The slope and y-intercept will be the negative 5/2 and 4.
The complete question is attached below.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The equation is given below.
y > -(5/2)x + 4
The slope and y-intercept will be the negative 5/2 and 4.
The graph is also attached below.
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Point-Slope Form
*See photo*
Answer:
y = 3x - 5
Step-by-step explanation:
We know that the equation 'y = 3x + ?' intersects the point (1, -2). This means that when x = 1, y = -2 in out equation above. To solve this just plug in the x and y values to get '?'.
[tex]y = 3x + ?\\-2 = 3(1) + ?\\-5 = ?[/tex]
Now that we know '?' is -5, we write it back into slope intercept form, so our final answer is y = 3x - 5
8x3+70÷7-7
tell accordingly the correct answer will be marked as brainliest
Answer:
27
Step-by-step explanation:
When solving complicated equations like this, we need to remember the order of operations (PEMDAS), which is the order that we solve an equation
P arentheses
E xponents
M ultiplication
D ivision
A ddition
S ubtraction
now, here's the thing: we actually to multiplication/division at the same time, and the same thing with addition/subtraction
(as in, adding -4 is the same thing as subtracting 4, so we can't truly make a distinction between the two)
so, when we have multiple instances of multiplication/division , we solve left to right
(and then the same thing for addition/subtraction)
8 × 3 + 70 ÷ 7 - 7
so, we first need to multiply 8 by 3
8 × 3 = 24
next, we move to the right:
and we divide 70 by 7
70 ÷ 7 = 10
let's rewrite our equation:
(24) + (10) - 7
24 + 10 - 7 = 27
so, the answer to this expression is 27
hope this helps!! have a lovely day :)
What is the answer for 4x+1/3=20?
Answer:
x = 59/12
Step-by-step explanation:
4x + 1/3 = 20
4x = 20 - 1/3
12x/3 = 60/3 - 1/3
12x = 60 - 1
12x = 59
x = 59/12
Check:
4*59/12 + 1/3 = 20
236/12 + 4/12 = 20
240/12 = 20
On a coordinate plane, a circle has a center at (0, 0). Point (3, 0) lies on the circle.
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Does the point (2, StartRoot 6 EndRoot) lie on the circle shown? Explain.
Yes, the distance from (3, 0) to (0, 0) is 3 units.
Yes, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is 3 units.
No, the distance from (3, 0) to (2, StartRoot 6 EndRoot) is not 3 units.
No, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is not 3 units.
Answer: Option (4)
Step-by-step explanation:
We know that the radius of the circle is 3.
Using the distance formula, the distance from the given point to the center is
[tex]\sqrt{(\sqrt{6}-0)^{2}+(2-0)^{2}} = \sqrt{10} \neq 3[/tex]
Answer:d
Step-by-step explanation:
factoris fully 2ab² + 8a²b
Answer:
2ab(b + 4a)
Step-by-step explanation:
2ab² + 8a²b
Factor Out the 2:
2(ab² + 4a²b)
Factor Out the a:
2a(b² + 4ab)
Factor Out the b:
2ab(b + 4a)
P(x) Q(x) = R(x); if P(x)
72 Am
R(x); if P(x)=x+2 and R(x) = x³ - 3x² - 6x-2, what is Q(x)?
Answer:
Q(x) is = to 11x² that's my answer
Select the correct answer from each drop-down menu.
Determine the best measure of center and the skew of the data distribution.
(23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38)
The central tendency of the given data will be 22.79.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
There are 3 ways in which we can express the centre of the data given: (1) mean or average, (2) mode, (3) median
For the mean, we sum up all the given and divide them by the number of data
mean = 433 / 19 = 22.79
For the mode, we just determine which among the given data appears more frequently and in this given that is 23.
For the median, we arrange the numbers from highest to lowest and determine which number will appear in the centre. Since there are 19 data, we need to find which among them will appear to be the 10th. That is also 23.
So, the value that would best describe the central tendency is 23. Since the values to the left of 23 are more scattered than those to its right, the distribution exhibits negative.
Therefore central tendency of the given data will be 22.79.
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In which part of the graph is the distance from home decreasing?
Answer:
A) 2
Step-by-step explanation:
Because the slope is negative of line 2 the distance is getting smaller
Subtract (0.95x minus -0.04) minus (0.99x minus 0.13).
what’s the inverse of f(x)=(x+3)^3-1
Answer:
cbrt(x+1)-3=y
Step-by-step explanation:
The inverse of a function is when the domain and range are swapped. So to find the inverse simply swap the x and y in the equation and then solve for y.
[tex]y = (x+3)^3-1\\x=(y+3)^3-1\\x+1=(y+3)^3\\\sqrt[3]{x+1}=y+3\\\sqrt[3]{x+1}-3=y[/tex]
Under her cell phone plan, Sarah pays a flat cost of $69 per month and $4 per gigabyte. She wants to keep her bill at $83.80 per month. Write and solve an equation that can be used to determine g, the number of gigabytes of data Sarah can use while staying within her budget.
Answer:
83.80 = 69 + 4x
x = 3.7
Sarah can use up to 3.7 gigabytes per month to stay within her budget
Step-by-step explanation:
83.80 = 69 + 4x
14.8 = 4x
x = 3.7
The number of gigabytes of data Sarah can use while staying within her budget is 3.7 gigabyte.
Given that, Sarah pays a flat cost of $69 per month and $4 per gigabyte.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of gigabyte be g.
69+4g=83.80
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, 4g=83.80-69
⇒ 4g=14.8
⇒ g=14.8/4
⇒ g=3.7 gigabyte
Therefore, the number of gigabytes of data Sarah can use while staying within her budget is 3.7 gigabyte.
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Solve for x. The triangles are similar.
Answer:
[tex]\fbox {D. 10}[/tex]
Step-by-step explanation:
As the triangles are similar :
45/55 = (12x - 3)/143
9/11 = (12x - 3)/143
9 x 13 = 12x - 3
12x = 117 + 3
12x = 120
x = 10
Answer:
D. 10
Step-by-step explanation:
We can use similar triangles to solve this question. ΔRSE ≅ ΔFGE by SAS. We can set up this similarity equations: [tex]\frac{SE}{GE} = \frac{RE}{FE}[/tex] . Plugging in the numbers from the diagram, we get [tex]\frac{45}{12x-3} = \frac{55}{143}[/tex] . Using cross multiplication, we get the following equation:
[tex]45 * 143 = 55 *(12x-3)\\ 6435 = 660x - 165\\6600 = 660x\\x = 10[/tex]
Our final answer is D. 10
Rewrite the rational exponent as a radical exponent ^{^3\sqrt{2^7}}
Answer:
4 ^3sqrt(2)
Step-by-step explanation:
two 2's can come out of the square root and it leaves one left in it and 2x2 is 4 which is on the outside.
The area of a rectangular piece of land is 2/3 square mile.
One dimension is 1 1⁄2 miles.
Answer:
4/9 miles
Step-by-step explanation:
[tex]\sf Area = \dfrac{2}{3} \ square \ miles\\[/tex]
[tex]\sf length = 1\dfrac{1}{2}=\dfrac{3}{2} \ miles[/tex]
[tex]\sf Width \ of \ rectangle = \dfrac{Area}{length}[/tex]
[tex]\sf = \dfrac{2}{3} \div \ \dfrac{3}{2}\\\\ =\dfrac{2}{3}*\dfrac{2}{3}\\\\ =\dfrac{4}{9} \ miles\\[/tex]
Use KCF method for faction division.
K- Keep the first fraction.
C - Change the division to multiplication.
F - Flip the second fraction.
8. What least number must be subtracted from 13601 to get a number exactly divisible by 87?
Answer:
29
Step-by-step explanation:
87×156+29=13601
First do 13601/87=156.3333...
156 × 87 = 13572
13601-13572=29
so, 87×156+29=13601
Answer:
29Step-by-step explanation:
What least number must be subtracted from 13601 to get a number exactly divisible by 87?
13601 : 87 = 156 and remainder 29
so your answer is 29
---------------
check
(13601 - 29) : 87 =
13572 : 87 = 156
Find the value of x.
A. 6.6
B. 5.5
C. 8.8
D. 1.1
Answer:
the answer is D
Step-by-step explanation:
the answer is D because the
Answer: d
Step-by-step explanation:
Question 20 The sports budget for cricket, football, and netball was divided in the ratio 5: 3:2, respectively. The total sports budget is $1.200,000. How much money will netball receive? A. B. C. D. + O A OB O C O D $120,000 $240,000 $360,000 $600,000 Question 20 The sports budget for cricket , football , and netball was divided in the ratio 5 : 3 : 2 , respectively . The total sports budget is $ 1.200,000 . How much money will netball receive ? A. B. C. D. + O A OB O C O D $ 120,000 $ 240,000 $ 360,000 $ 600,000
Using proportions, it is found that the amount that netball will receive is of:
B. $240,000
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Due to the ratios, the proportion of funding that is destined to netball is given by:
[tex]p = \frac{2}{5 + 3 + 2} = \frac{2}{10} = 0.2[/tex]
Hence, out of $1.200,000, the amount destined to netball is:
A = 0.2 x $1.200,000 = $240,000.
Which means that option B is correct.
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True or false? Any fraction made up of two natural numbers is a rational number. Explain your answer.
Rational numbers are numbers that can be written in the form of a/b where a and b are integers.
What are Rational and Irrational numbers?Rational numbers are numbers that can be written in the form of a/b where a and b are integers.
Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.
Irrational numbers are those real numbers that are not rational numbers.
For example √2, π, √13, etc.
It is an important thing to Know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.
The given statement that any fraction is made up of two natural numbers is a rational number is true.
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If a data set has many extremely small data values, than the median will be
Answer:
If a data set has many extremely small data values, than the median will be the same.
What is the median?The middle number in a given sequence of number, taken as the average of the two middle numbers when the sequence has an even number of numbers.
The median is resistant to change no matter extremely small or large values.
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Peter's dog weighs 12 pounds more than Joe's dog. The dogs weigh 36
pounds all together. Write an equation to find the weight of Joe's dog.
Please help!!!!!!!
picture below
If the function is vertically stretched by a factor of 3, the resulting function will be g(x) = [tex]3(5^{x-2})[/tex]
Vertical stretch of a functionGiven the parent function f(x) = x, if the function is vertically stretched by k units, the resulting function will be g(x) = kx
Given the parent function
f(x) = [tex]5^{x-2}[/tex]
If the function is vertically stretched by a factor of 3, the resulting function will be g(x) = [tex]3(5^{x-2})[/tex]
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need help asap!!! ill give brainliest for right answer!
A rectangular pyramid has a height of 6 units and a volume of 40 units3. Shannon states that a rectangular prism with the same base area and height has a volume that is three times the size of the given rectangular pyramid. Which statement explains whether Shannon is correct?
A rectangular prism in which BA = 20 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.
A rectangular prism in which BA = 6.67 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.
A rectangular prism in which BA = 6.67 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.
Answer:
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct
Got it right one the test! <3
Sparky bought a rare Mickey Mantle baseball card for $16,500 that is increasing 8% in value every year. How much will the card be worth in 7 years?
Answer: 28,278.10
Step-by-step explanation:
[tex]a_{7} =16500(1.08)^7[/tex]
[tex]a_{7} =28278.1[/tex]
PLEASE HELP - mid term review question!
The isosceles triangle theorem states that if two sides of a triangle are _________, then the angles opposite those sides are congruent.
A. similar
B. adjacent
C. congruent
D. proportional
The isosceles triangle theorem states that if two sides of a triangle are congruent then the angles opposite those sides are congruent. The correct answer is option c.
What is the isosceles triangle?The triangle is having three sides in an isosceles triangle the two opposite sides are equal and the two adjacent angles with similar sides are equal.
The isosceles triangle theorem states that if two sides of a triangle are congruent then the angles opposite those sides are congruent.
Therefore the isosceles triangle theorem states that if two sides of a triangle are congruent then the angles opposite those sides are congruent. The correct answer is option c.
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mZACB = (6y-7)° and mZDCA = (8y - 1)°.
B
A
D
|
C
What is mZACB?
Answer: [tex]35^{\circ}[/tex]
Step-by-step explanation:
Angles ACB and DCA add to form angle ACB, which is a right angle, so:
6y - 7 + 8y - 1 = 90 [angles that add to form a right angle add to 90 degrees]14y - 8 = 90 [combine like terms]14y = 98 [add 8 to both sides]y = 7 [divide both sides by 14]So, [tex]m\angle ACB=6(7)-7=\boxed{35^{\circ}}[/tex]
Question 3 of 32
Which of the following could be the equation for a parabola that opens to the
left with vertex (-17, 2)?
A. x=-3(y-2)² - 17
OB. x-3(y +17)² +2
OC. y-3(x-2)² - 17
D. y=3(x+17)² +2
Answer:
A
Step-by-step explanation:
The parabola opens to the left, so this eliminates C and D.
Also, the vertex is at (-17, 2), and out of A and B, the only parabola with this vertex is A.
A cube has a side length x and an each dimension is being increased by y, guys. :)
A). Write an expression for the surface area of the new cube, and then expand, and simplify, guys. :)
B). Please find the difference of the surface areas of the new cube and the original cube, guys. :)
Surface area of old cube
6(side)²6x²Side of new cube
x+ySurface area
6(x+y)²6(x²+y²+2xy)6x²+6y²+12xyDifference
6y²+12xyAnswer:
A) 6(x + y)² = 6x² + 12xy +6y²
B) 12xy +6y²
Step-by-step explanation:
Surface area of a cube = 6s² (where s is the side length)
Part A
Given:
x = side length of original cube⇒ Surface area of the original cube = 6x²
If the side length of the cube is increased by y, then:
(x + y) = side length of new cube⇒ Surface area of the new cube = 6(x + y)²
Expand and simplify:
⇒ 6(x + y)²
⇒ 6(x + y)(x + y)
⇒ 6(x² + xy + xy + y²)
⇒ 6x² + 12xy +6y²
Part B
To find the difference between the surface areas of the new and original cubes, subtract the surface area of the original cube from the surface area of the new cube:
⇒ SA of new cube - SA of original cube
⇒ 6x² + 12xy +6y² - 6x²
⇒ 12xy +6y²
Which exponential equation is equivalent to this logarithmic equation? (2)
Answer:
A. e⁴=xStep-by-step explanation:
Log x=4 ➡️ e⁴=x or x= e⁴
Hope it helps
9.
Let f(x) = 2x + 2. Solve f−1(x) when x = 4. (1 point)
Answer:
1
Step-by-step explanation:
The value of the output given by the inverse for a given input is the same as the input of the original function that results in the output equal to the given input.
So, 2x + 2 = 4, meaning the answer is 1
Find the probability of drawing a heart from the standard deck of cards and then drawing a 5 from any suit after the first card is replaced in the deck. Write as a fraction in simplest form.
The probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52
How to determine the probability?In a standard deck of cards, we have:
Total = 52
Heart = 13
5's = 4
Since the cards are replaced, the probability is calculated as:
P(Heart and 5) = Heart/Total * 5s/Total
This gives
P(Heart and 5) = 13/52* 4/52
Evaluate
P(Heart and 5) = 1/52
Hence, the probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52
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