Answer:
• The quadratic formular is as below:
[tex]{ \boxed{ \rm{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }}}[/tex]
• Basing on our equation given, x² - 5x - 2 = 0;
a → 1b → -5c → -2[tex]{ \rm{x = \frac{ - ( - 5) \pm \sqrt{ {( - 5)}^{2} - (4 \times 1 \times - 2) } }{(2 \times 1)} }} \\ \\ { \rm{x = \frac{5 \pm \sqrt{33} }{2} }} [/tex]
• Therefore;
[tex]{ \boxed{ \rm{x = \frac{5 + \sqrt{33} }{2} }}}{ \rm{ \: \: or \: \: }}{ \boxed{ \rm{x = \frac{5 - \sqrt{33} }{2} }}} \\ \\ { \boxed{ \boxed{ \rm{x = 5.37 \: \: or \: \: - 0.37}}}}[/tex]
. There are 2 boys for every 3 girls in Mrs. Sorrentino's class. If there are 30 students in
the class, what percentage are boys?
(Please show how to solve this question , step by step!)
Answer:
40% are boys
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 = 5 parts
Divide number in class by 5 to find value of one part of ratio
30 ÷ 5 = 6 ← value of 1 part of the ratio, then
2 parts = 2 × 6 = 12 ← number of boys in class
percentage = [tex]\frac{boys}{total}[/tex] × 100%
= [tex]\frac{12}{30}[/tex] × 100%
= 0.4 × 100% = 40%
Answer:
40% simplify the fraction then divide (boys/total) then multiply by 100
Step-by-step explanation: 2+3 = 5 is the distributer then : 30/5 = 6 then if 2 are boys 2 x 6 = 12 is the amount of boys 12/30 = 2/5 simplified and then x 100 to fraction's to find percentage 2/5 x 100 = 40%
Please help me if can, tysm
Answer:
70.4
Step-by-step explanation:
the aquare root of 40.96 is 6.4
so,64+6.4=70.4
53.98% of the area under the distribution curve lies to
the left of it.
Answer:
54%
Step-by-step explanation:
this problem is difficult and i dont want homework
Answer:
The area is 49/12 or 4 1/12
Step-by-step explanation:
The area of a triangle is:
a = 1/2 × base × height
a = 1/2 × 3 1/2 × 2 1/3 (4 2/3 is not the height!)
a = 1/2 x 7/2 x 7/3 (I converted all the fractions into improper fractions)
a = 49/12 (1 × 7 × 7 = 49, 2 × 2 × 3 = 12)
You can convert it back to a mixed number:
49/12 = 4 1/12
Hope this helps!
PLS HELP WILL MARK BRAINLIEST
Represent the following algebraically
Answer:
width = (21 - 2n) ÷ 2 or 21/2 - n
Step-by-step explanation:
To find Width
let's say width is x
so 2x + 2n = 21
take away 2n from both sides
then 2x = 21 - 2n
Divide both sides by 2 to get x on its own
x = 21 - 2n /2
therefore the width of the rectangle is 21 - 2n /2
1. Josiah's checking account was at $104,24 on Monday. One of his checks was cashed on Tuesday and his
account went down to - $23.99. What was the value of the check that was cashed? Show all work
necessary to justify your answer.
Step-by-step explanation:
mondey balance 104.24$
Tuesday balancs -23.99$
value = 104.24+23.99=128.23$
3x(6x + 5)
4x(2x-3y)
Step-by-step explanation:
1) 3x(6x+5)
= 18x+15x
= 33x Answer
2) 4x(2x-3y)
= 8x-12xy Answer
Cannot be solved because it has unlike terms
Christopher buys 3 pizzas for £13.56. If all of the pizzas are the same price, how much does one pizza cost? Give your answer in pounds (£).
Answer:
£4.52
Step-by-step explanation:
£13.56/3
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2
Answer:
A
Step-by-step explanation:
The answer is A
The roots of the given quadratic equation are -
x = 2 and x = 1.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is a quadratic function f(x) defined as -
f(x) = x³ - 3x² + 2
The given quadratic function f(x) is -
f(x) = x³ - 3x² + 2
We can write the roots of the equation as -
x = {3 ± √(9 - 8)}/2
x = {3 + √(9 - 8)}/2 and {3 - √(9 - 8)}/2
x = (3 + 1)/2 and x = (3 - 1)/2
x = 2 and x = 1
Therefore, the roots of the given quadratic equation are -
x = 2 and x = 1.
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PLEASE HELP!!
4) (2.03)
What is the equation of the line in
slope-intercept form?
What is the equation of the line in
function notation?
Answer:
y = (1/2)x - 2
Step-by-step explanation:
(0,-2)
(4,0)
2/4 x - 2
Edward buys a bicycle online for 254.75$ if shipping and handling are an additional 24% of the price how much shipping and handiling will Edward pay
Answer:
24% of (254.75 US$) =
61.14 US$
Step-by-step explanation:
Answer:
61.14$.
Step-by-step explanation:
24% = 0.24.
254.75 * 0.24
= 61.14$.
Yash can buy three pencils and have 49c change, or he can buy five pencils and
have 15c change.
(1) Write this information as an equation for x the cost in cents of one pencil.
(ii) How much money did Yash have to start with?
Answer:
(ii) 1 dollar
Step-by-step explanation:
each pencil costs 17 cents
- thus 3 pencils x 17c is 51c
1.00 dollars minus 0.51 is 49
- 5 pencils x 17c is equal to 85
1.00 dollars minus 0.85 is 15 c
Peter baked 18 cookies. He gave 2/3 of the cookies to his friend. How many cookies did Peter give to his friend
Answer:
12
thStep-by-step explanation:
Read the statement below and then select the idea that can be inferred from the statement.
Toxicity is high in cities. HELP FASSSSSSSST!!!!!
Environmental scientists help keep the air safe.
Temple University is near Philadelphia.
There is some lead in drinking water.
There are more factories in the city than in the country.
Ground soil can become poisoned with lead.
Answer: I would say 4
Step-by-step explanation:
Answer:
There are more factories in the city than in the country.
Step-by-step explanation:
Hope this helps!
Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for every 3 days of practice. Which equation can be used to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece?
m = 72 – 15d
m = 90 – 6d
m = 101 – 21d
m = 108 – 3d
Answer:
m = -90 - 6d
Step-by-step explanation:
18 ÷ 3 = 6 { She needs to memorize six measures a day. }
m = 90 - 6d { She has memorized bd measures }
ANSWER PLEASE AND PLEASE SHOW WORKING
ONLY ANSWER IF UR ARE ANSWERING THE QUESTION PLEASE
Answer:
Step-1 : Multiply the coefficient of the first term by the constant 1 • 7 = 7
Step-2 : Find two factors of 7 whose sum equals the coefficient of the middle term, which is -8 .
-7 + -1 = -8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -1
x2 - 7x - 1x - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
1 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x-1) • (x-7)
Which is the desired factorization
Step-by-step explanation:
x = 7 or 1
hi Help pls will mark as brainlist!!!!!!!!!
Answer:
-1/10
Step-by-step explanation:
-7/24 by the reciprocal of 35/12
The reciproical of 35/12 is 12/35
-7/24 * 12/35
Rewriting
-7/35 * 12/24
-1/5 * 1/2
-1/10
PLZ HELP What is the area of the polygon?
The answer is 42 meters squared
On an escalator, you move 2 feet vertically for every 3 feet you move horizontally. When you reach the top of the escalator, you have moved a horizontal distance of 90 feet. Find the height of the escalator.
The height of the escalator is as calculated using trigonometric ratios.
We know that in a right angled triangle the trigonometric ratios are
tan θ = perpendicular ÷ base
For a right angled triangle the tanθ is defined as the ratio of the perpendicular to the base of the triangle . The side opposite the angle θ is the perpendicular and the side adjacent to the θ is the base .
Now it is given that for every 2 feet vertically moved the horizontal distance moved is 3 feet.
Now using the trigonometric ratio of tanθ
tan θ = 2 / 3
Now we will use this ratio to calculate the vertical height for horizontal movement of 90 feet .
Now, the height is given as h .
∴ tan θ = h / 90
or, 2 / 3 = h / 90
or, h = 60 feet
Therefore the height of the escalator is 60 feet.
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The Cortez family is traveling from Miami to Washington, D.C. They plan to average 55 miles per hour on their trip.
About how many drive hours will it take the Cortez family to make the trip?
Step-by-step explanation:
Miami is approximately 1,054 mi away from Washington DC. assuming the Cortez family is driving in a straight line the time they will be on the road is
[tex]let \: h = hrs[/tex]
[tex] 1054mi \div \frac{55mi}{h } \\ \frac{1054mi}{1} \times \frac{h}{55mi} \\ = \frac{1054mi(h)}{55mi} [/tex]
The miles unit, mi cancels and leaves us with hours, h
[tex] \frac{1054 \: h}{55} \: \: \: \: is \: approx. \: \: \: \: 19.16 \: \: hrs[/tex]
help whats
2 x 3 + 4 -6r2
PLEASE ANSWER FAST
Answer:
-6r^2 + 10
Step-by-step explanation:
2 × 3 + 4 - 6r^2
= 6 + 4 - 6r^2
= -6r^2 + 10
Answer:
- 6r² + 10
Step-by-step explanation:
```````````````````````````
2 × 3 + 4 - 6r²
→ 6 + 4 - 6r²
→ 10 - 6r²
→ - 6r² + 10
```````````````````````````
The graph below could be the graph of which exponential function
Answer:
A
Step-by-step explanation:
The graph below could be the graph of A) F(x) = 2*[tex](0.7)^x[/tex] exponential function.
The graph of the function F(x) = 2 * [tex](0.7)^x[/tex] is a decreasing exponential function. This is because the base of the exponent, 0.7, is between 0 and 1. As x increases, the value of [tex](0.7)^x[/tex] decreases, so the value of F(x) decreases.
The graphs of the other functions are all increasing exponential functions. This is because the bases of the exponents, 2, 5, and 1.4, are all greater than 1. As x increases, the value of [tex]2^x[/tex], [tex]5^x[/tex], and [tex]1.4^x[/tex] increases, so the value of the functions F(x) = 2 * [tex]2^x[/tex], F(x) = 2 * [tex]5^x[/tex], and F(x) = 2 * [tex]1.4^x[/tex] increases.
Therefore, the graph of the function F(x) = 2 * [tex](0.7)^x[/tex] is the only graph that is decreasing. So the answer is A.
Here is a table that summarizes the properties of the graphs of the four functions:
Function Base of the exponent Graph
F(x) = 2 * [tex](0.7)^x[/tex] 0.7 (between 0 and 1) Decreasing
F(x) = [tex]2^x[/tex] 2 (greater than 1) Increasing
F(x) = 2 * [tex]5^x[/tex] 5 (greater than 1) Increasing
F(x) = 2 * [tex]1.4^x[/tex] 1.4 (greater than 1) Increasing
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Can someone tell me the answer to this please?
Answer choice C is incorrect
what is the answer to 8x−13=59
Answer: x=9
Explanation:
8x-13=59
8x-13+(13)=59+(13)
simplify add the numbers
8x=72
Divide both sides of the equation by the same term
8x=72
8x/8=72/8
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
x=9
One of the legs of a right triangle is twice as long as the other, and perimeter of the triangle is 28. Find the lengths of all three sides, to three decimal places
Step-by-step explanation:
One leg is x, the second leg is 2x and the hypotenuse is:
h = [tex]\sqrt{x^2+(2x)^2} =\sqrt{5x^2} =x\sqrt{5}[/tex]Perimeter is:
x + 2x + x√5 = 28x(3 + √5) = 28x = 28/(3 + √5) ≈ 5.348The sides are:
5.348, 2*5.348 = 10.6965.348*√5 = 11.958The circumference of a circle can be found using the formula c=2 pi r.
Which is an equivalent equation solved for r
The formula for the circumference of a circle is C = 2πr, where r is the radius and C is the circumference. The equation solved for r is r =c/π2 .
Write 1.6 as a percentage.
the answer is 160% because 1.6×100=160%
Solve) A = 1/2 h ( a + b ), solve for h
Step-by-step explanation:
A=½h(a+b)
h(a+b)=2A
h=2A/(a+b).
hope this helps you.
Identify the factors of the terms of the expression.
6 + 2a + 15b the factors of the terms are?
Given :
6 + 2a + 15bTo find :-
The factors of the terms of the expression.Solution :-
First term :-
6 Factors = 1 , 2,3,6Second term :-
2a Factors = a , 1 , 2Third term :-
15bb,1,3,5,15Please help!
Suppose that the cross section of a piece of pipe looks like the diagram shown. Find the total outer diameter.
Answer:
-8
Step-by-step explanation: