric functions. More precisely, the six trigonometric functions are:[4][5]
sine
{\
what is the half way point for 20000 and 30000
Answers
determine the measure of angle a. PLEASE HELP ASAP!
a.64 degrees
b.45 degrees
c.88 degrees
d.42 degrees
Answers
Answer:
D
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle will always total 180.
Therefore:
[tex](9x+6)+(74)+(16x)=180\\[/tex]
Let’s solve for x:
Combine LIke Terms:
[tex](9x+16x)+(74+6)=180[/tex]
Add:
[tex]25x+80=180[/tex]
Subtract 80 from both sides:
[tex]25x=100[/tex]
Divide both sides by 25:
[tex]x=4[/tex]
Therefore, the value of x is 4.
Now, to find A, we can substitute it for A.
A is measured by:
[tex]\angle A=9x+6[/tex]
Substitute 4 for x and evaluate:
[tex]\angle A=9(4)+6=36+6=42\textdegree[/tex]
Hence, our answer is D.
y= 2x-4
6r - 3y = 12
Answers
Carlos is making party favors. Every bag has exactly the same treats in it. Carlos has 96 granola bars and 64 popcorn balls. What is the greatest number of party favors Carlos can make?
Answers
Answer:
32
Step-by-step explanation:
Given that:
Number of granola bars = 96
Number of popcorn balls = 64
Greatest number of party favors that can be made from granola bars and popcorn balls ;
Obtain the greatest common factor of both 96 and 64
Factors of :
96 : 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
64 : 2, 4, 8, 16,32
greatest common factor is 32,
Hence, greatest number of party favors that can be made is 32
Solve for the missing arc measure, angle measure, or variable.
m < BOC = _____ degrees.
Please help! I’ll give brainliest!!
Answers
Answer:
110
Step-by-step explanation:
The answer is 110 degrees. The reason is hard to put into simple language.
If the central angle and the acute angle hitting the circumference share the same end points, then the central angle is double the arc whose vertex is on the circumference.
Read that sentence a couple of times. I don't know how to make it simpler.
The arc angle and the central angle both have B and C as their end points.
The arc angle is on the circumference of the circle. The vertex (A) of BAC is on the circumference. If mine is the only answer, wait a few days before awarding a Brainliest. A thanks will do.
If f(x)=x2-1, what is f(4)?
Answers
4^2-1
16-1
Answer
15
Answer: 15
Step-by-step explanation:
Substitute 4 in x.
What is the measure of Zx in the diagram shown below?
A
23°
B
33°
С
113°
157°
Answers
Answer:
Since that is a right angle it is going to equal 90 degrees. Since you know that the first angle is 67 degrees subtract 67 from 90 and get 23 degrees.
Step-by-step explanation:
Use a quick picture to model 0.62 -0.18. Then write in your answer.
Answers
Answer:
0.44
Step-by-step explanation:
Subtraction is just like addition. How much do you need to make 0.18 0.62? then you have your answer. This is just a strategy.
Kurt spots a bird sitting at the top of a 40 foot tall telephone pole. If the angle of elevation from the ground where he is standing to the bird is 59 ° , how far is Kurt standing from the base of the pole?
Answers
Answer:
i guess its 24.03 ft
Step-by-step explanation:
let height of pole be perpendicular length and distance from pole be the base .so tan59=P/b..& b= 24.03ft
use the line tool and select two points to graph the line
graph f(x) = - 0.25x + 4
Answers
Answer:
8,2 and 0,4 are the points you need on the graph
Step-by-step explanation:
For f(x)=x+1 and g(x)=3x+5, find (f+g)(2)
Answers
Answer:
8x + 12
Step-by-step explanation:
Solve 2y - 14 = -8 for y
Answers
Answer: y = 3
Step-by-step explanation:
2y - 14 = -8
2y - 14 + 14 = -8 + 14
2y = 6
y = 3
PLEASE HELP ASAP VERY IMPORTANT I WILL DO ANYTHING THNK YOU SO MUCH ITS MY BDAY TMRW TOO
Answers
Answer:
i dont have the answers i just wanted to say happy b day
Step-by-step explanation: