Answer:
x=4
Step-by-step explanation:
multiply first eq. by 3 and second by 4 to get rid of y
15x+12y=24
8x-12y=68
add the equations
23x = 92
divide both sides by 23
x=92/23=4
Answer:
x = 4
Step-by-step explanation:
Given the 2 equations
5x + 4y = 8 → (1)
2x - 3y = 17 → (2)
Multiplying (1) by 3 and (2) by 4 then adding will eliminate the y- term
15x + 12y = 24 → (3)
8x - 12y = 68 → (4)
Add (3) and (4) term by term to eliminate y, that is
23x = 92 ( divide both sides by 23 )
x = 4
The distance of a golf ball from the hole can be represented by the right side of a parabola with vertex (−1, 8). The ball reaches the hole 1 second after it is hit, at time 0. What is the equation of the parabola, in vertex form, that represents the ball's distance from the hole, y, at time x
Answer:
The required equation is:
[tex]y = -\frac{4}{3}t^2 -\frac{8}{3}t + 4[/tex]
Explanation:
Let us assume that the hole is at y = 0m, with x as the time.
From the question we have (-1s, 8m) as the vertex (here x being the time variable is supposed to be in seconds and y being the distance variable is supposed to be in meters)
At x = 1s, the ball gets to the hole, therefore we have point (1s, 0m)
We know that the vertex of the parabola y = ax² + bx + c is at
[tex]x =\frac{-b}{2a}[/tex]
therefore we have:
[tex]-1 = \frac{-b}{2a}[/tex]
We then have the following equations:
[tex]8 = a\times -1^2 + b\times -1 + c[/tex]
[tex]0 = a\times -1^2 + b\times 1 + c[/tex]
[tex]-1 = \frac{-b}{2a}[/tex]
From the 3rd equation we have
1 X 2a = b.
Therefore we have:
[tex]8 = a\times -1^2 - 1\times 2a\times1 + c[/tex]
[tex]0 = a\times 1^2 + 1 \times2a\times 1 + c[/tex]
We can simplify both equations and get:
[tex]8 = a\times( -1^2 - 2s^2) + c = -a\times 3^2 + c[/tex]
[tex]0 = a\times(1^2 + 2^2) + c = a\times 3^2 + c[/tex]
The first equation now becomes:
[tex]8 = -a\times 3 - a\times 3 = -a\times 6[/tex]
[tex]a = frac{8}{-6} = -\frac{4}{3}[/tex]
With a, we can find the values of c and b.
[tex]c = -a\times3 = -(-\frac{4}{3})*3 = 4 [/tex]
[tex]b = 1\times 2a = 1\times 2(-\frac{4}{3})= -\frac{8}{3}[/tex]
Then the equation is:
[tex]y = -\frac{4}{3}t^2 -\frac{8}{3}t + 4[/tex]
please please answer .
Answer:
1025
Step-by-step explanation:
31 = - (1 +6p ) +4(p + 6 )
Answer:
p = -4
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Answer:
p = -4
Step-by-step explanation:
I'm not going to explain each step, just try to follow along.
31 = -(1+6p)+4(p+6)
31 = -1-6p+4p+24
7 = -1-2p
8 = -2p
p = -4
I hope this helps!
Mrs. Petruzziello baked pizzas. 2 out of 10 of the pizzas are vegetarian. Her husband says this is 2%. Is he correct? How do you know. Show your answer using a model (tape diagram, double number line, grid).
9. A contestant on a game show must guess the price of a new car. The contestant will
win if his guess is within $1000 of the price of the car. If the price of the car is
$24,995 and the contestant's guess is represented by g, what absolute value
inequality represents this situation?
Given :
A contestant on a game show must guess the price of a new car. The contestant will win if his guess is within $1000 of the price of the car.
To Find :
If the price of the car is $24,995 and the contestant's guess is represented by g, what absolute value inequality represents this situation.
Solution :
Let, range in which participant guess would be considered correct is r.
So, r should be in range $( 24,995 ± 1000 ).
( 24,995 - 1000 ) ≤ r ≤ ( 24,995 + 1000 )
23,995 ≤ r ≤ 25,995
Therefore, the correct inequality is 23,995 ≤ r ≤ 25,995 .
Hence, this is the required solution.
cos(x+y) + cos(x-y) = 2cosx cosy
Answer:
Step-by-step explanation:
the given equation
cos(x+y)+cos(x-y)=2cos(x)*cos(y)
[cos(x)cos(y)-sin(x)sin(y)]+cos(x-y)=2cos(x)*cos(y) ..
[cos(x)cos(y)-sin(x)sin(y)]+[cos(x)cos(y)+sin(x)sin(y)]=2cos(x)*cos(y)
[cos(x)cos(y)+cos(x)cos(y)]]+[sin(x)sin(y)-sin(x)sin(y)]=2cos(x)*cos(y) ..
2cos(x)*cos(y)=2cos(x)*cos(y)
L.H.S=R.H.S
Hence proved
Which inequality represents all the solutions of -5x + 5 ≥ 160 − 10x? A. x ≤ -33 B. x ≥ 33 C. x ≥ 31 D. x ≤ 31
Answer:
The answer is B.
Step-by-step explanation:
Solve for x.
-5x + 5 [tex]\geq[/tex] 160 - 10x
Add 10x to both sides, and subtract 5 from both sides.
5x [tex]\geq[/tex] 155
Now, divide by 5.
x [tex]\geq[/tex] 31 is the answer
#teamtrees #WAP (Water And Plant)
The inequality represents all the solutions x ≥ 31. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given as,
−5x + 5 ≥ 160 − 10x
Simplify the equation, we have
10x – 5x ≥ 160 – 5
5x ≥ 155
x ≥ 31
Then the correct option is C.
More about the inequality link is given below.
https://brainly.com/question/19491153
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a) Name 2 different segments.
b) Name 2 different lines.
c) Name one angle
x
d) The name Angle A is too vague. Why?
e) What Kind of angle has less than 90 degrees?
f) Draw a right angle here.
8) Define supplementary angles.
b) Name AC in another way
The furniture store bought a table for $200, and sold it for $350. What was the percent increase of the price of the table.
Answer:
it was
Step-by-step explanation:
150 are dumb..
Which of the following is a rational number?
22, 23, 24, 25
Answer:
24
i think:)
Step-by-step explanation:
Does anyone know the answer
Answer:
i believe it’s c
Step-by-step explanation:
Answer:
[tex]\frac{4.2}{2.8}[/tex]
Step-by-step explanation:
since [tex]\frac{a}{b}[/tex] is proportional to [tex]\frac{2.1}{1.4}[/tex], then look at the answer choices.
I noticed the second option [tex]\frac{4.2}{2.8}[/tex] is the answer because if you multiply by 2 you get this answer
What’s 14/4 as a decimal
Answer:
3.5
Step-by-step explanation:
You would do 14 divided by 4! Hope this helped
Answer:
3.5
Step-by-step explanation:
14 divided by 4 equals 3.5
10 + 2 - 3 = 3(2 + 2)
Answer:
My answer is = 9 cannot equal 12. There are no variables present in this equation, so what are you solving for?
Step-by-step explanation:
On the right you would use distributive property and on the left you would just simply add and subtract.
However, you cannot equal it to zero either because there are no variables nor exponents.
en una caja hay 8 canicas cinco rojas y tres verdes y la Bola que se retira no se reemplaza determina Cuál es la probabilidad de sacar dos bolas verdes
Answer: 0.107
Step-by-step explanation:
En una caja tenemos 8 canicas.
5 son rojas
3 son verdes.
Se retira una canica, y no se remplaza.
Quiero calcular la probabilidad de sacar dos canicas verdes.
La probabilidad de sacar una canica verde en el primer intento, es igual al cociente entre el numero de canicas verdes y el numero total de canicas.
p1 = 3/8
Ahora, en el segundo intento, en la caja voy a tener 2 canicas verdes (por que ya saque una) y 7 canicas en total. Entonces la probabilidad va a ser:
p2 = 2/7.
Y la probabilidad conjunta (es decir, la probabilidad de sacar las dos canicas de color verde) va a ser igual al producto de las probabilidades individuales.
P = p1*p2 = (3/8)*(2/7) = 0.107
Write an expression to find how many times Jason will blink in 60 minutes if he continues to blink 19 times a minute.
Need help ASAP
solve the equation:
3(2x+5)= 3
What does x equal
- x=2
- x= -2
- x=6
Which of the following units are units of capacity?
A)ml
B)mm
C)tonne
D)mg
E)cl
F)kg
G)cm
H)km
I)m
j)g
K)l
Answer:
A, D, E, F, J, and L
Explanation :
These units can hold things!
TEST ITS TIMED
In the figure, line a is parallel to line b.
Which angles are supplementary to angle 7? Select THREE that apply
Answer:
Angle 6, Angle 8, Angle 2, and Angle 4 are supplementary to Angle 7.
I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day!
Supplementary angles are the angle whose sum is 180° thus the angles which are supplementary to angle 7 are 8 and 6.
What is an angle?The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
The supplementary angle is two angles whose sum is 180°.
It is known that the sum of two angles on a straight line is 180°.
The angles 7 and 8 are on a straight line thus 7 + 8 = 180°.
So, they will be supplementary angles.
Angles 7 and 6 are in a straight line.
Thus, 7 + 6 = 180°.
Hence "Supplementary angles are the angle whose sum is 180° thus the angles which are supplementary to angle 7 are 8 and 6".
For more about the angle,
brainly.com/question/13954458
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Please help! I don't understand!
Answer:
F
Step-by-step explanation:
Answer: G.
Step-by-step explanation:
Just try it out please, I'm 99.9% sure about this answer.
Who is correct
Thanks who ever helps me!!!
Answer:
Benett
Step-by-step explanation:
Answer: Betty
Step-by-step explanation:
Bennet isn't correct because we can plug in 300 for r. It will become 300= 50t, and solving for t, we get that it would take 6 minutes.
Betty is correct because we can change the variables r and t to y and x respectively. In this case, 50 would be the constant of proportionality, or k.
when adding or subtracting outside parentheses or absolute value bars , what is the transformation of the function
is -33 an integer?
Answer:
Yes
Step-by-step explanation:
An integer, also called a "round number" or “whole number,” is any positive or negative number that does not include decimal parts or fractions. For example, 3, -10, and 1,025 are all integers, but 2.76 (decimal), 1.5 (decimal), and 3 ½ (fraction) are not an integer.
Please help me out!
Answer:
4/11=.363636....
I hope this is good enough:
4 more than the quotient 12 and a number x
More than means to add.
Quotient means to divide.
4 + (12/x)
The required expression is 4 + (12/x).
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now the given statement is,
4 more than the quotient 12 and a number x
Now, converting the statement into numerical form.
Since more than is addition.
Thus, 4 more than = 4 +
and, quotient 12 and a number x = 12/x
Thus, 4 more than the quotient 12 and a number x = 4 + 12/x
this is the required expression.
Thus, the required expression is 4 + (12/x).
To learn more about numerical expression:
brainly.com/question/21798279
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Which of the following quantities is a velocity?
A. 25m/s
B. 3g/L in weight
C. 15m/s2
D. 10km/he eastward
Answer:
A
Step-by-step explanation:
The graph shows a journey in a car. Which of the statements most likely describes the journey at the portion of the graph labeled J?
A line graph is drawn on the first quadrant of a coordinate plane. The x-axis is labeled Time in seconds, and the y-axis is labeled Distance in miles. The line graph is divided into 7 segments labeled I, J, K, L, M, N, and O. I starts at the origin and is a straight line slanting up. J is a line segment that starts at the end of I and is horizontal. K is a curve that starts at the end of J and curves up. L is a straight line that starts at the end of K and is horizontal. M is a straight line that starts at the end of L and slopes down. N is a straight line that starts at the end of M and is horizontal. O is a curve that starts at the end of N and curves down to finally touch the x-axis.
The car continues its journey because the portion shows a linear function.
The car is waiting at the starting point because the portion shows a constant function.
The car is traveling the same distance per unit of time because the portion shows a linear function away from the starting point.
The car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.
Answer: Your answer my friend is D, The car stops a distance away from the starting point because the portion shows a constant function away from the starting point.
Step-by-step explanation:
The graph you have explained shows that at J it is a linear or horizonltal line. Whisch means the car is stopped for that period but it is not at the very beginning. Yw
Based on the information given regarding the graph, the correct option is D. The car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.
Solving the graph.From the information given, it was stated that the graph shows a journey in a car and that the x-axis is labeled Time in seconds, and the y-axis is labeled distance in miles.
Therefore, the statement that most likely describes the journey at the portion of the graph labeled J is that the car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.
Learn more about graphs on:
https://brainly.com/question/26013847
HELP!!! 50 POINTS!! I WILL REPORT IMPROPER ANSWERS!!!
Answer & Explanation:
1.) Which function is a linear function?
The answer is B. [tex]y+7=5x[/tex]
2.) If the function [tex]y=x^a-31[/tex] is a linear function, what is the value of [tex]a[/tex]?
The answer is A. [tex]1[/tex]
3.) What type of function is the function representing Sully's speed?
The answer is C. It is a nonlinear function.
hope this helps :)
Answer Key With The Given Explanation:
For question #1: Which Function is a linear equation?The correct option answer is B. [tex]y+7=5x.[/tex]
2. For question #2: If the function [tex]y=x^{a}-31[/tex] is a linear function, what is the value of a?
The correct option answer is A. 1.
3. And last but not least is for question #3. What type of the function is the function representing Sully's speed?
The correct option answer is C. It is a nonlinear function.
I hope my answer key with the given explanation is very helpful to your own question about the multiple choices of the linear functions and have a great rest of the day! :D
Sincerely,
Jason Ta,
The Ambitious of Brainly And The Role of The TDSB And WHCI Student of The High School.
Write 4(2z+5) in expanded form
Answer:
8z + 20
Step-by-step explanation:
f(z) = 4(2z+5)
= 4*2z + 5*4
= 8z + 20
Eliza bought a video game for $39.99. Sales tax is 7%. How much money in total does she need to give the cashier?
Out of 2,4,7,8,12,15,19,24,34 wich is not a multiple of 4
Answer:
2, 7, 15, 19, 34
Step-by-step explanation:
First, we have to know what a multiple is. A multiple is a number (n) that can be evenly divided by a certain base number (b). An evenly divided number is one that has no decimal points (ex: 1, 100, 24). For example, the multiples of 8 (b) would be 16, 24, 32, etc (n). Another example would be that 32 is a multiple of 2, 8, 16, etc. since it can be evenly divided by those numbers.
In this case, n = each of the numbers in that list, while b = 4. So now we just have to look at what numbers in our list can be evenly divided by 4.
2 is not a multiple since it cannot be evenly divided by 4, since it is less than 4.4 is a multiple of 4, since 4/4 = 1, and 1 is evenly divided.7 cannot be evenly divided by 4, and thus is not a multiple of 4.8 can be evenly divided by 4, since 8/4 = 2, and thus is a multiple of 4.12 can be evenly divided by 4, since 12/4 = 3, and thus is a multiple of 415 cannot be evenly divided by 4, and thus is not a multiple of 419 cannot be evenly divided by 4, and thus is not a multiple of 4.24 can be evenly divided by 4, since 24/4 = 6, and thus is a multiple of 4.34 cannot be evenly divided by 4, and thus is not a multiple of 4Since we're asked to find the numbers that are not multiples of 4, our answer to the question would be:
2, 7, 15, 19, 34