Solve the following quadratic equation for all values of x in simplest form.
4(x 2−5)−1=3
The solutions to the equation 4(x² − 5) − 1 = 3 are ±√6
How to determine the solutions to the equation?From the question, we have the following parameters that can be used in our computation:
4(x 2−5)−1=3
Express properly
This gives
4(x² − 5) − 1 = 3
Subtract -1 from both sides of the equation
So, we have the following representation
4(x² − 5) = 4
Divide both sides by 4
This gives
x² − 5 = 1
Subtract -5 from both sides of the equation
So, we have the following representation
x² = 6
Take the square root of both sides
x = ±√6
Hence, the solution is ±√6
Read more about equations at
https://brainly.com/question/2476251
#SPJ1
It takes 7 hours for 12 men to paint a room.
How many men would be needed to paint the room in 3 hours?
Answer:
28(brainlestplzzzzzzzzzzzzzzz)
Step-by-step explanation:
Answer:
28 men will be needed for three hours.
Step-by-step explanation:
7 hours --- 12 men
1 hour --- (12 * 7) 84 hours
3 hours --- (84/3) = 28 hours
Thenks and mark me brainliest :)))
Help ASAP!!! Which of the following terms correctly describes the object below?
Answer:
The letters:
A.
B.
E.
Step-by-step explanation:
why?
A = it is a polygon
B = it's a solid figure
E = it's a prism (pentagonal prism)
HOPE IT HELPS
(FROM CROSS)
Solve the problem.
2) A theatre sells two types of tickets to their plays; children's tickets and adult tickets. For today's
performance they have sold a total of 914 tickets. Also, they have sold 80 more adult tickets than
children's tickets. How many children's tickets have they sold?
A) 421
B) 419
C) 413
D) 417
Answer:
417
Step-by-step explanation:
bc i said so
What are the roots of the equation x2 – 14x + 74 = 0 in simplest a + bi form?
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Use these formulas to solve for this equation.}\\\\\\\mathsf{ax^2 + bx + c = 0}\\\\\\\mathsf{x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}}[/tex]
[tex]\mathsf{x^2-14x + 74= 0}[/tex]
[tex]\mathsf{1x^2 + (-14x) + 74= 0}[/tex]
[tex]\large\text{Whereas, a = 1, b = -14, \& c = 74}[/tex]
[tex]\mathsf{x =\dfrac{-(-14)\pm \sqrt{(-14)^2 - 4(1)(74)}}{2(1)}}[/tex]
[tex]\mathsf{-(-14) = \bf 14}\\\\\mathsf{(-14)^2-4(1)(74)=\bf -100}[/tex]
[tex]\mathsf{x = \dfrac{14\pm \sqrt{-100}}{2}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf No real solutions}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex] \Large{\boxed{\sf x= 7 \pm 5i} } [/tex]
[tex] \\ [/tex]
Explanation:The given equation is a quadratic equation. In other words, it is written in the form ax² + bx + c = 0, where a ≠ 0.
[tex] \\ [/tex]
We will solve this equation using the quadratic equation, which is the following:
[tex] \sf x = \dfrac{- b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] \\ [/tex]
First, let's identify the value of the coefficients a, b, and c:
a = 1b = -14c = 74[tex] \\ [/tex]
Then, substitute these values into the quadratic formula:
[tex] \sf x= \dfrac{-(-14) \pm \sqrt{(-14)^2 - 4(1)(74)}}{2(1)} = \dfrac{14 \pm \sqrt{-100}}{2} [/tex]
[tex] \\ [/tex]
Simplify the expression knowing that [tex] \sf \sqrt{-1} = i [/tex], and keep in mind the following property:
[tex] \Large{\boxed{\sf \sqrt{ab} = \sqrt{a}\sqrt{b} }} [/tex]
[tex] \\ [/tex]
[tex] \sf x= \dfrac{14 \pm \sqrt{100 \times (-1) }}{2} = \dfrac{14 \pm \sqrt{100} \times \sqrt{-1}}{2} = \dfrac{14 \pm 10 \times i }{2} \\ \\ \implies \boxed{\boxed{\sf x= 7 \pm 5i}} [/tex]
[tex] \\ [/tex]
Therefore, the two complex conjugate roots of this equation are x = 7 + 5i and x = 7 - 5i.
[tex] \\ [/tex]
▪️Learn more about quadratic equations and complex conjugate roots here:
↣https://brainly.com/question/13880878
Malika owns a small business selling bagels. She knows that in the last week 63
customers paid cash, 22 customers used a debit card, and 13 customers used a credit
card
Based on these results, express the probability that the next customer will pay with
cash as a fraction in simplest form.
10. A function has a period of pi/2
a. What is the value of B?
b. What is the frequency?
Answer:
b is corect
Step-by-step explanation:
PLSS ANSWER SOMEONE I ONLY HAVE A FEW MINUTES I GIVE POINTS
A bakery sells mocha cupcakes and chocolate cupcakes. One day it sold 161 mocha
and 299 chocolate. What percent of the cupcakes sold that day were mocha?
Answer:
35%
Step-by-step explanation:
35% percent of the cupcakes were mocha
What number is equivalent to
32 + 6 – (14 – 5 × 2) ÷ 4
A
234
B
1012
C
14
D
15
Answer:
C you all welcome:)
Step-by-step explanation:
A was wrong sorry to tell you
Find the total surface area of the net below
Therefore ,answering the offered question, we can state that the figure's surface area is SA = 2(9 11+11 9+11 * 11), which equals SA = 638 in2.
What precisely is surface area?Surface area is a measure of how much space an object's surface takes up overall. The total area of a three-dimensional shape's surroundings is its surface area. Surface area refers to the total surface area of a three-dimensional shape. You may compute the contact area of a cube with six square faces by adding together their individual areas. Alternatively, you can use the following formula to name the box's dimensions: Surfaces (SA) = 21 h + 2 lw + 2 hw. A tri shape's surface area is calculated as the total amount of space it occupies.
Here,
Front = rear = 11*11
top = bottom = 9*11
sides = 11*9;
SA= 2(911+119+1111)
SA=2(9999 +121)
SA = 2(319) (319)
SA = 638 in²
To know more about surface area visit:
brainly.com/question/2835293
#SPJ1
5. Find the product of X2 and Z2 ________
This is Quantitative
Answer:
it would be [tex]x^2z^2[/tex]
Step-by-step explanation:
you would just put the x^2 next to the z^2 in this case.
WILL MARK BRAINLIEST!
Given: parallelogram ABCD, calculate the length of AD
Answer:
15
Step-by-step explanation:
Due to it being a parallelogram 6x-10=3x+5 which makes it 3x-10=5 when you subtract both sides by 3x then you add 10 to both sides to make 3x = 15 which gets you x = 5 finally you put this into 4x-5 which is 4*5-5, 20-5=15 so the answer is 15
Would be amazing if you marked this brainliest :)
Surface area & volume. HELP please I don’t know how to do this I need the steps if possible :(
Answer:
Surface Area is 78 un.
Volume is 40 un³.
Step-by-step explanation:
A = 2(wl + hl + hw)
2 · (4 · 5 + 2 · 5 + 2 · 4)
2 · 38
76
V = whl
4 · 2 · 5
40 un³
Tony purchased a total of 18 bikes and magazines.Each book costs $12.How many books and magazines did he buy for $240
(You must define you variables and show your equations)
Tony purchased 12 books and 6 magazines for a total of $240.
What is equation?An equation is a mathematical statement that expresses two or more mathematical expressions as equal. It typically consists of an equals sign (=), two or more variables, and a number or operation that links them. Equations are often used to solve problems, model real-world situations, and to make predictions.
He bought 12 books for $12 each, and 6 magazines for $12 each. Thus, the total cost of 18 books and magazines was $240.
To know more about Equation click-
https://brainly.com/question/2972832
#SPJ1
C.
How many minutes is 9.5 hours?
PLEASE HELP
Classify the solid.
Your answer
Answer:
Square pyramid
Step-by-step explanation:
Hope this helps
Tyler’s brother earns 14 per hour. The store offers him a raise a 15% increase per hour. After the raise, how much will Tyler brother make per hour
Answer: 16.10
Step-by-step explanation:
$14 + 15% increase rate = 16.10
15% = 2.10
Which property of real numbers is utlities by rewriting 11x+5xy as x(11+5y)
9514 1404 393
Answer:
distributive property
Step-by-step explanation:
The distributive property of multiplication over addition tells you ...
a(b +c) = ab +ac
This works both ways, allowing you to eliminate or add parentheses as may be needed.
The common factor of ...
11x +5xy
is x. It may be factored out according to the distributive property to give ...
x(11 +5y)
PLS WAMSER ILL GIVE YOU BRAINLIEST
Question 7: I Can Identify the Slope and Y-intercept in an Equation.
Answer:
a) m = 3 b = 1/5
b) y = 1/2x - 3
Step-by-step explanation:
y=mx+b
PLEASE HELP NOW!!!! WILL GIVE BRAINLIEST!!!
Answer:
0.48 is the correct answer
Only answer if you’re sure :) need full equation. Will give Brainly!
Answer:
Step-by-step explanation:
Only one answer will do for this question and that is 1.
y/x = 5/5 = 1
y/x = 6/6 = 1
y/x = 1/1 = 1
The one you have to be careful with is when x = 0 y = 0. You can't solve this by using y/x because 0/0 is undefined at this point.
Please Help! Need this to pass :/
Answer:
51°
Step-by-step explanation:
.........................
15) Find x if m
m/MTU = 38°, and m/STU = 2x + 88.
x + 50 = 2x + 88
Therefore , the solution of the given problem of equation comes out to be x = 38.
What is equation?Equivalent is the meaning of the Latin term equ. A lot of variable words in the English language, such as adequate, equator, and equality, have Latin roots as their root words. Since both side of an equations are, by definition, "equal" to one another, the Latin root term equ makes its way into our vocabulary quite simply.
Here,
Given : m m/MTU = 38°, and m/STU = 2x + 88.
thus,
x + 50 = 2x + 88
To find the value of x:
We do,
=> x + 50 = 2x +88
=> x -2x = 88 -50
=> -x = -38
=> x = 38
Therefore , the solution of the given problem of equation comes out to be x = 38.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
A dice is rolled. What is the probability of rolling a 6 or less than 4?
Answer:
Rolling a 6 would be 1 in 6
And rolling a four or less would be 4 in 6
Step-by-step explanation:
S= {1,2,3,4,5,6}
|S|=6
E=rolling a 6 orless than 4
➜{1,2,3,6}
|E|=4
P(E)=|E| /|S|
➜4/6
➜2/3
Find f(2) for the following quadratic.
• Write your answer as a number only.
Setting x=2 in the function is the simplest approach to discover f(2). However, you might plot the graph of f(x) and the vertical line x=2 to visually solve this.
How do you find f 2 on a parabola?Set x=2 in the function for the quickest and easiest method to discover f(2). Plotting the graph of f(x) and the vertical line x=2 would allow you to visually answer this problem. Next, the graphs' intersection will represent the answer. The "x" in "f (x)" is known as "the function's argument" or simply "the argument" in function notation.
As a result, if they ask for a "argument" and offer you the equation "f (2)," all you have to say is "2." Now (1) f(2)=2(2+1)=2×3=6.If our function's value is f(2), then we should calculate its value when x=2. Example. If x = 2, then f(2) = 2 + 7 = 9. F(x) = x + 7. GF(2), also known as the Galois field of two elements, or F2, the chemical formula for fluorine. F2 is a tornado intensity category on the Fujita scale.
To learn more about parabola refer to :
https://brainly.com/question/27872359
#SPJ1
HELP ME PLEASE RIGHT NOW ASAP
The representation of the set builder notations are:
{y | 22.3 < y ≤ 77.5}: Set of values above 22.3 that do not exceed 77.5{w | w ∈ Z}: Set of all integers{x | x > -1}: Set of values greater than -2{t | t ∈ Q}: Set of all rational numbersHow to determine what the set builder notations representFrom the question, we have the following parameters that can be used in our computation:
The set builder notations
Solving: set builder notation 1
This is given as
{y | 22.3 < y ≤ 77.5}
The less than (<) operator means that the smallest value of y is greater than 22.3 and the operator ≤ means that the highest is 77.5
Solving: set builder notation 2
This is given as
{w | w ∈ Z}
The notation Z means integers
This means that the set w is the set of all integers
Solving: set builder notation 3
This is given as
{x | x > -1}
The greater than (>) operator means that the smallest value of y is greater than -1
Solving: set builder notation 4
This is given as
{t | t ∈ Q}
The notation Q means rational numbers
This means that the set t is the set of all rational numbers
Read more about set builder at
https://brainly.com/question/13642904
#SPJ1
Two exponential functions, f and g, are shown in the figure below, where g is a transformation of f.
19.
4-
2
4
x
Which of the equations given below describes the transformation of f?
OA. g(x) = f(x) - 4
OB.
g(x) = 4f(x)
O c.
g(x) = f(x) + 4
OD.
g(x) = -4f(x)
E
The transformation of f (x) exists g (x) = f (x) - 4.
What is meant by exponential functions?A mathematical function using the following formula is an exponential function: f (x) = an x. where x is a variable and an is a fixed amount known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.
A function that has a positive constant increased to a variable exponent, other than 1, is referred to as an exponential function. By solving at a certain input value, a function is assessed. When the beginning value and growth rate are known, an exponential model can be discovered.
We observed that:
f (0) = 2
For the function g (x) we have:
g (0) = -2
Therefore,
g (x) = f (x) - 4
Looking for intersection with axis and we have:
g (0) = f (0) - 4
g (0) = 2 - 4
g (0) = -2 (correct demonstration)
The transformation of f (x) is: A. g (x) = f (x) - 4
Therefore, the correct answer is option A. g (x) = f (x) - 4.
The complete question is;
Two exponential functions, f and g, are shown in the figure below, where g is a transformation of f.
Which of the rules given below shows the transformation of f?
A. g(x) = f(x) - 4
B. g(x) = f(x - 4)
C. g(x) = f(x) + 4
D. g(x) = f(x + 4)
To learn more about exponential functions refer to;
https://brainly.com/question/30127596
#SPJ1
a metal washer fabrication machine makes metal washes with a Target diameter of u=10.5 millimeters. the machine has some variability Southeast standard deviation of the diameter is o= 0.003 millimeters. same machine operator inspects a random sample of 9 washers each hour quality control purposes and record the sample mean diameter, x. assuming the process is working properly what are the mean and standard deviation of the sampling distribution of x?
Answer: ux= 10.5, ox= 0.001
Step-by-step explanation:
I took the test and got it right