Answer:
y = 5
x = 1
Step-by-step explanation:
y = 3x + 2
-4x + 4(3x+2)=16
y=3x+2
-4x+(4*3x+4*2)=16
x = 1
y = 5
Answer:
x-coordinate = 1
y-coordinate = 5
Step-by-step explanation:
By using the substitution method, we substitute either x-term or y-term in any equation.
the term must be only the subject in order to substitute in.
Our equation that has only the subject is the first equation.
Substitute y = 3x+2 in the second equation.
[tex] - 4x + 4(3x + 2) = 16[/tex]
Distribute 4 in 3x+2
[tex] - 4x + 12x + 8 = 16[/tex]
The constant cannot add up or subtract with the variable. Therefore, move 8 to subtract 16 on another side.
[tex]12x - 4x = 16 - 8 \\ 8x = 8[/tex]
Move 8 to divide 8 on the another side.
[tex]x = \frac{8}{8} \\ x = 1[/tex]
Our next goal is to find the y-value by substituting x = 1 in any given equation.
I will substitute x = 1 in the first equation. (You can substitute in the second equation if you want.)
[tex]y = 3(1) + 2 \\ y = 3 + 2 \\ y = 5[/tex]
Answer Check
Checking is to make sure that we have got the right answer. We can check the answer by substituting y-value and x-value in both equations.
[tex]x = 1 \\ y = 5[/tex]
First Equation Check
[tex]5 = 3(1) + 2 \\ 5 = 3 + 2 \\ 5 = 5[/tex]
The equation is true. Therefore, the answer is correct for first equation.
Second Equation Check
[tex] - 4(1) + 4(5) = 16 \\ - 4 + 20 = 16 \\ 16 = 16[/tex]
The equation is true. Both equations are true for x = 1 and y = 5.
Therefore, the answer is (1,5)
A town spends 43% of its annual budget on education.
If the town’s budget is one million dollars, how much will be spent on education?
Answer:
430,000 dollars will be spent on education.
Step-by-step explanation:
np
A man owe a debt of 90naira and hes to pay back monthly instalments of 2.50 how many years would it take him to finish paying the debt
Answer:
a man owe a debt of 99 naira
naira pays = monthly installments =2.50
how many years would take him to finish the paying the debit
5years
It would take 3 years for him to finish paying the debt.
Given that,
A man owes a debt of 90naira and has to pay back monthly installments of 2.50.
it is to be determined how many years would it take him to finish paying the debt.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Total loan amount = 90
monthly installment = 2.50
Total months for installments = 90 / 2.20 = 36
Total years = number of months / months in ayear = 36 / 12 = 3
Thus, it would take 3 years for him to finish paying the debt.
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factorize the following
2mh+3mk-2nh-3nk
Answer:
(2h + 3k) (m - n)
Step-by-step explanation:
factor by pairing: pair and factor the first two terms, then pair and factor the remaining two; there should be one factor which duplicates
m is common factor of 1st pair: m(2h+3k)
n is common factor of 2nd pair: n(2h+3k)
answer is one of the duplicate factors (2h+3k) times terms not contained in parentheses (m+n)
Answer:
[tex](2h+3k)(m-n)[/tex]
Step-by-step explanation:
[tex]2mh+3mk-2nh-3nk[/tex]
Just look at the common terms
[tex]2mh-2nh-3nk+3mk = 2h(m-n)-3k(n-m) = 2h(m-n)+3k(m-n)[/tex]
By grouping we have
[tex]2h(m-n)+3k(m-n) =\boxed{(2h+3k)(m-n)}[/tex]
I’ve post this like 5 times no one has answered it please help hehe
Answer: UT
Step-by-step explanation:
Not sure but side BC is more elevated and looks similar to side UT in the other shape.
11. Determine the solutions to the inequality in interval notation.
(x - 1)(x + 3) < 0
a. (-0, -3) U (1,0)
b. (-3,1)
c. (-0, -1) U (3)
d. [-3,1]
9514 1404 393
Answer:
b. (-3, 1)
Step-by-step explanation:
Quadratic (or any higher-degree) inequalities are nicely solved from their factored form. The factors tell you where the function is zero. Their signs tell you whether the product is greater than or less than zero.
Here the factor (x-1) tells you the function is zero at x=1, where this factor is zero. For values of x > 1, this factor is positive.
The factor (x+3) tells you the function is zero at x=-3, where this factor is zero. For values of x > -3, this factor is positive.
Now we know the signs of the factors are the same for x < -3 (both negative) and for x > 1 (both positive). Between these values, the factors have different signs, so the function value is negative. This interval (-3, 1) is the interval that is the solution to ...
(x -1)(x +3) < 0
K is the midpoint of PQ, P has
coordinates (-9,-4), and K
has coordinates (-1, 6). What
are the coordinates of Q?
A (-5, 1) C (-11,8)
B (5, 10) D (7.16)
Answer:
Coordinates of Q [tex](x_2,y_2) \:are\: \mathbf{(7,16)}[/tex]
Option D is correct option.
Step-by-step explanation:
We are given:
K is the midpoint of PQ
Coordinates of P = (-9,-4)
Coordinates of K = (-1,6)
We need to find coordinates of Q [tex](x_2,y_2)[/tex]
We will use the formula of midpoint: [tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
We are given midpoint K and [tex]x_1,y_1[/tex] the coordinates of P we need to find [tex]x_2,y_2[/tex] the coordinates of Q.
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\[/tex]
Now, we can write
[tex]-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16[/tex]
So, we get coordinates of Q [tex](x_2,y_2) \:are\: \mathbf{(7,16)}[/tex]
Option D is correct option.
Pls help and show workings
Pls, best get brainiest
Answer:
AB is 104
Step-by-step explanation:
In the given figure
∵ CE bisects the segment AB
→ That means CE intersects AB at the midpoint of AB
∵ CE ∩ AB at point F
∴ F is the midpoint of AB
→ The midpoint of a segment divides it into two equal parts
∵ The point F divides AB to FA and FB
∴ FA = FB
∵ FA = 7x + 10
∵ FB = 9x - 2
→ Equate them
∴ 9x - 2 = 7x + 10
→ Add 2 to both sides
∵ 9x - 2 + 2 = 7x + 10 + 2
∴ 9x = 7x + 12
→ Subtract 7x from both sides
∵ 9x - 7x = 7x - 7x + 12
∴ 2x = 12
→ Divide both sides by 2
∴ x = 6
→ Substitute the value of x in FA and FB
∵ FA = 7(6) + 10 = 42 + 10 = 52
∵ FB = 9(6) - 2 = 54 - 2 = 52
∵ AB = FA + FB
∴ AB = 52 + 52 = 104
∴ AB = 104
How much did the pennies weigh in pounds (lbs)?
Answer:
3520 pounds
Step-by-step explanation:
First, we have to find how many pennies equal 2.2 lbs
By seeing that 1 penny equals 4 grams, we can divide 4 into 1,000
By doing this we can find out how many pennies equals 2.2 lbs
It is 250 pennies per 2.2 lbs
Now, it wants 400,000 pennies
So we can do 400,000/250
Which is 1600
1600*2.2 is 3520
So the answer is 3520 pounds
what is m% of p% of n?
MY LAZY BUTT DON'T WANNA DO THIS
Please help! Will mark brainlessest
Pls help me with this
Answer:
x=0
Step-by-step explanation:
Key skills needed: Proportions, Cross multiplication, One variable Equations, Multiplication
1) Since this is a proportion, we need to cross multiply. A proportion is just 2 fractions equal to each other in this format.
---> Cross multiplication is when you multiply the first fraction's numerator by the second fraction's denominator, and you multiply the first fraction's denominator by the second fraction's numerator.
---> You set these products equal to each other.
2) So if we cross multiply it would be: 3(3x+5) = 5(3-2x)
---> If you multiply everything out, it would be --> 9x + 15 = 15 - 10x
3) Move the x terms to one side and the numbers to the other side
---> 9x + 10x = 15-15
4) Combine like terms (9x+ 10x= 19x) (15-15=0) 19x = 0
5) Divide by 19 and x=0.
Hope you understood and have a nice day!! :D
HELP: Can a triangle have 2 right angles in it? EXPLAIN your answer.
Answer:
No
Step-by-step explanation:
Because of the fact that the sum of the three interior angles of a triangle must be 180 degrees, a triangle could not have two right angles.
Answer:
No it cannot
Step-by-step explanation:
the sum of the angles of the triangles has to be 180 so if you have two right angles then the last angle has to be 0 which is not possible
Conroy Creations has been hired to create invitations to the Spring Gala. The
invitations are to be created using a 6 inch by 4 inch sheet of paper folded
horizontally. Inside the invitation includes a large image in the center so that
when the card is opened it illustrates a reflection over the fold of the card.
Which figure below could be used as the center of the invitation
Answer:
D
Step-by-step explanation:
The given sheet of paper is folded horizontally, thus a pattern with respect to the fold is formed inside the paper. This pattern would in the form of two lines crossing each other at right angles.
To illustrate a reflection over the fold of the card, the pattern in option D could be used as the center of the invitation.
Therefore, the correct option is D.
what’s the distance? between j and n
Answer:
Exact Form:
2 √ 17
Decimal Form:
8.24621125 …
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. The friends spend a total of $62.50. Let x be the price of a small bag of popcorn.
Which equation represents the situation?
62.50 + 8x = 40
40 + 8x = 62.50
40 + 5x = 62.50
62.50 + 5x = 40
Answer:
40+5x=62.50
Step-by-step explanation:
8 friends 5 dollars is 40 dollars. Each popcorn bag is 2.5
40+5(2.5)=62.5
40+12.5=62.5
Answer:
62.50 + 8x = 40
Brailest plez and ill give you brainiest!
Step-by-step
1.
Which shows the following numbers in order from least to greatest?
124, 12.62, 12.39, 124
a. 12.39, 12.62, 124, 124
b. 12.39, 123. 12.62, 12
c. 128. 12.39, 12.62, 124
d. 124. 124, 12.62, 12.39
(20 points)
Answer: a. 12.39, 12.62, 124, 124
Step-by-step explanation:
The given numbers are : 124, 12.62, 12.39, 124
By using decimals , we convert them into like decimals .
124.00, 12.62, 12.39, 124.00 (To two decimal places)
Now , Least number = 12.39 , Greatest number = 124.00 (Which is repeating)
In order from least to greatest : 12.39, 12.62, 124, 124.
Hence, the correct option is : a. 12.39, 12.62, 124, 124
two functions a and b are described as follows function a: y=8x+3 function b:the rate of change is 1 and the y intercept is 4 how much more is the rate of change of function abthan the slope of function b 1 7 8 9
Answer:
7
Step-by-step explanation:
rate of change of function not necessary mean linear, it can be the slope of a tangent line.
a: y=8x+3 slope = 8
b: rate of change: 1
8-1=7
I wish this is true...
What is the limit of the function?
Select True or False for each limit statement.
Answer:
false
false
false
...............
The limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
The limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
The right-hand limit of a function is the value of the function approaches when the variable approaches its limit from the right.
The left-hand limit of a function is the value of the function approaches when the variable approaches its limit from the left.
[tex]\lim_{x \to -\infty} (2x^{3} -2x)=\infty[/tex]
This limit function is false.
[tex]\lim_{x \to -\infty} (2x^{4} +6x^{3}-2x)=-\infty[/tex]
This limit function is false.
[tex]\lim_{x \to \infty} (-9x^{5} -6x^{3}-x)=-\infty[/tex]
This limit function is false because it should be positive.
Hence, the limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
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find how long it will take for an investment sum of $40000 to generate simple interest of $8000 at 5% per annum
Answer:
It will take 4 years
Step-by-step explanation:
The formula of the simple interest is I = Prt, where
P is the investmentr is the annual rate in decimalt is the time∵ The investment is $40000
∴ P = 40000
∵ The simple interest is $8000
∴ I = 8000
∵ The rate of interest is 5%
∴ r = 5%
→ Change it to decimal by divide it by 100
∴ r = 5 ÷ 100 = 0.05
→ Substitute them in the formula above
∵ 8000 = 40000 × 0.05 × t
∴ 8000 = 2000t
→ Divide both sides by 2000
∴ 4 = t
∵ t is the time of investment
∴ It will take 4 years
pleasee helpppppppp this needs donee
Answer:
-23
Step-by-step explanation:
firstly u need to substitute a to 1/4 and b to 6
16(1/4) to the power of 2 - 4(6) equal to -23
I need help I will give brainiest
Answer:
22___16___38
29___9___38
51___25___76
Step-by-step explanation:
22+_=_
29+9=_
_+25=_
_______________________________
22+_=_
29+9=38
_+25=_
________________________________
22+16=_
29+9=38
_+25=_
________________________________
22+16=38
29+9=38
_+25=_
________________________________
22+16=38
29+9=38
51+25=_
________________________________
22+16=38
29+9=38
51+25=76
The sum of two consecutive even integers is 118 what are the integers
Answer:
58 and 60
Step-by-step explanation:
well if we say that x is the first integer
then we have that the next one is
x+2
so we have
[tex]x+(x+2)=118\\\\2x+2=118\\\\2x=116\\\\x=58[/tex]
and the other one is
[tex]x+2=58+2=60[/tex]
Answer:
suppose one of our integers is x. then the next one would be x+2(because they are consecutive). so the equation looks like this :
x + ( x + 2 ) = 118 then we'll have : 2x+2 = 118 then : 2x = 116 .
so x would be 58 and the next one would be 60
Step-by-step explanation:
A shoe salesperson sold 20 pairs of shoes for $640. A brown pair of shoes sells for $30 and a black pair for $35. How many brown pairs were sold? A. 12 B. 14 C. 15 D. 8
Answer:
12 pairs
Step-by-step explanation:
Represent Brown with B and Black with A
So:
[tex]A + B = 20[/tex] --- Pairs sold
[tex]30B + 35A = 640[/tex] --- Amount
Required
Solve for B (the brown pairs)
Make A the subject in the first equation
[tex]A = 20 - B[/tex]
Substitute 20 - B for A in the second
[tex]30B + 35(20-B) = 640[/tex]
Open bracket
[tex]30B + 700 - 35B = 640[/tex]
Collect Like Terms
[tex]30B - 35B = 640 -700[/tex]
[tex]-5B = -60[/tex]
Divide both sides by -5
[tex]B = \frac{-60}{-5}[/tex]
[tex]B =12[/tex]
HELP ASAP ILL GIVE YOU 13 points
Answer:
the domain and range can be found by horizontal and vertical test
Step-by-step explanation:
6.B
7.D
8.A
9.C
What is 2 5/13 written as a decimal
Answer:
i hope this helpss
Step-by-step explanation:
3 of 6
Sushil, Natasha & Fiona share some money in the ratio 1:4:2
In total, Sushil and Fiona receive £39
How much does Natasha get?
Answer:
Amount got by Natasha = £52
Step-by-step explanation:
Given that:
Ratio of Sushil, Natasha and Fiona's share = 1:4:2
Amount of money received by Sushil and Fiona = £39
Let,
x be the number of times.
x+2x = 39
3x = 39
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{39}{3}\\x=13[/tex]
Share of Natasha = 4x = 4(13) = £52
Hence,
Amount got by Natasha = £52
Factor completely. 5x2 - 2x - 7
Answer:
(5x-7)(x+1)
Step-by-step explanation:
Here, we want to factor the given polynomial
That would be;
5x^2-7x+5x-7
= 5x^2+5x-7x-7
= 5x(x + 1) -7(x + 1)
= (5x-7)(x+ 1)
Please help!!
The topic is ratios and proportions.
Answer:
Step-by-step explanation:
From the first set 20 corresponds to 1/6
for a fraction of 2/3 = 4/6
thus 4 * 1/6 = 4 * 20 = 80 calories
For 10 calories,
20 * 1/2 = 10 calories thus
1/6 * 1/2 = 1/12
For 90 calories,
10 * 9 = 90 calories thus,
1/12 * 9 = 9/12 = 3/4
my wyvern died T^T im so sad
Answer: I hope you feel better.
Marge has a book that holds her stamp collection. In this collection, 6 stamps are from England, 7 are from France, 10 are from the United States, and 3 are from Germany. Marge lives in the United States. If she picks a stamp at random from her collection, what is the probability that it is from a foreign country?
Answer:
38.46%
Step-by-step explanation:
there are a total of 6 + 7 + 10 + 3 = 26 stamps in marge's collection
out of these 26 stamps, 10 are from the United States (Marge's home country) and 16 are from foreign countries. If she picks a random stamp, the probability that it is from the United States = 10/26 = 5/13 = 0.3846 = 38.46%