Answer:
[tex]{ \bf{let \: \: { \tt{ - {x}^{2} + 5x + 24} \: \: be \: \: { \bf{{y}}}}}} \\ { \tt{y = - {x}^{2} + 5x + 24 }} \\ { \tt{y = (x + 3)(x - 8)}} \\ for \: x - intercept : y = 0 \\ { \tt{(x + 3)(x - 8) = 0}} \\ { \bf{x = - 3 \: and \: 8}}[/tex]
The factors to the given expression are -1(x+3)(x-8)
The x-intercepts are -3, 8
What do we mean by factorization?Factorization is the process in which we write an expression in its factors which when multiplied results in the original expression.
How do we factorize the given expression?We equate the given expression to f(x)
(-x² + 5x + 24) = f(x)
⇒ -1(x² - 5x - 24) = f(x)
⇒ -1(x² - (8-3)x - 24) = f(x)
⇒ -1(x² + 3x - 8x -24) = f(x)
⇒ -1(x(x+3) -8(x+3)) = f(x)
⇒ -1(x+3)(x-8) = f(x)
∴The factor to the given expression is -1(x+3)(x-8)
How do we find the x-intercepts?To find the x-intercepts we equate f(x) = 0
⇒ -1(x+3)(x-8) = 0
⇒ (x+3)(x-8) = 0
x-intercepts are the roots of the above equation.
∴ The x-intercepts occur where x = -3 and x = 8
Learn more about the Factorization and x-intercepts at
https://brainly.com/question/11579257
https://brainly.com/question/3951754
#SPJ2
Write an equation for a quadratic function in factored form with
zeros at x = -4 and x = 0 that passes through the point (-3,6).
Answer:
[tex]f(x)=-2x(x+4)[/tex]
Step-by-step explanation:
We want to find the equation of a quadratic function in factored form with zeros at x = -4 and x = 0 that passes through the point (-3, 6).
The factored form of a quadratic is given by:
[tex]f(x)=a(x-p)(x-q)[/tex]
Where p and q are the zeros and a is the leading coefficient.
Since we have zeros at x = -4 and x = 0, let p = -4 and q = 0. Substitute:
[tex]f(x)=a(x-(-4))(x-0)[/tex]
Simplify:
[tex]f(x)=ax(x+4)[/tex]
And since we know that the function passes through the point (-3, 6), f(x) = 6 when x = -3. Thus:
[tex](6)=a(-3)(-3+4)[/tex]
Simplify:
[tex]6=a(-3)(1)[/tex]
Thus:
[tex]-3a=6\Rightarrow a=-2[/tex]
So, our quadratic function is:
[tex]f(x)=-2x(x+4)[/tex]
(-4)+12+(-20) simplify
(-4)+12+(-20)
= 12 + (-24)
= -12
Answer:
-12
Step-by-step explanation:
The solution is in the picture ^_^ I hope it helps
The circle below is centered at (4, q) and has a radius of 3. What is the equation.
Answer:
C
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (4, - 1 ) and r = 3 , then
(x - 4)² + (y - (- 1) )² = 3² , that is
(x - 4)² + (y + 1)² = 9 → C
If 2 angles are both right angles then they are congruent. Would the converse of this statement be true?
Given:
The statement is: If 2 angles are both right angles then they are congruent.
To find:
The converse of the given statement and then check whether it is true or not.
Solution:
We know that,
Statement: If p, then q.
Converse : If q, then p.
The statement is: If 2 angles are both right angles then they are congruent.
So, the converse of this statement is:
If 2 angles are congruent then both are right angles.
This statement is not true because if 2 angles are congruent then it is not necessary that the angles are right angles.
Therefore, the converse of this statement is not true.
la suma de 4 numeros consecutivos es 54 ¿cual es el numero mayor?
Answer:I don’t speak Spanish so I can’t help
Step-by-step explanation:
modrater give me answer
if 2x- 35273 = 5361925 than find the value of 1x
Answer:
[tex]2x - 35273 = 5361925 \\ 2x = 5361925 + 35273 \\ 2x = 5397198 \\ x = \frac{5397198}{2} \\ x = 2698599[/tex]
[tex]\displaystyle\ 2x-35273=5361925\\\\2x=53\underline{61925}+\underline{35273} \\\\2x=5397198\\\\\\x=\frac{5397198}{2} =2698599\\\\\underline{x=2698599\qquad }\\\\2\cdot 2698599-35273=5361925\\\\5397198-35273=5361925\\\\5361925=5361925[/tex]
Find the area of the parallelogram
The sum of the first six terms of an A.P is 72 and second term is seven times the fifth term. find the first term and common difference.
Hello,
if A.P means arithmetic progression then
let's say a the first term and r the common difference.
[tex]\left\{\begin{array}{ccc}(a)+(a+r)+(a+2r)+...+(a+5r)&=&72\\a+r&=&7*(a+4r)\end{array}\right.\\\\\\\left\{\begin{array}{ccc}6a+15r&=&72\\6a+27r&=&0\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&\dfrac{-9}{2}*r\\-9r+5r&=&24\end{array}\right.\\\\\\\left\{\begin{array}{ccc}r&=&-6\\a&=&27\end{array}\right.\\\\[/tex]
How do I do this problem?
Step-by-step explanation:
here is the answer to your question
Answer:
Step-by-step explanation:
I would start from the beginning and find the slope myself, just so I know what's going on (as opposed to being dropped in the middle of the problem). The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and for us:
[tex]m=\frac{5-3}{4-3}=2[/tex] so the slope is indeed 2. Now we need to write the equation in slope-intercept form. I find it easier to first write the equation in point-slope form and then solve it for y. Point-slope form is
[tex]y-y_1=m(x-x_1)[/tex] where m is the slope (2) and x1 and y 1 are from one of the coordinates (whichever one you want; as long as you do the math correctly, you will NOT get an incorrect answer. In other words, you can't pick the "wrong" point to use to write the equation.) I'm going to use (3, 3):
y - 3 = 2(x - 3) and
y - 3 = 2x - 6 and
y = 2x - 6 + 3 so
y = 2x - 3 and that's your equation. Of course, you will enter a (-3) in that box with the ? in it.
Martin can travel 174 miles in 3 hours. At this rate, how far can he travel in 7 hours.
Answer:
406
Step-by-step explanation:
all you have to do is divide 174 by 3 and multiply 58 by 7
Dr. Miller decided to conduct an exercise in his class in which two students each flipped a coin and record how many times they received heads or tails. One student had five heads in a row, while the other student's coin toss had no pattern. Dr. Miller explained that, while the five-head pattern is interesting, it is BEST explained by
Answer: random events
Step-by-step explanation:
Based on the information given in the question, the scenario can be best explained by a random event.
Random event refers to the event that cannot be made exact and one whose outcome can't be predicted. An example is the sum of numbers that are gotten when two rolled dice are rolled.
From the experiment, one student had five heads in a row, while the other student's coin toss had no pattern depicts a random event.
show that the disgonals of a square are equal and bisect each other at right angle
the maximum mark of 30 student is 100. if its range is 75, find the minimum mark and coefficient of range.
Answer:
3000 ................,...
Please help!!
What is the formula that is used for DISCOUNT SALES?
Answer:
discounted price = original price ( 1 - discount rate)
Step-by-step explanation:
What is the gradient of the graph shown? In its simplest form
Answer:
1
Step-by-step explanation:
the line passes point (-3,0) abd (0, 3)
so, the gradient = (3-0)/(0+3) = 3/3 = 1
To solve the equation t? - t = 12 by factoring, you would use
t(t - 1) = 12
Ott - 1) - 12 = 0
(t - 4)(t + 3) = 0
Answer:
it is what it is
Step-by-step explanation:
A car repair will cost $100 for parts plus $50 per hour for labor. Enter the function y that represents the total cost in dollars of the car repair if it requires x hours of labor.
Answer: y = $50x + 100
$100 is the y-intercept$50 is the slopesomeone help me please with this algebra problem
Answer:
4
Step-by-step explanation:
3r = 10 + 5s
r = 10
3(10) = 10 + 5s
30 = 10 + 5r
20 = 5r
r = 4
What is the next term in the pattern 1, -1, 2, -2,3
Answer: -3
Step-by-step explanation:
A certain jet can reach an altitude of 8000 ft while flying 16000 ft through the air. what is the angle of the elevation that the plane is flying? Round to the nearest degree.
Answer:
27 degrees
Step-by-step explanation:
First, we can draw this out. Since the altitude is 8000, we can make that the height, and it goes 16000 feet through the air, that can be the length. I have drawn this out, as shown in the image. Note that when drawing, because the airplane is going up and forward, that path should represent the hypotenuse. The angle of elevation is the angle connecting the length and the path, as shown by the angle x in the picture.
We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees
Use the elimination method to solve the system of equations.
A. (1.5,-8)
B. (-6,-13)
C. (0,0)
D. (4.5,-6)
Answer:
(4.5,-6)
Step-by-step explanation:
[tex]2x-3y = 27\\4x+3y = 0[/tex]
6x = 27
x = 27/6=4.5
9-3y = 27
-3y = 18
y = -6
HELPP!
The functions f(x) and g(x) are described using the following equation and table:
f(x)=-4(1.09)x
Answer:
A: The y-intercept of f(x) is equal to the x-intercept of g(x)
Step-by-step explanation:
From the equation of f(x) given, we have;
f(x) = -4(1.09)^(x)
Now,the y-Intercept will be the point where x = 0.
Thus;
f(0) = -4(1.09)^(0)
f(0) = -4
Now,from the table given for g(x), we can see that at x = 0,g(x) = -4.
Thus,it means that the y-intercept of f(x) is equal to the x-intercept of g(x)
Can you please help with this question. Please please
Answer:
Step-by-step explanation:
5.2*9= 46.8
Do you want to know how to find the answer? :/
Help..................
Answer:
IJKUKOKLIOLIOOOIOLI
Step-by-step explanation:
IOIUOIUOIOIOIOIOIOIOIOIOIOIOIOIOIOIOIOOIOIOIOIOIOIOIOIOIOIOIO
Miast
Select the correct answer.
Which of the equations below represents a line parallel to the x-axis?
А.= 5
B.y = 1
C.y = 1
D.y = 5
Answer: All options are correct (assuming that option A is in the form of Y=5). Typing error in the question. But I will clear your concepts on that.
Step-by-step explanation:
Equation of the form (y = c) are the horizontal lines that are passing through the y-intercept 'c' or cutting/passing through the y-axis at 'c'.
All equations in the option are of the form y = c
option A , (y=5)
option B , (y=1)
option C , (y=1)
option D, (y=5)
All are parallel to X-axis.
For an equation to be parallel to y-axis should have the form x = a (Vertical line passing through x-intercept 'a')
#Muhib
Solve for x. Thank you
Answer:
solve for what exactly, there is no equation here
Step-by-step explanation:
please there's no equation here
To get a B in math, I must average 80 on 5 test. My scores on the 1st 4 test were 83, 75, 83, amd 78. What is the lowest score that I can get on the last test to still get a B?
Answer81 is the lowest you can get on the last test and still get a B.
Step-by-step explanation:I used the mean average and guess and check.
Answer:
83+ 75+ 83+ 78=319
319 divided by 4=79.75 so a high c
83+ 75+ 83+ 78+80=399
399 divided by 5=79.8 not quite
83+ 75+ 83+ 78+85=404
404 divided by 5=80.8
83+ 75+ 83+ 78+81=400
400 divided by 5=80
so you have to get a 80 to still get a b
Math Question: About percentages
Answer:
$58.8 million
Step-by-step explanation:
43% of x = 25.3 million
.43x = 25300000
x = 25300000 ÷ .43
x = 58837209.30
x = 58.8 million
Here is the distribution of blood types from a group
of randomly selected people:
o
А
B
AB
Blood
Type:
Probability:
0.49
0.27
0.20
?
What is the probability of type AB blood?
Describe fully the single
transformation which maps
triangle T to triangle U.
-2-
-1
U
-5
-4
-3
-2
-1
0
1
2
3
4
-1
Answer:
Rotation 90⁰ clockwise about point (-1,-1)
