Answer:
(-1,1),(-3,-19)
Step-by-step explanation:
y=−3x²−2x+2 (1)
10x−y=−11
y=10x+11 (2)
−3x²−2x+2 = 10x+11
3x² + 12x + 9 = 0
x² + 4x + 3 = 0
(x + 1)(x+3) = 0
x= -1 or x = -3
y = 1 or y = -19
The solutions of the equations y = −3x² − 2x + 2 and 10x − y = −11 will be (-1, 1) and (-3, -19).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equations are given below.
y = −3x² − 2x + 2 ...1
10x − y = −11 ...2
From equations 1 and 2, then we have
10x + 11 = −3x² − 2x + 2
3x² + 12x + 9 = 0
x² + 4x + 3 = 0
x² + 3x + x + 3 = 0
x(x + 3) + 1(x + 3) = 0
(x + 3)(x + 1) = 0
x = -1, -3
The value of y at x = - 1 is given as,
y = 10(-1) + 11
y = 1
The value of y at x = -3 is given as,
y = 10(-3) + 11
y = - 19
The solutions of the equations y = −3x² − 2x + 2 and 10x − y = −11 will be (-1, 1) and (-3, -19).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
Find the area of triangle STU
Help me
Answer:
12cm cubed
Step-by-step explanation:
A= base*height/2 so base is 6 just count the squares and height is 4 at the highest point so just plug those in the formula hopefully its correct
Step-by-step explanation:
The height is 5
and the base is 7
area of triangle = bxh
= 7 x 5
= 35 cm2
original price is $150 markdown is 30% what is the retail price
Answer:
$105
Step-by-step explanation:
0.30×150=45
150-45=105
(GIVING BRAINLIEST!!!!!!!!)
U dont have to answer both
Explain your thinking
Answer:
1. 0.6
2. 0.77
Step-by-step explanation:
Decimal for number 1 is 0.61 and 0.6 is less.
Decimal for 2 is 0.8 so 0.77 is less.
Answer:
1. 0.60 because 0.61 is colored in
2. 0.77 because 0.8 is colored in
Step-by-step explanation:
1. 61 out of 100 blocks colored in so that is 0.61
2. 8 bars out of 10 colored in so that is 0.8
PLEASE HELP ASAP!! PLEASE
Answer:
21 km
Step-by-step explanation:
I am not too sure if i did answer that correctly but the distance should not change even if it is in different directions
The quadrilateral shown is a parallelogram. What is m<B?
A) 25°
B)55
C) 65
D) 115 degree
The answer is D. 115°
Answer:
The answer is also 115 on USA test prep.
5. Sarah has 5 less dollars than Jessica. Sarah has 17 dollars.
A: Write an equation that describes this solution.
B. What is the solution to the equation?
Answer:
A. J = 17 + 5
B. J = 22
Jessica has $22.
Answer:
22
Step-by-step explanation:
17+5 because the 5 represents how many more do jessica got and 17 means how much sarah got it total
find the 9th term for 150,60,24
Answer:
a(9) = 150*(0.4)^8 = 0.098304
Step-by-step explanation:
This is a geometric sequence, because each new term is 0.4 times the previous term.
The general formula for a geometric sequence is a(n) = a(1)*r^(n - 1). Here, with a(1) = 150 and r = 0.4, we have:
a(n) = 150*(0.4)^(n - 1), and so
a(9) = 150*(0.4)^8 = 0.098304
Solve the equation.
-3x + 1 + 10x = x + 4
X = 1/2
X=5/6
X=12
X=18
Answer:
x = 1/2
Step-by-step explanation:
mark brainliest
Maria is solving this number riddle by using guess and check: Fifteen less than a number is twelve. Based on the riddle, which statements must be true? Check all that apply. Less than means subtraction. Subtract 15 from the unknown number to get 12. 15 minus 12 = 3 The unknown number is 27. 15 + 3 = 18 27 minus 12 = 15 This is an addition problem.
Answer:
The answer is abde
Step-by-step explanation:
i got it wrong but when i looked that was the answer
Answer:
Abde
Step-by-step explanation:
Cuz u are very kewl
Help this is geometry! Help me please!
what is the sum of the measures of the interior angles of a hexagon
Answer:
Hexagon has 6, so we take 540+180=720. A heptagon has 7 sides, so we take the hexagon's sum of interior angles and add 180 to it getting us, 720+180=900 degrees.
Everything in a store is on sale for 25% off.
The normal price of a babkpack is $40.
What is the sale price of the backpack?
Pls help I don’t understand
How to solve (x+1)/3 =(2(x-2))/5 .
Answer:
3x + 3 = (2x - 4)/5
3x + 3 = 10x - 20
13x - 17
Step-by-step explanation:
Answer: X = 17
Explaination:
Algebra 2!!
The equation of the piecewise function f(x) is below. What is the value of f(3)?
Answer:
5
Step-by-step explanation:
Ask your self which equation you should use. Since it says F(3) then we have to find an equation that would fit this correctly. For example if we look at -X^2, X<-2 we could see that 3 is clearly not less than -2, leading to the conclusion that this is not the right equation.. If you look at the last equation it says that x has to be greater/equal to 0 which is true. So then we are left with the equation...
F(3)=x+2
F(3)=3+2
F(3)=5
To find the quotient of 8 ÷ 1/3 multiply 8 by (a 1/8 (b 1/3 (c 3 (d 8
Answer:
C
Step-by-step explanation:
To divide by fractions, we must multiply by the reciprocal of the fraction itself. 8 times 3/1 or just 8 times 3 is the answer
A bag contains 324 sweets Amelia takes 1/9 of the sweet from the bag the remaining sweets are divided between Isabella and Olivia in the ration 1:5 how many sweet dose Olivia have ?
Answer:
Olivia has 240.
Step-by-step explanation:
Amelia took 36 and there were 288 left over. A ratio of 1:5 with 288 would be 48 and 240 so therefore, Olivia has 240.
Find the perimeter and the area of the polygon with the vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)
Answer:
a) The perimeter of the rectangle =
= 22 units
b) The area of the rectangle
= 30 square units
Step-by-step explanation:
We solve the above question using the formula
= √(x2 - x1)² + (y2 - y1)²
When we are given vertices (x1, y1) and (x2, y2)
The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)
We have to find the length of the sides
Side A
(-1, -2), (-6, -2)
= √(-6 - (-1))² +( -2 -(-2))²
= √-5² + 0²
= √25
= 5 units
Side B
(-6, -2), (-6, -8)
= √(-6 - (-6))² + (-8 - (-2))²
= √(-6 +6)² + (-8 +2)²
= √0² + -6²
= √36
= 6 units
Side C
(-6, -8), (-1, -8)
= √(-1 - (-6))² +(-8 - (-8))²
= √(-1 + 6)² + (-8 + 8)²
=√ 5² + 0²
= √25
= 5 units
Side D
(-1, -2), (-1, -8)
= √(-1 -(-1))² + (-8 - (-2))²
= √(-1 + 1)² + ( -8 + 2)²
= √0 + -6²
= √0 + 36
= √36
= 6 units
From the above calculation,
Side A = Side C = 5 units
Side B = Side D = 6 units
Hence, this polygon is a quadrilateral called the RECTANGLE.
Therefore:
a) The perimeter of the rectangle =
2L + 2W
= 2(5) + 2(6)
= 10 units + 12 units
= 22 units
b) The area of the rectangle
= Length × Width
= 5 units × 6 units
= 30 square units
The measures of angles A and B are equal and complementary. What is the measure Of each angle?
Answer:
45
Step-by-step explanation:
if they're both the same number and complimentary (adding up to 90) it'd be 90/2, which is 45.
The measure of each angle is 45 degrees.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If two angles are complementary, it means that they add up to 90 degrees.
Let the measure of angle A be x degrees.
Then, the measure of angle B is also x degrees since they are equal.
Now,
Angle A + Angle B
= x + x
= 2x
The sum of the two angles is equal to 90 degrees.
So,
Angle A + Angle B = 90
Substituting this into the previous equation,
2x = 90
Dividing both sides by 2.
x = 45
Therefore,
The measure of each angle is 45 degrees.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Name BOTH pairs of alternate interior angles. HELPPPPP PLEASE!!!!!!
Answer:
Angles 6 and 2
Step-by-step explanation:
They are in the "interior" of the figure, plus, ik how to do this
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Please please please help me!!! I need this really fast and quick. Will give brainliest to whoever can answer quickly please
Please help me with this please!
Enter the actual height of the tree.
A geologist has ten rock samples in a bag and is going to use eight for class. What is the probability that the first three pulled out will be hematite, bauxite, and coal in that order, assuming all three are among the rock samples?
Answer:
1/56 chance
Step-by-step explanation:
3/8 x 2/7 x 1/6 = 1/56
can someone answer these question
Answer:
y=5
Step-by-step explanation:
Given x=1, the equation would come to be y = 5^1, or y equals 5 to the first power. You'll need to focus on the 5^1, 5 to the first power is 5, that's your answer.
A new bank customer with $4,500 wants to open a money market account. The bank is offering a
simple interest rate of 1.9%.
a. How much interest will the customer earn in 30 years?
b. What will the account balance be after 30 years?
Ans
Step-by-step explanation:]\
To use the simple interest formula, I = Prt, we substitute in the values for ... The money you put in the bank is called the principal, P, and the bank pays ... of t years at an annual interest rate r, the amount of interest, I, earned is ... Nathaly deposited $12,500 in her bank account where it will earn 4% interes
In AEFG, the measure of ZG=90', the measure of ZE=51°, and FG = 5.2 feet. Find
the length of EF to the nearest tenth of a foot.
Answer: 6.7 feet
Step-by-step explanation: sin 51= 5.2/x
xsin51= 5.2
xsin 51/sin 51 = 5.2/sin 51
x= 5.2/sin 51 =6.6911≈ 6.7 feet
Serena makes 2 1/4 cups of popcorn using 1 1/2 tablespoons of kernels. She wants to know how many tablespoons of kernels to use to make 6 cups of popcorn
Answer:
about 4
Step-by-step explanation:
just guessed
The number of tablespoons of kernels to use to make 6 cups of popcorn will be 4 tablespoons. Option B is correct.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Serena makes 2 1/4 cups of popcorn using 1 1/2 tablespoons of kernels.
Convert the mixed fraction into a fraction number. Then we have
2 1/4 = 9/4
1 1/2 = 3/2
The ratio of cups of popcorn and tablespoons of kernels will be constant.
The number of tablespoons of kernels to use to make 6 cups of popcorn will be given as,
K / 6 = (3/2) / (9/4)
K = 4 tablespoons
The number of tablespoons of kernels to use to make 6 cups of popcorn will be 4 tablespoons. Option B is correct.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
HELP
33
-
88
in simplest form
Answer:
55
Step-by-step explanation:
33-88 =
-55
A kennel has 90 dogs in total, some are puppies and some are adult dogs. The ratio
of puppies to adult dogs in a kennel is 3:2. How many adult dogs are there?
Answer:
36
Step-by-step explanation:
90÷5=18
18×2=36
We multiply two because the ration for adults is 2
There are 10 chocolates in a box.
7 of the chocolates have soft centres and 3 of the chocolates have hard centres. Kyla takes at random a chocolate from the box and eats it.
She then takes at random another chocolate from the box and eats it.
The probability of getting chocolates with harder center is 7/15.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Given that, there are 10 chocolates in a box. 7 of the chocolates have soft centers and 3 of the chocolates have hard centers.
Probability of choosing first chocolate with hard center is
Total number of outcomes =10
Number of favorable outcomes =7
Now, probability is 7/10
Probability of choosing second chocolate with hard center is
Total number of outcomes =9
Number of favorable outcomes =6
Now, probability is 6/9
Probability of an event = 7/10 × 6/9
= 7/10 × 2/3
= 7/5 × 1/3
= 7/15
Therefore, the probability of getting chocolates with harder center is 7/15.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
There are 10 chocolates in a box. 7 of the chocolates have soft centers and 3 of the chocolates have hard centers. Kyla takes at random a chocolate from the box and eats it. She then takes at random another chocolate from the box and eats it. Find the probability that Kyla chooses both the chocolates with a hard center.
What number should go in the box? 343834=300000+▢+3000+800+30+4
Answer:
40 000
Step-by-step explanation:
Find out what the numbers in the equation add up to excluding the box.
343834 - 300000 - 3000 - 800 - 30 - 4 = 40 000
Answer:
40000
Step-by-step explanation:
300000+3000+800+30+4 = 303834
So,
343834-303834 = 40000
Ans = 40000