Answer:
x = - 7, x = 2
Step-by-step explanation:
Given
x² + 5x - 14 = 0
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2, since
7 × - 2 = - 14 and 7 - 2 = + 5 , thus
(x + 7)x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
Write 50/6 as a mixed number. Give your answer in its simplest form.
Answer:
8 1/3
Step-by-step explanation:
Step 1: Simplify
50/6 = 8 2/6
Step 2: Simplify fraction
2/6 = 1/3
Step 3: Add it up
8 1/3
Answer:
[tex]8 \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]50/6\\25/3\\25 \div 3\\= 8- remainder-1\\= 8 \frac{1}{3}[/tex]
50. Write the fraction or mixed number as a
decimal. Then tell whether the decimal is a
terminating decimal or repeating decimal.
23
33
Answer:
0.69, repeatingStep-by-step explanation:
23/33 =0.69repeating
7y - 12 / 5 minus y - 2/3 is equal to 1
Answer:
y = 61/90
Step-by-step explanation:
7y - 12/5 - y - 2/3 = 1
Combine like terms.
6y -46/15 = 1
Add 46/15 to both sides.
6y = 61/15
Divide both sides by 6.
y = 61/90
A box contains 6 blue balls, 4 black balls and 5 red balls at the same size . A ball is selected at random from the box and then replaced . A second ball is then selected. Find the probability of obtaining ; (i) two red balls ; (ii) two blue balls or two black balls ; (iii) one black ball and one red balls.
Answer:
(i) 1/21
(ii) 1/10
(iii) Take a look at the explanation: Try this one yourself. I have given you some hints.
Step-by-step explanation:
(i) Two red balls:
To do this, we need to find the total amount of possible choices first. To do this, we multiply 15 by 14. This is our denominator:
15(14) = 210
Now, we need to find the total combinations of red balls. We solve 5 choose 2 for this one.
5 choose 2 = 5(4)/2! = 10
Our numerator is 10. Therefore, our probability is 10/210 = 1/21.
(ii) Two blue balls or two black balls:
To do this, we need to add the probabilities of getting a blue ball with a black ball. (Since there is an "or" sitting there. If there is an "and", we multiply)
So, let's calculate the probability of getting a blue ball first:
Blue:
We use the same denominator as before: 210.
Our numerator is now 6 choose 2, which is:
6 choose 2 = 6(5)/2! = 15.
Now, our fraction is 15/210, BUT, dont simplify, as we will need to add.
Black:
Same steps: denominator is 210, but the numerator is 4 choose 2.
Solving 4 choose 2:
4 choose 2 = 4(3)/2! = 6.
Our numberator is 6.
But, we cant forget to add them!
(15 + 6)/210 is 21/210, which is 1/10.
(iii) I'll let you try this one by yourself. Here is a hint:
Solve for the probability of chooseing a black ball and a red ball. Then, multiply.
Enjoy the process, and I hoped this helped you! (If you have any questions, feel free to ask)
Two bicycles are driving on the circle in the same direction with speeds of 9 mph and 5 mph respectively. How many points are there on the circle where the two bicycles meet.
Given that,
Speed of first bicycle = 9 mph
Speed of second bicycle = 5 mph
Suppose the length of the circle 24 miles.
We need to find the relative velocity
Using formula of relative velocity
[tex]v=v_{1}-v_{2}[/tex]
Put the value into the formula
[tex]v=9-5[/tex]
[tex]v=4\ mph[/tex]
We need to calculate the time
Using formula of time
[tex]t=\dfrac{d}{v}[/tex]
[tex]t=\dfrac{24}{4}[/tex]
[tex]t=6\ hr[/tex]
We need to calculate the distance of the points where the two bicycles meet
Using formula of distance
For first bicycles,
[tex]d=9\times6[/tex]
[tex]d=54\ miles[/tex]
For second bicycles,
[tex]d'=5\times6[/tex]
[tex]d'=30\ miles[/tex]
Hence, The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.
g(n)=80×(3/4)^n
complete the recursive formula of g(n)
g(1)=
g(n)= g(n-1) ×
Answer:
Step-by-step explanation:
Hello,
[tex]g(n)=80*(\dfrac{3}{4})^n \ So\\g(1)=80*\dfrac{3}{4}=20*3=60 \\\\ and \\\\\dfrac{g(n)}{g(n-1)}=\dfrac{80*(\dfrac{3}{4})^n}{80*(\dfrac{3}{4})^{n-1}}=\dfrac{3}{4} \ so \\\\g(n)=g(n-1)*\dfrac{3}{4}[/tex]
do not hesitate if you have any question
I NEED HELP ASAP PLEASE!
Answer:
The length of AC = 4 and the length of A'C' = 1 so the scale factor is 1/4.
rectangle ABCD and DEFG are similar. if AB is 6, DE is 15, DG is 21, what is the length of AD, rounded to the nearest tenth?
Answer:
Length of AD is 8.4 units.
Step-by-step explanation:
Given that:
There are two similar rectangles ABCD and DEFG.
AB = 6 units
DE = 15 units
DG = 21 units
To find:
AD = ?
Solution:
Please refer to the attached image for having a look at the two given rectangles.
First of all, let us learn about the similar rectangles.
If two rectangles are similar, then the ratio of their corresponding sides are always equal.
i.e.
[tex]\dfrac{AB}{AD} = \dfrac{DE}{DG}[/tex]
Putting values of AB, DE and DG to find out AD:
[tex]\dfrac{6}{AD} = \dfrac{15}{21}\\\Rightarrow \dfrac{6}{AD} = \dfrac{5}{7}\\\Rightarrow \dfrac{1}{AD} = \dfrac{5}{7\times 6}\\\Rightarrow \dfrac{1}{AD} = \dfrac{5}{42}\\\Rightarrow AD = \dfrac{42}{5}\\\Rightarrow AD = 8.4\ units[/tex]
So, value of AD is 8.4 units.
Aubreys kitchen countertop is 2/3 meter by 3 4/5 meters she solves 2/3 multiply 3 4/5 to find the area of the countertop in square meters. Enter numers to conplete aubreys calculations for the area
Answer:
[tex]2\frac{8}{15}[/tex] or 2.5333
Step-by-step explanation:
Just multiply the numbers. please mark brainliest
what is math in your visionary state what do you think of when reminded of math I am specifacly asking you
Answer:
answer is.
9382
working
Simple and easy question
please help
Answer:
A
Step-by-step explanation:
To find the volume we do 2 * 1.25 * 1.5 (i rewrote the fractions as decimals) which is 3.75 or 3 and 3/4 cubic inches.
Answer:
V = [tex]3 \frac{3}{4}[/tex]
Step-by-step explanation:
Hey there!
Well the volume "v" of a rectangular prism is,
V = l•w•h
Fill in
[tex]V = 2* 1 \frac{1}{4} * 1 \frac{1}{2}[/tex]
V = [tex]3 \frac{3}{4}[/tex]
Hope this helps :)
The length of a rectangle is twice it’s breadth. if the perimeter is 72 meters, find the length and breadth of the rectangle
Perimeter of a rectangle = 2l + 2b
where
l = length
b = breadth
The length is twice it's breadth which is written as
l = 2b
Perimeter = 2(2b) + 2b
72 = 4b + 2b
72= 6b
Divide both sides by 6
b = 12 meters
Since l = 2b
l = 2(12) = 24 meters
The length of the rectangle is 24 meters and it's breadth is 12 meters
Hope this helps
Answer:
If breadth of a rectangle is 19m and perimeter is 80m, find the length of the rectangle.
Step-by-step explanation:
the mean of five numbers is 8. when another number is added the mean is 7. find the number added
Answer:
[tex]\large \boxed{\sf \ \ 2 \ \ }[/tex]
Step-by-step explanation:
Hello,
The mean of five numbers is 8 so we can write
[tex]\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8[/tex]
When another number is added the mean is 7, let s note x the another number we can write
[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7[/tex]
From the first equation we can say
[tex]x_1+x_2+x_3+x_4+x_5=8*5=40[/tex]
So the second equation becomes
[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\<=> \dfrac{40+x}{6}=7\\\\<=>40 + x = 6*7=42\\\\<=> x = 42-40 = 2\\[/tex]
The solution is then 2
Hope this helps
Kadence is twice as likely to randomly pick a blue marble from a bag as she is to pick a red marble. If there are x red marbles and the bag contains
40 marbles, what is the probability that Kadence will pick a blue marble from the bag?
A. 16/40
B. x/10
C. x/20
D. x/40
D
Step-by-step explanation:
Probabilities are used to determine the chances of picking a marble
The probability of picking a blue marble is: x/20
The given parameters are:
[tex]\mathbf{Marbles = 40}[/tex]
[tex]\mathbf{Red = x}[/tex]
The probability of picking a red marble is calculated as:
[tex]\mathbf{Pr = \frac{Red}{Marbles}}[/tex]
Substitute values for Red and Marbles
[tex]\mathbf{Pr = \frac{x}{40}}[/tex]
He is twice as likely to randomly pick a blue marble from a bag as she is to pick a red marble
So, the probability of picking a blue marble is:
[tex]\mathbf{P(Blue) = 2 \times \frac x{40}}[/tex]
This gives
[tex]\mathbf{P(Blue) = \frac x{20}}[/tex]
Hence, the probability of picking a blue marble is: x/20
Read more about probabilities at:
https://brainly.com/question/11234923
Jenny has a $3,000 balance on her credit card with an 18% interest rate. If she makes no payments on her card and no late fees were charged how long will it take her debt to double?
Answer:
it would take about 4.2 years for her debt to double.
Step-by-step explanation:
With a principal of $3000, and an annual interest rate of 18%, the equation for accumulated debt as a function of time in years, would be given by the expression:
[tex]A(t)=3000\,(1+0.18)^t[/tex]
now, if we want to find when the debt would double, we replace A(t) with $6000, and solve for the time 't' using logarithms to bring down the unknown (t) that resides in the exponent:
[tex]A(t)=3000\,(1+0.18)^t\\6000=3000\,(1.18)^t\\2=(1.18)^t\\log(2)=t\, \, log(1.18)\\t=\frac{log(2)}{log(1.18)} \\t=4.1878\,\,years[/tex]
which we can round to approximately 4.2 years
[tex]7x^{2} -3=60[/tex]
Answer:
x = -3 , x = 3Step-by-step explanation:
7x² - 3 = 60
7x² - 3 - 60 = 0
7x² - 63 = 0
Simplify the terms
Divide both terms by 7
That's
x² - 9 = 0
Solve the quadratic equation
Use difference of two squares
That's
a² - b² = ( a + b)(a - b)
x² - 9 = 0
(x + 3)(x - 3) = 0
x + 3 = 0 x - 3 = 0
x = - 3 x = 3
Hope this helps you
Hi can you help me with this please
Answer:
x=13 degrees
Step-by-step explanation:
Supplementary angles: 180 degrees.
180-98=82
Vertical angles: congruent
Corresponding angles: congruent
We have 2 angles of the triangle, so we can find the third. (Angles in a triangle add to 180 degrees)
x=13
the probabilities of Abu , kuraku and musa passing their post jamb examination are 3/7 and 5/9 and 12/13 respectively . what is the probability that only one of them wiil pass. .......………………............... please help
Answer:
The probability that only one of them will pass is 272/819
Step-by-step explanation:
The probability that only one of them will pass is;
P(Abu pass, Kuraku and Musa failed) or P(Kuraku pass, Abu and Musa failed) or P(Musa passed and Abu and Kuraku failed)
Mathematically, the probability of an event occurring = (1- p(event not occurring))
What this means is that the probability of failing = 1 - probability of passing
So if P(A) = 3/7
P(A’) = 1-3/7 = 4/7
P(K) = 5/9, P(K’) = 1-5/9 = 4/9
P(M) = 12/13, P(M’) = 1-12/13 = 1/13
where A, K and M represents the names individually as their first letters and the ‘ represent the complement which is the probability of the events not happening
So the probability we want to calculate in notation form is;
P ={P(A) * P(K’) * P(M’)} + {P(A’) * P(K) * P(M’)} + {P(A’) * P(K’) * P(M)}
So substituting the values, we have;
P= {3/7 * 4/9 * 1/13} + {4/7 * 5/9 * 1/13} + {4/7 * 5/9 * 12/13} = 12/819 + 20/819 + 240/819 = 272/819
Part A: Joel uses the incorrect expression 0.95(190)(0.8) to calculate that the computer will cost him a total of $144.40. Describe his error and write the correct expression.
* Part B: How much will Joel pay for his tablet? Show your work on a separate piece of paper and upload the picture.
Complete question:
Joelwants to buy a new tablet computer from a store having a 20% off sale on all tablet. The tablet he wants has an original cost of $190. He also wants to make sure he has enough money to pay the 5% sales tax.
Answer:
$159.60
Step-by-step explanation:
Given the following :
Sales tax = 5%
Percentage discount = 20%
Original cost = $190
Joel's incorrect expression : 0.95(190)(0.8)
Joel's mistake is the 0.95 which is equivalent to 95% used in Calculating the total cost of the computer. The sales tax increases the total cost of the computer and instead of subtracting 5% sales tax, it should be added.
B.) 20% discount = 0.2 will be deducted from 100%(1)
1 - 0.2 = 0.8
5% sales tax = 0.05 will be added :
1 + 0.05 = 1.05
Original cost = $190
Therefore,
Total cost : Original cost * sales tax * discount
Total cost = $190 * 1.05 * 0.8
Total cost = $159.60
select the correct answer from the drop-down menu find the surface area of this triangular prism
Answer:
The correct answer is 96
Step-by-step explanation:
La longitud de un rectángulo mide 3m mas que el doble de su ancho del rectángulo, escribe un polinomio que represente el perímetro del rectángulo y simplifica el polígono correspondiente.
Answer:
Step-by-step explanation:
El ancho es x, el largo es x+3
El perímetro es dos veces el largo más dos veces el ancho, es decir: 2(x) + 2(x+3) = 4x+6
El polinomio sería: P(x)=4x+6
what is a triangular prism? Guy please answer this question it's me ?
Answer:
A prism is a polyhedron A prism is a 3-dimensional shape with two identical shapes facing each other. These identical shapes are called “bases”. The bases can be a triangle, square, rectangle or any other polygon.
Step-by-step explanation:
i hope this will help you
Answer:
A triangular prism is a prism whose bases are triangles and whose lateral faces are rectangles.It has 9 edges and 6 vertices.
please see the attached picture.
hope this helps..
Good luck on your assignment..
I NEED HELP PLEASE, THANKS! :)
Find the area of the triangle with a = 19, b = 14, c = 19. Round to the nearest tenth. (SHOW WORK)
Answer: 123.6 units²
Step-by-step explanation:
Since it is an isosceles triangle, we can draw a median from the ap ex (b) to the base (ac) to create a right triangle at point (d). Then we can use the Pythagorean Theorem to find the height (bd) of the triangle.
(dc)² + (b d)² = (bc)²
7² + (b d)² = 19²
(b d)² = 19² - 7²
(b d)² = 312
b d = 17.66
A = (1/2) base x height
= (1/2) ac x b d
= (1/2) 14 x (17.66)
= 7(17.66)
= 123.6
find the area of the blue sector. leave your answer in terms of pie please I need help NOW
Answer:
60
Step-by-step explanation:
Answer:
[tex]10\frac{2}{3}\pi[/tex]
Step-by-step explanation:
First find the area of the whole thing. It is 8^2π = 64π. Then the blue part is 60/360 = 1/6 of the area. This is 64/6π=32/3π=10.66π
Function (T/F) Please help.
Answer:
False
Step-by-step explanation:
it has more than one dot in the same row, which means it has the same number more than once in the x - axis.
Answer:
False
Step-by-step explanation:
You can check whether a graph represents a function by using the vertical line test.
Draw a vertical line on the graph, the vertical line intersects the graph at many points, therefore the graph does not represent a function.
Please answer this question now in two minutes
Answer:
u+43°=u_3°+u+3° (by exterior angle theorem)
u+43°= 2u
or, 2u_u=43°
or, u= 43°
is the value of u.....
What is the length of DE?? Thx :)
Answer:
10
Step-by-step explanation:
Your scale factor is 3/2, because when you compare AC and DF, the ration is 18/12, or 3/2. We can set up a proportion:
3/2=15/x
We cross multiplu
3x=30
x=10
So, the length of DE is 10 units.
Hope this helps!
A construction company covered 3\8 of a road which is 10km long with asphalt in the first week and covered 7\18of the road in the second week with asphalt. what length of the road remained to be covered with asphalt?
Answer:
2.36 km
Step-by-step explanation:
First they covered 3/8 of the road, so in figures that is;
= [tex]\frac{3}{8} * 10km[/tex]
=3.75 km
The second week they covered 7/18 of the road which is;
= [tex]\frac{7}{18} * 10km[/tex]
= 3.89 km
If we combine the two distances, we get;
= 3.75 km + 3.89 km
= 7.64 km
Subtract this from the total distance and you get
= 10 km - 7.64 km
= 2.36 km
Which means 2.36 km of the road is left to be covered with asphalt.
HELPPPP. SOMEONE HELP PLEASE
Answer:
a) Domain: All real numbers
b) Domain: -4<x<=4
a) Range: All real numbers greater than 2
b) Range: 0<=y<=4
Step-by-step explanation:
Domain is the possible x values
Range is the possible y values
Open circle means not included
Close circle means included
Answer: a) Domain: x = (-∞, ∞) b) Domain x = (-4, 4]
Range y = [2, ∞) Range y = [0, 4]
Step-by-step explanation:
Domain represents the x-values. Range represents the y-values.
a) the graph doesn't end so every x-value is possible
x = All Real Numbers x = (-∞, ∞)
The lowest y-value (minimum) is at y = 2. All other y-values are greater than that. y ≥ 2 y = [2, ∞)
b) The graph starts at x = -4 with an open dot so it doesn't include -4. It ends at x = +4 with a closed dot so it does include +4.
-4 < x ≤ 4 x = (-4, 4]
The lowest y-value (minimum) is at y = 0. All other y-values are greater than that up to y = 4. 0 ≤ y ≤ 4 y = [0, 4]
.Solve for x 5 x − 1 = 6 x − 9
Answer:
x = 8
Step-by-step explanation:
Step 1: Subtract 5x from both sides
-1 = x - 9
Step 2: Add 9 to both sides
x = 8