Answer:
This equation has two roots. We know this because of the format it is in. Any expression in the form ax² + bx + c is a quadratic one, which describes a parabola and has two roots.
In this case, the roots are -1 and 0.
Step-by-step explanation:
Let's see if we can find those values:
-6x² - 6x + 7 = 7
-6x² - 6x = 0
x² + x = 0
x(x + 1) = 0
x = -1, 0
We could also run through solving this by completing the square:
-6x² - 6x + 7 = 7
-6x² - 6x = 0
x² + x = 0
x² + x + 0.25 = 0.25
(x + .5)² = 0.25
x + .5 = ±√0.25
x + .5 = ± 0.5
x = -0.5 ± 0.5
x = -1, 0
A perfectly spherical scoop of ice cream has a surface area of 36π cm2 and the same diameter as the open end of the ice cream cone it rests on. The cone is 11 cm tall. If the ice cream melts into the cone, what volume of ice cream will overflow?
Answer:
9.43 cm³
Step-by-step explanation:
Given that the surface area of the spherical scoop is 36π cm², we find its radius. The surface area of a sphere, A = 4πr² where r = radius
36π cm² = 4πr²
r² = 36π cm²/4π
r² = 9 cm²
r = √(9 cm²)
r = 3 cm
So, the volume of the spherical scoop of ice cream is thus V = 4πr³/3
= 4π(3 cm)³/3
= 4π(9 cm³)
= 36π cm³
The volume of the ice cream cone is V' = πr²h/3 where r = radius of cone = radius of spherical scoop = 3cm and h = height of cone = 11 cm
V' = π(3 cm)² × 11 cm/3
= 9π cm² × 11 cm/3
= 33π cm³
So, the volume of ice cream that will overflow is thus V - V' = 36π cm³ - 33π cm³
= 3π cm³
= 9.43 cm³
Is the relation a function or no function?
Answer: I think is a function
Step-by-step explanation:
What is the slope of the line represented by the equation y = 4/5x-3?
Answer:
The slope is 4/5
Step-by-step explanation:
Can some one please solve these 10 questions I'm kinda confuse also please show the work for each willnmarl brianliest
Answer:
PEMDAS
Step-by-step explanation:
Follow this order to solve problems
Solve in
Parentheses
then
Exponents
then
Multiplication
or
Division
then
Addition
or
Subtraction
from left to right
Try to solve it on your own using this
Just to help ya out next time you have to answer these kind of questions
Answer:
1. 14 2. 64 3. 15 4. 27 5. 70 6. 62 7. 446 8. 23 9. 27 10. 102
Step-by-step explanation:
1. 4 + 84 / 7 - 2 2. 5 x 5 - 7 +82 / (2 x 1) + 5 3. (52-43) / 3 x (2 + 3)
4 + 12 -2 25 - 7 + 82 / 2 + 5 9 / 3 x 5
16 - 2 25 - 7 + 41 + 5 3 x 5
14 18 + 41 + 5 15
59 + 5
64
4. 40 / 1 + 3 - (3 x 7) + 7 - 2 5. 3 + 6 x 12 - 5 6. (54 / 6) - 7 + (4 x 15)
40 + 3 - 21 + 7 - 2 3 + 72 - 5 9 - 7 + 60
43 - 21 + 7 - 2 75 - 5 2 + 60
22 + 7 - 2 70 62
29 - 2
27
7. 5 x (49 / 1 - 5) x 2 + 9 - 3 8. 20 / 4 + 3 x 6 9. 19 + 63 / 9 x 3 - 13
5 x 44 x 2 + 9 - 3 5 + 18 19 + 7 x 3 - 13
220 x 2 + 9 - 3 23 19 + 21 - 13
440 + 6 40 - 13
446 27
10. (64 / 8) - 5 + (33 x 3)
8 - 5 + 99
3 + 99
102
Carmen runs 4 miles in 30 min. At the same rate, how many miles would she run in 48min?
Answer: 360 miles hope this helps :D
Step-by-step explanation: 30/4= 1 mile every 7.5 min
7.5min times 48 equals 360 miles
What's the rate of inflation, this one will be worth 100 points for whoever gives me the correct answer and brainliest (If I can spell)
Step-by-step explanation:
it is 4.5% rate in inflation
I think it helps you
Answer:
a 4.5 % rate in change
Step-by-step explanation:
Please help everything you need is on the picture.
Help with this question plzz
Answer:
I think it is 4 white and 3 blue
Step-by-step explanation:
Because they have 3 cups of white then 6 cups of white so i think they multiplied it. Then they have 4 cups of blue then 8 cups of blue. So if you multiply it, it will give you the answer. I hope this is right and it helped and can you mark me brainliest!!!!!!!!
Which of the following is an arithmetic sequence?
A 0,3, 8, 15, 24, 35, -..
B. 9, 4, -1, -6, -11, -16,
C. 1, 3, 6, 10, 15, 21,
D. -1, 0, 1, 0, 3, 0, ...
b
Step-by-step explanation: i don know
a/k + b = c/k make k as a subject
Answer:
By "make k as a subject", I assume you mean to solve for k?
If that is the case, then the answer is:
k = (c - a) / b
Step-by-step explanation:
Let's solve for k
a/k + b = c/k
Multiply both sides by k:
a + bk = c
Group terms containing k on the left:
bk = c - a
Divide both sides by k:
k = (c - a) / b
What is the difference between a rational and irrational number?
Answer:
Rational numbers are the numbers which are integers and fractions
Irrational numbers are the numbers whose expression as a fraction is not possible
Examples of Rational Number
1/9 – Both numerator and denominator are integers.
7 – Can be expressed as 7/1, wherein 7 is the quotient of integers 7 and 1.
√16 – As the square root can be simplified to 4, which is the quotient of fraction 4/1
0.5 – Can be written as 5/10 or 1/2 and all terminating decimals are rational.
0.3333333333 – All recurring decimals are rational.
Examples of Irrational Number
√2 – √2 cannot be simplified and so, it is irrational.
√7/5 – The given number is a fraction, but it is not the only criteria to be called as the rational number. Both numerator and denominator need to integers and √7 is not an integer. Hence, the given number is irrational.
3/0 – Fraction with denominator zero, is irrational.
π – As the decimal value of π is never-ending, never-repeating and never shows any pattern. Therefore, the value of pi is not exactly equal to any fraction. The number 22/7 is just and approximation.
0.3131131113 – The decimals are neither terminating nor recurring. So it cannot be expressed as a quotient of a fraction.
At a restaurant, the amount of your bill before taxes and tip is $19.83. A 6% sales tax is applied to your bill, and you leave a tip equal to 19% of the original amount. Use mental math to estimate the total amount of money you pay to the nearest dollar.
Answer:
$24.7875
Step-by-step explanation:
Step one:
given data
your bill before taxes and tip is $19.83
6% sales tax
tip equal to 19% of the original amount.
Required
The total expenses
Step two:
let the total expenses be y
let us calculate the cost of tax and the tip
Tax
=6/100*19.83
=0.06*19.83
=$1.1898
Tip
=19/100*19.83
=0.19*19.83
=$3.7677
Total
Y= 19.83 +1.1898 +3.7677
Y= $24.7875
carlos earned 57 points on one section of a test and 26 points on the other section. Which equation expresses his total score.
HELP PLS BROOO
ACTIVITY #1:
A. Write each number in scientific notation.
1. 38,000,000,000
4.0.000000001
2. 2,016,000,000,000 5. 0.000000001007
3. 0.000000000091306
Answer:
baaababababbabababab
Factor x2 – 8x + 15.
Which pair of numbers has a product of ac and a sum of b?
What is the factored form of the trinomial?
Answer:
x^2-8x+15
X^2+(a+b)X+ac
=X^2-(5+3)X+(1)(15)
a+b=8
ac=15
=x^2-5x-3x+15
=x(x-5)-3(x-5)
=(x-3)(x-5)
Answer:
a) -3 and -5
a) (x - 3) (x - 5)
Step-by-step explanation:
please help my assignment is missing and I really need to finish it.
Answer: it is D
Step-by-step explanation:
Nine times the sum of a number and 6 equals 7. nown number
A group of friends spent 1, 0, 2, 3, 4, 3, 6, 1, 0, 1, 2, and 2 hours online last night. What are the 1st and 3rd quartiles for this set of data?
For each 13 mm of coloured fabric Gordon uses to make his curtains he also uses 1 cm of white fabric express the amount of white fabric to coloured fabric as a ratio in its simplest form
Answer:
[tex]\frac{10}{13}[/tex]
Step-by-step explanation:
In the question, the units of the length of both colored and white fabrics are not the same. So, convert the unit of the white fabrics into mm.
The length of colored fabric used = 13 mm.
The length of white fabric used = 1 cm
= 10 mm
To express the white fabric to colored fabric, we have;
[tex]\frac{length of white fabric used}{length of colored fabric used}[/tex] = [tex]\frac{10mm}{13mm}[/tex]
= [tex]\frac{10}{13}[/tex]
Thus, the amount of white fabric to colored fabric can be expressed as[tex]\frac{10}{13}[/tex].
Hi can someone please help me with this question
Answer: B. 3x + 1/5
tom's pencil is longer than Ellen's pencil:
5x + 2/5 - (2x + 1/5) = 5x - 2x + 2/5 - 1/5 = 3x + 1/5 (cm)
Step-by-step explanation:
Select an expression equal to 6(4q + 8r)
Answer: B: 24q+48r
Step-by-step explanation: 6(4q+8r)
=(6)(4q+8r)
=(6)(4q)+(6)(8r)
=24q+48r
I need some help ? Does anyone know this:)I’m new too this thats why im asking loll
Answer:
36
Step-by-step explanation:
area of rectangle =length x width
givens:
width=4 units
length=9 units
area=9x4=36 units squared
|-1|=-1 is this true
Answer:
False
Step-by-step explanation:
The question is asking for the absolute value of -1. The absolute value is the distance of a number from 0. Think of a number line. -1 is one place away from 0, so the absolute value of -1 is 1. Therefore, the statement is not true.
Which of the following shapes are quadrilaterals ? Please choose 2 correct answers !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!
Answer:
B and D
Step-by-step explanation:
quadrilaterals only have 4 sides hence the prefix quad
Answer:
B and D
Step-by-step explanation:
C has five sides and A has three sides with a curve, curve doesn't count as a side
Which matrix will always give a determinant of 0?
a matrix having all nonzero numbers
a matrix not being the identity matrix
a matrix not having equal rows
a matrix having two equal rows
Answer:
It's D, a matrix having two equal rows
Step-by-step explanation:
please help!! I will give brain liest for whoever answers them right
Answer:
1 - 6x+8
2 - 4y+5
3 - 7g+5
4 - 2w+4
5 - 14d-12
6 - -3r+5
7 - 8
8 - -10p+10
A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?
A coordinate plane.
–6
–1
1
6
Answer:
the answer is option 4: 6
Step-by-step explanation:
What is the value of the expression
245-4) - 3 x (2+1)
7
19
51
1.75
Answer:
Step-by-step explanation:
(245 - 4) - 3 x (2 + 1)
241 - 3 x 3
241 - 9
232
or if u wrote the problem wrong
(45 - 4) - 3 x (2 + 1)
41 - 3 x 3
41 - 9
32
actually comment what the actual equation is and I'll solve that, bc I don't think you typed it right
why is the graph of the rose curve r=4cos2theta
Answer:
The correct answer is B.
Step-by-step explanation:
Any point can be represented in polar form by using the notation:
[tex]A = (r, \theta)[/tex] (1)
And any polar function must satisfy the following definition:
[tex]r = f(\theta)[/tex]
Let [tex]r(\theta) = 4\cdot \cos 2\theta[/tex], where [tex]r[/tex] is the radial distance of any point of the curve from origin and [tex]\theta[/tex] is the direction of any point of the curve with respect to +x semiaxis, measured in radians.
Finally, we proceed to graph the function with the help of a graphing tool and attach the result.
Besides, we must remember that cosine is a bounded function, which means that domain and range in rectangular coordinates are represented by:
[tex]Dom\{f\} = [-4,4][/tex], [tex]Ran\{f\} = [-4,4][/tex]
Then, the correct answer is B.
Which ordered pair is a solution of the equation?
52 - 2y = 18
Answer: y=17
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
52−2y=18
52+−2y=18
−2y+52=18
Step 2: Subtract 52 from both sides.
−2y+52−52=18−52
−2y=−34
Step 3: Divide both sides by -2.
−2y
−2
=
−34
−2
y=17