Solve this linear equation. Show all workings
[tex]~~~~~~3x^2 +2x -1 = 0\\\\\implies 3x^2 +3x -x -1 = 0\\\\\implies 3x(x+1) - (x+1)=0\\\\\implies (x+1)(3x-1) = 0\\\\\implies x = -1,~~ x = \dfrac 13[/tex]
what are the roots of x^2+7x+12
A:6&2
B:-6&-2
C:3&4
D:-3&-4
Answer:
D
Step-by-step explanation:
x² + 7x + 12
to find the roots equate the expression to zero
x² + 7x + 12 = 0
Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)
the factors are + 3 and + 4 , since
3 × 4 = 12 and 3 + 4 = 7 , then
(x + 3)(x + 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 4 = 0 ⇒ x = - 4
Answer:
D -3, -4.
Step-by-step explanation:
x^2 + 7x +12 = 0
12 = 3*4 and 7 = 3 + 4 so we write:
(x + 3)(x + 4) = 0
x + 3 = 0 , x + 4 = 0
So x = -3, -4.
How many ways can a president, vice president, and secretary be selected from a class of 30 students? a. 90 b. 2,068 c. 4,060 d. 24,360
Answer:
the answer to your question should be 2,068
Step-by-step explanation:
i hope i am right but i think so
what is the slope of the line 6x+5y=10 ?
Answer:
[tex]-\dfrac 65[/tex]
Step-by-step explanation:
[tex]~~~~~~~6x +5y = 10\\\\\implies 5y = 10-6x\\\\\implies y = \dfrac 15(10-6x)\\\\\implies y=-\dfrac65x+2\\\\\text{It is now in slope-intercept form(y=mx+c), where m is the slope.}\\ \\\text{Hence,}~ m = -\dfrac 65[/tex]
14. Which of the following is true about given APQR given in Figure 7.82 to the right? a. p²+q²=² b. q²+r²=p² c. (p+q)²=r² d. p²+r²=q² Q P R T 9 Figure 7.82 P
We randomly select 100 Pell grant recipients from two states. State A is a relatively small state with approximately 4,000 Pell grant recipients. State B is a large state with approximately 200,000 Pell grant recipients. Suppose that the mean and standard deviation in individual Pell grants is approximately the same for both states: μ = $2, 600 and σ = $800. For which state is the sample mean for our 100 Pell grant recipients most likely to be within $80 of $2,600?a. State A because the sample represents a larger segment of this small population. b. State B because there is less variability in larger populations so estimates from samples are more accurate. c. Equally likely because σ = $800 for both states.
Using the Central Limit Theorem, the state that the sample mean would most likely be within $80 of $2,600 is given by:
c. Equally likely because σ = $800 for both states.
What does the Central Limit Theorem state?It states that the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, we have that for both states, [tex]\sigma = 800, n = 100[/tex], hence they have the same standard error, being equally as likely to be within $80 of $2,600, meaning that option C is correct.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
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the vertices of figure ABC are A(-4,1), B(5,3), and C(4,-2). If figure ABC is reflected over the line x=2, find the coordinates of vertex B'.
The coordinates of vertex B' are (-1,3)
What is reflection?Reflection is a mathematical transformation in which a image of an object is formed by flipping it over a reflection line a distance equal to the distance of the object from the reflection line.
Analysis:
When an object is reflected along the y-axis, only the the x-coordinate changes , if reflected along the x-axis, only the y-coordinate changes.
So vertex B' is a reflected vertex along the y- axis since it is at x=2
The distance of the x-coordinate of vertex B from the mirror line is 5-2 = 3
so the x-coordinate of vertex B' is going 3 units away from the mirror line which is at -1.
So the coordinates of vertex B' are (-1,3)
In conclusion, the coordinates of vertex B' reflected over the line X= 2 are (-1,3)
Learn more about transformation: brainly.com/question/4289712
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Find the output for the graph
y=-3x +11
when the input value is -4.
y = [?]
Answer:
Y = 23
Step-by-step explanation:
In the equation (y = -3x + 11) the X is the input value. When you replace this by -4 you will multiply -4*-3 which will give you 12 and then you will want to add 11 as that is your y intercept. Giving the value of your Y a 23, or the point would be (-4,23)
If DI = 14, find CJ.
42
7
28
14
Answer:
28
Step-by-step explanation:
DI is a radius
CJ is a diameter
The diameter is twice the radius
CJ = 2 * DI
CJ = 2 * 14
CJ = 28
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 3/5
Step-by-step explanation:
brainliest pleaseeee
Please help me solve this parabola equation!!
How do you convert this parabola equation: -7(x-7)^2 = (y-6) into standard form?
Answer:
y=−7x2+98x−337 is the answer
9. Use the distance formula to find the distance between the points (-4,-4) and (4,4).
Answer:
16
Step-by-step explanation:
Distance formula = [tex](x_{1}-x_{2})+(y_{1}-y_{2})[/tex]
Depending on which point is A and Which point is B, the answer is one of the two.
However, there is no such thing as negative distance, so your answer is 16 points in a certain direction.
George Carrillo
What is the surface area of the sphere?
20 cm
Right
Rectangular S.A. = 2(lwt wh+ hl)
Prism
Right Prism S.A - ph+28
Right
Cylinder
SA. - 2 + 2 trh
Right Cone S.A = x +
Regular
pl
S.A = +8
Pyramid
Sphere SA 4
Cylinder Vrh
Cone
v-garn
Vrh
Pyramid
V-B
A 3207 cm
B 4007 cm
Sphere
VG
C 1600 cm
D 32007 cm
Answer:
1600π cm^2.
Step-by-step explanation:
S. A. of a sphere = 4πr^2
= 4 π 20^2
= 1600π cm^2
Someone please help me plsssssssssssssssssssssssssssss
Answer:
232
Step-by-step explanation:
Choose the values that would complete the general solution for y= arctan (0.7002).
(blank)+360k degrees
-215
-35
-145
-325
Answer:
-145°, -325°
Step-by-step explanation:
The principal value of the arctangent of 0.7002 is 35°. The tangent function is periodic with a period of 180°, so the general solution is ...
y = (35 +180k) degrees . . . . . where k is an integer
Values from the given list include ...
-145°
-325°
_____
Additional comment
+35° and +215° would also be part of the general solution
The wind speeds throughout the month of April were normally distributed with a mean of 17 mph. What percent of the days had wind speeds between 5
Answer:38
Step-by-step explanation:
Write the inequality given in the diagram below
Answer:
x < 2
Step-by-step explanation:
the open circle above 2 on the number line indicates that x cannot equal 2
the arrow points left indicating values of x are less than 2 , that is
x < 2
angles that are exactly 90 degrees are called
Answer:
Right angles.
Step-by-step explanation:
When an angle's measurements equal 90 degrees, it is called a right angle.
Answer:
Right angles
Step-by-step explanation:
For instance a a triangle with an angle of 90 ° is a right trangle because is has a right angle in it.
2. Determine the principal that will earn $294 in 5 years at 6% per annum simple interest.
Answer:
state the formula which is S.I =P×T×R
Please, I require assistance
Answer:
see explanation
Step-by-step explanation:
(a)
given 2 intersecting chords in a circle, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
FH × HG = DH × HE ( substitute values )
2y = 3 × 4 = 12 ( divide both sides by 2 )
y = 6
then
DE = 3 + 4 = 7
FG = 2 + y = 2 + 6 = 8
(b)
given 2 secants from an external point to a circle, then the product of one secant's external part and the entire secant is equal to the product of the other secant's external part and the entire secant , that is
AB × AC = AD × AE ( substitute values )
5(5 + x) = 6 × (6 + 6)
25 + 5x = 6 × 12 = 72 ( subtract 25 from both sides )
5x = 47 ( divide both sides by 5 )
x = 9.4
then
AE = 6 + 6 = 12
AC = 5 + x = 5 + 9.4 = 14.4
i need to solve this question asap
help would be greatly appreciated,
20 points given, thank you in advance!
Answer:
im sorry I just need to us ur page to right on
What is the value of the
expression shown?
28 - 62
Answer:
-34........................
PLEAse help geometry
Answer:
A clockwise rotation of 90° about the origin
Brian is a software salesman. His base salary is 1900 , and he makes an additional 40 for every copy of Math is Fun he sells. Let N represent his total pay (in dollars), and let N represent the number of copies of Math is Fun he sells. Write an equation relating to p to n . Then use this equation to find his total pay if he sells 21 copies of Math is Fun.
Answer:
2740 is your total; p = 40n + 1900 is your equation.
Step-by-step explanation:
"p" represents total pay; "n" represents the number of copies he sells.
Base salary is 1900, and each copy sold gives him an extra 40
p = 40n + 1900 is your equation.
If he sells 21 copies. Plug in 21 for n
p = 40n + 1900
p = 40(21) + 1900
Simplify. Remember to follow PEMDAS. First, multiply, then add.
p = 40(21) + 1900
p = 840 + 1900
p = 2740
~
A standard six-sided die is rolled onto a table. The product of the visible numbers is 144. What is the number on the bottom side of the die?
Explanation:
This is something you could do by trial and error.
The visible numbers are 1,2,3,4,6 which multiply to 144.
Another approach is to notice that 5 is not a factor of 144, so it must be the hidden value not part of the items multiplied.
Every other number 1,2,3,4,6 is a factor of 144.
1*144 = 144
2*72 = 144
3*48 = 144
4*36 = 144
6*24 = 144
Round 1.87 to the nearest tenth
Answer:
the answer is 1.9 ^^
AB = ?
does anyone know?
Answer:
AB = 6.97 (nearest hundredth)
Step-by-step explanation:
Sine Trigonometric Ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\theta[/tex] = 35°O = AC = 4 unitsH = ABSubstitute the given values and solve for AB:
[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]
[tex]\implies \sf \sin(35^{\circ})=\dfrac{4}{AB}[/tex]
[tex]\implies \sf AB=\dfrac{4}{\sin(35^{\circ})}[/tex]
[tex]\implies \sf AB=6.973787182...[/tex]
Therefore, AB = 6.97 (nearest hundredth)
Which of the following is true?
A. Since the slope of AD equals the slope of CB and the slope of DB equals the slope of CA, the
figure is a rectangle.
B. Since both pairs of opposite sides are of equal length, the figure is á square
C. Since AB=CD= 141, the figure is a rectangle.
D. Since AB=CD= 141, the figure is a square.
Answer:
C. Since AB = CD = √41, the figure is a rectangle.
Explanation:
All of them AD, CB, DB, CA have a slope of 0.
Here measure the length units, 5 units horizontal and 4 units vertical. Thus we can conclude it is a rectangle.
Find diagonal Length:
√(x2-x1)² + (y2-y1) = Length from points measure.√(5-0)² + (4-0)² [insert following coordinates]√25 + 16 [simplify]√41 [final answer]Since AB = CD = √41, the figure is a rectangle.
The highest or lowest point on a parabola is called the?
Vertex
Solution
Discriminant
Answer:
The answer is Vertex
Step-by-step explanation:
solve for x in this proportion.
x/4=6/8
Answer:
x = 3
Step-by-step explanation:
x / 4 = 6 / 8
4 time 2 = 8
4a = 8 divided both side by 4 4a / 4 = 8 / 4 a = 2
so
x time 2 = 6
2a = 6 divided both side by 2 2a / 2 = 6 / 2 a = 3