Answer:
x=9
Step-by-step explanation:
first, subtract 3 from both sides so 2x^2=36, then, divide both sides by 2 so x^2=18 and divide 18 by 2 and 9^2=18
Answer:
x = ± 3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
2x² + 3 = 39 ( subtract 3 from both sides )
2x² = 36 ( divide both sides by 2 )
x² = 18 ( take square root of both sides )
x = ± [tex]\sqrt{18}[/tex] = ± [tex]\sqrt{9(2)}[/tex] = ± ( [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] ) = ± 3[tex]\sqrt{2}[/tex]
To make a specific hair dye, a hair stylist uses a ratio of 1 oz of red tone, oz of gray
tone, andoz of brown tone.
1. If the stylist needs to make 100 oz of dye, how much of each dye color is needed?
2. If the stylist needs to make 100 oz of dye, how much of each dye color is needed?
Answer:
5.9 oz red tone,
1.7 oz gray tone,
2.9 OZ of brown tone
What is the equation of a line parallel to:
PLEASE EXPLAIN. STEP BY STEP
Answer:
y= ⅗x +1
Step-by-step explanation:
Given line: y= ⅗x +4
Gradient= ⅗
The gradient of the line can be found from the coefficient of x. This applies only when the equation is in the slope-intercept form (y= mx +c).
In the slope-intercept form, the coefficient of y is 1 and all the other terms and constant is on the right-hand side of the equation while the y term is on the left-hand side.
Parallel lines have the same gradient. Thus the line parallel to y= ⅗x +4 would have the equation of y= ⅗x +c, where c is the y-intercept.
To find the value of c, substitute a pair of coordinates into the equation.
Given that the line passes through (-5, -2), we can substitute this coordinates into y= ⅗x +c.
When x= -5, y= -2,
-2= ⅗(-5) +c
-2= -3 +c
c= -2 +3
c= 1
Thus, the equation of the line is y= ⅗x +1.
Please solve question 6 with steps i’m having so much trouble
If you still need help just respond, I'll type it out
stop and shop is having a sale on paper towels: 5 rolls for 3$. how much will 12rolls(s) cost?
Answer:
$7.20 for 12 rolls
Step-by-step explanation:
let x = the price of one roll
5x = $3
x = $3/5
12 • x = total cost
12 • $3/5 = total cost
$36/5 = total cost
$7.20 = total cost
please help me. I will give a lot of points!!!
Answer:
The value of this expression is A: 3Step-by-step explanation:
the area of a trapezoid is 42 square feet and its height is 4 feet. the length of one base of the trapezoid is 9 feet. what is the lenght of its other base
Answer:
12
Step-by-step explanation:
area of a trapezoid :
[tex]A = \frac{a+b}{2} h[/tex]
where a and b = length of bases and h = height
here, we are given the area, the length of one base and the height
we want to find the other base length
we can do this by plugging in what we are given and then solving for the unknown variable
first lets define our known variables
Area (A) = 42 , height (h) = 4 and length of one of the bases (a) = 9
we then plug this into the formula and solve for b, the other base length
recall formula : [tex]A = \frac{a+b}{2} h[/tex]
A = 42 , h = 4 , a = 9
[tex]42 = \frac{9+b}{2} 4[/tex]
now solve for b
divide both sides by 4
[tex]10.5=\frac{9+b}{2}[/tex]
multiply both sides by 2
21 = 9 + b
subtract 9 from both sides
12 = b
the other base length is 12
How do you use bodams
Answer:
Step-by-step explanation:
The BODMAS rule states we should calculate the Brackets first (2 + 4 = 6), then the Orders (52 = 25), then any Division or Multiplication (3 x 6 (the answer to the brackets) = 18), and finally any Addition or Subtraction (18 + 25 = 43). Children can get the wrong answer of 35 by working from left to right.
Angles A and B are complementary. If cos A = 7x − 9 and sin B = 4x + 15, what is the value of x?
Group of answer choices
47
21
8
2
The value of x according to the described angles is; 8
Complementary anglesIf two angles A and B are complementary, it follows that A + B = 90 and Cos A = Sin B.
From the statement above, it follows that;
4x + 15 = 7x -9Collect like terms;
15 +9 = 7x - 4x3x = 24Divide both sides by 3;
x = 24/3 = 8.
Read more on complementary angles;
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Warren bought cupcakes for his sister's birthday party. 40% of the 35 cupcakes had sprinkles on top. How many cupcakes had sprinkles?
Answer:
14 cupcakes
Step-by-step explanation:
40 percent of 35 is 14
Answer:
14 cupcakes had sprinkles.
Step-by-step explanation:
Write 40% as 40/100. Since finding the fraction of a number is the same as multiplying the fraction with the number, we have 40/100 of 35 = 40/100 × 35.
what is f(g(x)) when f(x)=3x+1 and g(x)=4x^2-4
Answer:
f(x)=3x+1 = (-1/3, 0)
g(x)=4x^2-4 = (1, 0), (-1, 0)
Step-by-step explanation:
Hope this helped!
Answer:
f(g(x)) = 12x² - 11Step-by-step explanation:
Given:
f(x) = 3x + 1g(x) = 4x² - 4Find f(g(x)):
f(g(x)) = f(4x² - 4) = 3(4x² - 4) + 1 = 12x² - 12 + 1 = 12x² - 11help me with geometry please
Answer:
140 = aangle 1
Please Expand This
2p(7p=7)
Answer:
[tex]2p(7p = 7) \\ 14 {p}^{2} = 14p \\ 14 {p}^{2} - 14p = 0[/tex]
Write an explicit equation for the sequence based on the graph at right.
Answer:
[tex]t(n)=12 \cdot 3^{n-1}[/tex]
Step-by-step explanation:
From inspection, the points on the graph are:
(1, 12)(2, 36)(3, 108)Therefore, as terms of a sequence:
[tex]t_1=12\\\\t_2=36\\\\t_3=108[/tex]
The difference between the y-coordinates is not equal, therefore the sequence is geometric.
Geometric sequence formula: [tex]t_n=t_1r^{n-1}[/tex]
As [tex]t_1=12 \implies t_n=12r^{n-1}[/tex]
To find r, divide one term by the previous term:
[tex]r=\dfrac{t_3}{t_2}=\dfrac{108}{36}=3[/tex]
Therefore, geometric sequence formula: [tex]t_n=12 \cdot 3^{n-1}[/tex]
Find the slope of this line
Answer:
the slope is undefined
Step-by-step explanation:
x=-2 is a horizontal line, if the line you're looking for is perpendicular to a straight line then its a vertical line, making the slope undefined
Please Help Me !!!! Its A Math Question!! The path of a ball being thrown off a building can be modeled by the equation y= -16t^2+64t+80
How long does it take to get to its maximum height?
What is its maximum height?
How long does it take to hit the ground?
What is an appropriate domain and range for this function?
What does the 80 in the equation represent?
Answer: Also can i have brainliest?
The ball will hit the ground 5 seconds after being thrown.
Step-by-step explanation:
The correct function is: h(t)= -16t^2+64t+80
You can rewrite the Quadratic function given in the exercise with making h(t)=0. Then this is:
0= -16t^2+64t+80
Now you can simplify the equation dividing both sides by -16. So you get:
0= t^2-4t-5
To find the solution of the Quadratic equation, you can factor it. In order to do this, it is necessary to find two numbers whose sum is -4 and whose product is -5. These number would be -5 and 1.
Therefore, you get this result:
0= (t-5) (t+1)
t1=5
t2=-1
Since the time cannot be negative, you can conclude that the ball will hit the ground 5 seconds after being thrown.
For the path of a ball being thrown maximum height is 144 units, time taken to reach maximum height is 2 units and time, it take to hit the ground is 5 units.
What is projectile motion?Projectile motion is the motion of the body, when it is thrown in the air taking the action of gravity on it.
The path of a ball being thrown off a building can be modeled by the equation
[tex]y= -16t^2+64t+80[/tex]
Time taken to reach maximum height-Comparing this equation, with standard form of quadratic equation, we get, a=-16, b=64 and c=80.
Thus, the maximum height time can be given as,
[tex]t=-\dfrac{b}{2a}\\t=-\dfrac{64}{2(-16)}\\t=2\rm sec[/tex]
Thus, the time taken to reach maximum height is 2 seconds.
The maximum height-Again by the equation,
[tex]y= -16t^2+64t+80[/tex]
As it reaches maximum height after the 2 seconds. Therefore,
[tex]y_{max}= -16(2)^2+64(2)+80\\y_{max}= 144\rm[/tex]
Time, it take to hit the ground-This can be find out with the following formula,
[tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\dfrac{-64\pm\sqrt{64^2-4(-16)(80)}}{2(-16)}\\t=\dfrac{-64\pm96}{-32}\\[/tex]
Taking negative sign,
[tex]t=\dfrac{-64-96}{-32}=5\\[/tex]
Taking positive sign,
[tex]t=\dfrac{-64+96}{-32}=-1\\[/tex]
Thus the time, it take to hit the ground is 5 units.
The 80 in the equation represent-80 is the constant coefficient of the equation, which represent the height in the feet.
Hence, for the path of a ball being thrown maximum height is 144 units, time taken to reach maximum height is 2 units and time, it take to hit the ground is 5 units.
Learn more about the projectile motion here;
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Need help with these two questions.
Answer:
Answer is below :)
Step-by-step explanation:
Hope this helps you!
Maysoun drove 1116 kilometers in 12 hours. At the same rate, how long would it take her to drive 651 kilometers?
Answer:
7
Step-by-step explanation:
3 and 0.75x = 10 and 0.25x what is x
Answer:
14
Step-by-step explanation:
with "and" you mean "+" ?
if so, then
3 + 0.75x = 10 + 0.25x
you know that it is perfectly OK to add or subtract the same number to/from both sides of the equation ?
the same for multiplication and division.
the important thing is to do always the same thing to both sides.
1. subtracting 3 from both sides
0.75x = 7 + 0.25x
2. subtracting 0.25x from both sides
0.5x = 7
3. dividing both sides by 0.5
x = 7/0.5 = 7 / 1/2 = 7 × 2/1 = 14
Find the coordinates of point D in each diagram:
Answer:
Thank you for these points
Step-by-step explanation:
Answer:
Step-by-step explanation:
Yeah thanks.
Have a great day!
In rectangle ABCD, the diagonals AC and BD intersect at E. If AE = 2x+4 and BD = 8x - 32, then the length of AC is
The length of the diagonal AC is equal to the length of the diagonal BD,
which is 8×10 - 32 = 48.
Response:
The length of AC is 48Which properties of a rectangle is used to find the length the diagonal AC?The given parameters are;
The diagonals of the rectangle are AC and BD
The point of intersection of the rectangle = Point E
AE = 2·x + 4
BD = 8·x - 32
Required:
The length of AC
Solution:
The diagonals of a rectangle bisect each other and have equal length.
Therefore;
AE = [tex]\mathbf{\frac{1}{2}}[/tex] × BD
Which gives;
[tex]2 \cdot x + 4 = \mathbf{\dfrac{1}{2} \times \left(8 \cdot x - 32\right)}[/tex]
2·x + 4 = 4·x - 16
4·x - 2·x = 4 + 16 = 20
2·x = 20
[tex]x = \dfrac{20}{2} = 10[/tex]
x = 10
AC = 2 × AE
Which gives;
AC = 2 × (2·x + 4) = 4·x + 8
The length of AC = 4 × 10 + 8 = 48
Learn more about the properties of a rectangle here:
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TBH, i am not sure what im doing. Here is a pic of the question.
Answer:
7
Step-by-step explanation:
The order of operations tells you to start any evaluation by looking at the innermost set of parentheses first.
Here, that means your first step is to find the value of h(-3). You do that by finding the input (x) value -3 in the table for h(x), and locating the corresponding output, h(x), which is 2.
Now, the problem becomes evaluating g(2).
You do the same thing for that function: locate the input x=2 in the table for g(x) and find the corresponding output: 7.
Now, you know ...
g(h(-3)) = g(2) = 7
At a sale this week, a sofa is being sold for $731. This is a 15% discount from the original price.
What is the original price?
In one week a shop buys 15 bottles of soy sauce at a price of Rp. 127,500. If on
the following week the shop owner ordered 24 bottles of soy sauce, how much money to pay
the shop owner?
PQRS is a Quadrilateral such that pq=8cm , QR = 4cm and SR=5cm If PQ and SR are Produced to meet at x such that Qx = 8cm. and RX=10cm Calculate Ps to a suitable degree of accuracy
Answer:
PS ≈ 6.08
Step-by-step explanation:
All of the side lengths are given except PS. It can be found using the Law of Cosines, twice.
The first use of the Law of Cosines will be to find the cosine of the angle at X.
QR² = QX² +RX² -2(QX)(RX)cos(X)
cos(X) = (QX² +RX² -QR²)/(2·QX·RX) = (8² +10² -4²)/(2·8·10) = 37/40
__
Now, the Law of Cosines can be used to find PS:
PS² = PX² +SX² -2(PX)(SX)cos(X)
PS² = 16² +15² -2(16)(15)(37/40) = 37
PS = √37 ≈ 6.083
The length of PS is about 6.08 units.
_____
As the attachment shows, the problem can also be solved using a geometry app to draw the figure and make the measurement.
This is End behavior. I’m not sure how to do it. 50 Points
Answer:
The 2nd option
Step-by-step explanation:
As x approaches postive and negative infinity, y approches negavite infinity
The ATT Building (IE Batman Building) in Nashville is 614 feet tall. A model of 1 point
the building is 60 inches tall. What is the ratio of the height of the model to
the height of the actual ATT Building?*
Your answer
The ratio of the height of the model to the height of the actual ATT Building is 0.00814
Equation
An equation is an expression used to show the relationship between two or more variables and numbers.
12 inches = 1 ft.
Height of model = 60 inches = 60 inches * 1 ft per 12 in = 5 ft.
Height of ATT Building = 614 ft.
Ratio of the height of the model to the height of the actual ATT Building = 5 ft / 614 ft = 0.00814
The ratio of the height of the model to the height of the actual ATT Building is 0.00814
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Please help with this question !! Which methods will determine 60% of 56?
Choose all correct answers.
A. Determine 1% of 56, and multiply the result by 6.
B. Determine 1% of 56, and multiply the result by 60.
C. Determine 10% of 56, and multiply the result by 6.
D. Determine 10% of 56, and multiply the result by 60.
Answer:
A. Determine 1% of 56, both of them
Step-by-step explanation:
Desiree buys two bracelets for a little more than $40 before tax. When she gets home, her mother asks her how much each bracelet costs. Desiree cannot remember the individual prices. Use indirect reasoning to show that at least one of the bracelets cost more than $20.
Answer:
#FOR MY OPINION
hes have some $40 dollars before doing the tax
and she buy the bracelet bracelet prise is $5
AND HER MOTHER ASK THE BRACELET AND HER MOTHER GET SOME $20 DOLLARS THE TOTALY IS- $15.4
Step-by-step explanation:
Please help me math and Thanks
Answer:
(- 7, - 4 ) and (4, 7 )
Step-by-step explanation:
under a clockwise rotation about the origin of 180°
a point (x, y ) → (- y, - x ) , then
(- 7, - 4 ) → (4, 7 )
A 19 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground if 18 foot from the base of the building.
Answer:
The answer would be 342
Step-by-step explanation:
Multiply 19 by 18 and you get 342
Answer:
Square root of 37, about 6.08
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
18^2 + b^2 = 19^2
324 + b^2 = 361
b^2 = 37
b= sqrt37
b about equal to 6.08