A system of equations is shown below:
2x = 5y + 4
3x − 2y = −16
What is the solution to this system of equations? (5 points)
Answer:
x = -8, y = -4
Step-by-step explanation:
First we want to write the equations so the variables line up
[tex]2x - 5y = 4\\3x - 2y = -16\\[/tex]
Next, we could either multiply one of the equations to cancel out the x's or the y's, either one works.
I will choose to cancel out the x's
[tex]-3R_1 + 2R_2\\-6x + 15y = -12\\6x - 4y = -32[/tex]
add the equations and solve
[tex]11y = -44\\y = -4[/tex]
once you have one variable, you can use it to solve the other
[tex]2x - 5(-4) = 4\\2x + 20 = 4\\2x = -16\\x = -8[/tex]
verify
[tex]3(-8) - 2(-4)\\-24+ 8\\-16\\[/tex]
it works
Brainliest to the correct answer ( Evaluate 7 - 5p + 3q when p = 1 and a = 7.)
Answer:
23
Step-by-step explanation:
7 - 5p + 3a
7 - 5(1) + 3(7)
7 - 5 + 21
2 + 21
23
A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Answer: D) It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Step-by-step explanation:
slope is y2-y1/x2-x1
20-10/7-7
10/0
denominator can't be 0
Answer:
D
Step-by-step explanation:
cause i said so
What is the value of x x+18+5x-6=180
Step-by-step explanation:
I Hope it helps you . Hope it will
Answer:X=28
Step-by-step explanation:
first you combine the like terms wich are x and 5x also -6 and 18
second your equation will be 6x+12=180
Third you subtract 12 from each side
4th you divide each side by 6 to simplify the x
5th your anwse would be x =28
h(x)=x−11 i don't get it
Kenson and Shelly are each saving money.
• Kenson has $60 in savings and will save an additional $12 every week.
• Shelly has $85 in savings and will save an additional $7 every week.
Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
A. 720 + 60w = 595 + 85w
B. 7w + 595 = 12w + 720
C. 60 + 7w = 85 + 12w
D. 60 + 12w = 95 + 7W
Answer:
D.
Step-by-step explanation:
D. 60 + 12w = 95 + 7W
what type of number is -15
Answer:
an integer
Step-by-step explanation:
integers are whole number that includes positive number, negative numbers, and zero
-1/10 divided by 1/6
[tex]-0.6[/tex]
For more help, Take a look at this chart.
Answer:
-3/5
Step-by-step explanation:
-1/10 divided by 1/6
-1/10 x 6/1
-6/10 the divided by 2
-3/5
Bill can hit a bucket of 32 golf balls in 17 hours.
How much could he hit in 23 hours
17x = 32
x = 1.882
23x = 23 x 1.882 = 43.286 = 43 balls
A scared tarantula was able to go a distance of 20 meters in 6 seconds. What was its
average speed?
Answer:
3.33 m/s
Step-by-step explanation:
speed = [tex]\frac{meters}{seconds} > \frac{20}{6} = 3.33[/tex]
2 (k + 2) = 8k - 5 - 3k
Answer:
k=3
Step-by-step explanation:
Answer:k=3
Step-by-step explanation:
What is the area of this figure?
13 in
6 in
8 in
s in
5 in
17 in
10 in
Write your answers using decimals, If necessary.
Answer:
If i am correct the area should 337inches..........
Step-by-step explanation:
my reason is becuase if you multiply these numbers
13* 6 = 78 and 8 * 8 = 64 and 10 * 17 + 170 and last 5 * 5 = 25
they you add 170+ 78 + 64 + 25 = 337inches so means the answer is 337 Your Welcome :D
If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2
Answer:
x = -2 or x = -1/2
Step-by-step explanation:
We can just set up an equation where the quadratic is equal to -10, and then solve the equation:
[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]
Now, factor:
[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]
what is the equation in slope intercept form 6x-4y=12 ?
Answer:
y=6/4x-3
Step-by-step explanation:
First, you isolate the y, by subtracting 6x from each side. Then, you divide by -4 on both sides to isolate it to an individual y.
Answer:
Slope = 6/4 or 1 1/2
Step-by-step explanation:
Step 1:
6x - 4y = 12 Equation
Step 2:
y = mx + b Slope Intercept Form
Step 3:
- 4y = - 6x + 12 Subtract 6x on both sides
Step 4:
y = 6/4x + 12 Divide 4 on both sides
Answer:
Slope = 6/4 or 1 1/2
Hope This Helps :)
Please answer will mark brainliest
which is bigger. 34 1/2 or 34.5
Answer: They are equal.
Step-by-step explanation:
34 1/2 equals 34.5 in decimal form
34.5 equals 34 1/2 in fractional form
(.5 equals 1/2)
Alright then! First question!
A graph has height (inches) on the x-axis and arm span (inches) on the y-axis. Points are at (30, 27), (45, 45), (53, 50), (60, 60), (67, 70), and (73, 72).
Identify if there is a relationship between the variables.
(A) No, there is no relationship because the points are all up and down.
(B) Yes, the relationship displayed shows arm span increasing as height increases.
(C) Yes, the relationship displayed shows arm span decreasing as height increases.
Answer:
hmmm...i wanna go with B
Step-by-step explanation:
because it goes from 30 to 45 and 45 and 45 to 53 to 50 then the 50 goes 60 meaning their both increasing as it it goes on
at least i believe im right haha hope this helped if its not to late
Answer: The answer is (B) Yes, the relationship displayed shows arm span increasing as height increases.
Step-by-step explanation: I got the answer correct hope this helps!
Erica and 4 friends are going out for pizza for dinner. They split one pizza and 5 small drinks. The pizza costs $13.00. They spend a total of $20.50. Find the cost of one small drink. Define the variable, write and solve an equation, and answer the question.
to find the cost of a small drink, you might want to:
subtract the decimalstotal cost : $20.50
cost of pizza :$13.00.
cost of one small drink : total cost - cost of pizza
: $20.50 - $13.00.
: 20.50
- 13.00
: 07. 50
: $ 7.50
OMG Help Me !Select all the correct answers. Which tables represent constant functions? Pick 2 and show your work. No guessing.
x y
2 -1
2 0
2 1
x y
2 -3
4 -7
6 -11
x y
2 3
4 3
6 3
x y
1 3
2 12
3 27
x y
1 -1
2 -1
3 -1
Tables 1 and 2 because they move at a constant rate of change and they are linear functions with a slope.
Table 3 is not a function because there is more than one input for each output.
Table 4 is an exponential equation with the equation y = 4x^2
Table 5 is not a function for the same reason as table 3.
Answer:
Yes! The answer is A and B. Or the 1st and 2nd ones.
Step-by-step explanation:
Can you please answer this my homework is due ✨
What is the range of the following graph?
Answer: 6
Step-by-step explanation: 8 - 2 = (6) Range is the difference between the highest and lowest number just for future references. Hope this helped! :)
Answer: i think is 8 also that person already explain
Step-by-step explanation: have a nice day
HELPPP !! LOOK AT PICTURE
The function, f(x), is a third-degree polynomial whose
zeros are shown on the number line. Use the function
values below to determine the solutions set of f(x) < 0.
Answer:
A) (-infinity,-2] and D) [0,2]
Step-by-step explanation:
Larry spends a total of 45 minutes running. He begins at a pace of 8 miles per hour and then reduces his speed to 5 miles per hour. Let t represent the number of minutes Larry spent running at the faster pace. Larry models his distance with the expression 8t+5(45−t) to model the situation. Did Larry correctly model the situation
Answer:
Yes, he did
Step-by-step explanation:
We have that:.
Total time = 45
At time t, he moves at 8mph.
This gives: 8t
The time left is: 45 - t and he moves at 5mph, this gives 5(45 - t).
Hence, the total is
8t + 5(45 - t)
By comparison, we can conclude that Larry modeled the situation correctly.
Write the inverse function for the function, ƒ(x) =x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
ƒ -1(x) =
ƒ -1(4) =
Answer:
f-1(x)=x-4
f-1(4)=0
Step-by-step explanation:
to get an inverse function, replace x with y, and y with x.
y=x+4 ---> x=y+4
solve for y: x=y+4 --> y=x-4 --> f-1(x)=x-4
f-1(4)=(4)-4=0
How do you write -4.50 as a mixed number
Answer:
-9/2
Step-by-step explanation:
Ken went to a county fair and spent $5 on admission, $6.50 on games, and $7.21 on food. If he had $30 before he went to the fair, how much money does he have left?
Answer:
11.29 left
Step-by-step explanation:
30 - 5 = 25 - 6.50 = 18.50 - 7.21= 11.29
Answer:
He would have $11. 29 left
Step-by-step explanation:
30-5 =25
25. 00-6.50 = 18.50
18. 50-7.21 = 11.29
6 Ms. Flynn's class is painting a circular canvas. Its diameter is 5 feet. What is
the area of the canvas to the nearest whole number? Use 3.14 for .
What is the measure of 1?
Answer:
93
Step-by-step explanation:
WILL MARK BRAINLEST!!
Solve for y put in slope intercept form
(y = mx + b) to find slope
Y + 6 = 1/2 ( x + 20)
Show work please
A company ships 26 refrigerators in a truck Each refrigerator weighs 309 pounds. What is the total weight of the refrigerators in the truck?
O 2,472 pounds
7,884 pounds
O 8,034 pounds
O 8,294 pounds
Answer:
8034
Step-by-step explanation:
C'mon!!.... easyyyy
309x26 =8034