Answer:
y=-13
Step-by-step explanation:
if x=-4 and y=3x-1,
plug the value for x into the y= equation:
y=3(-4)-1
multiply through distributing 3
y=-12-1
y=-13
hope this helps <3
Which expressions are perfect square trinomials? check all that apply. x2 16x 8 x2 14x 49 x2 – 5x 25 x2 – 24x 144 x2 9x – 81
The perfect square trinomial will be [tex]\rm x^2+14x+49[/tex] , [tex]x^2-24x+144[/tex]Expression 2 and 4 are correct.
What are trinomials?A mathematical expression with three terms or three monomials is called a trinomial. Polynomials having only three terms are known as trinomials.
The second and fourth expression seems to be the perfect square let's check it.
Expression 2;
[tex]x^2 + 14x+49 \\\\ x^2+7x+7x+49 \\\\ x(x+7)+7(x+7)\\\\ (x+7)(x+7) \\\\ (x+7)^2[/tex]
Expression 4;
[tex]x^2-24 x +144 \\\\ x^2-12x-12x+144 \\\\ x(x-12)-12(x-12) \\\\ (x-12)^2[/tex]
Hence the perfect square trinomial will be [tex]\rm x^2+14x+49[/tex] , [tex]x^2-24x+144[/tex] .Expressions 2 and 4 are correct.
To learn more about the trinomials refer to the link;
https://brainly.in/question/8498839
Answer:
Options 2 and 4
Step-by-step explanation:
Can somone please help me before tomorrow? I will give brainlist! Question: Timothy went to a baseball game. After the game, he wanted to do the bus tom The red line and the blue line buses both stop at the sam • A red line and a blue line bus both left the stadium at 400 m • Red line buses were scheduled to leave the stadium every • Blue line buses were should to leave the stadium every minutes of the buses our on schedule, when is the next time red line and a blue line bus will leave together?
Answer:
4:24 pm
Step-by-step explanation: I first drew it out on a time line and both buses came back together at 4:24 pm. I also looked at the common denominator was for both numbers, 6 and 8: 24.
To check my answer, I substituted other numbers and found that they came back together again at the LCD. Hope this helps.
1.
Please show steps
Write the expression in simplest form.
( Sqrt x-sqrt3y) (sqrt x + sqrt3y)
[tex]\left(\sqrt x - \sqrt{3y} \right) \left(\sqrt x + \sqrt{3y} \right)\\\\=\left(\sqrt x\right)^2 - \left(\sqrt{3y} \right)^2\\\\=x -3y[/tex]
x - 3y
Solving Stepwise:
[tex]\hookrightarrow \sf \left(\sqrt{x}-\sqrt{3y}\right)\left(\sqrt{x}+\sqrt{3y}\right)[/tex]
[tex]\sf apply \ the \ rule : \bold{\left(a-b\right)\left(a+b\right)=a^2-b^2}[/tex][tex]\hookrightarrow \sf \left(\sqrt{x}\right)^2-\left(\sqrt{3y}\right)^2[/tex]
[tex]\hookrightarrow \sf x-3y[/tex]
6. What is the area of the shared region to the nearest
tenth of square ft?
[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2)~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=50\\ r=36 \end{cases}\implies \begin{array}{llll} A=\pi (50-36)\implies A=14\pi \\\\\\ A\approx 44.0 \end{array}[/tex]
Suppose a car burns 1 gallon of gas in 25 miles. How much gas will be burned on a trip
of 400 miles?
Answer:
16
Step-by-step explanation:
400 miles / 1 gallon every 25 miles = 16 gallons total
What’s the distance between -50 and 30
Answer:
80
Step-by-step explanation:
-50+x=30
x=80
Answer:
im pretty sure its 80
Step-by-step explanation:
uhh lol help?
'' The Jurassic period (199.6 million to 145.5 million years ago) was characterized by a warm, wet climate that gave rise to lush vegetation and abundant life. Many new dinosaurs emerged—in great numbers. Among them were stegosaurs, brachiosaurs, allosaurs, and many others. Combined these three dinosaurs measured over 749 feet tall. The brachiosaurs was four times larger than the allosaurs, the stegosaurs was twice the size of the allosaurs. How tall was the brachiosaurs? "
A. 107 feet
B. 214 feet
C. 321 feet
D. 428 feet
Please help with 12. Simplify.
[tex]\dfrac 1{x+y} + \dfrac{3}{x-y} + \dfrac{2}{x^2-y^2} \\\\\\=\dfrac 1{x+y} + \dfrac{3}{x-y} + \dfrac{2}{(x+y)(x-y)}\\ \\\\=\dfrac{x-y+3(x+y)+2}{(x+y)(x-y)}\\\\\\=\dfrac{x-y+3x+3y+2}{(x+y)(x-y)}\\\\\\=\dfrac{4x+2y+2}{(x+y)(x-y)}\\\\\\=\dfrac{2(2x+y+1)}{(x+y)(x-y)}[/tex]
(21x⁵· y⁸)² divided by 3x²
show ur work
[tex]\cfrac{(21x^5y^8)^2}{3x^2}\implies \cfrac{((3)(7)x^5y^8)^2}{3x^2}\implies \cfrac{3^2\cdot 7^2x^{5\cdot 2}y^{8\cdot 2}}{3x^2}\implies \cfrac{3^2}{3}\cdot \cfrac{7^2 x^{10} y^{16}}{x^2} \\\\\\ 3\cdot 7^2 x^{10}\cdot x^{-2} y^{16}\implies 3\cdot 49x^{10-2}y^{16}\implies 147x^8y^{16}[/tex]
In the figure below, S is between Q and T, R is the midpoint of QS. If QT=10 and RS=2 find ST
Answer:
ST = 6
Step-by-step explanation:
The segment sum is ...
QR +RS +ST = QT
QR +2 +ST = 10 . . . . use given values
Since R is the midpoint of QS, we know QR = RS = 2. Now, we have ...
ST = 10 -2 -QR = 10 -2 -2 = 6
The length of ST is 6.
Please solve this and only answer with image
[tex]\cot^4 A - \cot^2 A = 1\\\\\cot^4 A = 1 + \cot^2 A\\\\\frac{\cos^4 A}{\sin^4 A} = 1 + \frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A}{\sin^2 A}+\frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A+\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{1}{\sin^2 A}\\\\\cos^4 A = \frac{\sin^4 A}{\sin^2 A}\\\\\cos^4 A = \sin^2 A\\\\[/tex]
This then means,
[tex]\cos^4 A + \cos^2 A = 1\\\\\sin^2 A + \cos^2 A = 1\\\\[/tex]
which is the pythagorean trig identity. This concludes the proof.
Therefore, if [tex]\cot^4 A - \cot^2 A = 1[/tex], then [tex]\cos^4 A + \cos^2 A = 1[/tex]
Find the measure bog and interior angle of the regular nonagon x=
Answer:
140 degrees
Step-by-step explanation:
The formula of the hint is the sum of the angles in a nonagon (9 sided polygon). If we divide the sum of the angles in a nonagon by nine we should be able to get the angle of each nonagon.
(9-2) * 180 = 7 * 180 = 1260
1260/9 = 140 degrees
The radius of a circle is 3 ft. Find its area in terms of
π
π.
area of circle = πr² (where "r" is the radius)
===========
Here the radius: 3 ft
Area:
πr²π(3)²9π6 cm 4 cm 10 cm What is the surface area of the figure? square centimeters
Answer:
2 x 10 x 4 + (4 + 10) x 2 x 6 = 80 + 168 = 248
(1) State 3 side lengths that would create a triangle.
(2) State 3 angle measures that would create a right isoscele
triangle.
Answer:
1) 1, 1, [tex]\sqrt{2}[/tex]
2) 45°, 45°, 90°
Step-by-step explanation:
side lengths need to be proportional like 1, 1, [tex]\sqrt{2}[/tex], which is proportional for isoscele triangle.
isosceles is the one that has 90° angle and 2 equal angles so two 45° angles.
7.2
8.3
152 in^3
What is the correct answer
Answer:
1094.4
Step-by-step explanation:
assuming you want volume
Your mom is building a garden around a fountain she has a space marked out but decides she wants to enlarge it without altering the center of it what type of transformation is this
Answer:
u didnt give out the choses but it might be a chance to be dilation
Step-by-step explanation:
"the action or condition of becoming or being made wider, larger, or more open."
since she enlarge it without altering the center of it
A 25-foot tree casts a 6 1/4-foot shadow. At the same time, a fence casts a 2-
foot shadow. How tall is the fence?
Answer: 16.666666 feet
Explanation: 25/9=x/6 (25*2)/3 =50/3 I hoped this helped you solve your problem. Have a good day love!
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The Height of the fence is 8 feet.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
tan(θ) = Perpendicular/Base
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
Given that a 25-foot tree casts a 6 1/4-foot shadow. Also, At the same time, a fence casts a 2-foot shadow.
Length of the shadow = 6 1/4 feet = 6 + 1/4 = 6.25 feet
Now, since the sun is at the same angle, therefore, the angle between the top of the object and the top of the its shadow will be the same for all the objects. Therefore,
tan(θ) = Height of the tree/Shadow of the tree = Height of the fence/Shadow of the fence
tan(θ) = 25 feet / 6.25 feet = Height of the fence / 2 feet
Height of the fence = (2feet × 25 feet) / 6.25 feet
Height of the fence = 8 feet
Hence, the Height of the fence is 8 feet.
Learn more about Tangent (Tanθ) here:
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pls need help in math<3
[tex]8 \times 60 = 480 \: \: min[/tex]
For 3 people
____________________________________________
Thus for each person it may take :
[tex]480 \div 3 = 160 \: \: min[/tex]
And for 5 people it will take :
[tex]160 \times 5 = 800 \: \: min[/tex]
Answer is 780 minutes
2.6 hours = 1 person
8/3 = 2.66 (continuing)
5 x 2.6 = 780 minutes (13 hours)
So, 5 people = 780 minutes
780, if rounded, = 800
Agnes pays state income tax equal to 3.75% of her federal taxable income. she pays federal income tax equal to 28.4% of her federal taxable income. this year, she paid $15,449.60 in federal income tax. how much did agnes pay in state income tax? a. $573.36 b. $4,387.69 c. $1,170.04 d. $2,040.00 please select the best answer from the choices provided a b c d
Based on the information the amount that Agnes paid as state income tax is $2,040.
What is the federal income?Federal Income Tax is the tax system in the United States, levied and governed by Internal Revenue Services (IRS) which helps determine the tax that is charged on the income earned by individuals, corporates, and various other legal entities.
The first step is to calculate Agnes' federal taxable income.
Federal taxable income=$15449.60/0.284
Federal taxable income= $54,400
The second step is to calculate Agnes' state income tax.
State income tax=0.0375 ×$54,400
State income tax=$2,040
Hence, the amount that Agnes paid as state income tax is $2,040.
Learn more here federal income:
brainly.com/question/12600097
Answer:
its d
Step-by-step explanation:
Given the equation : 5 + x - 14 = x - 7
Part A. Solve the equation . 5 + x - 14 = x - 7 In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values x = -2, 0, 3 to verify your solution to the equation .5 + x - 14 = x - 7 In your final answer, include all of your calculations.
Well, at first consider the given equation, then will be solving for Part A) and B),
[tex]{:\implies \quad \sf 5+x-14=x-7}[/tex]
Subtracting x from both sides will yield ;
[tex]{:\implies \quad \sf 5-14=-7}[/tex]
[tex]{:\implies \quad \sf -9=-7}[/tex]
But, -9 ≠ -7, so their is no solution for values of x, as -9 can't be equal to -7 , so from definition of algebra, we can say that, their are no solutions for x, as there are no solutions for x, so nothing can be concluded from Part A and Part B
Answer:
Part A: -9 ≠ -7
no solution
Part B: below for the answers
Step-by-step explanation:
Part A: 5 + x - 14 = x - 7
subtract x on both sides
x - 5 + x - 14 = x - 7 - x
then, we take away the x's
5 - 14 = -7
-9 ≠ -7
there is no solution
Part B: 5 + -2 - 14 = -2 - 7
-11 ≠ -9
5 + 0 - 14 = 0 - 7
-9 ≠ -7
5 + 3 - 14 = 3 - 7
-6 ≠ -4
HELP! WILL GIVE BRAINLEST!
Answer:
A
Step-by-step explanation:
tan theta will equal zero if theta = n × pi where n is an integer
Make sure to Show your math steps to arrive at your answers and Explain each step in complete sentence please
Answer:
Min is 51 and max is 75 and the the mediem is 63 and the q1 is 54 and q2 is 55 and 57 and q3 is 65 and 69
Step-by-step explanation:
the least is 51 and the most is 75 and the mean is 63 if u list them in order and than u find the quartiles that are between the median and 51 and q3 is between the median and the max.
!!!!40 POINTS AND BRAINLIEST!!!!
If you are trying to calculate a company's initial profit, you can graph the profit function
and find:
A)the highest point of the graph.
B)the point where the graph crosses the x-axis.
C)the lowest point of the graph.
D)the point where the graph crosses the y-axis.
(Make sure to explain)
Answer:
D) the point where the graph crosses the y-axis
Step-by-step explanation:
The "initial" value of a function is generally taken to mean the function value when the independent variable is zero.
On a graph of the profit function, that will be the y-intercept: the point where the graph crosses the y-axis.
__
The highest point on the graph will be the maximum profit.
The points where the graph crosses the x-axis will be where profit is zero, referred to as "break-even" points.
The lowest point on the graph will be where the profit is a minimum. That point may actually indicate a loss (negative profit).
Subtract and write your answer as mixed number. 5 3/4 - 1 2/3
Answer: 4 1/12
Step-by-step explanation:
Which of the following is equal to? ( in picture)
Answer:
2 option hope it helps
Hence, option D is correct.
Explanation:[tex]\dashrightarrow \sf \sqrt{\sqrt[3]{2}}[/tex]
apply radical rule
[tex]\dashrightarrow \sf \left(2^{\dfrac{1}{3}}\right)^{\dfrac{1}{2}}[/tex]
apply exponent rule
[tex]\dashrightarrow \ \sf 2^{\dfrac{1}{6}}[/tex]
how do you solve this
Answer: 254.5
Step-by-step explanation:
The first sequence rule is subtract 10 starting from 55. The second sequence rule is add 3 starting from 6. What is the first number that appears in both sequences? 15
12
9
5
Answer:
15
Step-by-step explanation:
Trust me it 15.
Too long to explain...
y=2x^2-18x+40 solved in square root
Answer:
x=-4
or
x=-5
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((0 - 2x2) - 18x) - 40 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-2x2 - 18x - 40 = -2 • (x2 + 9x + 20)
Trying to factor by splitting the middle term
3.2 Factoring x2 + 9x + 20
The first term is, x2 its coefficient is 1 .
The middle term is, +9x its coefficient is 9 .
The last term, "the constant", is +20
Step-1 : Multiply the coefficient of the first term by the constant 1 • 20 = 20
Step-2 : Find two factors of 20 whose sum equals the coefficient of the middle term, which is 9 .
-20 + -1 = -21
-10 + -2 = -12
-5 + -4 = -9
-4 + -5 = -9
-2 + -10 = -12
-1 + -20 = -21
1 + 20 = 21
2 + 10 = 12
4 + 5 = 9 That's it
this is writing linear equations
Answer:
[tex]y = 3x +1[/tex]
Step-by-step explanation:
We can verify it by substituting the [tex]x[/tex] with the numbers in the [tex]x[/tex] column to get the same [tex]y[/tex] in the [tex]y[/tex] column.
Check:
[tex]y = 3(-2) +1\\y = -6 +1\\y= 5[/tex]
It matches; therefore, the answer is [tex]y = 3x +1[/tex]. You can try with the other equations given and take the same steps, but it will not match.