Answer:
If a is negative or zero there are no real solutions
Step-by-step explanation:
y=ax^2-8
Set equal to zero to find the solution
0 =ax^2-8
Add 8 to each side
8 = ax^2
Divide by a a cannot be zero or we cannot divide by it
8/a = x^2
Take the square root of each side
sqrt(8/a) = sqrt(x^2)
We need 8/a to be positive for it to have real solutions
That means a has to be positive
If a is negative or zero there are no real solutions
This is the question that I need help with.
Answer: 16 + 55 = 71cm^2
Step-by-step explanation:
You want to divide this figure into 2 rectangles. There are two ways to do this, but either one will give you the same answer.
First One:
It has the dimensions of 5 and 11. 5 x 11 = 55cm^2
Second One:
This one wont be straightforward like the first one. You need to find these sides manually.
7 + x = 11
x = 4
Then,
9 - x = 5
x = 4
4 x 4 = 16cm^2
A function is represented by the table. x y 3 -2 5 -26 7 -50 The rate of change of the function represented in the table is . For the given x- and y-values, the function is .
Answer:
Step-by-step explanation:
Here is your x/y table, a bit more organized:
x | 3 5 7
y | -2 -26 -50
The rate of change is the same thing as the slope. If the slope between coordinates 1 and 2 is the same as the slope between coordinates 2 and 3, we have a linear function in the form y = mx + b, where m is the slope and b is the y-intercept. We will have to solve for b if we want to use this form. Or we could use the point-slope form and not have to solve for b. Let's do that. But first things first. The slope:
Between the first 2 coordinates (3, -2) and (5, -26):
[tex]m=\frac{-26-(-2)}{5-3}=\frac{-24}{2}=-12[/tex]
Between coordinates 2 and 3 which are (5, -26) and (7, -50):
[tex]m=\frac{-50-(-26)}{7-5} =\frac{-24}{2}=-12[/tex]
The slopes are the same, so this in fact a linear function with m = -12. But that's all we have, so let's use the point-slope form of a line to write the equation:
[tex]y-y_1=m(x-x_1)[/tex] where [tex]x_1[/tex] and [tex]y_1[/tex] are coordinates found in the table. Plugging in the first coordinate along with the slope of -12:
[tex]y-(-2)=-12(x-3)[/tex] and
y + 2 = -12x + 36 and
y = -12x + 36 - 2 so the equation for the line in slope-intercept form is
y = -12x + 34
Regardless of which coordinate point you choose as your x1 and y1, I promise you that you will still get the same equation for the line!
Answer:
hi its -12 and decreasing.
Graph y ≤ (x + 2)^2.
Answer:
Step-by-step explanation:
If the mean of m, n, s, P and q is 12.
Calauate the mean of (m + 4), (n-3),(s+6)
(p-2) and (q+8).
Answer:
Step-by-step explanation:
We have,
Mean = Σx/n
or 12= (m+n+s+p+q)/5
or, m+n+s+p+q = 60 ...........(i)
Again,
New Mean = (m+4+n-3+s+6+p-2+q+8)/5 [∵ n = 5]
or, New Mean = {(m+n+s+p+q)+13}/5
or, New Mean = (60+13)/5 = 73/5 [from eq (i)]
∴ New Mean = 14.6 Ans.
Write
83
50
as a decimal.
Answer:
0.83,0.50
Step-by-step explanation:
Since there are 2 digits in 83, the very last digit is the "100th" decimal place.
So we can just say that .83 is the same as 83/100.
So your final answer is: .83 can be written as the fraction
Step-by-step explanation:
To get 83/50 as a decimal just divide and you'll get 1.66 as your answer
2. Simplify 14 to the 15th power over 14 to the 5th power . 1) 13 2) 110 3) 143 4) 1410
Answer:
[tex]14^{14}[/tex] or 11112006825558016
Step-by-step explanation:
[tex]\frac{14^{15}}{14}[/tex] is the same thing as [tex]\frac{14^{15}}{14^{1}}[/tex].
When we divide 2 exponents together, we subtract:
15 - 1 = 14
[tex]14^{14}[/tex] or 11112006825558016 is your answer.
A man walks due west for 4km. He then changes direction and walks on a bearing of 197°. Until he is south west of his starting point. How far is he then from his starting point
The distance between the man and the starting point will be 13.08 km.
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angles of right-angle triangles.
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
Given that a man walks due west for 4km. He then changes direction and walks on a bearing of 197°.
The distance will be calculated as,
tanΘ = P/B
tan(73) = y / 4
y = 4tan73
y = 13.08 km
Therefore, the distance between the man and the starting point will be 13.08 km.
To know more about trigonometric identities follow
https://brainly.com/question/23585318
#SPJ5
Complete the square to rewrite y = x ^ 2 + 6x + 5 in vertex form. Then state whether the vertex is a maximum or a minimum and give its coordinates.
Answer:
y = (x + 3)² - 4
The vertex is a minimum at (-3, -4)
Step-by-step explanation:
Step 1: Isolate xs
y - 5 = x² + 6x
Step 2: Complete the square
y - 5 + 9 = x² + 6x + 9
y + 4 = (x + 3)²
Step 3: Convert to vertex form
y = (x + 3)² - 4
To find your vertex, (h, k) is your vertex, so (-3, -4). To see whether or not it is a max or a min, check a to see if it is positive or negative. Since a is positive, it is a minimum.
What is the value of n in the equation ?1/2 (n-4)-3=3-(2n+3)
N=0
N=2
N=4
N=6
Answer:
n = 2
Step-by-step explanation:
1/2(n-4) - 3=3- (2n+3)
Expand the brackets.
1/2n-2-3=3-2n-3
Add or subtract the like terms.
1/2n-5=-2n
Add 2n and 5 on both sides.
1/2n+2n=5
Add like terms.
5/2n = 5
Multiply both sides by 2/5.
n = 5 × 2/5
n = 10/5
n = 2
Answer:
N=2
Step-by-step explanation:
Can someone please help
Answer:
ΔMNP ~ ΔWXY
Step-by-step explanation:
When a triangle is dilated, the orientation stays the same. This means that the triangles are named in the same order because their corresponding angles are congruent.
∠M ≅ ∠W
∠N ≅ ∠X
∠P ≅ ∠Y
I hope this helps :))
solve 0.06*0.7+0.03=0.06*(-0.2)+0.03
Which statement is true regaurding the functions on the graph? A. f(6)= g(3) B. f(3) = g(3) C. f(3) = g(6) D. f(6) = g(6)
Answer:
f(3) =g(3)
Step-by-step explanation:
We want where the two functions are equal
f(x) = g(x) when f(3) =g(3)
Their y values are the same at that point
Answer:
B. f(3)=g(3)
Step-by-step explanation:
HELP I'M BEING TIMED A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? A) The test contains 4 three-point questions and 20 five-point questions. B) The test contains 10 three-point questions and 14 five-point questions. C) The test contains 14 three-point questions and 10 five-point questions. D) The test contains 20 three-point questions and 8 five-point questions.
Answer:
b)
Step-by-step explanation:
the easy way of doing this in my opinion is just to multiply the options by their corresponding values so in this case 3x10=30 and 5x14=70 then add those together and it equals 100 points with a total of 24 questions
1 If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is the density of people in the pool?
1.3 people per square foot.
2.5 people per square foot.
06 people per square foot.
.17 people per square foot.
Answer:
0.17 people / sq ft
Step-by-step explanation:
1 If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is the density of people in the pool?
1.3 people per square foot.
2.5 people per square foot.
06 people per square foot.
.17 people per square foot.
Density of people in pool is number of people per square foot.
area = length * width = 15 ft * 8 ft = 120 ft^2
density = people/sq ft = 20 people / 120 sq ft = 0.17 people / sq ft
Answer:
0.17 people / sq ft
Step-by-step explanation:
OKAY HELP so Raegan has a rectangular breadspread that is 238 cm by 435 cm. She wants to sew a fringe around the bread spread. what is the perimiter of the bed spread??? figured that out its 1346 but then it says raegan gets a new breadspread that is 27 cm longer. whats the perimiter now?
Answer:
The new perimeter is 1400 cm
Step-by-step explanation:
The perimeter of the bedspread is the perimeter of a rectangle, whose formula is:
Perimeter = 2 * width + 2 * length
Then the perimeter of the initial bed spread is:
Perimeter = 2 * (238 cm) + 2 * (435 cm) = 1346 cm
as you calculated.
Now, she gets a new bedspread that is 27 cm longer. So the new dimensions are 238 cm width, and (435 + 27) cm length, then the perimeter becomes:
Perimeter = 2 * (238 cm) + 2 * (462cm) = 1400 cm
Combine the following expressions.
Answer:
second option
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{27x^{3} }[/tex]
= [tex]\sqrt{9(3)x^2.x}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{x^2}[/tex] × [tex]\sqrt{x}[/tex]
= 3 × [tex]\sqrt{3}[/tex] × x × [tex]\sqrt{x}[/tex]
= 3x[tex]\sqrt{3x}[/tex]
-------------------------------
[tex]\sqrt{12x^{3} }[/tex]
= [tex]\sqrt{4(3)x^2.x}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{x^2}[/tex] × [tex]\sqrt{x}[/tex]
= 2 × [tex]\sqrt{3}[/tex] × x × [tex]\sqrt{x}[/tex]
= 2x[tex]\sqrt{3x}[/tex]
---------------------------------------
Thus
3 × 3x[tex]\sqrt{3x}[/tex] - 2 × 2x[tex]\sqrt{3x}[/tex]
= 9x[tex]\sqrt{3x}[/tex] - 4x[tex]\sqrt{3x}[/tex]
= 5x[tex]\sqrt{3x}[/tex]
Decrease £248 by 30%
Answer:
173.6
Step-by-step explanation:
0.7(248)
173.6
Answer:
£ 173.6
Step-by-step explanation:
£248 *0.30= 74.4
£248 -74.4 =173.6
Alberto conducted an experiment by rolling a fair six-sided number cube 60 times. He rolled a 2 fifteen times. Which statement about rolling a 2 in Alberto's experiment is correct?
Answer:
Step-by-step explanation:
Experimental probability is the probability of what actually happens in the given experiment.
We know that a fair six-sided cube is rolled 60 times and the outcome 2 has occurred 15 times out of 60 times.
Therefore, the experiment probability in the given experiment is:
Experimental probability of rolling 2
[tex]\frac{15}{60}=\frac{1}{4}[/tex]
Now, the theoretical probability is the probability of what is expected from the random experiment. We know that a cube has 6 sides and the theoretical probability of getting 2 is given below:
Theoretical probability of rolling a 2
[tex]\frac{1}{6}[/tex]
Therefore, the answer is:
The experimental probability of rolling a 2 is [tex]\frac{1}{4}[/tex] and the theoretical probability of rolling a 2 is [tex]\frac{1}{6}[/tex].
Answer:
The experimental probability of rolling a 2 is 1/4 and the theoretical probability of rolling a 2 is 1/6.
Step-by-step explanation:
which of the binomials below is a factor of this trinomial? -3x^2-21x+24 x-4 x+1 x+4 x-1
Answer:
-3x^2-21x+24
Step-by-step explanation:
Kindly separate the answer choices: (x - 4), (x + 1), (x + 4) , (x - 1). The trinomial is thus -3x^2-21x+24, which can be factored as follows: -3(x^2 + 7x - 8)
Then we have -3x^2-21x+24 = -3(x^2 + 7x - 8), which factors further into:
-3(x + 8)(x -1) and so we conclude that the only binomial that is a factor of
-3x^2-21x+24 is (x - 1).
Find the sum of 0.312, 0.14 and
0.7 (a) 0.152 (b) 0.158 (C)
Answer:
i'm sorry but the answer is 1.152
Answer:
[tex]1.152[/tex]
Step-by-step explanation:
[tex] \: \: \: \: \: 0.312 \\ + 0.14 \\ + 0.7 \\ =1.1 52[/tex]
hope this helps you.
What is the numerical solution to the equation five less than three times a number equals four more than eight times the numbers?
A. -9/5
B. 1/11
C. -1/5
D. 1/5
Answer:
Option A
Step-by-step explanation:
Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;
[tex]3x - 5 = 4 + 8x[/tex]
where x = " the number "
[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]
If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.
pleaseeeeeees help mee
Answer:
True
Step-by-step explanation:
order of letter matter. R and T first and last letters of triangle. H and F also first and last. so can say those sides are proportional.
Richard, Angad and Paul share £108 in a ratio 2:3:1. How much money does each person get?
Answer:
Step-by-step explanation:
If R, A, and P all share 108 pounds in the ratio of 2 to 3 to 1, then
2x + 3x + 1x = 108 and
6x = 108 so
x = 18.
R holds the ratio of 2x, so he gets 2(18) which is 36;
A holds the ratio of 3x, so he gets 3(18) which is 54;
P holds the ratio of 1x, so he gets 1(18) which is 18.
36 + 54 + 18 better equal 108...and it does!
Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 823, makes the most sense
Answer:
He's wrong, he should have divided both sides by 3
b≤8.66666
Step-by-step explanation:
Answer:
Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 8 2/3, makes the most sense?
Step-by-step explanation:
How is the graph of y = negative RootIndex 3 StartRoot x minus 4 EndRoot transformed to produce the graph of y = negative RootIndex 3 StartRoot 2 x minus 4 EndRoot?
Answer:
Multiply by ∛2 and translate the graph to left by 4 units.
Step-by-step explanation:
The initial function given is:
y = -∛(x - 4)
The transformed function is:
y = -∛(2x - 4)
Consider the initial function.
y = -∛(x - 4)
(Represented by Black line in the graph)
Multiply the function by ∛2. The function becomes:
y = -∛(x - 4) × ∛2
y = -∛(2)(x-4)
y = -∛(2x-8)
(Represented by Red line in the graph represents this function)
Translate the graph 4 units to the left by adding 4 to the x component:
y = -∛(2x-8+4)
y= -∛(2x - 4)
(Represented by Blue line in the graph)
Answer:
c on ed
Step-by-step explanation:
i j did it
у = 3х +8
What is the x-intercept?
Answer:
-8/3
Step-by-step explanation:
To solve for x-intercept, we set y as 0.
0 = 3x + 8
-8 = 3x
-8/3 = x
The x-intercept of the line is -8/3.
Answer:
Brainliest!!!
Step-by-step explanation:
Here are Xavier's bowling scores:
135, 140, 130, 190, 112, 200, 185, 172, 163, 151,
149
What is the variance rounded to the nearest tenth?
Answer:
The variance rounded to the nearest tenth is 691.8
Step-by-step explanation:
Xavier's bowling scores:
135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149
No. of observations n = 11
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{135+140+130+190+112+200+185+172+ 163+ 151+149}{11}\\Mean =157[/tex]
Formula of variance : [tex]\sigma^2=\frac{\sum(x_i-\bar{x})^2}{n}[/tex]
[tex]\sigma^2=\frac{(135-157)^2+(140-157)^2+(130-157)^2+(190-157)^2+(112-157)^2+(200-157)^2+(185-157)^2+(172-157)^2+(163-157)^2+(151-157)^2+(149-157)^2}{11}[/tex]
[tex]\sigma^2=\frac{7610}{11}[/tex]
[tex]\sigma^2=691.81[/tex]
Hence the variance rounded to the nearest tenth is 691.8
Which multiplication expression is equivalent to this?
Answer:
x+8/x^2 * 2x^2/2x+16
Step-by-step explanation:
what is the gradient of the blue line Attachment below!!!!!!!!!!!
Answer:
-3 Or 3 it could be any one of them
Step-by-step explanation:
-3 or 3
Rise/run so an
Help please! This is a Calculus AB question!
Answer:
½ ln 3
Step-by-step explanation:
∫ sec²x / tan x dx
If u = tan x, then du = sec²x dx.
∫ du / u
ln|u| + C
ln|tan x| + C
Evaluate between π/4 and π/3.
ln|tan(π/3)| + C − (ln|tan(π/4)| + C)
ln|√3| + C − ln|1| − C
ln(√3)
½ ln 3
