Answer:
-5 ; 1/2
Step-by-step explanation:
GIVEN :-
A quadratic polynomial f(x) = 2x² + 9x - 5TO FIND :-
Zeroes of f(x) = 2x² + 9x - 5GENERAL CONCEPTS TO BE USED IN THIS QUESTION :-
Lets say there's a quadratic polynomial f(x) = ax² + bx + c , whose factors are (x - α) & (x - β). To find the values of x for which f(x) will be zero , equate the factors of f(x) with 0.
⇒ (x - α) = 0 & (x - β) = 0
⇒ x = α & x = β
Hence, it can be concluded that if (x - α) & (x - β) are factors of f(x) , then α & β are the roots of f(x).
SOLUTION :-
Factorise f(x) = 2x² + 9x - 5.
Split its middle term.[tex]=> 2x^2 + 10x - x - 5[/tex]
Take '2x' common from first two terms & '-1' from last two terms.[tex]=> 2x(x + 5) - 1(x + 5)[/tex]
Take (x + 5) common from the whole expression.[tex]=> (x + 5)(2x - 1)[/tex]
So , the factors of f(x) are (x + 5) & (2x - 1). Now equate the factors with zero.
⇒ (x + 5) = 0 & (2x - 1) = 0
⇒ x = -5 & x = 1/2
∴ The zeroes of f(x) = 2x² + 9x - 5 are (-5) & (1/2)
VERIFICATION :-
1) Put x = -5 in f(x) = 2x² + 9x - 5
⇒ f(-5) = 2(-5)² + 9×(-5) - 5
= 50 - 45 - 5
= 50 - 50
= 0
2) Put x = 1/2 in f(x) = 2x² + 9x - 5
[tex]f(\frac{1}{2} ) = 2 \times (\frac{1}{2} )^2 + 9 \times \frac{1}{2} - 5[/tex]
[tex]= 2 \times \frac{1}{4} + \frac{9}{2} - 5[/tex]
[tex]= \frac{1}{2} + \frac{9}{2} - 5[/tex]
[tex]= \frac{ 1 + 9 - 10}{2}[/tex]
[tex]= \frac{0}{2}[/tex]
[tex]= 0[/tex]
help me on this question
Answer:
x = 8
Step-by-step explanation:
It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.
30 ÷ 25 = 1.2
Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;
1.2 (35) = 4x + 10
Simplify,
42 = 4x + 10
Inverse operations,
42 = 4x + 10
32 = 4x
8 = x
Answer:
Step-by-step explanation:
Use proportions to solve this and the similarity from smaller side to corresponding larger side:
[tex]\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10}[/tex] and cross multiply to solve for x:
1050 = 25(4x + 10) and
1050 = 100x + 250 and
800 = 100x so
x = 8
Find the slope of this line
PLEASE HELP WHATS THE VOLUME
Step-by-step explanation:
shapes are a pyramid and rectangular prismfinding volume of pyramid
[tex] \frac{1}{3} (12 \times 18)(13) \\ \frac{1}{3} (216)(13) \\ \frac{1}{3} (2808) \\ 936 {ft}^{3} [/tex]
volume of the rectangular prism
[tex](12)(18)(11) \\ (216)(11) \\ 2376 {ft}^{3} [/tex]
volume of the shape
[tex]936 + 2376 \\ 3312 {ft}^{3} [/tex]
The cost of making hamburger is 10.75 and the selling price is 16. The fixed expenses for the month is 3000. How many hamburger should be sold per month
Answer:
Break-even point in units= 571 hamburgers
Step-by-step explanation:
Giving the following information:
The cost of making a hamburger is 10.75 and the selling price is 16. The fixed expenses for the month are 3000.
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 3,000 / (16 - 10.75)
Break-even point in units= 571 hamburgers
what type of angles are <5 and <16
What is the measure of A in the given figure?
I WILL GIVE AN EXTRA 50 POINTS TO WHOEVER GETS THESE 2 QUESTIONS RIGHT
A card is drawn from a standard deck of cards. What is the probability
that a spade is drawn, then replaced, and a red card is drawn second?
A card is drawn from a standard deck of cards. What is the probability that a spade is drawn, NOT replaced, and another spade is drawn?
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1:
A standard deck of cards contains 52 cards, consisting of 13 spades. If you select only one randomly, the probability of that occurring would be 13/52 or 1/4. Since there are only 26 red cards in a standard deck, then the probability of selecting a red card would be 26/52 or 1/2. Because the two events are independent of each other, their probabilities are multiplied. Therefore, the probability of selecting a spade, and then replacing it in hopes of drawing a red card is (1/2)(1/4) = 1/8.
Problem 2:
We are selecting a spade and then another spade while NOT replacing the first spade (remember that these events are independent of each other also). This means that the total card count will change by picking up the second card. Therefore, the probability of selecting a spade, followed by another spade, is (13/52)(12/51) = 156/2652 = 1/17.
PLS HELP I WILL GIVE BRAINLIEST
Step-by-step explanation:
[tex]6 {x}^{2} {y}^{3} - 2x + 10 \\ when \: x = 5 \: y = - 3 \\ 6( {5})\: ^{2} ( { - 3})^{3} - 2(5) + 10 \\ 6 (25)( - 27) - 10 + 10 \\ = - 4050[/tex]
I need help bro pleaseeee
Answer
20/7=2 6/7
Step-by-step explanation:
soory no explanation
I pull a block out 50 times, I pull a green block 32 times out of 200 picks how many times will I pull a green block?
Answer:
128 times
Step-by-step explanation:
32 / 50 = 0.64
0.64 * 200 = 128
128 times out of 200
Determine the largest integer value of x in the solution of the following
inequality.
3x – 7 < -2
Answer:
The largest value of x will be [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]3x-7<-2[/tex]
[tex]3\frac{5}{3}-7<-2[/tex]
[tex]\frac{15}{3} -7<-2[/tex] Always multiply whole number then numerator
[tex]5-7<-2[/tex] Statement is false so that means x has to be less than 5/3
So the largest value of x will be [tex]\frac{4}{3}[/tex]
u cant have 3 answers on a question
Answer:
true, unless its a check all that apply and then you can have multiple!
Step-by-step explanation:
hope this helps :)
pls help i need to solve for X and m b
Answer:
x=12. B=52
Step-by-step explanation:
In ∆BCD,
<C=45
<D=7x-1
<B=3x+16[as this diagram is a parellelogram so DE II BC so <CBD=<BDE=3x+16 bcz alternate interior angle]
interior angle of triangle=180 degree
<B+<C+<D=180
3x+16 + 45 + 7x-1 = 180
10x + 60=180
10x =180-60
x=120/10
x=12 degree
m<B =3x+16
=3(12)+16
=36+16
m<B = 52 degree
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE IT TOOK TOO MUCH TIME
please show work for both thank you!!
Answer:
a. x = 4.8989794855663561963945681494118 or 4.9 rounded
b. x = 8.6023252670426267717294735350497 or 8.6 rounded
Step-by-step explanation:
7² - 5² = x²
49 - 25 = x
49 - 25 = 24
√24 = 4.8989794855663561963945681494118
7² + 5² = x²
49 + 25 = x
49 + 25 = 74
√74 = 8.6023252670426267717294735350497
What is one possible solution to the equation you wrote in #1, in the form (S,H)
O (20,10)
O (5,10)
O (20,20)
0 (0,40)
ILL MARK BRAINLIEST HELP PLEASE!!
The function y=x+7 is graphed in the coordinate plane. Which point will not be on the line?
O (2.14)
O (12, 19)
O (0.7)
O (9.16)
If you help ill give you some of my banana milk...
Given:
The function is:
[tex]f(x)=4x^2-25x-21[/tex]
To find:
The domain of the given function.
Solution:
Domain is the set of input values.
We have,
[tex]f(x)=4x^2-25x-21[/tex]
It is a quadratic polynomial.
We know that a quadratic polynomial is defined for all real values of x. So, the given function is defined for all real values of x and the domain of the given function is:
Domain = Set of all real number
Domain = (-∞,∞)
Therefore, the correct option is B.
PLEASE HELP ME!!! ILL GIVE BRAINLIEST TO RIGHT ANSWER
Answer:
792m^2
Step-by-step explanation:
Seperate your 2 rectangles
Large one is 18*30
Small one (60-18)*6
18*30 = 540m^2
42*6=252m^2
8n + -3n = (8 + -3)n is an example of what property?
Answer:
this is distributive property.
Step-by-step explanation:
a(c+b)=ac+ab
Solve the system of equations and choose the correct answer from the list of options.
d + e = 1
- d + e = - 5
Label the ordered pairs as (d,e)
1) (0,0)
2) (3, -2)
3) (-2, 3)
4) (-3, 0)
Answer:
2) (3, -2)
Step-by-step explanation:
d + e = 1
- d + e = - 5
__________+
0 +2e = -4
e = -4/2 = -2
d = 1-(-2) = 3
so, (d, e) => (3, -2)
An item is regularly priced at $31 . It is on sale for 65% off the regular price.
Answer:
$10.85
Step-by-step explanation:
31 * .65 = 20.15
31 - 20.15 = 10.85
Helpppppppppp /:;.:;(???()((;;
Answer:
721.64
Step-by-step explanation:
32.7*26.3=860.01
13.7*10.1=138.37
860.01-138.37=721.64
721.64 mi^2
Step-by-step explanation:
Area of the large rectangle A2 is
A2 = (32.7 mi)(26.3 mi) = 860.01 mi^2
Area of the small rectangle A1 is
A1 = (10.1 mi)(13.7 mi) = 138.37 mi^2
Therefore, the area of the shaded region is simply the difference between A2 and A1:
Area (shaded) = A2 - A1
= 860.01 mi^2 - 138.37 mi^2
= 721.64 mi^2
hey can yall please help me its 4'1 minuse 1'10
In other words, it's 2 feet, 3 inches
=================================================
Work Shown:
Convert the 4'1" to purely inches only
4'1" = 4 ft, 1 inch
4'1" = 4 ft + 1 inch
4'1" = 48 inches + 1 inch
4'1" = 49 inches
Note how 4 ft = 4*12 = 48 inches
-------------------
Through similar steps, you should find that 1'10", aka 1 ft 10 inches, is equivalent to 22 inches
Subtracting the two quantities gets us
(4' 1") - (1' 10") = (49 inches) - (22 inches) = 27 inches
Now convert that to the format "feet,inches".
27 in = 24 in + 3 in
27 in = (24/12 ft) + 3 in
27 in = 2 ft + 3 in
27 in = 2 ft, 3 in
27 in = 2' 3"
What are the center and radius of the circle defined by the equation
x2 + y2 - 6x+8y +21= 0 ?
Answer:
the center is (3, -4) and the radius is = 2
Step-by-step explanation:
Which situation is best modeled by the expression 1/2 x 1/6.
Answer:
I'm gonna go with b p.s: sorry if im wrong
Step-by-step explanation:
The Situation described in option A models best the given expression
The given expression is:
[tex]\frac{1}{2} *\frac{1}{6}[/tex]
What is a fraction?A fraction is part of a whole.
A)Pablo spent 1/2 hour practising the trumpet, he spent 1/6 of that time practising his scales.
This means he spent [tex]\frac{1}{2} *\frac{1}{6}[/tex] hours i.e. [tex]\frac{1}{12}[/tex] hours while practising his scales.
So, option A best models the expression [tex]\frac{1}{2} *\frac{1}{6}[/tex].
B)This option is concerned with [tex]\frac{1}{2} +\frac{1}{6}[/tex]
C)This option is concerned with [tex]\frac{1}{2} /\frac{1}{6}[/tex]
D)This option is concerned with [tex]\frac{1}{2} -\frac{1}{6}[/tex]
Hence, option A best models the expression [tex]\frac{1}{2} *\frac{1}{6}[/tex].
To get more about fractions visit:
https://brainly.com/question/78672
Please help no links
Answer:
x=11
Step-by-step explanation:
These add up to 180 since a straight line = 180 degrees
Your equation is: 4x+15+11x=180
15x+15=180
15x=165
x=11
Answer:
X=11
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
4x+15+11x=180
15x+15=180
180-15=165
165/15=11
X=11
HELP DUE SOON!
x = ??
Answer:
x=11
Step-by-step explanation:
Your equation is:
35 = 14x+1-85/2
70=14x-84
154=14x
11=x
Answer:
x = 11Step-by-step explanation:
Angle between tangent and secant is half the difference of intercepted arcs:
(14x + 1 - 85)/2 = 3514x - 84 = 7014x = 154x = 154/14x = 11What is the Value of the expression 3 (2x - 4) when x = -3?
Answer:
-30
Step-by-step explanation:
3 (2(-3) - 4)
= 3(-6 - 4)
= 3(-10)
= -30
Answer:
1 Let x=1x=1.
2\times 1\times 4=8
2×1×4=8
2 Simplify 2\times 12×1 to 22.
2\times 4=8
2×4=8
3 Simplify 2\times 42×4 to 88.
8=8
8=8
Step-by-step explanation:
What is the Value of the expression 3 (2x - 4) when x = -3?
2 Divide both sides by 88.
x=1
HELP PLSS
Write the percent as a fraction and as a decimal.
3/15%
Answer:
0.2% and 1/5%
Step-by-step explanation:
Hope this helps
Answer:
0.2% is the answer as decimal.
3/15/100
3/15*1/100
3/1500
1/500( as fraction)
Step-by-step explanation:
Is the point (1,3) inside, outside the circle
Step-by-step explanation:
what is the center of the circle !