By Factoring And Using Quadratic Formula x raise to two minus 10x is equals to negative 21
Answer:
[tex]x =3[/tex] or [tex]x = 7[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 10x = -21[/tex]
Required
Solve by factoring & quadratic formula
By Factoring:
[tex]x^2 - 10x = -21[/tex]
Equate to 0
[tex]x^2 - 10x +21 = 0[/tex]
Expand:
[tex]x^2 - 7x -3x+21 = 0[/tex]
Factorize:
[tex]x(x-7)-3(x-7) = 0[/tex]
[tex](x-3)(x-7) = 0[/tex]
[tex]x -3 = 0[/tex] or [tex]x - 7 = 0[/tex]
[tex]x =3[/tex] or [tex]x = 7[/tex]
By quadratic
[tex]x^2 - 10x = -21[/tex]
Equate to 0
[tex]x^2 - 10x +21 = 0[/tex]
For
[tex]ax^2 + bx + c = 0[/tex]
x is solved using:
[tex]x = \frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
where
[tex]a = 1[/tex]; [tex]b = -10[/tex]; [tex]c = 21[/tex]
So:
[tex]x = \frac{-(-10)\±\sqrt{(-10)^2-4*1*21}}{2*1}[/tex]
[tex]x = \frac{10\±\sqrt{100-84}}{2}[/tex]
[tex]x = \frac{10\±\sqrt{16}}{2}[/tex]
[tex]x = \frac{10\±4}{2}[/tex]
Split
[tex]x = \frac{10+4}{2}[/tex] or [tex]x = \frac{10-4}{2}[/tex]
[tex]x = \frac{14}{2}[/tex] or [tex]x = \frac{6}{2}[/tex]
[tex]x = 7[/tex] or [tex]x =3[/tex]
In a survey of 3400 people who owned a certain type of car 2210 people said they would buy the type of car again what percent of the people surveyed were satisfied with the car? Plz help me! :)
-1
A line's y-intercept is 0, and its slope is
20
What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
Answer:
y=20x
Step-by-step explanation:
do do I intercept a zero, so you don't have a "b"
The slope is 20. that's pretty self-explanatory
Kyra is participating in a fundraiser walk a-thon . She walks 2 miles in 30 minutes . If she continues to walk the same rate , determine how many minutes it will take her to walk 7 miles
Answer:
2 miles in 30 minutes
1 miles in 15 minutes
7 miles in 105 minutes
Thank you and please rate me as brainliest as it will help me to level up
Answer:
Step-by-step explanation:
$&+!8
Fedex typically deleviers 2,400 packages per day and uses 75 trucks for delivery. If the number of trucks used per day is proportional to the number of packages delivered, how many packages would be delivered if there are 100 trucks avilable?
A 3.200 packages
B 1.800 packages
Answer:
A
Step-by-step explanation:
Hannah needs to calculate the cotangent of an angle. She uses the ratio
opposite leg
for her calculation. Did Hannah correctly calculate the cotangent of the angle?
adjacent leg
A
B.
Yes, Hannah correctly calculated the cotangent of the angle.
adjacent leg
No, Hannah should have used the ratio
opposite leg
hypotenuse
No, Hannah should have used the ratio
opposite leg
O c.
D.
No, Hannah should have used the ratio
adjacent leg
hypotenuse
Answer:
B. No, Hannah should have used the ratio [tex] \frac{adjacent}{opposite} [/tex]
Step-by-step explanation:
✍️The formula for calculating cotangent of an angle is given as:
[tex] cot = \frac{adjacent}{opposite} [/tex].
The ratio, [tex] \frac{opposite}{adjacent} [/tex], used by Hannah is the formula for calculating tangent of an angle.
Therefore, Hannah did not calculate the cotangent of the angle correctly.
She should have used, the ratio, [tex] \frac{adjacent}{opposite} [/tex] instead.
A family ordered two pizzas for dinner. They ate 1/2 of the first pizza and
1/4 of the second pizza. How much more of the first pizza did they eat?
A)1/2
B)1/4
C)1/8
D)3/4
Answer:
they ate 3/4 part of pizza
Step-by-step explanation:
=1/2+1/4
=1×2/2×2 + 1/4
=2/4+1/4
=3/4
Answer:
B) 1/4 because if the pizzas have 8 slices then 1/4=2 slices and 1/2=4 slices 4-2=2 and 2 slices equal 1/4 of the pizza.
Step-by-step explanation:
Hope it helps!
Have a good day/night :)
Brainliest pls?
There are 36 tickets sold for a raffle for the Student Art Auction, and there are two prizes to be awarded. Dionte buys two tickets, find the probability that he will win both pris(Round your answers to five decimal places.)
Given :
There are 36 tickets sold for a raffle for the Student Art Auction, and there are two prizes to be awarded.
Dionte buys two tickets.
To Find :
The probability that he will win both price.
Solution :
Number of prizes available, p = 2
Probability of getting price from first draw :
[tex]P_1=\dfrac{2}{36}\\\\P_1=\dfrac{1}{18}[/tex]
Probability of getting price from second draw if he won first prize :
[tex]P_2=\dfrac{2-1}{36-1}\\\\P_2=\dfrac{1}{35}[/tex]
So, probability of winning both prize :
[tex]P=P_1\times P_2\\\\P=\dfrac{2}{36}\times \dfrac{1}{35}\\\\P=0.00159[/tex]
Therefore, probability of winning both prize is 0.00159 .
Hence, this is the required solution.
Which graph shows the solution set of the compound inequality 1.5 x minus 1 greater-than 6.5 or 7 x + 3 less-than negative 25?
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded between the two circles.
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.
A number line goes from negative 10 to positive 10. An open circle appears at negative 4. The number line is shaded from negative 4 toward negative 10.
A number line goes from negative 10 to positive 10. An open circle appears at positive 5. The number line is shaded from positive 5 toward positive 10.
Answer:
After solving the compound inequality [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex] we get [tex]\mathbf{x>5 \ or \ x<-4}[/tex]
Option B is correct.
Step-by-step explanation:
We are given compound inequality: [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex]
We will first solve the inequalities to find the value of x, then will draw the graph.
[tex]1.5x-1>6.5 \ or \ 7x+3<-25\\1.5x-1+1>6.5+1 \ or \ 7x+3-3<-25-3\\1.5x>7.5 \ or \ 7x<-28\\x>\frac{7.5}{1.5} \ or \ x<\frac{-28}{7}\\x>5 \ or \ x< -4[/tex]
So, after solving the compound inequality [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex] we get [tex]\mathbf{x>5 \ or \ x<-4}[/tex]
Now, the number line will be as shown in figure.
The description as given in options is:
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.
so, Option B is correct.
Answer:
the answer is b
Step-by-step explanation:
2020 edge
2(t+1)=10 what does t equal
Answer:
t = 4
Step-by-step explanation:
1. 2*t = 2t
2. 2*1 = 2
3. 2t+2 = 10
4. 10-2 = 8
5. 2t = 8
6. 8/2 = 4
7. t = 4
Answer:
t = 4
Step-by-step explanation:
2(t + 1) = 10
2t + 2 = 10
2t = 10 - 2
2t = 8
t = 8 ÷ 2
t = 4
-TheUnknownScientist
If the weight of a package is multiplied by 3/4 the result is 54 pounds find the weight of the package?
Answer:
72
Step-by-step explanation:
In order to find the solution to this problem, you would first need to divide 54 by 3, than multiply by 4. You could also multiply 54 by the reciprocal of 3/4, which is 4/3.
what is Negative 5 and StartFraction 5 over 8 EndFraction + 3 and one-half
Negative 3 and StartFraction 1 over 8 EndFraction
Negative 2 and one-half
Negative 2 and StartFraction 1 over 8 EndFraction
Negative StartFraction 7 over 8 EndFraction
Answer:
its c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
i got it right
Solve the following equation
5x + 2 = 4x - 1
Answer:
x=-3
Step-by-step explanation:
Solve for x:
5x+2=4x−1
Move all terms containing x to the left side of the equation.
x+2=−1
Move all terms not containing x to the right side of the equation.
x=−3
what’s 5 x 1/8? please explain how to do this problem too :)
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]\frac{5}{1}[/tex] × [tex]\frac{1}{8} = \frac{5}{8}[/tex]I hope this helps!
Answer:
5/8 or 0.625
Step-by-step explanation:
multiply the numerator so that equals 5
multiply the denominator so that equals 8
the fraction answer is 5/8
the decimal answer is 0.625; this is because when you divide 5 and 8, you get 0.625
if you need more explanation, 5/1 times 1/8
just multiply across the top and bottom to get your answer
The sum of three times a number and 2.
Answer:
3x+2
Step-by-step explanation:
3 times (multiply by 3)
"the number" is unknown so that would be x
and 2 is basically adding 2 to the equation so
3x+2
divide 25/1658 To find the quotient, start by dividing _
into _.
Answer:
To find the quotient, you must start by dividing 25 into 1,658.
Step-by-step explanation:
Find the value of z. Then find the value of the interior angles
Step-by-step explanation:
[tex] \because \angle JKM [/tex] is the exterior angle of [tex] \triangle KLM [/tex]
[tex] \therefore [/tex] by remote interior angle theorem of a triangle, we have:
[tex] m\angle L + m\angle M = m\angle JKL \\\\
(18z + 3)\degree + (5z - 3)\degree = 161\degree \\\\
(18z + 3+5z - 3)\degree = 161\degree \\\\
(23z)\degree = 161\degree \\\\
23z = 161\\\\
z = \frac{161}{23} \\\\
\huge \red {\boxed {z = 7}} \\\\
\because \measuredangle L = (18z +3)\degree \\\\
\therefore \measuredangle L = (18\times 7+3)\degree \\\\
\therefore \measuredangle L = (126+3)\degree \\\\
\huge\purple {\boxed {\therefore \measuredangle L = 129\degree}} \\\\
\because \measuredangle M = (5z - 3)\degree \\\\
\therefore \measuredangle M= (5\times 7-3)\degree \\\\
\therefore \measuredangle M = (35-3)\degree \\\\
\huge\orange {\boxed {\therefore \measuredangle M = 32\degree}} \\\\[/tex]
A rock is 7 feet below the surface of a river. If its position can be recorded as -7, what would the position of 0 represent?
A. On the surface of the river
B. At the bottom of the river
C. 7 feet above the surface of the river
D. 7 feet below the surface of the river
25 POINTS!!!
Need Help! Find x, y, and z!
x³+y³+z³=k
Answer: N/A
Step-by-step explanation: you would need K in order to find the value of X,Y,Z
Answer:
If k = 99
then
x = 8
y = 27
z = 64
Step-by-step explanation:
You have to use a different number for each letter so you can but in any combination the answer just has to make sense as in you added up x, y, and z to get k.
7h + 3 = 7(2+h) -11
this is my question
Answer:
Step-by-step explanation:
7h+3=7(2+h)-11
7h+3=14+7h-11
7h+3=7h+3
The answer is 0 or no solution since they cancel each other out.
After taking the interest formula (I=Prt) and solving the equation for t, how many years will it take to earn $80 in interest (I) if I initially invest $500 (P) and my interest rate (r) is 4%? (Don't forget to change your percentage to a decimal!)
t=
Answer:
hehehe
Step-by-step explanation:
hehehe
A section of a railway has a slope of approximately 0.47. In this section, a vertical change of 1 unit corresponds to a horizontal change of what length? Round your answer to the nearest hundredth.
Step-by-step explanation:
A slope of 0.47 means that, for every 100 feet of horizontal change, the vertical rise = 47 feet
We can use a proportion here
0.47 / 1 = 1 / x
Cross-multiply
0.47x = 1*1
0.47x = 1
Divide both sides by 0.47
x = about 2.13 units
Choose the correct answer to 992/16.
Answer:
62
Step-by-step explanation:
How many times can 16 go into 992.
16*10 = 160
16*50 = 800
Now you have 960
16*2 = 32
Now you have 996
Hope this helps ya!!
-8m - 12 > -5(m - 8) – 3(m - 7)
Write the solution to the inequality
Answer:
No answer.
Step-by-step explanation:
- 8m - 12 > -5m + 40 - 3m + 21
combine terms
-8m - 12 > -8m +61
add 8m to both sides
-12 > 61
negative 12 is not greater than 61
HELP ASAP WILL GIVE BRAINLEIST
Solve for x in the diagram below
Answer:
X=20 3x=60
Step-by-step explanation:
a straight line is 180
180-100=80
4x=80
x=20
We can create a equation to solve for x here.
We will use the following equation:
100 + 3x + x = 180How to solve it step-by-step
[tex]100 + 3x + x = 180\\\\100 + 4x = 180\\\\4x = 80\\\\x = 20[/tex]
what does rise over run mean in math?
Answer:The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point. On the graph, that would mean a change of x values.
Step-by-step explanation:
PLS HELP ME ASAPP!!! :((
Which situation represents a proportional relationship?
A. The cost of purchasing grapefruit for $ 1.80 per pound with a coupon for $ 1.00 off the total cost
B. The cost of purchasing a basket of oranges for $1.30 per pound plus $5.00 for the basket
C. The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound
D. The cost of purchasing peaches for $7.00 per box of peaches with a delivery charge of $3.00
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Ratio and Proportion.
C.) The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound.
is the Correct answer.
Option C.)
Answer:
D.) The cost of purchasing peaches for $7.00 per box of peaches with a delivery charge of $3.00
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
the price of a televison 245 . the sales tax is 8%. what is the amount of sales tax?
Answer:
the sale tax is 19.60
Step-by-step explanation:
245*0.08=19.60
Answer:
19.6
Step-by-step explanation:
8 percent *245 =
(8:100)*245 =
(8*245):100 =
1960:100 = 19.6
1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )
plz hurry
5/7 = a/35 what is the answer ?
Answer:
hello! I am pretty sure the missing number is 25!
Step-by-step explanation:
Here is why I think so, I believe that because it seems to me that you are multiplying 7 by 5 so I think that you should multiply 5 by 5 and if you do that it is 25. Hope this helps!