Answer:
12
Step-by-step explanation:
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
how many real solutions does the equation sqrt 2x+4=1/2 x+1 have?
Answer:
unfortunately I do not have the answer, but this is like the only way to tell you something
The 3 real roots of the given equation.
To find the real roots.
What is quadratic equation?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.
Given that:
The equation are
[tex]\sqrt{2x+4}=\frac{1}{2x} +1\\[/tex]
By squaring both sides
[tex]2x+4=\frac{1}{4x^{2} }+1+\frac{1}{x} \\\\2x-\frac{1}{x}+3=\frac{1}{4x^{2} }\\\\8x^{3}-4x+12x^{2} -1=0\\ \\8x^{3}+12x^{2}-4x -1=0[/tex]
By solving quadratic equation ,Solutions for x
x1 = -1.74543
x2 = -0.17169
x3 = 0.41712
So, the 3 real roots of the given equation.
Learn more about quadratic equation here:
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factorise x squared + x - 12
Answer:
(x+4)(x-3)
Step-by-step explanation:
Answer:
(x + 4)(x - 3)
Step-by-step explanation:
Given
x² + x - 12
Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 1)
The factors are + 4 and - 3 , since
4 × - 3 = - 12 and 4 - 3 = + 1 , then
x² + x - 12 = (x + 4)(x - 3) ← in factored form
What is 9/12a = 1 ? Also what is 6/5b = 1 ? And Finaly what is 12c = 1 ?
Step-by-step explanation:
hope I understand your question
a = 9/12
b = 6/5
c = 1/12
please simplify the fractions by yourself
Marion is making trail mix for a group camping trip. She buys 3 pounds of granola for $3 per pound and 0.75 pounds of raisins for $2 per pound. What equation can you use to find the price per pound of the trail mix? 3(3)(0.75)(2) = (3 + 0.75)x 3(3) + 0.75(2) = (3 + 0.75)x 3(3)(0.75)(2) = (3 + 0.75) + x 3(3) + 0.75(2) = (3 + 0.75) + x
Answer:
B
Step-by-step explanation:
3(3) + 0.75(2) = (3 + 0.75)x
Complete the solution of the equation. Find the
value of y when x equals -8.
4x + 9y = -14
does anyone know what this is?
Answer:
Y is equal to 2
Step-by-step explanation:
X equals -8
So,
4(-8) + 9y = -14
-32 + 9y = -14
-32 + 32 + 9y = -14 + 32
9y = 18
1/9 × 9y = 18 × 1/9
y = 2
A business owner is paying for a dinner party that costs $212.00, including tax. If the tip is 20%, what is the total bill?
$218.40
$254.40
$276 60
$222.60
Answer:
$254.40
Step-by-step explanation:
Find the total bill by multiplying 212 by 1.2, which will calculate the cost included with the 20% tip:
212(1.2)
= 254.4
So, the total bill will be $254.40
Answer:
[tex]\$254.40[/tex]
Step-by-step explanation:
Since 20% as a decimal is 0.2, the total bill including tax is 1.2 times larger than the original bill.
Original bill of $212.00:
Final bill: [tex]212.00\cdot 1.2=\boxed{\$254.40}[/tex]
The second term in a sequence is 13. The term to term rule is "add 6"
Write an expression, in terms of n, for the nth term of the sequence.
Answer:
[tex]a_{n}[/tex] = 6n + 1
Step-by-step explanation:
This is an arithmetic sequence with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 13 - 6 = 7 and d = 6 , then
[tex]a_{n}[/tex] = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1
Answer:
the first few terms would be
7, 13, 19, 25, 31
nth term = 7 + 6(n+1)
nth term = 7+ 6n + 6
nth term = 6n + 13
You move down 2 units and up 8 units. You end at (0, 4). Where did you start?
Given:
You move down 2 units and up 8 units.
You end at (0, 4).
To find:
The starting point.
Solution:
Let the starting point be [tex](x,y)[/tex].
You move down 2 units and up 8 units. So, the rule of translation is:
[tex](x,y-2+8)=(x,y+6)[/tex]
You end at (0, 4).
[tex](x,y+6)=(0,4)[/tex]
On comparing both sides, we get
[tex]x=0[/tex]
[tex]y+6=0[/tex]
[tex]y=4-6[/tex]
[tex]y=-2[/tex]
Therefore, the starting point is (0,-2).
negative 5 plus positive 5
Answer:
0
Step-by-step explanation:
Help... A store owner collected data about the number of customers who came to the store in a day, y, for several days compared to the high temperature for that day, x. He found that the correlation coefficient was −0.76.
Answer:
strong, negative;
decreased
Step-by-step explanation:
A correlation coefficient that is close to 1, shows a strong association.
If the correlation coefficient is negative, it implies a negative association, meaning as one variable increases, the other decreases.
A positive correlation coefficient shows a positive association between two variables. This implies that as one variable increases, the other increases, or as one decreases, the other decreases as well.
In the case given, we are given that the correlation coefficient obtained is -0.76. This therefore shows a negative association. Also, the value is closer to 1.
This implies that there is a STRONG, NEGATIVE association association between x and y. This is because as the temperature (x) of the day increases across days, the number of customers who patronized the store DECREASED.
ReeeeeeeeeeeereEeeeeereeeee
Answer:
22
Step-by-step explanation:
B racket
I ndices
D division
M multiplication
A addition
Subtraction
Work out answer using the BIDMAS order
I’ve been stuck on these for a while, can someone help? Thank you :) !!
Answer:
6.32
5
254.34
Step-by-step explanation:
The lengths of the missing sides can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
first missing side
7² = 3² + x²
49 = 9 + x²
x² = 49 - 9
x² = 40
x = 6.32
second missing side
3² + 4²
9 + 16
= 25
√25 = 5
Area of a circle = πr²
Where : = π = pi = 3.14
3.14 x 9² = 254.34
The area of a rectangular painting is 5049 cm. If the width of the painting is 51 cm, what is its
length?
Answer:
The length is 99 centimeters.
Step-by-step explanation:
The area of a rectangle is found by multiplying:
A = Length • width
We also know that the area of the rectangular painting is 5,049 cm^2
An equation to represent this is:
51w = 5049
To find w, divide:
5049/51 = 99
CHECK YOUR ANSWER:
Formula tor area of a rectangle:
Length x width
Use formula with the measurements:
99 x 52 = 5049
So the length is 99 centimeters.
HOPE THIS HELPS!
30 points for 2 questions if you got the question correct I’m gonna give you brainlist
You bought a shirt for 13.50 that was originally 45.00 in terms of percent what discount did you get the shirt?
Please help i don't have enough time!! PISA: Exchange rate Mei-ling from Singapore has been preparing to go to South Africa for 3 months as an exchange student. She needed to convert some Singapore dollars (SGD) into South African Rand (ZAR). Mei-Ling discovered that the exchange rate between Singapore Dollar and South African Rand SeM 1 SGD = 4.2 ZAR Mei-Ling changed 3000 Singapore Dollars to South African Rand at this exchange rate. How much money did Mai Ling get in South African Rand?
Answer:
12600 (ZAR)
Step-by-step explanation:
4.2*3000
Find the solutions to the equation below.
Check all that apply.
30x^2 - 28x + 6 = 0
A. X = 4/5
B. X = 1/3
c. X = 1/2
D. X = 1/5
E. X = 3/5
F. X = 2/3
The solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic equation:
30x² - 28x + 6 = 0
a = 30, b = -28, and c = 6
Plug the values in the formula:
[tex]\rm x = \dfrac{-(-28) \pm\sqrt{(-28)^2-4(30)(6)}}{2a}[/tex]
After solving:
x = 3/5 or x = 1/3
Thus, the solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.
Learn more about quadratic equations here:
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El volumen de un prisma de base rectangular es 24 m3. Si el largo de la base es 2,5 m y su ancho es 4 m, ¿cuál es la altura del prisma?
Answer:
La altura del prisma es 2,4 m.
Step-by-step explanation:
Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus tres dimensiones, esto es, longitud*ancho*altura. El volumen se expresa en unidades cúbicas.
Entonces:
volumen= longitud*ancho*altura
En este caso, los datos conocidos son:
volumen= 24 m³longitud= largo de la base= 2,5 mancho= 4 maltura= ?Reemplazando:
24 m³= 2,5 m* 4 m* altura
Resolviendo:
[tex]altura=\frac{24 m^{3} }{2,5 m*4m}[/tex]
[tex]altura=\frac{24 m^{3} }{10 m^{2} }[/tex]
altura= 2,4 m
La altura del prisma es 2,4 m.
Equation of a line is y = 2x + 5
a) what is the gradient?
b)what is y- intercepted?
c) if the gradient is -3 and y-intercept is 1,then what is the equation of the line?
Answer:
Step-by-step explanation:
Generally, we have the equation of a straight line as;
y = mx + b
where m is the slope and g is y intercept
a) The gradient is the slope and we have the value as 2
b) The y-intercept here is 5
c) for slope -3 and intercept 1, the equation becomes
y = -3x + 1
In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is the scale factor of the dilation? A. 1 B. 2 C. 0.5 D. -0.5In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is the scale factor of the dilation? A. 1 B. 2 C. 0.5 D. -0.5
Answer:
C. 0.5
Step-by-step explanation:
The diameter of B is from -2 to 2, which = 4 units.
The diameter of B' is from -1 to 1, which equals 2 units.
2/4 = 1/2 = 0.5 scale factor.
What is the inverse relation of the function whose equation is y= 3x-2
Answer:
1/3x +2/3 = y
Step-by-step explanation:
y= 3x-2
To find the inverse, exchange x and y
x = 3y-2
And solve for y
x+2 = 3y-2+2
x+2 = 3y
Divide by 3
1/3(x+2) = 1/3(3y)
1/3x +2/3 = y
Help me !! Use the image to complete the equation below
m angle APD.
Hope It's help you.
Step-by-step explanation:
yeah angle m is APD so yeah
Change 1/3 to a decimal number (show the working)
Answer:
0.33
Step-by-step explanation:
1/3 can also be written as 1 ÷ 3 which equals 0.33
Answer:
0.333333333
Step-by-step explanation
how tall is three feet
Answer: if you mean Inches, its 25.
Answer:
36 inches or 1 yard
Step-by-step explanation:
the standard normal curve shown below models the population distribution of a random variable. what proportion of the values in the population does not lie between the two z-scores indicated on the diagram?
Answer:
The answer is B. 0.1131 because the molecule has been observed and the hill is upwards so there you have
which of the following exponential functions represents the graph below?
Answer:
D
Step-by-step explanation:
We can start by taking a look at the x and y intercepts. When x=0, y=3. Plugging this into each function,
5 * 3^(0) = 5
3 * 5^(0) = 3
5 * (1/3)^(0) = 5
3 * (1/5) ^ (0) = 3
Therefore, our answer must be either B or D. Then, although y=0 isn't given on the graph, based on where the graph is heading, we can say that y is getting smaller as x gets larger. For a big number, such as 100, we know that
3 * 5^(100) is something big and 3 * (1/5) ^ (100) is something small*. Therefore, as y must get small, not big, as x gets larger, D is our answer.
* We know that this is something small because anything less than 1 to the power of something greater than 1 makes it smaller. For example, 0.5² is 0.25, which is smaller than 0.5
9.03 which number is in the tenths place
Answer:
0
Step-by-step explanation:
think of the decimal as one
Answer:
Step-by-step explanation:
Zero (0) is in the tenths place here.
can you help me get the answer for this Q, please :)
Does someone know what the answer is? Help, please!
Answer:
if I'm not wrong it should be A
Rationalise the denominator and simplify:
7/√7
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {√7}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] =\frac{7}{ \sqrt{7} }\\ [/tex]
[tex] = \frac{7}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} }\\ [/tex]
[tex] = \frac{7 \sqrt{7} }{ \sqrt{7} \times \sqrt{7} }\\ [/tex]
[tex] = \frac{7 \sqrt{7} }{7}\\ [/tex]
[tex](∵ \sqrt{a} \times \sqrt{a} = a)\\[/tex]
[tex] = √7[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
Step-by-step explanation:
Given,
7/√7
The denominator is √7.
We know that
Rationalising factor of √a is √a.
Therefore, the rationalising factor of √7 is √7.
On rationalising the denominator them
=> (7/√7) × (√7/√7)
=> 7(√7)/(√7 × 7)
=> 7√7/7.
Hence, the denominator is rationalised.
