Answer:
X ints = (-1,0) , (3,0)
Y int = (0, -3)
Minimum (as it infinitely extends positively, but does not go down all the way)
Min point = (1,-4)
Step-by-step explanation:
Which set of ordered pairs represents a function?
o {(6,5), (-5,4), (5, 7), (6, -8)}
o {(2, 1), (5,-6), (8,-5), (4, -6)}
{(4,-5), (-7,3), (-7, -8), (-5, -4)}
o {(6,-1), (-7,0), (6,3), (-2,4)}
Which of the following is true?
A. The mean is the least
B. The median is the least
C. The mode is the least
D. The mean, median, and mode are equal
The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how
many people there are in total.
45 boys, 27 girls
============================================================
Explanation:
g = number of girls
g+18 = number of boys, since there are 18 more boys than girls
For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3
We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.
-------------------
The ratio of boys to girls is 5:3, meaning
(number of boys)/(number of girls) = 5/3
which turns into
(g+18)/g = 5/3
after we make the proper substitutions
Let's solve for g
(g+18)/g = 5/3
3(g+18) = 5g
3g+54 = 5g
54 = 5g-3g
54 = 2g
2g = 54
g = 54/2
g = 27
There are 27 girls.
This leads to,
g+18 = 27+18 = 45
So there are 45 boys
In total, we have 27+45 = 72 people
-----------------------------
Checking the answer:
The claim is that 45/27 is the same as 5/3
For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so
45/27 = 5/3
45*3 = 27*5
135 = 135
The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.
You could also use your calculator to note that
45/27 = 1.667
5/3 = 1.667
both decimal values are approximate.
The people there are in total of 72 students
Let the ratio of boys to girls be 5x: 3x
The ratio of boys to girls in a group is 5:3.
What is the formula?
no. of boys = 18 + no. of girls
=> 5x = 18 + 3x
=> 5x - 3x = 18
=> 2x = 18
=> x = 18/2
x= 9
No. of boys = 5x
No. of boys= 5 × 9
No. of boys= 45
No. of girls = 3x
No. of girls= 3 × 9
No. of girls= 27
Total = 45 + 27
Total= 72
Hence, there are 72 students there.
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The volume of a cube related to the area of a face by the formula V =A^3/2. What is the volume of a cube whose face has an area of 25mm^2.
Answer:
Volume = 125 mm^3
Step-by-step explanation:
Here, we want to get the volume of the cube
What we have to do here is to substitute the value of the area
We have this as
:
V = 25^(3/2)
V = (√25)^3
V = 5 * 5 * 5 = 125 mm^3
Write the equation in vertex farm
x2 - 8x + 10 = 0
Answer:
x = 4 + √ 6 , 4 − √ 6 hope this is correct-
51^7 -51^6 by 25
__*25
Answer:
Step-by-step:
51⁷-51⁶ = 51⁶(51-1) = 51⁶(50)
50 is divisible by 25, so 51⁷-51⁶ is divisible by 25.
PLZ ANSWER THIS QUESTION!!!!
Answer:
C. Shape with 4 equal sides
Step-by-step explanation:
Shape with 4 equal sides
Amir arranged 9 photos on a bulletin board. He put the photos in rows. Each row contains the same number of photos. How many photos could be in each row? (Giving Brainliest)
Options:
a. 1, 6 or 9 photos
b. 1, 3 or 9 photos
c. 1, 2 or 9 photos
d. 1, 3 or 6 photos
Answer:
I select b, 1,3, or 9 photos as my answer.
Help sir! Thank you, Mr Thompson
Problem 1
To find the y intercept, plug in x = 0 and simplify
f(x) = (x-2)(x+4)
f(0) = (0-2)(0+4)
f(0) = (-2)*(4)
f(0) = -8
We have x = 0 pair up with y = -8
The y intercept is (0,-8)
Answer: Choice D
========================================
Problem 2
(x-2)(x+4) is the same as x^2+2x-8 after using the FOIL rule. The distributive property is an alternate option.
The leading coefficient of x^2+2x-8 is 1. Since this leading coefficient is positive, it tells us that the parabola opens upward.
Answer: C) Parabola opens upward
========================================
Problem 3
Answers:
A = h(x)B = f(x)C = g(x)Explanation:
Note that 1-x^2 is the same as -x^2+1 and this has a negative leading coefficient. So the parabola opens downward. That must mean curve C matches with function g(x).
Both f(x) and h(x) have the same leading term of x^2. However, the constant terms are different. Because f(x) has a smaller constant (-4 is smaller than 4) this makes curve B to be f(x), while curve A is h(x). The larger the constant is, the further shifted up the curve will be.
Solve:
3х + y =
5x-7
when , y = 5
Show
your work
Answer: x=6
Step-by-step explanation:
Hope this helps
Question please answer thanks if you do
Answer:
Radius = 6 ft
Diameter = 12 ft
Circumference = 37.7 ft
Step-by-step explanation:
The radius of the circle is the measurement from the center of the circle to the edge. The diagram gives us the radius, 6 ft.
Radius = 6 ft
The diameter of the circle is the measurement from the edge of the circle through the center, extending back to the edge. The diameter is equal to double the radius.
6*2=12
Diameter = 12 ft
The circumference of the circle is the distance around its edge or the perimeter of the circle. We use the below equation to solve for it:
[tex]C=\pi d[/tex] where [tex]d[/tex] is the diameter
Plug the diameter (12) into the equation
[tex]C=\pi (12)\\C=37.7[/tex]
(This answer is approximate)
Circumference = 37.7 ft
I hope this helps!
I ONLY HAVE LITTLE TIME PLZ HELP
Which statement correctly identifies the line of reflection?
A.The triangles are reflected across the X-axis
B.The triangles are reflected across the Y-axis
C.The triangles are reflected across the line Y=X
D.The triangles are reflected across the line Y=-X
best anwser gets brain make sure show anwser thank you
Answer:
2187
Step-by-step explanation:
1594323/729
basically and you just need to divide and your good.
I need help on this
Step-by-step explanation:
it is 0.7777777778 . make sure you round it though 0.7^. or 0.78
Answer:
7/9
Step-by-step explanation:
1) Put 1 over 7, like this: 7/1
REMEMBER EVERYTIME THERE IS A WHOLE NUMBER! PUT A 1 OVER IT!
2) You would get your equation as this: 7/1 * 1/9
3) Multiply HORIZONATLY!
7 * 1 / 1 * 9 = 7/9
4) Your answer is 7/9!
Help pwease. :(
How many negative integers m satisfy the inequality 3/m, <= -2/7
calculate p² +3q when p=2 and q=2
Answer:
10
Step-by-step explanation:
p² +3q
= 2² +3*2
=4 + 6
=10
Answer:
10
Step-by-step explanation:
2² +3*2=4+6=10
Malala is following this recipe for bread rolls.
She uses 200 g of flour.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
500 g flour
10 g salt
8 g yeast
30 mL oil
350 mL water
Answer:
She will use:
4g salt
3.2g yeast
12 ml oil
140 ml water
Step-by-step explanation:
Since 200 is 40% of 500 we calculate 40% of all the other ingredients and you get your answer
60 POINTS!!!!
Your mother is 25 years older than you. Your father is 3 years older than your mother. The product of all three ages are 32,130. How old is your father?
Explanation would be appreciated!
My father is 42 years old as obtained from the cubic polynomial's real root.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
let my age be x years.
So, My mother is (x + 25) and my father is (x + 28) years.
∴ {x(x + 25)(x + 28) = 32130.
(x² + 25x)(x + 28) = 32130.
x³ + 53x² + 700x = 32130.
x³ + 53x² + 700x - 32130 = 0.
Now solving this has only one real solution x = 17.
So, My father is (17 + 25) = 42 years old.
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A game show contestant cannot spend more than $100 on $0.79 cans of beans and $3.59 boxes of cereal. Which inequality represents the situation, where b is the number of cans of beans and c is the number of boxes of cereal?
Answer:
i believe it would be 0.79b + 3.59c [tex]\leq[/tex] 100
Step-by-step explanation:
the price of the number of cans of beans added to the number of boxes of cereal must be less than or equal to $100
0.79b represents the price of the beans multiplied by the amount of cans the contestant buys, and 3.59c represents the price of the cereal multiplied by the amount of boxes the contestant buys
Find the value of each variable. If your answer is not an integer, express it in simplest radical form.
PELASE HELP ME
Answer:
hola
com
stas
Step-by-step explanation:
A student walks 10 km in 150 mins. What's the students average speed in Km/in
Answer:
The answer is 15 km/in
Step-by-step explanation:
150 divided by 10 is 15.
Therefore the answer is 15 km/in.
Solve for all values of c in simplest form.
|4-c| = 7
Answer:
Step-by-step explanation:
|4-c| = 7
4-c = ±7
c = 4 ∓ 7 = -3, 11
Which one of the following fractions is the largest?
5/6 1/3 3/2 5/2
Answer:
5/2
Step-by-step explanation:
Answer:
5/2 is the largest fraction.
Step-by-step explanation:
To find the largest fraction, we can convert some using the LCD (least common denominator)
Keep 5/6 as is.
1/3 = 2/6
3/2 = 9/6
5/2 = 15/6
So, 5/2 is the largest fraction.
The difference between a number and its square is 20. Find the
numbers.
Answer:
-4 or 5
Step-by-step explanation:
let number be x
x²-x=20
Rearrange
x²-x-20=0
(x+4)(x-5)=0
Separate
x+4=0, x-5=0
x=-4 or 5
what is the answer for this
500=125x+50
Answer:
3 3/5
Step-by-step explanation:
Answer:
Your answer would be 3.6, or 3 3/5
Step-by-step explanation:
We need to isolate x, so start by subtracting 50 from both sides: 450 = 125x
Next, divide each side by 125:
3.6 = x, or x = 3 3/5
Hope this helped!
(a) 50% of 164 (b)75%of 12 (c) 25/2 of 64
help me in these ques
of comparing quantities
Here goes the answer. Please mark brainliest.
© Solve the simultaneous equations
-3x + y= – 8
3x + 2y = – 13
X =?
y =?
Answer:
x=1/3
y=-7
Step-by-step explanation:
using the elimination method, you can add both equations vertically, to eliminate the x
-3x+y=-8
3x+2y=-13
3y=-21
y=-7
we then fix the value of y into the first equation
-3x+y=-8
-3x-7=-8
-3x=-8+7
-3x=-1
x=1/3
GENIUS OR ANYONE PLZ PLZ PLZ ANSWER THIS QUESTION
Answer:
A
Step-by-step explanation:
Answer:
The answer is lovely c
functions ! will give brainliest
i got 22 for a but am stuck on b & c :(
please explain what u r doing
Answer:
b) [tex]f^-1(x)[/tex]= ∛(4x-24)
c)2
Step-by-step explanation:
these ones are inverse functions
change the f(x) for y and make x the subject
y= x³/4 +6
(y-6)x 4 = x³
∛(4y-24)= x
then put x back were y is
[tex]f^-1(x)[/tex]= ∛(4x-24)
and to do c just put in 8 where x is
∛(4(8)-24)= 2
A color printer prints 13 pages in 8 minutes How many pages does it print per minute
Answer: 13/8 or 1.625
Step-by-step explanation: