Answer:
C
Step-by-step explanation:
We have the equation:
[tex]x^2-6x=10[/tex]
We can subtract 10 from both sides:
[tex]x^2-6x-10=0[/tex]
Since this equation isn't factorable, we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 1, b = -6, and c = -10.
Substitute:
[tex]\displaystyle x=\frac{-(-6)\pm\sqrt{(-6)^2-4(1)(-10)}}{2(1)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{6\pm\sqrt{76}}{2}[/tex]
Note that:
[tex]\sqrt{76}=\sqrt{4\cdot 19}=2\sqrt{19}[/tex]
Hence:
[tex]\displaystyle x=\frac{6\pm2\sqrt{19}}{2}=3\pm\sqrt{19}[/tex]
Therefore, our answer is C.
Solve 3/4w≤24 Graph the solution
Answer:
w<32
Step-by-step explanation:
3s(4+6)^2 is an example of
A. an algebraic equation
B. a numerical expression
c. a numerical equation
D. an algebraic expression
Answer:
the answer for this is D.
Step-by-step explanation:
it is a combination of letters operations and variables.But it is not equated (=) to something that is why it is not an algebraic equation.It is also not a numerical equation or numerical expression because it does not consist of only numbers.
3s(4+6)² is an example of an algebraic expression.
What is an algebraic expression?"An algebraic expression is an expression built up from integer constants, variables, and the algebraic operations."
The given expression is:
3s(4+6)²
The given expression is not an equation as it does not contain an equal sign. It is an expression.
Therefore, it is neither algebraic nor numerical equation.
Now, it contains a variable 's'.
Therefore, it is not a numerical expression.
Hence, the given expression is an algebraic expression.
Learn more about an algebraic expression here: https://brainly.com/question/19245500
#SPJ3
In triangle RST, mZR> m_S+ m2T. Which must be true of triangle RST? Check all that apply.
O mzR > 90°
OmZS + m2T < 90°
Om S = m_T
mZR>m_T
mZR > m_S
mzS>m_T
Answer:
m∠R > 90°
m∠S + m∠T < 90°
m∠R > m∠T
m∠R > m∠S
Step-by-step explanation:
Here, RST is a triangle
Therefore, m∠R+m∠S+m∠T = 180° ⇒ m∠S+m∠T = 180° - m∠R
Given: m∠R > m∠S + m∠T
⇒ - m∠R < - (m∠S + m∠T) (by multiplying -1 on both sides)
⇒ 180° - m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)
⇒ m∠S+m∠T < 180° - (m∠S + m∠T)
⇒ m∠S+m∠T+m∠S+m∠T < 180° (by adding m∠S + m∠T on both sides)
⇒ 2(m∠S+m∠T) < 180°
⇒ m∠S+m∠T < 90°
⇒ m∠R > 90° ( because m∠R+m∠S+m∠T=180° )
Again, m∠R > m∠S + m∠T
⇒ m∠R > m∠S and m∠R > m∠T
Thus, Option first, second, fourth and fifth are correct.
anyone know this? the box is just there when I have the answer so it's okay but I dont understand this anyone can help?
9514 1404 393
Answer:
1/10
Step-by-step explanation:
The product of fractions is the product of the numerators, divided by the product of the denominators.
[tex]\dfrac{1}{2}\text{ of }\dfrac{1}{5}=\dfrac{1}{2}\times\dfrac{1}{5}=\dfrac{1\times1}{2\times5}=\boxed{\dfrac{1}{10}}[/tex]
__
Additional comment
When working with fractions and percentages, you will find that "of" often means "times."
Which is a net for a cube
Answer:
wy m by that??!???? im confused
Chase is 7 years older than Zoe. In 4 years the sum of their ages will be 41. How old is chase now?
Answer:
Chase would be 24 years old
Simplify the expression:
7y+9+7–2y
Answer:
5y+16
Step-by-step explanation:
see image below:)
Answer:
5y+16
Step-by-step explanation:
like terms y and y
7y-2y
9+7
5y+16
Question 1 Simplify: 5!
Group of answer choices
5 120 80 20
Question 2 Simplify: 6!/3!
Group of answer choices
24 90 30 120
Question 3 Simplify: 12!/10! Group of answer choices 132 120 1320 12 Question 4 Simplify: {6! \times 5!}{4! \times 3!} 6!×5!4!×3!
Group of answer choices
60 55 600 5.5
Answer:
6535
Step-by-step explanation:
collect your own thinikng
Answer:
1. 120
2. 120
3. 132
4. 600
Rachel is solving the system of equations below by using the elimination method. Which of the following steps could she use? 7x-21y=14. 2x+3y=11
Answer:
[tex]7x - 21y = 14 - - - (a) \\ 2x + 3y = 11 - - - (b) \\ (a) + 7 \times (b) : \\ 21x + 0y = 91 \\ x = 4.33 \\ (2 \times 4.33) + 3y = 11 \\ 3y = 2.34 \\ y = 0.78 \\ { \boxed{x = 4.33}} \\ { \boxed{y = 0.78}}[/tex]
In square inches, what is the area of the composite shape?
**DO NOT INCLUDE LABELS IN YOUR ANSWER!
8 in.
X
8 in.
Answer:
40[tex]\pi[/tex]
or 125.66 rounded
Step-by-step explanation:
area of triangle:
1/2(b*h)
1/2(8*8)
1/2(64)
=32
area of half circle:
[tex]\pi r^{2}[/tex]/2
[tex]\pi r^{2}[/tex]/2
[tex]\pi 4^{2}[/tex]/2
[tex]\pi16[/tex]/2
[tex]\pi8[/tex] or 8[tex]\pi[/tex]
So, 8[tex]\pi[/tex] + 32=40[tex]\pi[/tex]
Question 21 of 25
Scientists release 10 frogs into a pond in year 0. Each year, there are 4 times
as many frogs as the year before. How many frogs are in the pond after x
years? Write a function to represent this scenario.
A. f() = 4(x) 10
B. f(x) = 10(2)
c. f(x) = 4(10)*
D. f(x) = 10(4)
SUBMIT
Step-by-step explanation:
answer is = D
D = f(x) = 10 (4)
What is the radius of C?
A planet rotates through one complete revolution every 26 hours. Since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 26 hours. Find the angular velocity of a person standing on the equator.
Answer:
23.5 degree stands tap of the floor
Eight less than the product of three and a number is twenty two
Answer:
let x represent the missing number
3x-8=22
3x=22+8
3x=30
3x/3=30/3
x=10
Step-by-step explanation:
hope this is helpful
Answer:
3x - 8 = 22
Step-by-step explanation:
always use x as "the number"
remember product means multiply!
8 less than the product of three and a number
3x - 8
lastly, "is 22"
"is" means equals
3x - 8 = 22
I hope this helps!!
what is the slope of a line between (-4,14) and (-16,8)
Answer:
[tex] \frac{1}{2} [/tex]
Step-by-step explanation:
slope :
[tex]slope \: = \: \frac{y2 - y1}{x2 - x1} = \frac{8 - 14}{ - 16 - - 4} = \frac{ - 6}{ - 12} = \frac{1}{2} [/tex] = 0.5
What value of x is in the solution set of 8x -
- 6 > 12 + 2x?
Answer:
x>2 (x=any number greater than 2)
Step-by-step explanation:
8x-6>12+2x
-2x -2x
6x-6>12
+6 +6
6x>12
/6 /6
x>2
:) ur welcome
(08.02 MC)
A pair of equations is shown below:
y = 2x − 1
y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answer:
Complete y = Mx + b
Step-by-step explanation:
write the equation in slope intercept form for the line that passes through the point (1,2) and has a slope of -5
Answer:
y = -5 × 1 + 2
Step-by-step explanation:
y = y, m = slope, x = x point given (1), b = y point given, unless a zero (2)Formula - y = mx + bPlug it iny = -5 × 1 + 2
I’m confused:/ can somebody help me??
Answer:
I got ya :D
the answer is
[tex] \binom{ - 18 \: \: \: 10 }{5 \: \: \: - 3} [/tex]
explanation in the attachment
A sum of J$300 is divided in the ratio 2 : 3. Calculate the amount of the LARGER share.
9514 1404 393
Answer:
J$180
Step-by-step explanation:
The ratio of the larger share to the total is ...
3 : (2 +3) = 3 : 5
Then the larger share is ...
(3/5)(J$300) = J$180
Write an exponential equation using y a(b) that
represents the growth or decay of the situation.
A house was purchased for $160,000. The house has an
annual appreciation rate of 8%. Please write a let statement
and an equation that represents the house's value over time.
Answer:
[tex]y = 160000 * (1.08)^t[/tex]
Step-by-step explanation:
Given
[tex]a = 160000[/tex] --- initial
[tex]r =8\%[/tex] --- rate
Required
The function over time
The function is calculated as:
[tex]y = a(1 + r)^t[/tex]
So, we have:
[tex]y = 160000 * (1 + 8\%)^t[/tex]
Express percentage as decimal
[tex]y = 160000 * (1 + 0.08)^t[/tex]
[tex]y = 160000 * (1.08)^t[/tex]
Calculate the remaining values:c d =
Step-by-step explanation:
of what ? there is nothing here to work with.
Answer: C = 12 D = 8
Step-by-step explanation:
At the school carnival, students can buy tickets in packs of 10. Each pack
of 10 tickets can be used for food or games. Use the coordinate grid below to
determine how many packs of tickets a student can purchase for $27.00.
Answer:
6 packs
Step-by-step explanation:
The answer is 6 packs of tickets. The reasoning behind this is that the graph literally states it. If you go to the side of the graph that shows how much money they spend, and look at 27 you can see that they bought 6 packs of tickets for 27 dollars. If you wanna know how to solve it like mathematically you really wouldn't need to but you can see that if you were to buy 2 packs of tickets it would be 9 dollars (according to the graph) which if we divide 9 by 2 you figure out that for one pack of tickets its $4.50. Then you could easily just divide 27 by 4.5 and you would be left with 6, the answer. Again though u really don't need to do that the graph shows it for you so these questions should be pretty easy. Hope this helped! (also sorry I'm not the best at explaining things but I tried, Goodluck!!) :)
Write the equation for the graph of y = | x | translated left 4 units
Answer: y = |x+4|
Explanation:
Imagine that the graph of y = |x| is carved in stone so it cannot move. What we can move though is the xy axis. If we move the xy axis 4 units to the right, then this gives the illusion the V shaped curve is moving 4 units to the left. It goes opposite whatever movement you do to the xy axis.
If we replaced x with x+4, then this moves the xy axis 4 units to the right.
Therefore, going from y = |x| to y = |x+4| will have the V shaped curve moving 4 units to the left.
Find the exact value of tan 60° in simplest form with a rational denominator.
Step-by-step explanation:
We need to find the exact value of tan 60° in simplest form with a rational denominator.
We know that, [tex]\tan\theta=\dfrac{\sin \theta}{\cos\theta}[/tex]
Here, [tex]\theta=60^{\circ}[/tex]
So,
[tex]\tan(60)=\dfrac{\sin (60)}{\cos(60)}\\\\=\dfrac{\dfrac{\sqrt3}{2}}{\dfrac{1}{2}}\\\\=1.73\\\\or\\\\=\dfrac{173}{100}[/tex]
Hence, this is the required solution.
Which of the following equations represents a parabola that opens up and has a vertex with a negative x-value? A. y=-2x^2+8 B. y=-x^2-5x-4 C. x^2+10x+24 D. x^2-7x+12
Answer:
C
Step-by-step explanation:
Open up = positive number that multiplies x^2
x - value of the vertex = -b/2a
C -> -10/2 = -5
Researchers recorded that a group of
bacteria grew from 125 to 2,500 in 24 hours. At this
rate of growth, how many bacteria will there be
in 35 hours from the start of the experiment? Round
to the nearest whole number.
Answer:
The number of bacteria grown in 35 hours is 15771
Step-by-step explanation:
It is given that,
Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours.
Therefore, the bacteria has grown from 100 to 7000 in 14 hours.
To calculate number of bacteria grown in 14 hours :
⇒ 7000 - 100 = 6900
6900 bacteria grows in 14 hours. We need to find out the growth of bacteria in 1 hour in order to calculate its growth in 32 hours.
To calculate number of bacteria grown in 1 hour :
⇒ Total bacteria growth in 14 hours / 14
⇒ 6900 / 14
⇒ 492.85
To calculate number of bacteria grown in 32 hours :
⇒ 492.85 × 32
⇒ 15771.2
⇒ 15771 (rounded to nearest whole number)
∴ The number of bacteria grown in 32 hours is 15771
Hope this answer helps you :)
Have a great day
Mark brainliest
61,229 rounding this
9.
Los conjuntos de parejas ordenadas son ejemplos de funciones, excepto:
A) {(1, 1), (2, 1), (3, 1).(4.1).(5, 1))
B) ((0, 1). (1.2). (2,4), (3.9). (4.16))
C) f(-2, 1), (-1,0), (0, 1).(-1,2), (2, 2))
D) ((-2,-3), (-1,-1). (0, 1), (1,3). (2.5))
Una función se define como un conjunto de parejas ordenadas (x, y) donde no se repite el valor de "x" (corresponde al dominio de la función) En el caso específico del ejercicio, la alternativa C no corresponde con una función ya que tienen dos parejas con el mismo valor de "x": {(-2,1), (-1,0), (0,1), (-1,2), (2,2)} Estos pares están en negrita, y el valor repetido subrayado.
Measurement of angle q
Answer:
34º
Step-by-step explanation:
The sum of the angles in a triangle is 180º
m∠Q = 180 - 90 - 56
m∠Q = 34º
