Answer:
f(x)5.79(3)^2 for task 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Task 1:
Non linear systems of equations:
x + y = 1 -------------------(I) {Linear equation}
y = 1 - x
y = x² - 5 ---------------(II) {Quadratic equation}
Substitute y =1 - x in equation (II)
(II) --> 1 -x = x² -5
Add 'x' to both sides
1 = x² + x - 5
0 = x² + x - 5 - 1 {Subtract 1 from both sides}
x² + x - 6 = 0
x² + 3x - 2x - 6 = 0 {Rewrite the middle term}
x( x + 3) - 2(x + 3) = 0
(x + 3)(x - 2) = 0
x + 3 = 0 ; x - 2 = 0
x = - 3 ; x = 2
When x = - 3 , y = 1 -(-3 )
= 1 + 3
y = 4
When x = 2 ; y = 1 - 2 = -1
Solution of the equations: (-3,4) & ( 2,-1)
Task 2:
Part 1: x = 40 ; y = 30
(x - y)² = x² - 2xy + y²
(40 - 30)² = 40² - 2*40*30 + 30²
= 1600 - 2400 + 900
= 2500 - 2400
= 100
Part 2:
a = 10 , b = 11
a³ + b³ = (a + b)(a² - ab +b²)
(10)³ + (11)³ = (10 +11)(10² -10*11 + 11² )
= 21* (100 - 110 + 121)
= 21 * ( 221 - 110)
= 21 * 111
= 2331
What is the solution to the following system of equations: 2x + 3y = 5 AND 5x = 5y -25
Answer:
point form (-2,3)
Equation form
x=-2, y=3
Step-by-step explanation:
solve for the first variable in one of the equation, then substitute the result into the other equation.
Answer:
(-2,3)
Step-by-step explanation:
5x=5y-25
x=y-5 divide both sides by 5
use substitution.
2(y-5)+3y=5
2y-10+3y=5 distribute the parenthesis
5y-10=5 combine like terms
5y=15 add 10 to both sides
y=3 divide both sides by 5 to get y alone
5x=5(3)-25 replace y with 3, the value we found above
5x=15-25 multiply 5 and 3
5x=-10 subtract 25 from 15
x=-2 divide both sides by 5 to get x alone
after a gymnastic competition, the coaches reviewed all the gymnasts scores to identify areas for improvement. a missed landing on an aerial cartwheel deducts 2 points from the score. the coaches found that aerial cartwheels were missed 5 times across the competition. how did these missed landings affect the scores overall
Answer: The missed points will subtract 10 from the total score.
Step-by-step explanation:
A missed landing subtracts 2 points.
If they miss the landings 5 times, you know have a problem of 5x2.
5x2=10
Therefore, The points will subtract 10 from the total score.
Please help me with this question. Please, this is due today. Helppppp meeee
Answer:
6by6by8
Step-by-step explanation:
Answer:
6m
6m
8m
Step-by-step explanation:
calm down ...
don't let a strange problem description overwhelm you right away.
always try to work with the things you know first. and only when you run into something you really don't know, start thinking.
so, perimeter.
your know, what a perimeter is ? it is the circumference. all the side lengths added together. the answer to "how much distance would you have to go, to walk all the way around it one time".
so, what is the circumference of the square based on what we know ?
well, it has 4 equal sides, right ? otherwise it would not be a square.
so, the perimeter is 4×(x+2) = 4x + 8
that is perfectly fine.
now to the next part we know.
the perimeter of the triangle is the sum of its 3 sides (otherwise it would not be a triangle).
an isoceles triangle is a special triangle that has 2 equal sides.
so, we actually know all 3 sides (at least relatively) :
x+3
x+5
and ... another
x+3 (because of the isoceles property)
so, the perimeter is
x + 3 + x + 3 + x + 5 = 3x + 11
alright.
and now we also know that both perimeters are of equal length.
what did that mean ?
that both expressions deliver the same result.
therefore,
4x + 8 = 3x + 11
aha !
x = 3
bingo !
therefore, the side lengths of the triangle are
x+3 = 3+3 = 6 (both sides in the top)
x+5 = 3+5 = 8
and that's all there is to it.
it is really not necessary to panic don't you think ?
Please help me! I will give brainly!
Question,
Reasoning Explain how you can tell which product is greater without multiplying or estimating.
3.75 x 922 37.5 x 9.22
Question,
Modeling Real Life Nutritionists recommend that fifth-graders should consume about 5 ounces of protein each day. One serving of yogurt contains 0.6 ounce of protein. You eat 2.5 servings of yogurt in 1 day. Do you consume enough protein for the day by eating yogurt?
Yes or No
Explain why
Answer:
Question 1. 3.75 x 922
Step-by-step explanation:
for question 1 if u noticed that they both have the same numbers in the same order the only difference is where the decimal point is placed. First u need to anylase both equations to do that u need to look at 922 and 9.22 not the 3.75 and 37.5 because the decimal point doesn't justify anything. So you see 922 is bigger than 9.22. So the answer is 3.75 x 922.
Please help me fast! I will give brainly
This is the question,
YOU BE THE TEACHER Your friend says that because of the order of operations, the expressions are equivalent. Is your friend correct?
10-(5x2)+7 or 10-5x2+7
Yes or No
And Explain the answer
Answer:
He's correct.
Step-by-step explanation:
As long as there is no change in sign of the variables.
a woodworker makes 238 wooden bowls a month. At the rate, how many bowls will he make in 12 months?
Answer:
2856
Step-by-step explanation:
if you multiply 238 by 12
you will get the ans
Answer: 2856
Step-by-step explanation:
A woodworker makes 238 bowls in a month: this is the unit rate. To find how many bowls will be produced by the woodworker in 12 months, multiply the unit rate by 12.
The equation of the line of best fit relating age (in years, x) and the median height (in cm, y) of boys is given.
y = 6.5x + 75.5y=6.5x+75.5
Predict the median height of boys age 13.
123 cm
140 cm
160 cm
82 cm
Answer:
160 cm
Step-by-step explanation:
Substitute x = 13 into the equation
y = 6.5(13) + 75.5 = 84.5 + 75.5 = 160
The median height of boys age 13 is 160 cm
What is the initial value of the function represented by this graph?
1
5
6
7
Answer:
the inital value is one.
Step-by-step explanation:
So basically, the initial value is just the value of y when x is zero. In this case, its 1 this point on the graph where x=0 is also known as the y intercept. Hope that helped.
The publisher considered 10 manuscripts for publication and accepted 3. What percent were rejected?
Answer:
70%
Step-by-step explanation:
First find the number that were rejected
10-3 = 7
Then take that over the total
7/10
.7
70%
Answer: 70%
Step-by-step explanation:
10 - 3 = 7
So, there are 7 manuscripts that are rejected.
7/10 are rejected.
70/100
Therefore, 70% are rejected.
I will literally give you my life if you. help me with these integer questions-
Answer:
10. 23
11. -17
12. 0
13. -4
14. -6
15. 4
Explanation:
10. 8+15= 23
11. -8-9= -17
12. 8-8= 0
13. -8+4= -4 (same as 4-8)
14. -10+4= -6 (same as 4-10)
15. 12-8= 4
Can you please help me im stuck on this I would kindly appreciate it.
Answer:
[tex]{ \tt{y = 2x - 3}}[/tex]
math problem for highschool
Answer:
297 units squared
Step-by-step explanation:
You just have to break the squares down and compare them to the other sides of the squares. For example, F is a 4 by 4 square and B is a 5 by 5 square, to find the dimensions of square E, you would just subtract 5 by 4. By looking at the side relationships of the squares, you can easily find the dimensions of each one.
A - 9 by 9
B - 5 by 5
C - 6 by 6
D - 7 by 7
E - 1 by 1
F - 4 by 4
G - 8 by 8
H - 5 by 5
Multiply and add to get 297
Answer:
297 units squared
Step-by-step explanation:
4,000 pounds of sand is used to fill sand boxes. 1,000 pounds can fill the big sandbox, and the rest can fill 4 equal-sized smaller sandboxes. how much sand can be put in each of the smaller sandboxes?
Answer:
750 pounds each
Step-by-step explanation:
You start with 4000 pounds, and 1000 goes into the big sandbox.
Now you have 3000 pounds left.
These 3000 pounds must be divided into 4 sandboxes, which means
3000/4= Small sandbox capacity=750 pounds
PLEASE TRY TO HELP SOLVE EITHER ONE (OR BOTH). THX!
1. Take an 13 by 8 rectangular grid. Color each of the 1 by 1 cells either solid red, solid white, or solid blue. Show that there are at least two 2 by 2 squares in the grid that are colored exactly the same.
2. Every day of the 10-week summer break, Pamela ate 1 or 2 carrots. Over the course of the summer, she ate a total of 100 carrots. Show that there was an interval of days during the summer break during which Pamela ate exactly 35 carrots.
Answer:
p and q are two numbers.whrite down an expression of.
Answer:
I’m doing second one
Step-by-step explanation:
I’m confused what the first question is asking for but for the second one is it took her 25 days to eat 35 carrots
Question 2 (1 point)
Luis and Jorge are exercising. Luis does 10 push-ups at the same time as Jorge does 15 push-ups. When
Luis does 40 push-ups, how many push-ups does Jorge do?
Answer:
Jorge does 45 push-ups
Step-by-step explanation:
Why? Beacuse everytime luis does a push up it the same thing as Jorge but just five more so 40 plus 5 is 45 thats how i got my answer.
“Model a desert community where 60% is houses, 10% is shops, and 30% is parks.”
Answer:
house are 60 squares
shops are 10 squares
and parks are 30 squares
I think because it can be a wrong answer
any way best of luck
how did the temperature change if at first it increased by 60 and then decreased by 80
Answer:
Step-by-step explanation:
+25-80=-55
therefore there was a -55˚ change from the og temp
Answer:
-20/dropped 20 degrees
Step-by-step explanation:
60-80 = -20 (or, it dropped 20 degrees)
Which represents the solution set of 5 (x + 5) less-than 85
Answer:
5x+25<85
Step-by-step explanation:
distribute the 5 and use a less than sign.
Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G(−4, 5), H(3, 5), J(2, −1), and K(−5, −1).
Answer: 1,2.4
i'm not sure thoo
Step-by-step explanation: :3
The coordinates of the intersections of the diagonal of parallelogram GHJK will be ( -1, 2 ).
What is parallelogram?A parallelogram is a quadrilateral having four sides and the two opposite sides are equal and parallel to each other.
Given that:-
The coordinates the intersection of the diagonals of parallelogram GHJK with vertices G(−4, 5), H(3, 5), J(2, −1), and K(−5, −1).The intersection point will be the midpoint between the points G and J or points K and H.
The coordinates of the points H and K are ( 3,5) and K ( -5,-1). So the midpoint will be calculated as:-
Midpoint = [tex]\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}[/tex]
Midpoint = [tex]\dfrac{-5+3}{2},\dfrac{5-1}{2}[/tex]
Midpoint = [tex]-\dfrac{2}{2},\dfrac{4}{2}[/tex]
Midpoint = (-1,2)
Therefore the coordinates of the intersections of the diagonal of parallelogram GHJK will be ( -1, 2 ).
To know more about parallelogram follow
https://brainly.com/question/970600
#SPJ2
Item 17
Your family has decided to put a rectangular patio in your backyard similar to the shape of your backyard. Your backyard has a length of 40 feet and a width of 20 feet. The length of your new patio is 12 feet. Find the perimeter of your new patio.
Answer:
80
Step-by-step explanation:
80
A square of 81cm² is cut to make two rectangles, A and B
The ratio of area A to are B is 2:3
Work out the dimensions of A and B
Answer:
Length of A: 9
Width of A: 6
Length of B: 9
Width of B: 3
Step-by-step explanation:
If you look at the diagram, you can see that the length of rectangles A and B are the same, and are also the same as they were in the original square. We can find the length of each side by finding the square root of the area of the square to give us the length and width of the square which is 9. Now that we know that the length of both rectangles A and B, we can find the width of both rectangles by taking 9, and splitting it into 3 portions of 3. Since the ratio of area is 2:1, we could also do this with the area, but since we know the lengths are the same, we know the widths are proportional to the area. Using the ratio of 2:1, and the 3 portions of 3, you can combine 2 of these portions to get 6, and since the ratio 6:3 is proportional to 2:1, these measurements can be used as the width of each rectangle. Thus, the answer given above.
Answer:
Length of A: 9
Width of A: 6
Length of B: 9
Width of B: 3
Step-by-step explanation:
a single piece of sod is typically rectangular in shape and measures 46 cm wide and 1.5 m long. Assuming that you can cut the sod, how many pieces of sod would be required to cover the following lawn?
The question is incomplete
Answer:
could you add more information?
Step-by-step explanation:
Find the perimeter of the triangle in the picture attached.
Answer:
5 2/3 inches
Step-by-step explanation:
To find the perimeter, add up the sides
1 5/6 + 1 1/6 + 2 2/3
2 6/6 + 2 2/3
3 + 2 2/3
5 2/3 inches
Answer:
5 2/3 inches
Step-by-step explanation:
To find the perimeter, add up the sides
1 5/6 + 1 1/6 + 2 2/3
2 6/6 + 2 2/3
3 + 2 2/3
5 2/3 inches
Step-by-step explanation:
What is the magnitude (size) of -5.8?
The magnitude of the negative 5.8 will be 5.8 Then the correct option is D.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x – h | + k
The magnitude of the number will always be positive.
For example - The value of time, length, mass, temperature etc will always positive.
The magnitude of the negative 5.8 will be
⇒ |-5.8|
When the value in the mode may be negative or may be positive, but when the mode is removed, then the value becomes positive.
⇒ |-5.8|
⇒ 5.8
The magnitude of the negative 5.8 will be 5.8
Then the correct option is D.
More about the absolute function link is given below.
https://brainly.com/question/10664936
#SPJ5
please help me with these 2 questions will give brainly!
1 . Which integer represents the following: –(–28)?
28
-28
2. Which integer represents the following: –(–(–65))?
-65
65
Answer:
1. 28
2. -65
Step-by-step explanation:
The rule I learned, was that if there is an even number of negative signs, the outcome is positive. If there is an odd number of negative signs, the outcome is negative.
In the first question, we have 2 negative signs. So the outcome is positive. 28 is positive.
In the second, we have 3 negative signs, so the outcome is negative. -65 is negative.
I hope this helps!
Answer:
28, -65
Step-by-step explanation:
(I GOT AN 80% )
1.(D)
Ricardo has r minutes left on his cell-phone card. He wants to call his friend and still have 8 minutes left over to make calls later. Which expression describes the length of time he can talk to his friend?
D) r – 8
2.(D)
Lorraine rode her bike one-sixth the distance Jeremy rode his bike. If b represents the distance Jeremy rode, which expression represents the distance Lorraine rode her bike?
D) b
---
6
3.(A)
Raoul rode an elevator up the floors. He entered on the 5'thand exited on the 34'th
sloor. Which equation shows an equality between two different ways of expressing the Raoul exited ?
A) 34 = 5 + e
4.(B)
Hank went to an apple orchard and paid an entrance fee of $5 and bought a pounds of apples at $2 per pound. Hank paid a total of $19.
Which equation shows an equality between two different ways of expressing how much Hank paid in all?
B) 5 + 2a = 19
5.(A)
Chen’s house is 53 years old. This is 5 more than twice the age of Sunny’s house, h.
Which equation shows an equality between two different ways of expressing the age of Chen’s house?
A) 53 = 2h + 5
6.(A)
Mandy and four of her friends want to see a movie. If m represents the cost for one person to see a movie, which expression represents the cost for Mandy and her friends to see a movie?
A) 5m
7.(WRONG ANSWER IS D)
Natalie and Juan collect marbles. The number of marbles that Natalie has is 4 more than 3 times the number of marbles Juan has. If m represents the number of marbles Juan has, which of the following expressions represents the number of marbles Natalie has?
A) 4m + 3
B) 3m + 4
C) 3m – 4
D) DO NOT PICK ITS WRONG
8.(WRONG ANSWER IS D)
Hannah baked twice the number of cookies Sam baked. Sam baked 36 cookies. Let c represent the number of cookies Hannah baked.
Which equation shows an equality between two different ways of expressing how many cookies Sam baked?
A) 36 = c – 2
B) 36 = c + 2
C) 36 = c ÷ 2
D)DO NOT PICK ITS WRONG
9.(B)
There were c members in the chess club before 8 more people joined. Which expression describes the number of members in the chess club now?
B) c + 8
10.(C)
C) P
--- + 1.5
4
(all the correct answers are next to the numbers and it says do not pick which everyone's where wrong which was 7 and 8 i hope this helps you)
Answer:
for 7 the answer is B and for 8 the answer is C.
Step-by-step explanation:
7.
Natalie and Juan collect marbles. The number of marbles that Natalie has is 4 more than 3 times the number of marbles Juan has. If m represents the number of marbles Juan has, which of the following expressions represents the number of marbles Natalie has?
A) 4m + 3
B) 3m + 4
C) 3m – 4
if Natalie has 4 more ( adding 4 more marbles) marbles that are already 3 times Juan has ( multiplying by 3) then the answers for A and C don't make since the amount of marbles is multiplied by 3 and adds 4. Bis the correct option.
8.
Hannah baked twice the number of cookies Sam baked. Sam baked 36 cookies. Let c represent the number of cookies Hannah baked.
Which equation shows an equality between two different ways of expressing how many cookies Sam baked?
A) 36 = c – 2
B) 36 = c + 2
C) 36 = c ÷ 2
if Hannah made twice as many cookie as Sam that means the amount of cookies Hannah made are equivalent to 36 x 2= c. if we were to multiply 36 x2 we'd get how many cookies Hannah made and if we needed to find out how many Sam made we'd have to divide Hannah's cookies by two. giving us 36 = c ÷ 2. making C the correct option.
1 point
The equation of the line of best fit relating age (in years, x) and the median height (in cm, y) of boys is given.
y = 6.5x + 75.5y=6.5x+75.5
Predict the median height of boys age 13.
123 cm
140 cm
160 cm
82 cm
Answer:
140cm
Step-by-step explanation:
which o fht e following numbers is the closest to 5? 22.26. 23. 28
Answer:
the answer is 23 because the number that
5 can divide is 25 so their is no 25 then you choose the number that is the closest
HELP ME PLEASE
SJSJSJJSJSJSJSJ
Answer:
24.12-9.8=24.32
Step-by-step explanation:
hope this helps, sorry I'm bad at explaining, but just trust me it is this im 100% positive.
Answer: 24.32
Step-by-step explanation:
34.12 - 09.80
hope this helps
Someone help me, I’m struggling and I would be so happy if any of you helped me
Answer:
1. 75 grams of Toasty Oats for 9 grams of protein
2. Toasty Oats
Step-by-step explanation:
By using cross multiplication we can figure out how many grams of Toasty Oats is needed for 9 grams of protein:
[tex]\frac{12}{100}* \frac{9}{x}[/tex] (x) being the grams of toasty oats.
Cross multiply: 12x = 900
solve for x: 900/12 = x
x = 75 grams of toasty oats needed for 9 grams of protein
To find which one has the better ratio of proteins to grams of cereal,
we can multiply the amount of cereal together to get the same denominator
12/100 and 5/45
12/100 * 9
5/45 * 20
to get the same denominator
108/900 and 100/900
we can see the (12/100)*9 has more protein to grams of cereal ratio than (5/45)*20.
Answer:
1. 75 grams of Toasty Oats for 9 grams of protein
2. Toasty Oats
Step-by-step explanation:
