Construyendo y resolviendo una ecuación, tenemos que el número puede ser 8 o -10.
El número es desconocido, así que lo llamaremos x. El cuadrado del número es [tex]x^2[/tex].El doble es [tex]2x[/tex], sumando al cuadrado, [tex]x^2 + 2x[/tex].Se resta 5, o sea, [tex]x^2 + 2x - 5[/tex].Obtiene 75, entonces: [tex]x^2 + 2x - 5 = 75[/tex].Para encontrar el número, tenemos que resolver una ecuación cuadrática, luego:
[tex]x^2 + 2x - 5 = 75[/tex]
[tex]x^2 + 2x - 80 = 0[/tex]
Ecuación cuadrática con [tex]a = 1, b = 2, c = -80[/tex]
[tex]\Delta = 2^2 - 4(1)(-80)[/tex]
[tex]x_{1} = \frac{-2 + \sqrt{324}}{2} = 8[/tex]
[tex]x_{2} = \frac{-2 - \sqrt{324}}{2} = -10[/tex]
El número puede ser 8 o -10.
Un problema similar es dado en https://brainly.com/question/24673650
[tex]f(x) = 1 - 2 x ^{2} [/tex]
[tex]g(x) = x + 1[/tex]
Compute f(g(-1)).
Step-by-step explanation:
f(g(x))= f(x+1)
f(g(1))= f(-1+1)= f(0)
f(0)= 1 - 2(0)²
=1-0
=1
Find the difference (10j – 7)-(-9j + 2)
Answer:
Step-by-step explanation:
(10j – 7)-(-9j + 2)
10j-7+9j-2
19j-9
Please help! Determining an unknown angle measure for geometry
M<3 = 115° is ur answer
can somebody plsss help me with these 2 questions
Answer:
no LLLLLLLLLLLLLL
determine the intercepts of the line
x intercept: ?,?
y intercept: ?,?
Answer:
x-int = 4.5
y-int = -1
Buddy you don't need to spam the question btw
Crosby had $300 in his checking
account. Over one week, he
withdrew $50, wrote a check for
$20, and deposited $60. What was
his account balance at the end of
the week?
Answer:
390
Step-by-step explanation:
so 50-20 = 30 30+60= 90
90+300 = 390
Answer:
$290
Step-by-step explanation:
300-50= 250
250-20=230
230+60=290
You need a mean score of at least 90 points to get an ""A"" average. What do you need to score on your fifth test to earn at least a 90?
Answer:
85
Step-by-step explanation:
at least a 85 %bcz it's go bring you higher
For any linear function f(x) = mx + b, when does kf(x) = f(kx)?
Only when b = 0 or k = 1.
If f(x) = mx + b, then
f (kx) = m (kx) + b = mkx + b
while
k f(x) = k (mx + b) = kmx + kb
The two expression are identical only if
kb = b ===> kb - b = 0 ===> b (k - 1) = 0 ===> b = 0 or k = 1
A package of 6 pairs of insulated gloves costs $38.94. What is the unit price of the pairs of gloves? The unit price is $ per pair of gloves.
Answer:
6.49
Step-by-step explanation:
6 pairs of insulated gloves cost $38.94
That means 6 x (price of one glove) = 38.94
Let's say the price of on glove = x
The equation is :
6x = 38.94
x = 38.94 ÷ 6 (divide all sides by 6)
x = 6 + (2.94 ÷ 6) (Splitting numbers to multiples of 6)
x = 6 + 0.4 + ( 0.54 ÷ 6) (Splitting numbers to multiples of 6)
x = 6 + 0.4 + 0.09 (Adding all sums)
x = 6.49
Each pair of gloves cost 6.49
-Chetan K
Answer:
6.49
Step-by-step explanation:
Practice 1-2: Unit Rates (Level: Middle School)
Here, given the cost of 6 pairs pf gloves = $38.94
Now, the unit price = Price per unit of the given item
U =
[tex]\frac{38.94}{6} =6.49[/tex]
How can you tell if an equation (for example, x=16+3y (don’t solve this)) will be represented by a straight line when graphed on a coordinate plane? Is there an easy way to tell or how do you figure that out?
Answer:
I know it is a straight line because I can convert it into standard or slope intercept form. An example of when something isn't a straight line is like y=|x|.
x=16+3y
-3y=-x+16
y=1/3x-16/3
A map of Pennsylvania has a scale of ¾ inch to 25 miles. If Pittsburgh and Philadelphia are 9 inches apart on the map, how many miles apart are the two cities? Please help due today
Explanation please
Answer:
225 miles
Step-by-step explanation:
0.75 inches : 25 miles
we can times 0.75 by 12 to get 9, so we have to times the other side by 12 too.
9 inches : 300
Write the equation of the line that has a slope of 4/5 and a y-intercept of -8.
The equation of any staright line can be written as y = mx + c , where m is its slope and c is its y - intercept . hence, equation of line with slope = 4/5 and y - intercept = -8 is,
→ y = 4/5x - 8
→ m - c = 4/5 + 8 = 12/5
hope this answer helps you dear take care!
What does the expression you wrote in part d mean?
Answer:
you give us no context
Answer:
The expression means that if Harold has one pack of red sticks and one pack of blue sticks, he could distribute them equally among 4 people without having any sticks of either color leftover.
Step-by-step explanation:
Which of the following is a measure of spread?
1.Range
2.Mean
3.Median
4.Mode
5.All of the above: Mean, Median, Mode, and Range
6.Mean, Median, and Mode only
Answer: 1. range
Step-by-step explanation: range is the spread of values from lowest to highest in which you will find all the values.
The length of a rectangle is twice its width. The length is 4 1/2 feet. What is the area of the rectangle in square feet?
Answer:
Loading,please wait...
Step-by-step explanation:
1. A package of sliced cheese costs 2.97 dollars, Their are 11 slices in each pack.
Question: how much would a package with 18 slices cost at the same price per slice? Explain or Show ur reasoning
Answer:
4.86 pack of 18
Step-by-step explanation:
If we consider adding a price to each slice from the 11 slice package. The price to each slice would be .27 cents. Now if we add 7 slices, each .27 cents each. The total price for the 18 package of sliced cheese would be 4.86
216 divied by blank to the third power
Answer:
6
Step-by-step explanation:
3√216 = 6
or
6 *6 is 36
36 * 6 is 216
Hope this helps!
An object is thrown upwards with a speed of 20 m/s. After t seconds, its height can be solved using the formula h = 20t - 4.9t2 where h is the height and t is the time. After how many seconds is the object 19.6 meters high?
Step-by-step explanation:
h= 20t - 4.9t^2
when h=19.6m
19.6=20t - 4.9t^2
4.9t^2 -20t+19.6=0
solving quadratically
t= 1.64 seconds or t= 2.45 seconds
Find the quotient. Your answer should be in simplest form.
-4/5 divided by 8/9
How long will it take 4 machines to complete a task, given that 7 machines can complete the same task in 8 days?
Answer:
14
Step-by-step explanation:
4. Which of the following is correctly written in Standard Form?
(3, r) and (7, 2) m = 1
Answer:
r = -2
Step-by-step explanation:
2+2 = 4
7-3 = 4
4/4 = 1
m = 1
Johnny bought a Blu-Ray Disc recorder for $280. Now, it's on sale for $220. Find the percent of change in the price. Round to the nearest whole percent if necessary.
Answer -21.43
Step-by-step explanation:
-21.43
Step-by-step explanation:
cost price :$280
selling price:$220
%profit =sp-cp/cp ×100
%loss=cp-sp/cp×100
%loss=280-220/280 ×100
=60/280 ×100
=21.4285
=21
Which of the following is a true statement?
a. The sum of two irrational numbers is always an irrational number.
b. The product of two irrational numbers is an irrational number.
c. Every real number is always rational.
d. Every real number is either rational or irrational.
Answer:
the sum of two irrational number is always an irrationa number
if x+y=7 and xy=10 find x2+y2+5xy
Answer:
64
Step-by-step explanation:
x+y = 7
xy = 10
2x+2y+5xy = 2(x+y)+5(xy) = 2*7+5*10 = 14 + 50 = 64
Which is the image of the point (9,-4) after a reflection about line y = 2 then translated along the vector <-2,4>?
A. (7,4)
B. (9,8)
C. (7,0)
D. (7,12)
=======================================================
Explanation:
Start at (9,-4). Move 6 units up to arrive at (9,2). This second point is on the horizontal mirror line of y = 2. We move another 6 units to get to (9,8).
Going from (9,-4) to (9,8) represents reflecting over the line y = 2.
Now apply the translation vector <-2,4> which says "shift to the left 2 units and shift up 4 units". That translation vector is the same as writing the rule [tex](x,y) \to (x-2,y+4)[/tex]
Applying that translation to the point (9,8) moves us to (7,12)
Check out the diagram below.
Factor -4 out of -12r + 20.
Answer:-12r+20=-4(3r-5)
Step-by-step explanation:
Pls mark as brainliest
Answer:
-4(3r + 5)
Step-by-step explanation:
To factor -4 out of -12r + 20, we need to find out what are the factors that can be multiplied with -4 to get a product of -12r and 20.
To get a product of -12, we must multiply -4 by 3r.
And to get a product of 20, we must multiply -4 by -5.
Therefore, the correct answer is: -4(3r - 5)
Please mark my answers as the Brainliest if you find this helpful :)
HELP HELP HELP !!!
Which equation shows that the product of a square matrix A and its identity matrix I is A?
Answer:
Option B
Step-by-step explanation:
The multiplication process of matrices works by multiplying the first row of the first matrix by the first column of the second matrix. The same goes with the second row of the first matrix by the second column of the other matrix. Below is the solution why option B is the correct answer.
[tex]A = \left[\begin{array}{ccc}8&11\\13&5\\\end{array}\right][/tex]
[tex]B = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex] ← This is the Identity Matrix.
The attached screenshot shows the solution of the multiplication process. In essence, if you multiply any matrix by the identity (Matrix B), you should end up with your original matrix. Thus, multiplying Matrix A by the Identity matrix results in the same values as Matrix A.
Therefore, the correct answer is B.
anybody know this please help
9514 1404 393
Answer:
A = -5
Step-by-step explanation:
The equation can be simplified, then solved for A.
[tex]\dfrac{-8+A\times(-8)-(-6)}{-3+(-8)\div2\times4}=-2\\\\\dfrac{-8-8A+6}{-3-4\times4}=-2\\\\\dfrac{4A+1}{-3-16}=1\qquad\text{multiply by -1/2}\\\\4A+1=-19\qquad\text{multiply by -19}\\\\4A=-20\qquad\text{subtract 1}\\\\\boxed{A=-5}\qquad\text{divide by 4}[/tex]
What is the equation in slope-intercept form of a line with
slope -5/4 and y-intercept 2?