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solve by substitution: y=3x+14 y=-4x
Answer:
X=-2 and y=8. (-2,8)
Step-by-step explanation:
Let's solve your system by substitution.
y
=
3
x
+
14
;
y
=
−
4
x
Step: Solve
y
=
3
x
+
14
for y:
y
=
3
x
+
14
Step: Substitute
3
x
+
14
for
y
in
y
=
−
4
x
:
y
=
−
4
x
3
x
+
14
=
−
4
x
3
x
+
14
+
4
x
=
−
4
x
+
4
x
(Add 4x to both sides)
7
x
+
14
=
0
7
x
+
14
+
−
14
=
0
+
−
14
(Add -14 to both sides)
7
x
=
−
14
7
x
7
=
−
14
7
(Divide both sides by 7)
x
=
−
2
Step: Substitute
−
2
for
x
in
y
=
3
x
+
14
:
y
=
3
x
+
14
y
=
(
3
)
(
−
2
)
+
14
y
=
8
(Simplify both sides of the equation)
Answer:
x
=
−
2
and
y
=
8
If the given equations are y=3x+14 and y= -4x. The value of x and y for the equation will be -2 and 8 respectively.
What is an equation?Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation.
It is given that the equations are,
y=3x+14 ----------(1)
y= -4x -------------(2)
In order to solve "by substitution," you must first solve one of the equations for one of the variables (you choose which one), plug that solution back into the other equation, "substituting" for the selected variable and then solve for the other.
Substitute the value of y from equation 2 in equation 1 as
y=3x+14
-4x=3x+14
Rearrange the equation in order to find the value of x as
-4x-3x=14
-7x=14
x= -14/7
x= -2
Put the value of x in equation 2 as
y= -4x
y= -4(-2)
y=8
Thus, if the given equations are y=3x+14 and y= -4x. The value of x and y for the equation will be -2 and 8 respectively.
Learn more about the equation here,
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An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $24.6, and the standard deviation is known to be $7.9. How large of a sample would be required in order to estimate the mean per capita income at the 80% level of confidence with an error of at most $0.56? Round your answer up to the next integer.
Answer:
327
Step-by-step explanation:
Calculation for How large of a sample would be required in order to estimate the mean per capita income
First step is to find z 80% confidence level
At 80% confidence level the z will be:
α/2 = 1 - 80% = 1 - 0.80 = 0.20
α/2= 0.20 / 2 = 0.01
Zα/2= Z0.01= 1.28 from z table
Now let calculate the Sample size using this formula
Sample size = n= [( Zα/2* σ ) / E]^2
Let plug in the formula
n = (1.28*7.9/0.56)^2
n= 326.06
n=327 (Approximately)
Therefore How large of a sample would be required in order to estimate the mean per capita income will be 327
Aiman has 6 pizzas to share at a party. If each person will eat 3/8 of a pizza, how many people can share the pizzas?
A 48 people
B 16 people
C 2 people
D 6 people
Answer:
The amswer is B, 16 people.
On a scavenger hunt, you find 16 out of 25 objects. Write "16 out of 25" as a fraction, a decimal, and a percent.
Fraction:
Decimal:
Percent:
I need help ASAP
Answer:
Fraction: 16/25 Decimal: 6.25 Percent: 6%
Step-by-step explanation:
I am 99.99% sure this is right.. I hope it helps you.
The statements "16 out of 25" written in fractional, decimal, and percent form are 16/25, 0.64, and 64% respectively.
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
The Given statement is "16 out of 25".
The statement in mathematical form is:
16/25 (Fraction)
= 0.64 (Decimal)
= 64% (percent)
Hence, the statements "16 out of 25" written in fractional, decimal, and percent form are 16/25, 0.64, and 64% respectively.
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Diyva has 70 rocks.she donates half of the rocks to a science center. then she collects 3 rocks on each of her nature hikes
Answer:
What are you asking here? This is more like a statement.
Step-by-step explanation:
Answer:
I'm just going to assume that your trying to figure out how many rocks she has left, in which case the answer would be 38.
WILL GIVE BRAINLIEST
On a field trip, there are 8 adults and 24 students. What is the ratio of students to the total number of people on the field trip?
8 to 24
3 to 4
1 to 4
32 to 24
Answer:
3:4
Step-by-step explanation:
24 students : 32 people total
Divide both sides by 8
Answer: 3 to 4
this is correct, verified it myself B)
Yesterday, the temperature in a city dropped from 9°C to –9°C, as shown below.
The expression 9 + (–18) represents the final temperature. Which of the following is an equivalent way to describe this temperature?
|–18| degrees in a negative direction from 9 degrees
|–18| degrees in a positive direction from 9 degrees
|–9| degrees in a negative direction from 9 degrees
|–9| degrees in a positive direction from 9 degrees
Answer:
I belive the correct answer might be (A)
At a sale this week, a sofa is being sold for $527. This is a 32% discount from the original price. What is the original price?
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
x=57 degree
Step-by-step explanation:
Answer:
x=57
Step-by-step explanation:
(x-5) + (2x+4) = 180
get all xs on the same side non xs on other side till you get
3x=171
then divide 171 by 3
x = 57
what is the slope of the line passing through the points (0,-5) and (4,2)
Answer: 7/4.
Step-by-step explanation: To find the slope of a line, one must use the formula (y2-y1)/(x2-x1). In this case y2 is 2, y1 is -5, x2 is 4, and x1 is 0. We can plug this into the equation to get 7/4.
Determine the intercepts of the line.
y = 80 - 18
Answer:
Step-by-step explanation:
This equation is in slop-intercept form. This means that the y-int is in the equation, it will always be the constant, so y is -18.
To find x, set y to 0.
0 = 8x - 18
18 = 8x
18/8 = x
9/4 = x
Brenda wants to buy a phone case that costs $35. It is on sale for 20% off. What would be the sales price? What are we finding?
A) part
B) whole
C) percent
Answer:
A
Step-by-step explanation:
can someone help my sister with her module? she in 6th,and i am way to dumb to know how to help her (i gib link)
Answer:
Sure!
Step-by-step explanation:
What is the value for angle 2?
I need help
Answer:
120
Step-by-step explanation:
all complementary angles should add up to 180 degrees
Answer:
the value of 2 is 60
Step-by-step explanation:
I need help with this, Its geometry
Answer:
Step-by-step explanation:
x + 17 + 6x + 10 + 4x - 34 = 180
11x + 27 - 34 = 180
11x - 7 = 180
11x = 187
x = 17
x + 17 = 17 + 17 =34
6(17)+10 = 102 + 10 = 112
4(17) - 34 = 68 - 34 = 34
Answer is D
Need help with geometry question
Answer:
B. 66
Step-by-step explanation:
idk how to explain it without repeating what it says in the answer
Answer:
The answer is:
B) 66 degrees
Step-by-step explanation:
Since the triangle is an isosceles triangle, angle C is the same as angle B.
57 + 57 = 114
Since you know two of the three angles, and you know that a triangle's angles must equal 180 degrees...
180 - 114 = 66
Angle A must equal 66 degrees for the triangle to equal 180 degrees.
I hoped this helped you! If it did, please consider rating and pressing the 'Thanks' button. Have great day!
4 x 7/8 Pls I need help my mom is yelling at me
Answer:
3.5
Step-by-step explanation:
Answer:
7/2 or 3 1/2
Step-by-step explanation:
4 * 7/8 = 4/1 * 7/8 = 28/8 = 7/2 = 3 1/2
Solve the problem. Show your work
Answer:
D correct
Step-by-step explanation:
Add. Write your answer as a fraction in simplest form.
9/10+(-4/5)=?
Answer:
The answer is 1/10
Which set of numbers does NOT describe the side
lengths of a right triangle?
a. 3, 4, 5
b. 5, 12, 13
c. 6, 14, 17
d. 7, 24, 25
4
Answer:
The answer is C
Step-by-step explanation:
You have to do the Pythagorean Theorem.
A. you get 25=25
B. you get 169=169
C. you get 232=289
D. you get 625=625
please i need this quick , it’s so confusing
A rectangular garden has an area of 35 square miles. If its length is 78 miles, what is its width?
Input your answer as a fraction.
Answer:
9/20 mi
Step-by-step explanation:
A= b*hFill in the Values35 = 78 * h
3. divide 35 by 78 = 0.44871794871
4. round that to .45
5. To make a fraction, put it over 100
45/100
7. Simplify fraction
9/20
Estimate:
37 is 60% of what number?
22
B
6
60
2,220
Answer:
60
Step-by-step explanation:
Thirteen-year old Sammy Thompson bought old skateboards at anction for $350.
He fixed them and sold them for $50 each. WRITE an equation to find how many
skateboards Sammy bought to make a $6200 profit.
Answer:
124
Step-by-step explanation:
calculator blablabla
PLEASE HELP ASAP
Factor 3x+6y-9z
best estimate for 7/8-6/11
Answer:
WE ARE GONNA DIE
Step-by-step explanation:
BECAUSE BIDEN IS THE PRESIDENT AND DONALD TRUMP IS NOT. >.< I DONT LIKE BIDEN!!!!
Dierections:Factor out the GCF from the following.Make sure your answer is factored completely by taking out any common numbers and or variables
Answer:
21
Step-by-step explanation:
your mom
slope of the points (11,-20) and (3,-20)
Answer:
the slope is 0.
Answer:
Slope is zero
Lydia ran the same race in 43.85 seconds on her first try and 43.24 seconds on her second try. How much faster was her second try?
Answer:
She ran faster on her second try by 0.61 seconds.
Step-by-step explanation:
43.85-43.24
0.61
You are running a fuel economy study. One of the cars You find is blue a can travel 41 1/2 miles on 1 1/4 gallon of gasoline another car is red a can travel 28/45 miles on 4/5 gallon of gasoline what is the unit rate of miles per gallon for each car which car can travel with a greater distance on 1 gallon of gasoline
Answer:
Step-by-step explanation:
hi !
https://brainly.com/question/5121239
check this someone already asked the question
:)