[tex]x^2+2x+12[/tex]
This cannot be factored because you can'y take a number out.
This is factoring. [tex]6x^2+4x+10=2(3x^2+2x+5)[/tex]
This is not factoring. [tex]x^2+5x+96=1(x^2+5x+96)[/tex]
Hope this helps. :)
write these numbers in standard form
1. 200,000
2. 80,000
3. 900,000,000
4. 10,000,000,000
Answer:
1. 2 × 10⁵
2. 8 × 10⁴
3. 9 × 10⁸
4. 1 × 10¹⁰
Step-by-step explanation:
Can someone figure this out for me?
Answer:
44°
Step-by-step explanation:
cos B = 0.7193 = 44°
Does the rule y = −2 · 2x represent a linear or an exponential function?
Exponential
2x2+12x-54
please help I need the two factors of these numbers
Answer:
2
2
+
1
2
−
5
4
2
(
2
+
6
−
2
7
)
Step-by-step explanation:
What is 2x+7y=28 in slope intercept form
Answer:
y = -2/7x + 4
Find the area of the figure. please have an explanation
Answer:
Step-by-step explanation:
[tex]\text{The area of a circle is }\pi r^2\text{ so the area of half a circle is }\frac{\pi r^2}{2}\\ \\ A=\frac{\pi 11^2}{2}\\ \\ A=\frac{3.14(121)}{2}\\ \\ A\approx 189.97cm^2[/tex]
Answer:
760.25
Step-by-step explanation:
The formula for the surface area of a sphere is A=4πr².
r=the radius, or half of the diameter, of the circle.
when you plug in the radius and answer the formula, you should get 1520.5.
You should then divide it by 2 since we are trying to find half of the circle.
Jamie says that these terms would simplify to 3ly.
Leslie says the terms would simplify to 7y.
Who do you agree with and why?
Answer:
I agree with Leslie. You must add the first terms to get 19y. then when you add -12y, you subtract 12y from 19y to get 7y.
Step-by-step explanation:
17y + 2y - 12y = 19y - 12y = 7y
Answer: I agree with Leslie. You must add the first two terms to get 19y. Then when you add -12y, you subtract 12y from 19y to get 7y.
Joey earns a weekly salary of $325 plus a commission on his total sales. Last week his sales were $2950, and he earned a total of $915. What was his commission rate?
Answer:
Commission rate is 20%.
Step-by-step explanation:
Joey's weekly salary is $325
Plus a commission on his total sales.
Let commission is x% on his total sales.
So, we can set up equation for the given information as
325+x%(2950)= 915
Solve this equation for x%.
Subtract both sides 325
x%(2950) =590
Divide both sides by 2950
x%=0.2
We know x% means it is [tex]\frac{x}{100}[/tex]
So, [tex]\frac{x}{100} =0.2[/tex]
Multiply both sides by 100
x=20%.
So, commission rate is 20%
Write the equation of the line shown on the graph in slope-intercept form.
Remember Slope-Intercept Form is y=mx+b
Answer:
[tex]y = x -3[/tex]
Step-by-step explanation:
1) First, find the slope by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. We can see that the two points marked on the line are (0, -3) and (3,0). So, substitute the x and y values of those points into the formula and solve:
[tex]m = \frac{(0)-(-3)}{(3)-(0)} \\m = \frac{0+3}{3-0} \\m = \frac{3}{3} \\m=1[/tex]
So, the slope is 1.
2) Slope-intercept form is represented by the formula [tex]y = mx+b[/tex]. Substitute values for [tex]m[/tex] and [tex]b[/tex] in order to write an equation.
Substitute 1 for [tex]m[/tex] since it represents the slope. Substitute -3 for [tex]b[/tex] since it represents the y-intercept. (Remember that the y-intercept is the point at which the line intersects the y-axis. So, by looking at the graph provided, we can see that (0,-3) is the y-intercept without doing any calculations.) This gives the following answer:
[tex]y = x -3[/tex]
The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true?
A. The sum of the areas of Square N and Square L is equal to the area of Square K.
B. The sum of the areas of Square N and Square L is greater than the area of Square K.
C. The sum of the areas of Square N and Square K is equal to the area of Square L.
D. The sum of the areas of Square N and Square K is less than the area of Square L.
Answer: C
Step-by-step explanation: Because I said soooaiahi
help it is due tomorrow morning
Answer:
Diego is moving quickly.
Step-by-step explanation:
Noah and Diego are moving with the constant speed.
But their speeds are different which will be decided by the slope of the lines given in the graph.
Slope of the line representing Noah speed = [tex]\frac{\text{Distance covered}}{\text{Time elapsed}}[/tex]
Since, line for Noah has less slope than line for Diego, speed of Diego will be more.
Therefore, Diego is moving quickly.
There are $15$ gymnasts in the Olympic women's competition, including $4$ Americans. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded to three of the $15$ gymnasts, if exactly one of the Americans wins a medal?
Answer:
There are 220 ways by which the medals can be awarded to three of the 15 gymnast, if exactly one of the Americans wins a medal
Step-by-step explanation:
From the question, we have;
The number of gymnast in the Olympic women's competition = 15
The number of the gymnast who are Americans = 4
The number of medals awarded = 3 medals
The number of ways hat the medals can be awarded to the three of the gymnast if exactly one of the Americans wins a medal is given as follows;
The number of ways one of the medals can be won by one of the four Americans = ₄C₁ = 4 ways
The number of ways the other two medals can be won by the remaining 11 gymnast = ₁₁C₂ = 55 ways
Therefore, the total number of ways, 'N', the medals can be awarded to three of the 15 gymnast, if exactly one of the Americans wins a medal is given as follows;
N = ₄C₁ × ₁₁C₂
∴ N = 4 × 55 = 220
Hurry plz help plz don't do this for the points i will mark brainliest if given correct answer. For this item, complete the choice matrix by clicking the appropriate answer in each row.
Consider polygon
UVWXY
Polygon UVWXY is reflected across the y-axis to form polygon U′V′W′X′Y′. Determine the measures of the following angles.
Determine the measures of the following angles.
m∠V′
m∠X′
m∠Y'
the measurements are 76∘, 102∘, 133∘, and 136∘ match the measurement to the angles when reflected across the y-axis
Answer:
m<v' is 133 m<x' is 102 m<y' is 136
Step-by-step explanation:
when reflecting the shape doesn't change shape or size so the angle measure will stay the same
Geometric mean
Pls help thank u
Answer:
Step-by-step explanation:
1). Geometric mean of a and b = [tex]\sqrt{a\times b}[/tex]
Therefore, geometric mean of 2 and 50 = [tex]\sqrt{2\times 50}[/tex]
= 10
2). By geometric mean theorem,
[tex]\frac{JM}{KM}=\frac{KM}{ML}[/tex]
[tex]\frac{6}{e}=\frac{e}{24}[/tex]
e² = 6 × 24
e = √144
e = 12
Similarly, [tex]\frac{JL}{KJ}=\frac{KJ}{JM}[/tex]
[tex]\frac{6+24}{d}=\frac{d}{6}[/tex]
d² = 6 × 30
d = √180
d = 6√5
And [tex]\frac{JL}{KL}=\frac{KL}{ML}[/tex]
[tex]\frac{6+24}{c}=\frac{c}{24}[/tex]
c² = 30 × 24
c = √720
c = 12√5
Am I right? Giving 60 points and Brainliest.
Answer:
60 points is the right answer
Step-by-step explanation:
Answer:
ya
Step-by-step explanation:
Name a plane parallel to plane DEF.
Step-by-step explanation:
angle ABC is a parallel to angle DEF
Answer:
If you give me options and a picture I can help.
Step-by-step explanation:
If not the question makes no sense
WILL GIVE BRAINLIEST!
Two angles of a triangle measure 45° and 87°. Find the measure of the third angle, in degrees. (Enter an exact number.)
°
Answer:
48
Step-by-step explanation:
All the angles of a triangle add up to 180
180-45-87=48
Hope this helps! If it did, please mark it brainliest!
P.S. Make sure not to fall for the link scams ;)
i’ll give you brainliest
Select all the trigonometric values that are equivalent to 1/2.
Answer choices: tan 30°, cos 60°, sin 30°, tan 45°, sin 45°, cos 45°.
Answer:
sen 30; cos 60
Step-by-step explanation:
The mean heigh of American Males is 69.5 inches. The height of the 43 male presidents have a mean 70.78 inches and a standard deviation of 2.77 inches. Treating the 43 presidents as a simple random sample, determine if there is evidence to suggest that the US presidents are taller than the average American male. Use the a= 0.05 level of significance.
Answer:
There is sufficient statistical evidence to suggest that the US presidents are taller than the average American male
Step-by-step explanation:
The given parameters are;
The mean height of American Males, μ = 69.5 inches
The mean height of 43 male presidents, [tex]\overline x[/tex] = 70.78
The standard deviation, s = 2.77 inches
The number of male presidents = 43
The null hypothesis; H₀ μ = [tex]\overline x[/tex]
The alternative hypothesis; Hₐ μ ≠ [tex]\overline x[/tex]
The significance level, α = 0.05
The t test for the sample with unknown population standard deviation is given as follows;
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]
Therefore, we have;
[tex]t=\dfrac{70.78-69.5 }{\dfrac{2.77 }{\sqrt{43}}} \approx 3.0302[/tex]
The degrees of freedom, df = n - 1 = 43 - 1 = 42
The critical 't' value = 2.0181
Therefore, given that the t test value is larger than the critical-t, we reject the null hypothesis, therefore, there is sufficient statistical evidence to suggest that the US presidents are taller than the average American male
3 for performance, 5 for voice, 5 for participation, and 11 for dance. She randomly picks a trophy for show and tell day at school. What is the probability it will be for dance?
Please help!
(Vieta's Formulas) Let [tex]r[/tex], [tex]s[/tex], and [tex]t[/tex] be solutions to the equation [tex]$2x^3 - 3x^2 + 4x - 1 = 0$[/tex]. Find [tex]$r^2+s^2+t^2$[/tex].
Please include an explanation as well :)
We are given the polynomial:
2x³ - 3x² + 4x - 1 = 0
We need to find the value of r² + s² + t² where r,s,t are the solutions.
Simplifying r² + s² + t²:
r² + s² + t² = (r + s + t)² - 2(rs + st + rt)
[since a²+b²+c² = (a+b+c)² - 2(ab + bc + ca)]
Using the Vieta's formulae:
Above, we can see that in order to find the value of r² + s² + t², we need to find the value of the sum of solutions and sum of solutions taken 2 at a time.
Sum of roots:
We know that the Vieta's formula to find the sum of roots is:
Sum of roots = [tex]-\frac{b}{a}[/tex]
Where b and a are the coefficients from the general form: ax³ + bx² + cx - d
We notice that for the given equation, b = -3 ; a = 2
Sum of roots = [tex]-(\frac{-3}{2})[/tex]
Sum of roots = [tex]\frac{3}{2}[/tex]
Hence, the sum of roots (r + s + t) = 3/2
Sum of roots taken two at a time:
We know that the Vieta's formula to find the sum of roots taken 2 at a time is: Sum of roots taken 2 at a time = [tex]\frac{c}{a}[/tex]
Where c and a are the coefficients from the general form: ax³ + bx² + cx - d
for the given equation, c = 4 ; a = 2
Sum of roots taken 2 at a time = [tex]\frac{4}{2}[/tex]
Sum of roots taken 2 at a time = 2
Hence, the sum of roots taken 2 at a time (rs + st + rt) = 2
Finding the value of r² + s² + t²:
We proved before that:
r² + s² + t² = (r + s + t)² - 2(rs + st + rt)
now that we know the values of (r + s + t) and (rs + st + rt), we can plug those values to get our answer
r² + s² + t² = ([tex]\frac{3}{2}[/tex])² - 2(2)
r² + s² + t² = ([tex]\frac{9}{4\\}[/tex]) - 4
r² + s² + t² = [tex]\frac{9 - 16}{4\\}[/tex]
r² + s² + t² = [tex]\frac{-7}{4}[/tex] = -1.75
Hence, the value of r² + s² + t² is -1.75
-2.5 x 3 = with shown work pls
Answer:
7.5
Step-by-step explanation:
-2.5 x 3 = 7.5
Answer:-7.5
Step-by-step explanation:
(−2.5)(3)
=−7.5
A polygon on a coordinate grid was transformed using the rule (x,y) -> (x-4,y-3). Which of these describes this transformation?
A: a translation 4 units to the left and 3 units down
B: a translation 4 units to the right and 3 units down
C: a translation 4 units to the left and 3 units up
D: a translation 4 units to the right and 3 units up
Evaluate using P E M D A S 2 x 3 + 4
Step-by-step explanation:
We would do multiplication first, because of order of operations.
2x3=6
Now we add.
6+4=10
hope it helps! :3
Felix is designing a clock. He sketches the design on a coordinate grid. He graphs the shape of the clock with the vertices (–8, 6), (8, 0), and (8, 6 ). Which statement describes the shape of the clock? The shape has three sides. The shape is a quadrilateral. The shape is a circle. The shape has six sides.
Answer:
A. The shape has three sides
Step-by-step explanation:
Hope this helps, have a great day
The solution is Option A.
The shape of the clock is having three sides and it represents a triangle
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the shape of the clock be represented as A
Now , let the coordinates of the clock be
The first coordinate point of clock P = P ( -8 , 6 )
The second coordinate point of clock Q = Q ( 8 , 0 )
The third coordinate point of clock R = R ( 8 , 6 )
So , there are three sides to the clock with three coordinate points
The figure represents a triangle with 3 sides
Therefore , the value of A is a triangle
Hence , the figure represents a triangle
To learn more about triangles click :
https://brainly.com/question/16739377
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Solve the system.
y = 3x + 1
-x + 2y = -3
-3, -3
,........... .......
the Arizona Cardinals won nine games and lost seven games what is the ratio of the game won to games lost?
Answer:
9;7
Step-by-step explanation:
Which of the following is always true about the expression 5 x 1/4?
Answer: c. When a > 0 and b > 1, the function models exponential growth.
You have exponential decay when a > 0 and 0 < b < 1.
Step-by-step explanation:
8) A bag contains 5 red marbles and
4 blue marbles. Find the probability of
drawing a blue marble, keeping it, and
drawing another blue marble. Write the
probability as a fraction in simplest form.
2/3
Step-by-step explanation:
the anwser would be either 2/3 or 1/3
If TRAP is an isosceles trapezoid, what is the value of X?
6x"
(2x + 4)"
Answer:
The answer is 22.
Step-by-step explanation:
6x+2x+4=180
8x+4=180
8x=176
x=22