Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
Given
Conjecture: [tex]x + 3 < x^2[/tex] --- (Missing)
Required
Which value of x prove the conjecture otherwise
To do this , we simply substitute the values of x in the options
[tex]1.\ x = -\frac{1}{3}[/tex]
This is negative;
So, there is no need to check
[tex]2.\ x = -3[/tex]
This is also negative;
So, there is no need to check
[tex]3.\ x = 2[/tex]
[tex]x + 3 < x^2[/tex]
[tex]2 + 3 < 2^2[/tex]
[tex]5 < 4[/tex]
This value of x is false because 5 is not less than 4
[tex]4.\ x = 3[/tex]
[tex]x + 3 < x^2[/tex]
[tex]3 + 3 < 3^2[/tex]
[tex]6 < 9[/tex]
please simplify 5(x-1)
Answer:
5x-5
Step-by-step explanation:
Just use distribuative property
Can somebody please help me with this pleaseee
Answer: -2, 2
Step-by-step explanation:
0 = 5x^2 -20
0 = 5(x^2 -4)
0 = 5(x - 2)(x + 2)
0 = x - 2
2 = x
0 = x + 2
-2 = x
1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and his sister?
(a) Write an equation that represents the situation. (1 point)
(b) Solve the equation from Part (a). Show your work. (3 points)
Answer:
Part A: Write an equation.
If the present age is y, then n times the present age = ny.
If the present age is x, then age n years later/hence = x + n.
If the present age is x, then age n years ago = x – n.
The ages in a ratio a: b will be ax and bx.
Part B: Solve the equation.
John’s age =
John’s sister’s age =
Answer:
sister = 6 years
John=18 years
Step-by-step explanation:
A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.
Answer:
36-x=y
y*3=x
x+y=36
Step-by-step explanation:
I wasnt really sure how to write the equation the way you're supposesd to?
John is 27 and his sister is 9. 9*3=27
I just used guess and check sorry
Please help
Regroup and write your answer in simplest form
Can someone help me with these?
Answer:
A. 4,7,3,5,6,7,8,5,8
B. 5,4,3,8,4,6,3,8,9
Step-by-step explanation:
you're just dividing
please i need an answer ASAP!!
1 Adrian is buying a new radio.
The radio is on sale.
The sale price of the radio is 20% off the normal price.
The radio Adrian buys is slightly damaged.
The shop takes an extra 15% off the sale price due to the damage.
Work out the overall percentage reduction of the price of the radio.
Total 5 Marks
Answer:
35
Step-by-step explanation:
20 + 15 = 35
hope this helps
Which graph shows the system 1 x++y=2 ? [x2 + y2 =9
Answer:
The graph of the system in the attached figure
Step-by-step explanation:
we have
isolate the variable y
----> equation A
This is the equation of a vertical parabola open down (because the leading coefficient is negative)
The vertex represent a maximum
the vertex is the point (0,2)
---> equation B
This is the equation of a circle centered at (0,0) with radius 3 units
The solution of the system of equations is the intersection points both graphs
using a graphing tool
The solutions are the points (-2.05,-2.19) and (2.05,-2.19)
see the attached figure
Answer:
It's C!
Step-by-step explanation:
Just got it right :>
Solve this system of equations.
3x + 4y = 36
y=-2 +8
Answer:
( X, y [tex] = (x.y) ( - \frac{4?}{?3} = 10)[/tex]Standard form [tex]3 \times + 4y = 36 \\ y = 10[/tex]Due in 15 minutes helppppp
Answer:
13,5,12 inches hope this helps
Step-by-step explanation:
Which of these brands have the lowest cost per unit? PLEASE HELP MY FIRST MATH GRADE OF THE QUARTER IS ON THE LINE!
Answer:
you need a dotted point starting at 3 and going to to the right
Step-by-step explanation:
the dotted point means x < , x > and since it is greater you always go to the right
covert 12/5 into a mixed number in simplest form
Answer:
2 2/5
Step-by-step explanation:
1 3/4 x 1 1/3 give your answer as a mixed number
Answer:
2 1/3
Step-by-step explanation:
1 3/4 is equivalent to 7/4
1 1/3 is equivalent to 4/3
7/ 4 x 4/3
reduce with greatest common factor so the two 4 are out (show a line crossing out the top and bottom 4 )
now you're left with 7 x 1/3 = 7/3
7/3 = 2 1/3
The product of two given mixed fractions is [tex]2\frac{1}{3}[/tex].
The given mixed fractions are [tex]1\frac{3}{4}[/tex] and [tex]1\frac{1}{3}[/tex].
What is the product of two fractions?The product of two fractions is the product of the numerators and the product of the denominators.
Product of two fractions = Product of their denominators / Product of their numerators.
Here, the mixed fraction [tex]1\frac{3}{4}[/tex] can be written as [tex]\frac{7}{4}[/tex] and the mixed fraction [tex]1\frac{1}{3}[/tex] can be written as [tex]\frac{4}{3}[/tex].
Now, 7/4 × 4/3
= 7/3
= [tex]2\frac{1}{3}[/tex]
Therefore, the product of two given mixed fractions is [tex]2\frac{1}{3}[/tex].
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Daniel ran 5 kilometers in 40 minutes. Andy ran 4,550 meters in 37 minutes. Who ran faster?
PLEASE GIVE ME EXPLANATION
Answer:
Daniel
Step-by-step explanation:
Daniel ran 5000/40=500=4=125 meters in 1 minutes
Andy ran 4550/37=122.9729... some less than 123 meters in second
Daniel was faster than Andy
(Dont answer if you dont want alot of notifs)
If Logx (1 / 8) = - 3 / 2, then x is equal to
A. - 4
B. 4
C. 1 / 4
D. 10
Answer:
According to my problem solving, the answer should be B. 4
Step-by-step explanation: it might be wrong but worth a shot
Casi drove 135 miles in 3 hours. Use a proportion to find how long it would take her to drive 360 miles at the same speed.
Answer:
8 hours
Step-by-step explanation:
We are given that
Casi traveled distance in 3 hours=135 miles
We have to find the time taken by Casi to drive 360 miles at the same speed using proportion .
Let time taken by Casi to drive 360 miles=x
We know that
Speed=[tex]\frac{Distance}{time}[/tex]
Using proportion
[tex]\frac{a}{b}=\frac{c}{d}[/tex]
[tex]\frac{135}{3}=\frac{36}{x}[/tex]
[tex]x=\frac{360\times 3}{135}[/tex]
[tex]x=8[/tex]
Hence, the time taken by Casi to drive 360 miles=8 hours
Which equation is NOT written in slope-intercept form?
Answer and Explanation
__________________________________________________________
B) 2x - 5 = 2y + 14
__________________________________________________________
slope intercept form: y = mx + b
__________________________________________________________
B) 2x - 5 = 2y + 14 is the only answer choice that does not isolate y, and place all other terms on the other side; therefore, is your answer.
__________________________________________________________
Hope this helps! <3
__________________________________________________________
Simon has a farm and has to buy a certain amount of feed for each animal. He buys feed once a month and counts all of his animals to see how much feed he needs to buy. Chicken feed is about $0.5 per chicken, each horse eats about $5 worth of feed, and goats eat about $4 worth of feed. What equation should he use to find how much he should spend on feed?
A. 0.50 +5h + 4g = total spent on feed
B. 9.5a = total spent on feed
C. 0.50 +5h + 40 = 100
D. 0.59 +49 +5g = total spent on feed
Answer:
A
Step-by-step explanation:
youre looking for the total spent, and then each variable from the word equation
Answer:It is B because you add 5+4 and you get 9 and than you have 9 you have 5 cences
so it is $9.05
Marcus looked out in the audience and saw 40% of the chairs were filled. There were 42 people sitting in the chairs. Enter the total number of chairs in the audience.
Answer:
I say it is 16.8
Step-by-step explanation:
40 x 42
100
= 16.8
The total number of chairs in the audience is 105.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Marcus looked out into the audience and saw 40% of the chairs were filled and 42 people are sitting in the chairs.
Let, 'x' be the total number of chairs.
Therefore, 40% of 'x' is 42 which can be numerically expressed as,
(40/100)×x = 42.
0.4x = 42.
x = 42/0.4.
x = 105.
So, The total number of chairs in the audience is 105.
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1.
(2x3 - 5x2 + 3x + 7) = (x - 2)
a) 2x3 - x2 + x + 9
b) 2x2-x+1
C) 2x2 - x + 1 + 9/x-2
d) 2x2_9x - 15 - 23/x-2
12foot 11incher+11foot 3 incher
Answer:
24feet 1 inches
Step-by-step explanation:
Solve for b .
-9 b = 27
please will mark brainliest whoever gets it right
Answer:
b=-3
Step-by-step explanation:
hope this helps!
Here is a rectangle ABCD.
A
B
20 cm
D
30 cm
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.
answer
15.5%
Step-by-step explanation:
length = 30
30+10%=33
breadth=20
20+5%=21
area of rectangle = length × breadth
600² centimeters = 30 × 20
693² centimeters = 33 × 21
Increase = 15.5%
Plz help me I need tu turn this is by midnight!!
Answer:
The last answer.
Step-by-step explanation:
It looks to be the correct answer because for the one above you can't simplify 27 by 5.
hii I really need help!!
sorry if it’s kinda long lol.
question:
Sonia has two packages of hamburger meat. The first package weighs 1.76 pounds and the second package weighs 2.29 pounds. She mixed the two packages together and forms hamburgers that weigh 0.25 pounds each. What is the greatest number of 0.25-pound hamburgers Sonia can make using the hamburger meat she has?
Answer:
16
Step-by-step explanation:
2.29+1.76=4.05
4.05/0.25=16.2
round down to 16
you would have a little extra but you would only be able to make 16 .25 pound ones
Apply the distributive property using the greatest common factor to write an equivalent expression.
Enter your answers in the boxes.
0.3x – 2.7 =T0-0)
Step-by-step explanation:
0.3x = (0.3)(x).
2.7 = (0.3)(9).
Between the 2 terms, the GCF is 0.3.
Hence,
0.3x - 2.7
= (0.3)(x) - (0.3)(9)
= 0.3(x - 9).
Хеллльпппппп please ......
Answer:
B
Step-by-step explanation:
Write an explicit formula of an , the nth term of the sequence 22,20,18
Answer:
an =24−2n
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS!!!!! ITS GEOMETRY
Answer:
KG = 7 (A)
m KIH = 28 (B)
m JIH = 96 (D)
m HKI = 68 (B)
m KJI = 84 (C)
Step-by-step explanation:
Notice that the triangle HKJ is identical to HIJ. Since there are lines drawn to each other and both triangles are identical, the lines KG and GI are the same. This means that it is 7.
The triangle KGJ is identical with IGH. Using the recognise angle property, we know that angle JKI is the same as KHI. This means that it is 28.
Angle JIH is the same as angle JKH. Since JKH is 180 - (KHI or 84), we know that the angle JIH is 96.
We can find angle HKI by subtracting 96 by 28 because we know that angle HKI is the same as JIH. This gives us 96-2 8 = 68.
Angle KJI is the same as KHI which is 84. Therefore, KJI is also 84.
A restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. How many eggs does each 5-layer rack hold?
Answer:
The answer is 125 eggs.
The total number of eggs required will be 125.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that a restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. The number of eggs will be calculated as:-
Number of eggs = 5 x 5 x 5
Number of eggs = 125
Therefore, the total number of eggs required will be 125.
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