Answer:
the number can be either 8 or 3.
Step-by-step explanation:
Let's define N as the "number"
We know that when the square of this number is increased by 24:
N^2 + 24
we got eleven times the original number, then:
N^2 + 24 = 11*N
We just need to solve this for N
To do it, we first move all the terms to one side of the equation:
N^2 - 11*N + 24 = 0
Now we can use the Bhaskara's formula for the zeros of a quadratic equation:
for a general quadratic equation:
a*x^2 + b*x + c = 0
the roots or zeros are given by:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
We get then:
[tex]N = \frac{-(-11) \pm \sqrt{(-11)^2 - 4*1*24} }{2*1} = \frac{11 \pm 5}{2}[/tex]
So we have two solutions:
N = (11 + 5)/2 = 16/2 = 8
N = (11 - 5)/2 = 6/2 = 3
So the number can be either 8 or 3.
The solution is incorrect. HIGHLIGHT the step that does not follow logically from the previous step. Explain why it is incorrect.
Box- and- whisker plot!!! A,B,C, or D?? NO PINKS PLEASE!
Answer:
10.
Step-by-step explanation:
It's the right end of the box.
WORTH 40 POINTS!!!!!!!! I WILL MAKE U BRAINLIEST!!!! PLEASE ANSWER ALL QS
You cannot force me to answer these questions.
bestie that is worth more than 15 pts
Find the circumference of a circle with an area of 16mm
Answer:
14.176 mm
Step-by-step explanation:
16=[tex]\pi[/tex][tex]r^{2}[/tex]
r=2.25733052
C=2[tex]\pi[/tex]r
C= 14.176mm
List the first three terms of this sequence: an = 3 • 5n – 1
Answer:
1st term = 14
2nd term = 29
3rd term = 44
Step-by-step explanation:
1st term = 3 x (5x 1) - 1
= 3 x 5 - 1
= 15 - 1 = 14
2nd term = 3 x ( 5 x 2 ) - 1
= 3 x 10 - 1
=30 - 1 = 29
3rd term = 3 x (5 x 3 ) - 1
= 3 x 15 - 1
= 45 - 1 = 44
Math challenging and now math challenging me to challenge math
Answer:
$30
Step-by-step explanation:
Total amount paid by the hire purchase scheme:
$60 + 6 * $45 = $60 + $270 = $330
Total amount paid in just the cash price:
$300
Difference:
$330 - $300 = $30
1.25 x 0.75 = ?
I need this now please!
Answer:
0.9375
Step-by-step explanation:
I know!
Answer:
1.25 x .75 = 0.9375
Step-by-step explanation:
Solve X for the nearest tenth.
Answer:
[tex] \blue{x = 11.4} [/tex]
Step-by-step explanation:
See the figure.
The right triangles has legs of lengths 9 and 7.
[tex] 9^2 + 7^2 = x^2 [/tex]
[tex] x^2 = 130 [/tex]
[tex] x = \sqrt{130} [/tex]
[tex] \blue{x = 11.4} [/tex]
use the zero property to determine the solutions for (2x + 6)(x - 7) = 0.
Need help asap please
Answer:
x = -3
x = 7
Step-by-step explanation:
If either term is zero the product is zero
(2x + 6)(x - 7) = 0
2x + 6 = 0
2x = -6
x = -3
x - 7 = 0
x = 7
What is answer please
Answer:
during the first 3mins the bus was accelerating from 0km to 25 kilometers
during the next 90 mins btwn 30mins to 120 mins it was moving at a constant distance n speed
lastly for the last 60 mins from 120 mins to 180 mins it started decelerating from a distance of 25km to 0 km
Find m∠1 and m∠2. Tell which theorem can be used.
Answer:
angle 1=117 because it have vertical angles of congruence theorem
angle 2= 117 because it has the alternate exterior angle theorem
hope this helps
have a good day :)
Step-by-step explanation:
vertical angles have the same length
alternate exterior angles would have the same angle measure because they are on opposite side of the angles
if f(x) = -4x+3 and g(x) = 3 +2x-4 find (f+g) (x)
Answer:
Please be careful with your typing [f(x)=-sqrt(x)+6 ... right? g(x)=-4*sqrt(x)-3 ... or -4*sqrt(x)+3 ... one or the other, right?
If so, you are dilating by a factor of 4, -1 versus -4 as multiplier of sqrt(x); and, translating up 3 units (6 versus 3) or 9 units (6 versus -3).
Step-by-step explanation:
Answer:
-2x+2
Step-by-step explanation:
f(x) = -4x+3 and g(x) = 3 +2x-4
Note what you put for g(x) simplifies to 2x-1
(f+g) (x) = -4x+3+ 3 +2x-4
Combine like terms
= -2x+2
Store a sells fabric for 3.00 per yard Store b sells packages of fabric for 3.00 The cost of fabric at either can be modeled by the function c(t)=3t where t is the number of yards of fabric at store a and t is the number of packages of fabric at store b The domain of c(t)=3t is all real numbers
Answer:
[tex]0 \le t < \infty[/tex]
Step-by-step explanation:
Given
[tex]c(t) = 3t[/tex]
Required
The domain
From the question, we understand that t represents number of yards/packages (depending on the store)
This means that:
[tex]t \ge 0[/tex] ---- the start value
[tex]t < \infty[/tex] --- the end value
Rewrite [tex]t \ge 0[/tex] as [tex]0 \le t[/tex]
So, we have: [tex]0 \le t[/tex] and [tex]t < \infty[/tex]
Hence, the domain is: [tex]0 \le t < \infty[/tex]
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
k= 2, k= -4
Step-by-step explanation:
you can use symbolab
16. If triangle ABC is isosceles, and if AB = BC and
Answer:
C. 39
Step-by-step explanation:
If AB = BC, and angle A is 39 degrees. we can assume that angle C would have a similar angle.
Since in △ABC , AB=BC
∴ the triangle is isoceles.
In an isoceles triangle the angles opposite to equal sides are equal.
∴∠A=∠C
This means that C.39 is the correct answer
Answer:
39, C
Step-by-step explanation:
If angle A = 39, then the angle C is equal to A. This may seem like a weird question, but it’s the way that the triangle is positioned.
Also, you can prove this by looking at the equation provided in the prompt.
B is the vertex that they are creating this problem from, therefore, it may be helpful to turn the triangle around!
What is the slope of the line through the points A(-3, 4) and B(2, -1)
A -1
B 1
C -3
D -1/3
Calculate the square of -3.74
Solve the equation in the interval [0, 2π]
2 + Tanθ = 1
Answer:
{3π/4 , 7π/4}
Step-by-step explanation:
2 + Tanθ = 1
tan θ = 1 -2
Tanθ = -1
θ = 3π/4 and 7π/4
PLZ HELP I GIVE BRAINLIST!!
Answer:
5
Step-by-step explanation:
X + 2y = 13
Since x = 3
3 + 2y = 13
2y = 13 - 3
2y = 10
Divide both sides by 2
Y = 5
help meeee
6x-3=3x+12
Answer:
x = 5
Step-by-step explanation:
Simplifying
6x + -3 = 3x + 12
Reorder the terms:
-3 + 6x = 3x + 12
Reorder the terms:
-3 + 6x = 12 + 3x
Solving
-3 + 6x = 12 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3 + 6x + -3x = 12 + 3x + -3x
Combine like terms: 6x + -3x = 3x
-3 + 3x = 12 + 3x + -3x
Combine like terms: 3x + -3x = 0
-3 + 3x = 12 + 0
-3 + 3x = 12
Add '3' to each side of the equation.
-3 + 3 + 3x = 12 + 3
Combine like terms: -3 + 3 = 0
0 + 3x = 12 + 3
3x = 12 + 3
Combine like terms: 12 + 3 = 15
3x = 15
Divide each side by '3'.
x = 5
Solve the logarithmic equation . Round the answer to four decimal places . 2^x =25
Answer:
x = 4.6439
Step-by-step explanation:
2^x =25
Take the log of each side
log 2^x = log 25
We know that log a^b = b log a
x log 2 = log 25
Divide each side by log 2
x = log 25 / log 2
x =4.643856
Rounding to 4 decimal places
x = 4.6439
Answer:
x = 4.6439
Step-by-step explanation:
[tex]2^{x} =25log 2^x = log 25\\log 2 = log 25x = log 25 / log 2\\x =4.643856\\x = 4.6439[/tex]
Ac=14 bc=11 what is the radius
Answer:
Radius = √75 or 5√3 or 8.7
Step-by-step explanation:
This forms a right triangle meaning you can use Pythagorean Theorem to solve for the missing side which, in this case, will equal the radius.
Let a = radius
a² + b² = c²
a² + 11² = 14²
a² + 121 = 196
a² = 75
a = √75 = 5√3 ≈ 8.7
Answer:
radius = ab = √75
Step-by-step explanation:
Triangle ABC is a right triangle so to find the radius, aka one of the sides of the triangle, we need to use the Pythagorean theorem.
ac^2 = bc^2 + ab^2 Pythagoras Theorem
14^2 = 11^2 + ab^2 Substitution
196 = 121 + ab^2 Alg
75 = ab^2 Alg
ab = √75 Alg = radius
please help if u know the answers quarter ends in two days !!!
Answer:
5A) radius = 9 ft
5B) diameter = 18 ft
5C) fencing length = 56.52 ft
5D) 6.35 days
Step-by-step explanation:
Radius is given when it is 9 ft of rope (outside to center of circle)
Diameter is two times radius = 18.
Circumference(fence length) = 2 * 3.14 * 9 = 56.52.
Area circle = 3.14*(9*9) = 254.34. 254.34/40 = 6.35
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Let's Check In
Which symbol makes the following TRUE?
5- 10
6-4(3)
A.
VA
B
=
C.
D. none of the above
Answer:
what ____________________________
Find the SUm of the infinite series.
I'll do problem 13 to get you started.
The expression [tex]4\left(\frac{2^n}{7^n}\right)[/tex] is the same as [tex]4\left(\frac{2}{7}\right)^n[/tex]
Then we can do a bit of algebra like so to change that n into n-1
[tex]4\left(\frac{2}{7}\right)^n\\\\4\left(\frac{2}{7}\right)^n*1\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{0}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1-1}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1}*\left(\frac{2}{7}\right)^{-1}\\\\4*\left(\frac{2}{7}\right)^{1}\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{-1}\\\\\frac{8}{7}\left(\frac{2}{7}\right)^{n-1}\\\\[/tex]
This is so we can get the expression in a(r)^(n-1) form
a = 8/7 is the first term of the geometric sequencer = 2/7 is the common ratioNote that -1 < 2/7 < 1, which satisfies the condition that -1 < r < 1. This means the infinite sum converges to some single finite value (rather than diverge to positive or negative infinity).
We'll plug those a and r values into the infinite geometric sum formula below
S = a/(1-r)
S = (8/7)/(1 - 2/7)
S = (8/7)/(5/7)
S = (8/7)*(7/5)
S = 8/5
S = 1.6
------------------------
Answer in fraction form = 8/5
Answer in decimal form = 1.6
What is the position of C on the number line below write your answer as a fraction or mixed number
Answer:
Step-by-step explanation:
PLEASE HELP! The image is below
9514 1404 393
Answer:
(3)(1)0x -1y = -9Step-by-step explanation:
The general approach here is to choose a variable you want to eliminate, identify the coefficients of it, and use those to multiply the equations so adding the products will eliminate the variable.
Here, the coefficients of x are -1 and -3; the coefficients of y are 2 and 5. We often like to choose the set of coefficients that includes 1 or where the coefficients are related by an integer factor. These criteria suggest that we should use the coefficients -1 and -3. One of our multipliers must be the opposite of one of these coefficients. So, we choose for them to be -3 and +1.
That is, multiplying the first equation by -3 will make the x-coefficient be 3; multiplying the second equation by 1 will make the x-coefficient be -3. Adding these equations will then eliminate x terms.
(-3)(-x +2y = 12)
+ (1)(-3x +5y =27)
gives (3x -6y) +(-3x +5y) = -36 +27
which simplifies to the sum ...
0x -1y = -9
__
Dividing by the coefficient of y, we find y = 9. Substituting into the first equation, we have ...
-x +2(9) = 12)
x = 18-12 = 6
The solution is (x, y) = (6, 9).
HELP ASAP I am STUCK!
Answer: a. 5+7x=y b.5+(7•6)= 47
Step-by-step explanation:
Answer:
Step-by-step explanation:
A. i would do 7(2) 7 inches in 1 year aka 7 times 2 which 14 inches in 2 years
B. 12 inches is a foot keep that in mind. they want to know how many feet would it be in 6 years. so 7 inches times 6years is 42inches. so 42 inches divided by 12 cause there is 12 inches in a foot is 3.5 so three and a half feet in 6 years
-lots of love,
makayla<3
n x n² da como resultado=
Answer:
n=0
Step-by-step explanation:
is 0 because always the number is 0 in this case
If y varies directly with x and y=95 when x=5, find x when y=38.
Answer:
X is 2
Step-by-step explanation:
the equation is Y = 19X
when X=5, Y=95
when Y=38, X = 38/19 = 2