The solutions to the system of equations are (4, 15) and (-1,-1)
How to solve the system of equations?The system of equations is given as:
y=3x+2
y=x^2-4+2
Substitute y=3x+2 in y=x^2-4+2
3x + 2=x^2-4+2
Simplify
x^2 - 3x - 4 = 0
Expand
x^2 + x - 4x - 4x = 0
Factorize
x(x + 1) - 4(x + 1) = 0
This gives
(x - 4)(x + 1) = 0
Solve for x
x = 4 and x = -1
Substitute these values in y=3x+2
y = 3(4)+2 = 15
y = 3(-1)+2 = -1
Hence, the solutions to the system of equations are (4, 15) and (-1,-1)
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a church choir in mogase has 77 members and they need minibuses and minibuses only carry 18 members how many minibuses are needed ?
Answer:
5
Step-by-step explanation:
Answer:
5 buses
Step-by-step explanation:
77 divided by 18 is 4.2 so the people need 5 buses to fit means 4 full buses and 1/5 of 5th bus is used
Elizabeth invested $67,000 in an account paying an interest rate of 4 %
compdunded annually. Aiden invested $67,000 in an account paying an interest rate
of 4 % compounded daily. After 6 years, how much more money would Elizabeth
have in her account than Aiden, to the nearest dollar?
o
Answer: $2066
Step-by-step explanation:
Fill in the blanks in the double number-line below.
Answer:
1 2 3 4 5 6 7
8 16 24 32 40 48 56
Step-by-step explanation:
Hope this helps :)
If country A has 161,500 million more computers than country B and the total number of computers for both countries is 321,050 million, find the number of commuters for each country.
Country A has _ million computers and country B has _ million computers.
Answer:
b has 79,775 million
a has 241,275 million
Step-by-step explanation:
a has more than b
b+161,500 is a
b=b
b+b+161,500=321,050
2b=321,050-161,500
2b=159,550
b=159,550/2
b=79,775
a=b+161,500
a=79,775+161,500
a=241,275
Four times the sum of a number n plus 2 equals 3 times the sum of the number plus 5. What is n?
Equation:
n=
Answer:
nweoksowjxu928idvdiwd9w
Round 30.425 to the nearest tenth.
Answer:
30.4
Step-by-step explanation:
30.425 rounded to the nearest tenth will be 30.4
When rounding to the nearest tenth, we have to see if the hundredths place and thousands place are 0.050 or greater.
If they are, then the tenths place will round up.
In this case, it is only 0.025, so we will keep the tenths place of 30.4
So, the answer is 30.4
Dagny Taggart has just purchased a home and taken out a $300,000 mortgage. The mortgage has a 25 year term with monthly payments and has an APR of 6% (monthly compounding). The total amount of interest that Dagny will pay during the first month of her mortgage is closest to:
a.
1923.24
b.
1816.93
c.
1500
d.
1485
Answer:
c.
1500
Step-by-step explanation:
The computation of the total amount of interest in first month is shown below:
Interest for first month is
= Mortgage amount × interest rate ÷ total number of months in a year
= $300,000 × 6% ÷ 12
= $1,500
Hence, the interest in the first month is $1,500
Therefore the c option is correct
please help 30 points !! in a proportional relationship when Y=2 when X=8 Which of the following equations would describe this relationship?
Answer:
(1)
Step-by-step explanation:
We will try:
(1) y = [tex]\frac{1}{4}[/tex]x => 2 = 2 (seems legit)
(2) y = 4x => 2 = 32 (nope)
(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)
(4) y = [tex]\frac{1}{2}[/tex]x - 2 => 2 = 2 (like the above)
2. The rates of currency exchange published in the newspaper on a certain day showed that 12 pounds co
be exchanged for 96 dollars. How many dollars could be obtained for 102 pounds?
[2.5
CURRENCY URANG
Answer:
Step-by-step explanation:
Your answer
816 dollars
Mark it as Brainlist answer. Follow me.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
14
Step-by-step explanation:
A local hamburger shop sold a combined total of 718 hamburgers and cheeseburgers on Wednesday. There were 68 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Wednesday?
Answer:
i believe its 650 hamburgers
What is the length of the missing leg in this right triangle?
A right triangle has a side with length 7 millimeters and hypotenuse with length 25 millimeters.
18 mm
24 mm
26 mm
32 mm
Answer:
24mm
Step-by-step explanation:
I did the test and got it right
hope this helps :)
Answer:
B)24mm
Step-by-step explanation:
got it right edge 2021
expand 3(n+6)
This for the test
Step-by-step explanation:
expanded = 3n + 18
plz mark my answer as brainlist plzzzz if you find it useful ☺️.
solve
y+ 5- y + 4 =
Answer:
9
Step-by-step explanation:
its 9 lol
Answer:
9
Step-by-step explanation:
Solve:
y-y= 0y or 0
5+4= 9
Hope this helps!
What product is less than 99
Answer:
1
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
Help me on question 5!!! Plsss
Answer:
The answer is C
Step-by-step explanation:
use an open circle for "less than" or "greater than"and a closed circle for "less than or equal to" or "greater than or equal to".
eight percent multiped by fifty
Answer:
4
Step-by-step explanation:
Turn the percentage into a decimal and multiply.
8% -> 0.08
0.08 * 50 = 4
Best of Luck!
Answer:
4
Step-by-step explanation:
8% times 50 is the same as 8% of fifty
What is the distance between point (-2,2) (4,4)
Answer:
6 and 2 thats the distance in between
Step-by-step explanation:
un terreno de forma triangular tiene 250 pies de base por 180 pies de altura Cuál es la magnitud de su área en metro
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Areas..
Bienvenidos al concepto de áreas.
Área de un triángulo = 1/2 * base * altura,
aquí, base = 250, altura = 180, así que obtenemos como
Área = 1/2 * 250 * 180
Área = 250 * 90
Área = 22,500 mtrs.
The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
First, let's calculate the area of the triangular piece of land in square feet:
Area = (1/2) x base x height
Area = (1/2) x 250 ft x 180 ft
Area = 22,500 sq. ft
To convert this to square meters, we can use the conversion factor of 1 sq. ft = 0.092903 sq. m:
Area = 22,500 sq. ft x 0.092903 sq. m/sq. ft
Area ≈ 2,094.2 sq. m
Rounding to the nearest tenth of a square meter, we get:
Area ≈ 2,094.2 sq. m
Therefore,
The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.
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The complete question:
A triangular piece of land has a base of 250 feet by a height of 180 feet What is the magnitude of its area in meters
Factor Method Lcm 20,25,30
Answer:
The least common denominator for those three numbers would be 5.
Step-by-step explanation:
5x4=20
5x5=25
5x6=30
1. 25% of 300
2. 20% of what number is 50?
3. What percent of 120 is 40?
4. If 20% of 60 is 12. Which represent the percentage?
5. Which represent the base?
Answer:
rawrrrrrr
Step-by-step explanation:
rawrrrrrrrrrrrrrrrr
Can someone please help me on these four problems. The photo is linked above
Answer:
Answer:
1. SSS
2. SAS, SSA
3. SAA
4. SAS, SSA
5. ASA
6. SAS
Thats all 6
Circle the fraction greater than 3/10?
1/3
3/11
4/15
Or 29/100
Answer:
1/3 is the only fraction here that is greater than 3/10.
Step-by-step explanation:
Convert these to decimals first, which can make it easier.
1/3 as a decimal is 0.33333333333333333333333333... which is greater than 0.3, which is 3/10.
3/11 as a decimal is 0.27272727272727.... which is LESS than 0.3, which is 3/10.
4/15 as a decimal is 0.26666666666666666666666666666666, which is less than 0.3, which is 3/10.
29/100 as a decimal is 0.29, which is less than 0.3, which is 3/10.
So the answer is 1/3.
A savings account earns 4% annual simple interest. The principal is $1,100. What is the balance after 5 years?
Answer:
$220
Step-by-step explanation:
4% of 1100=$44
$44 × 5 years=$220
Sophia wants a video game. The one she wants costs $38. Sophia has saved $43 toward the video game. How much can Sophia spend and still afford the video game?
Answer:
She can spend $38 and have $5 left.
Step-by-step explanation:
$43 - $38 = $5. Therefore, she can afford the video game and have $5 left.
Answer:
$5
Step-by-step explanation:
Subtract 48 by 38
48 - 38
You are doing this because after you subtract the game cost from what she has at the moment she will have $5 so she can spend $5 and still get the video game.
what is the variable in this expression 5x2+x+7?
Answer:
x
Step-by-step explanation:
Which of the following is equal to sin 8
A)sin 82
B)cos 8
C)cos82
D)sin98
Answer:
A
Step-by-step explanation:
sin 82 I think but i just try
There were 382 chairs in the music hall.Write a number greater than 382.
Answer:
383
Step-by-step explanation:
Ayuden con la ecuación
[tex] \times + 15 = 51[/tex]
$1 US is equivalent to about 6.56 Chinese yuan. A two-bedroom presidential suite on the top floor of a high-end hotel in Shanghai, China was listed at 25,000 yuan per night. What is the cost of this suite per night in US dollars?
Answer: About 3,811 US dollars.
Step-by-step explanation:
Divide 25,000 with 6.56. That equals about 3,811 US dollars.
hope this helps :)