Answer:
y=3/2x+2.5
Step-by-step explanation:
Is the expression
3/4a (16b + 24) equivalent to 12ab + 18a?
SHOW YOUR WORK
Answer:
Yes they are equivalent.
Step-by-step explanation:
since 16 times 3/4 is 12 and a times b is ab. Put those together and you get 12ab. Since 3/4 of 24 is 18 and the variable is a, it is 18a. Hope this helped.
John says the transformation rule (x, y) Right-arrow (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?
sample response: The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.
Answer:
The transformation rule should be applied to the pre-image. The application of the rule results in the point (8, 12). The transformation rule was applied to the wrong point.
Step-by-step explanation:
Solve the system.
4x+2y+3z=12
2x−3y+5z=−7
6x−y+4z=−3
how many one-digit integers are there
what is the surface area
The function y= -0.2 + 0.5 represents the percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer.
A. Identify and intercept the x- intercept
B. Identify and intercept the y-intercept
Answer:
A
Step-by-step explanation:
intercept the x- intercept
Answer:
Step-by-step explain
x-intercept: 2.8 hours
y-intercept: 0.7 . . . . fraction of power remaining
Step-by-step explanation:
The equation is in slope-intercept form, so the y-intercept can be read directly: 0.7.
To find the x-intercept, set y=0 and solve for x:
0 = -0.25x +0.7
0.25x = 0.7 . . . . . add .25x
x = 2.8 . . . . . . . . . multiply by 4 (that is, the reciprocal of 0.25)
The x-intercept is 2.8; the y-intercept is 0.7.
Simplify: Square root of -16
4
4*4 = [tex]\sqrt{x}[/tex]16 not sure how it gets negative
I need help due in a Hour PLZ HURRY
Answer:
circumference=πd=6πcm
circumference of dark arc =(360-120)/360×πd=
240/360×6π=4π is the required answer
which equation is represented by the phrase a number increased by 3 equals 10
please help with question 2 50 points for answer and brainliest
Answer:
b) Reflection over y = -2
Step-by-step explanation:
Reflection over y = -2
need help with questions 15 and 16 please
Answer:
#15: y = -5x -4
#16: y = 2/5x -4
Step-by-step explanation:
Lets start with #15:
Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.
First we can locate the y-intercept, or where the line passes through the y-axis.
The y-intercept is -4.
Substitute in the Slope-Intercept Form Equation:
y = mx -4
Pick another point and substitute its x and y values in this equation.
I chose (-1,1) and substituted as 1 = m(-1) -4
Isolate m:
1 + 4 = -m - 4 + 4
5 = -m
m = -5
The Equation in Slope Intercept Form is y = -5x -4
Let's do #16.
Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.
First we can locate the y-intercept, or where the line passes through the y-axis.
The y-intercept is -4.
Substitute in the Slope-Intercept Form Equation:
y = mx - 4
Pick another point and substitute its x and y values in this equation.
I used Fractional Points as Whole ones were not seen.
I chose (5/2,-3) and substituted as -3 = m(5/2) - 4
Isolate m:
-3 + 4 = 5m/2 - 4 + 4
1= 5m/2
m=2/5
The Equation in Slope Intercept Form is y = 2/5x - 4
Hope I helped, Brainliest would be appreciated :)
Have a fantastic day!
-Aadi x
The class was given a test that had a total of 125 points possible. A student then earned an 84% on the test. What are the total points that this student earned, out of the possible 125 points?
Help me please!!
Answer:
Step-by-step explanation:
84/100 = x/125
x = 105 points
Chau and Yoko each opened a savings account today. Chau opened his account with a starting amount of $460, and he is going to put in $60 per month. Yoko opened her account with a starting amount of $530, and she is going to put in $50 per month.
Let x be the number of months after today.
(a) For each account, write an expression for the amount of money in the account after x months.
Amount of money in Chau's account (In dollars) =
Amount of money in Yoko's account (in dollars) =
(b) Write an equation to show when the two accounts would have the same amount of money.
Answer:
A1-60x+460
A2-50x+530
B-60x7+460
50x7+530
Step-by-step explanation:
A1 and A2-since x is equivalent to number of months we multiply the number of months then add it to the original cost to get how much total you get in the account.
B-you add 50 to 530 and 60 to 460 until they equal the same amount in this case its 7 times.
GIVING BRAINLIEST Find the surface area of the net below
Answer:
119
Step-by-step explanation:
1/2x5x7x4+7x7
can I have the brainliest ?
Answer:
119 m
Step-by-step explanation:
First find the square 7x7 = 49m
Now the triangle [tex]\frac{5 * 7}{2}[/tex] = 17 .5
17.5 * 4 = 70m
70m + 49m = 119m
Which numbers from the list below are irrational numbers?
Your answer:
fraction numerator square root of 3 over denominator 7 end fraction
square root of 2.3 end root
8.5353...
fraction numerator negative 2 over denominator 5 end fraction
Answer:
1st and 2nd option are the correct answers.
Jeremiah invested
$
800
$800 in an account that pays 3% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Jeremiah would have in the account 14 years after his initial investment. Round to the nearest tenth (if necessary).
Answer: 1210.1
Step-by-step explanation:
when you Subtract: 70-(-11) what is your answer
Answer:
81
Step-by-step explanation:
How do i slove for x2 + 19 = 3
Answer:
x = ± 4i
Step-by-step explanation:
x^2 + 19 = 3
Subtract 19 from each side
x^2 +19-19 = 3-19
x^2 = -16
Take the square root of each side
sqrt(x^2) = sqrt(-16)
x = sqrt(-1*16)
x =sqrt(-1) * sqrt(16)
We know that the square root of -1 is the imaginary number i
x = ± 4i
Help with this please
Answer:
$1.21 per song
Step-by-step explanation:
6 × $1.21 = $7.26
17 × $1.21 = $20.57
20 × $1.21 = $24.50
Which of the following is a solution of x^2+6x=-18
We are provided with a quadratic equation , and we have to find it's roots , but let's recall some things
The Standard Form of a quadratic equation is ax² + bx + c = 0 If D > 0 , then the equation have two real and distinct roots/zeroes . If D = 0 , then the equation have two equal roots/zeroes .If D < 0 , then the equation have two imaginary roots/zeroes or you can say that no real rootsWhere , D is the Discriminant whose value is b²- 4ac and the roots of the equation are given by a very famous formula called The Quadratic Formula , which is as follows ;
[tex]{\quad {\boxed{\pmb{\bf x = \dfrac{-b \pm \sqrt{D}}{2a}}}}}[/tex]
Now , coming back on the question ;
We are provided with the equation x² + 6x = -18 , so on comparing this equation with the standard form of quadratic equation , we have , a = 1 , b = 6 and c = 18 . Now calculating the Discriminant ;
[tex]{: \implies \quad \sf D=(6)^{2}-4\times 1 \times 18}[/tex]
[tex]{: \implies \quad \sf D=36-72}[/tex]
[tex]{: \implies \quad \sf D=-18}[/tex]
As , D < 0 , so two imaginary roots exist . Now by quadratic formula ;
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{-36}}{2\times 1}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{\underline{6\times 6}\times -1}}{2}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\sqrt{-1}}{2}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\iota}{2} \quad \{\because \sqrt{-1}=\iota\}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{2(-3\pm 3\iota)}{2}}[/tex]
[tex]{\quad \qquad \boxed{\bf \therefore \: x=-3 \pm 3\iota}}[/tex]
Are the following triangles similar? Show all work and/or explanations. If so, state the reason (SSS,SAS,AA)
Y=6x-3 function rule
Answer:
f(x) = 6x - 3
Step-by-step explanation:
The Washington Monument is an obelisk with a square pyramid top. The slant height of the pyramid is 55.5 feet, and the square base has sides of 34.5 feet. Find the surface area of the pyramid.
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answer:
First box: 12.56, second box: 12.56
Step-by-step explanation:
We know the volume (v) is 25.12
We know the base's area (b) is 12.56 (from the statement supplied)
there are 40 students on a swim team.The coach needs to rent vans to take the team to a swimming competition.Each van can take 6 swimmers. how many vans will the coach need for 40 students.
Answer:
They will need 7 vans.
Answer:
The answer is 7 vans
Step-by-step explanation:
Divide 40/6
you get 6.6 so you just round up to 7.
The 7th bus will have less passengers but that is how many you will need for everyone to fit
Hope that helps
Which of the following expressions is equivalent to (2x)3 ?
Group of answer choices
6x4
2x3
8x3
6x3
btw the numbers on the right are exponents
Answer:
6x3
Step-by-step explanation:
....................
John is making a circular table that has a top with a diameter of 24 inches. Find the circumference of the table and round to the nearest tenth.
Answer:
The cirumference would be 78.5.
24*pi would equal 75.5398163397 so just round that.
Hope this helped
does anyone know this i will give brainliest
Answer: -324.4
Step-by-step explanation:
Harold is moving a 5- foot tall refrigerator. He tilts it onto its rear edge forming an angle between the back of the refrigerator and the floor; the top edge of the tilted refrigerator is exactly 4 feet above the floor as shown in the following diagram.
What is the cosine of the angle the refrigerator makes with the floor?
A, 4/5
B, 5/4
C, 4/3
D, 3/4
E, 3/5
Please help I’ll give branliest
The cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
Harold tilted the 5 foot fridge, so the slanting height = 5 feet
The tilted refrigerator makes the height 4 feet from the floor.
From the diagram,
The three sides of the triangle according to Pythagoras theorem are
Hypotenuse side, h = 5 feet
Opposite side, o = 4 feet
Let a be the adjacent side.
By Pythagoras theorem,
[tex]Hypotenuse^{2} = Opposite^{2}+Adjacent^{2}[/tex]
⇒ [tex]5^{2} =4^{2} +a^{2}[/tex]
⇒ [tex]a^{2} = 25-16[/tex]
⇒ [tex]a=\sqrt{9}[/tex]
⇒ [tex]a=3[/tex]
Thus the trigonometric ratio cosine of the angle is
[tex]cos \theta =\frac{Adjacent}{Hypotenuse}[/tex]
⇒ [tex]cos \theta =\frac{3}{5}[/tex]
Hence we can conclude that the cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.
Learn more about trigonometry here
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What is the possible scale factor for the rectangle?
Answer:
A
Step-by-step explanation: