Answer:
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 5x - 7 = 0[/tex]
Required
Solve for x using:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
First, we need to identify a, b and c
The general form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
So, by comparison with [tex]x^2 - 5x - 7 = 0[/tex]
[tex]a = 1[/tex] [tex]b = -5[/tex] [tex]c = -7[/tex]
Substitute these values of a, b and c in
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}[/tex]
[tex]x = \frac{5 \± \sqrt{25 +28}}{2}[/tex]
[tex]x = \frac{5 \± \sqrt{53}}{2}[/tex]
Split the expression to two
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
To solve further in decimal form, we have
[tex]x = \frac{5 + 7.28}{2}[/tex] or [tex]x = \frac{5 - 7.28}{2}[/tex]
[tex]x = \frac{12.28}{2}[/tex] or [tex]x = \frac{-2.28}{2}[/tex]
[tex]x = 6.14[/tex] or [tex]x = -1.14[/tex]
Find the simple interest earned for principal of $2,000 at and 8% rate for 5 years.
Answer:
$2800.00
Step-by-step explanation:
A total accrued amount 800 = principal (P) $2000 + interest (I)
R Rate of interest per year decimal - 0.08
X Rate of interest per year percentage - 8%
T time period months or years - 5 years
Equation will be A = P (1 + RT)
first convert X to R = percentage to decimal
X = R/100 = 8%/100 = 0.08 per year
Solving:
A = 2000 (1 + (0.08 x 5)) = 2800
A = $2800
Find the exact value of tan 5x/4. 1 - -1
Answer:
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Step-by-step explanation:
8/962365//*(789630)*****789456123=?
solve its for a test !
Answer:
7(%7/£122-;298;+92
Step:-by-st7(%7/£122-;298;+92ep explanation
What is -2(g+5) please help :)
Answer:
-2g -10
Step-by-step explanation:
On simplifing this expression we get,
-2(g+5)
=> -2g + (-10)
=> -2g - 10
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Answer:
-2g-10
Step-by-step explanation:
-2(g+5)
Use the distributive property to simplify the equation
(-2*g)+(5*-2)
(-2g)+(-10)
-2g-10
Hope this helps. Have a nice day. May it be filled with joy ad happiness. Please, be safe and wash your hands. Happy Holidays.
I need help please Will mark brainliest
Answer:
answer 1
78
answer2
89
answer3
12
answer4
21
Step-by-step explanation:
On a team, 6 girls and 5 boys scored a total of 57 points. The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Answer:
The number of points scored by girls = x = 7 points
The number of points scored by boys = y = 3 points
Step-by-step explanation:
The number of points scored by girls = x
The number of points scored by boys = y
On a team, 6 girls and 5 boys scored a total of 57 points.
6 × x + 5 × y = 57
6x + 5y = 57....... Equation 1
The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27.
6x - 5y = 27.......... Equation 2
6x + 5y = 57....... Equation 1
6x - 5y = 27.......... Equation 2
We Add the Equations together
12x = 84
x = 84/12
x = 7 points
6x + 5y = 57....... Equation 1
6(7) + 5y = 57
42 + 5y = 57
5y = 57 - 42
5y = 15
y = 15/5
y = 3 points
Hence:
The number of points scored by girls = x = 7 points
The number of points scored by boys = y = 3 points
PLEASE HELP 20 POINTS AND BRAINLIEST!!!! PLEASE HELP!!!!!
water is added or drained from a tank each day. The first day, 9/10 of a gallon is added to the empty tank. The second day, 7/10 of a gallon is drained from the tank. The third day, 8/10 of a gallon is added to the tank. The fourth day, 6/10 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by
9/10+(−7/10)+8/10+(−6/10)+⋯+3/10+(−1/10)+2/10.
Answer:
on the 15th day, there will be 14/10, or 7/5, or 1 2/5, or 1.4 of a gallon in the tank
Step-by-step explanation:
Question 5
3 pts
A map has a scale of 2 inches = 3 miles. If two towns are nine inches apart on the map, how
far are they actually apart?
O 13.5 miles
O 6 miles
O 13.5 inches
O 54 miles
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URGENTTTTTTTTTTTTTTT ASAP MARKING BRAINLIEST
Answer:
I would say B only IV because all of the others are assuming and there's no way to prove true or not.
Step-by-step explanation:
ANSWER THE QUESTION AND EXPLAIN plz
A school is going on a trip. There will be 5 busses to take the students. On each bus, there are 70 seats. Teachers will sit in 2 of the seats on each bus.
°How many seats are available for students on the busses?
A. 340
B. 68
C. 72
D. 350
Answer:
A: 340
Step-by-step explanation:
If there are five busses and 70 seats with two seats taken on two busses the steps are.
1. 5x70=350 this means there are 350 seats on the buses.
2. 5x2=10 this means there are 10 seats taken by the teachers.
3. 350-10=340 this means there are 340 available seats.
Answer: A: 340
a group of students organized a car wash to raise money for charity. The students charged 5$ for each car they washed. In 3 hours they washed 12 cars.At that rate, how many cars could they wash in 8 hours
Answer:
8hours=8/3×12=32cars
Step-by-step explanation:
Answer:
8hours=8/3×12=32cars
Step-by-step explanation:
Which table shows a proportional relationship?
b 2 3 8 9 14
c 4 6 16 18 28
x 1 2 3 4 5
y 4 5 6 7 8
r 2 3 4 5 6
s 3 5 6 8 9
p 1 3 5 7 9
q 3 7 11 15 19
it is b 2 3 8 9 14
c 4 6 16 18 28
i took the test
PLEASE HELP ME FIND X!!!!!!!!!! 50 POINTS
Answer:
96 this should help it it does. you are welcome if it does not do not get mad at me
Step-by-step explanation:
i just did it
can someone answer the questions on my page if so ill give all the correct answers brainlist.
PLA ANSWER I DONT KNOW THIS
Answer:
x=45
Step-by-step explanation:
I can give you two solutions
First solution:
In [tex]\triangle FBA[/tex] we know that
[tex]\angle BFA + \angle FAB + \angle ABF=180\\\\90+x+\angle ABF =180\\\\\angle ABF =90-x[/tex]
same case for [tex]\angle EBC[/tex] in [tex]\triangle ECB[/tex]
so we have that
[tex]\angle ABC = \angle ABF + \angle FBE +\angle EBC\\\\\angle ABC = 90-x+45+90-x\\\\\angle ABC = 180+45-2x[/tex]
we leave it like that because it's convenient
Now by properties of parallelograms we know that opposite sides add up to 180
[tex]\angle FAB + \angle ABC = 180\\\\x+180+45-2x=180\\\\x+45-2x=0\\\\45-x=0\\\\x=45[/tex]
so one angle is 45 and the other one is 135
Solution 2
if we look at DEBF we can say that it's a cyclic quadrilateral
because opposite sides add up to 180
in our case
[tex]\angle DFB = 180 -\angle BFA = 180-90 = 90\\\\\angle DEB = 90\\\\\Rightarrow \angle DFB + \angle DEB = 180\\\\[/tex]
so for the other to angles is also true
[tex]\angle FDE + \angle EBF = 180\\\\\angle FDE +45 = 180\\\\\angle FDE = 135[/tex]
so that's the measure of one angle of the parallelogram
the other angle x is
[tex]\angle EDF + \angle FAB = 180\\\\135+x=180\\\\x=45[/tex]
There you go choose yourself
Last sunday 1575 people visited the amusement park 56% was adults 16% were teenagers and 28% are children ages 12 and under find the number of adults teenagers and children that visited the park
Answer:
984 adults
281 teens
492 children
Step-by-step explanation: Multiply the total by the corresponding percentage to find the number. We assume the percentages have been rounded, so some adjustment is needed in the result of the multiplication.
{adults, teens, children} = 1757 × {.56, .16, .28} = {983.92, 281.12, 491.96}
≈ {984, 281, 492}
Answer:
984
492
281
Step-by-step explanation:
hope that helps
Write the value of 3 in the following number: 998.736I
Answer:
Hundreths 3 is in the hundreths
Step-by-step explanation:
Options and question in image <3
Answer:
-½(30) = -15
Step-by-step explanation:
Marta's pool decrees ½ inch each day, so that would be -½ each day. You would take that -½ and multiply it by 30 so you can find out the decrees in inches over 30 days so the equation would be -½ × 30 = -15 (im sorry if that didn't make sense)
Addison is going to invest in an account paying an interest rate of 3.1% compounded continuously. How much would Addison need to invest, to the nearest dollar, for the value of the account to reach $910 in 18 years?
Answer: $521
Step-by-step explanation:
Please help! I’ll give brainliest!
Answer:
8
Step-by-step explanation:
it would be 8 as 17 is on the y axis and then you go along the corridor and down the stairs and the dot is on 8
Answer:
8
Step-by-step explanation:
scale goes up in 2s
read from X axis
A shop keeper purchased 200 bulbs for Rs.10 each. However 5 bulbs were fused and had to
be thrown away. The remaining were sold at Rs.12 each. Find the gain or loss %
Answer: 17%
Step-by-step explanation:
A shop keeper purchased 200 bulbs for Rs.10 each. Therefore, the cost price:
= 200 × 10
= 2000
Since 5 bulbs were fused and had to
be thrown away and the remaining were sold at Rs.12 each. Therefore, selling price would be:
= 195 × 12
= 2340
Gain would be:
= 2340 - 2000
= 340
Gain percent would be:
= Gain / Cost price × 100
= 340/2000 × 100
= 17%
Which value of x makes the equation x + 7 = 21 true?
O A. 7
O B. 14
O c. 21
OD. 28
Answer:
b. 14
Step-by-step explanation:
PLZ HELP, GIVING BRAINLIEST!!!
Use the graph to state the intervals of increase and decrease. (Check pic below to find the graph and answer choices)
Answer:
B
Step-by-step explanation:
Pretty much what the solution says. Increasing from -∞ to 0, then 2 to ∞. Decreasing between 0 and 2.
Hope this helps!
What is the product of 3/5 and 10/11?
Answer:
6/11
Step-by-step explanation:
will give brainliest.
Which of the binomials below is a factor of this trinomial?
3x^2+16x+ 5
A- 3x-5
B. 3x-1
C. 3x+1
D. 3x+5
Answer:
option c
Step-by-step explanation:
The zeros of 3x+1
3x=-1
x=-⅓
plug in -⅓ into the trinomial. if it gives an answer of 0 then it's a factor
3(-⅓)²+16(-⅓)+5
=0
What triangle is this ????Pleaseeee helppp !!!!!!!!!! Will mark Brianliest correct answer !!!!!!!!!!!!!!
Answer: equilateral
Step-by-step explanation:
Answer:
equalateral (i know i spelled it wrong)
Step-by-step explanation:
they all have the same lengths -6.07-
The table below represents a linear function f(x) and the equation represents a function g(x):
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer:
Step-by-step explanation:
Part A
for f(x) slope between points (-1,-6) and (1,0)
m= y2-y1/x2-x1 = -6-0/-1-1 = -6/-2= 3
for g(x) slope m=4 because we compare to equation y=mx+b the given equation g(x)=4x-5
The slope of f(x) is 3 and the slope g(x) is 4 so the line of g(x) is steeper
part B
The y intercept for g(x) is (0, -5)
The equation of f(x) can be found
y-y1 =m(x-x1) take any point for example point (1,0)
y-1 =3(x-0)
y=3x+1 so the y-intercept is at (0,1)
The y-intercept for f(x) is greater at y=1 then the one of g(x) at y=-5
Wally-Mart buys bicycles for $25 and sells them for $45. What is the percent increase in the price?
Answer:
80% increase
Step-by-step explanation:
Determine whether the relation is a function. Quick EMERGENCY
Answer
no
Explanation
.
Answer:
Not a function
Step-by-step explanation:
A function is supposed to be one input, one output, and an input can't have two different answers. The input 3 wields two different answers, so it can't be a function
Identify the slope and y intercept in the equation y=25x + 32
Answer:
y= 57x
Step-by-step explanation:
25 + 32 = 57x y = 57x