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.
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]
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
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:
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
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
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
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]
Calculate the square of -3.74
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
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
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
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
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
k= 2, k= -4
Step-by-step explanation:
you can use symbolab
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
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
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
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 ____________________________
n x n² da como resultado=
Answer:
n=0
Step-by-step explanation:
is 0 because always the number is 0 in this case
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).
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:
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 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
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]
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
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
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