[tex]2 = {x}^{2} + 5x[/tex]
Arrange the expression into the standard form.[tex]0 = {x}^{2} + 5x - 2 \\ {x}^{2} + 5x - 2 = 0[/tex]
DiscriminantFrom the standard form equation and from the given equation.
[tex]a {x}^{2} + bx + c = 0 \\ a = 1 \: \: \: b = 5 \: \: \: c = - 2[/tex]
Discriminant Formula
[tex]D = {b}^{2} - 4ac[/tex]
Substitute the value of terms in the discriminant formula.
[tex]D = {(5)}^{2} - 4(1)( - 2) \\ D = 25 - 4( - 2) \\ D = 25 + 8 \\ D = 33[/tex]
Discriminant Types
[tex]D > 0 \: \: \: \: 2 \: \: real \: \: roots \\ D = 0 \: \: \: \: 1 \: \: real \: \: root \\ D < 0 \: \: \: imaginary \: \: roots[/tex]
We can rule out the Imaginary root and double root because the discriminant is greater than 0. Therefore, the only choices are either Irrational or Rational.
However, we cannot factor the expression by using two brackets or common factor. We can say that the equation has two real irrational roots.
Answerreal and irrational rootLAST ONE! Simplify the following expression.
Answer:
5+5root3
Step-by-step explanation:
Answer:
5+5root3
Step-by-step explanation:
sorry if its wrong
Please help with this!! Triangles and angles
Answer:
Hello, for the second question, you can actually form a triangle from the line. From there, you can see the height (aka y) will be easier to solve. I hope this helps!
Ans: 1) 47.5
2) 3.4
Step-by-step explanation:
What is the inverse of the function f(x) = 4x + 8?
Answer:
h(x) = (1/4)x - 2 which is choice A
Step-by-step explanation:
Replace f(x) with y. Then swap x and y. Lastly, solve for y to get the inverse.
f(x) = 4x+8
y = 4x+8
x = 4y+8
x-8 = 4y
4y = x-8
y = (x-8)/4
y = x/4 - 8/4
y = (1/4)x - 2
h(x) = (1/4)x - 2
Jada has a coin jar containing n nickels and d dimes worth a total of $3.65. The
equation 0.05n + 0.1d = 3.65 is one way to represent this situation.
Which equation is equivalent to the equation 0.05n +0.1d = 3.657
Answer:5n+10d=365.7 pennies
Step-by-step explanation:
The sum of the interior angles of a triangle is _______. 90° 180° 270° 360°
Answer:
180
Step-by-step explanation:
Estimate.Solve problem
3/6+1/3=
Answer:
5/6
Step-by-step explanation:
5/6 would be the answer simplified I hope that helps :)
Answer:
5/6 which is 0.83
Step-by-step explanation:
Help please......................
Answer:
6 1/2
Step-by-step explanation:
4 1/2+2 1/2
= 9/2+5/2
=14/2
=7
Hope This Helps, BadAtMath99
Given: wzx and yzx are right triangles, wx = yx. Prove wxz ~= yx .....plz answer will give brainlyest!!
Answer:
The answer is below
Step-by-step explanation:
From the question,
Statement Reason
ΔWZX and ΔYZX are Given
right angled triangles
WX = YX Given
XZ ≅ XZ Reflexive property. The reflexive
property of congruence states that
any shape is congruent to itself.
∠XZW = ∠XZY Definition of right angle.
∠XWZ = ∠XYZ Definition of isosceles triangle.
Triangle XYW forms a right angled
triangle since YX = WX
∠XWZ + ∠WXZ + ∠XZW = 180° Sum of angles in triangle WZX
∠XZY + ∠XYZ + ∠YXZ = 180° Sum of angles in triangle YZX
∠XWZ + ∠WXZ + ∠XZW = Substitution
∠XZY + ∠XYZ + ∠YXZ
∠XYZ + ∠WXZ + ∠XZY = Substitution
∠XZY + ∠XYZ + ∠YXZ
∠WXZ = ∠YXZ Simplification
(-7/10)=?/10 change to higher terms please help !!
Answer:
-7
Step-by-step explanation:
you cant change the numerator if you cant change the denominator
Nancy has 7 boxes of tomatoes. Each day, she picks another
2
box. How many boxes of
tomatoes will Nancy have in 6 days? Write an equation, complete the table, and then graph to
solve the problem.
Answer:
19 boxes of tomatoes
Step-by-step explanation:
If she starts with 7 boxes of tomatoes and she picks 2 more each day for 6 days then you can multiply 2 by 6 and get 12 tomatoes then you add the 7 boxes she originally started with and you get 19 boxes of tomatoes.
The number of boxes Nancy had after 6 days is 19, the equation representing the given phrase is y = 2x + 7, and the graph is attached below.
What is graph?A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.
Given:
Nancy has 7 boxes of tomatoes,
Each day, she picks another 2 boxes,
The equation which will represent the above phrase is shown below,
Total number of tomatoes = The number of tomatoes she already had + number of days × each day's tomatoes picked by Nancy,
Assume the total number is y and the number of days is x then,
y = 7 + 2 × x
y = 2x + 7
Put the value of x = 6,
y = 2 × 6 + 7
y = 12 + 7
y = 19
Thus, she has a total of 19 boxes of tomatoes after 6 days.
To know more about Graph:
https://brainly.com/question/10712002
#SPJ2
What is the vertex of the equation y = (x - 3)2 + 7?
Answer:
(3,7)
Step-by-step explanation:
HELPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
The lines represent the lines of symmetry where the image can be reflected upon. Hence it is reflectional.
The dot in the middle of the image tells us that the image can be rotated about the dot to produce the exact same image. Hence it is rotational.
The answer is both rotational and reflectional.
Answer:
I broke it to phrases. Make sure to read both.
It is rotational symmetry. This is because rotational symmetry means it is able to be rotated, and looks the same. This is true with this figure. The lines demonstrate that it is an equal dimensioned 2D shape.
It is ALSO reflection symmetry because this means it can be split through the center and looks exactly the same, as if it was a reflection. This is true here too because it has the same amount of lines split through the same angle on each side making it equal. You can also see a line already going through the shape, and as you can see if you look at see side it looks equal, like a reflection.
The answer is D.
help me please the first answer gets the brainiest
Answer:
that is simple, use the graph and put parenthesis around say 1 and 2 then graph it then keep doing that throughout the graph if you want further explanation just ask
Step-by-step explanation:
g(x) = 3x + 2
f(x) = 4x - 3
Find: f(g(x))
Answer:
5
Step-by-step explanation:
g(x)=3x+2
g(x)÷x=3x÷x+2
g=3+2
g=5
f(x)=4x-3
f(x)÷x=4x÷x-3
f=4-3
f=1
3x+2÷g=4x-3÷f
2÷g=x-3÷f
5÷g=x÷f
5÷5=x÷1
1=x
1×(5×1)
5
heather spend 2/7 of her money buying presents. she then had €48.65 left how much had she at first?
Given :
Heather spend 2/7 of her money buying presents.
She then had €48.65 left.
To Find :
The initial amount of money she had.
Solution :
Let, initial amount she had is €x.
So,
[tex]x - \dfrac{2x}{7} = 48.65\\\\\dfrac{5x}{7} = 48.65 \\\\x = \dfrac{48.65\times 7}{5}[/tex]
x = €68.11
Therefore, initially he had €68.11 .
2+2 pls help quick or ill fail sike awnser 7/3x = 2/3
Answer:
21/3 i think
Step-by-step explanation:
uh-
well 2+2 is 4 and 7/3x=2/3 is 2/7
Plz I will chose you the brainlest. (Chose all that apply)
Answer:
C
Step-by-step explanation:
Let us rule out the first one. c+11 is not equivalent.
The second one does not work either because it is adding the two terms instead of multiplying.
The last one does not work either because again, it is adding.
C, the third one works. This is because using multiplaction, you can rearrange the order of the terms and still get the same answer.
Therefore, the third one
Hope this helps! :)
Answer:
I think it is C and D
Step-by-step explanation:
!!!!
(50 POINTS) (PLEASE ANSWER THE QUESTION, NOT JUST TRY AND TAKE MY POINTS, I NEED HELP ON THIS SO DO NOT ANSWER IF YOU DO NOT KNOW OR ARE JUST TRYING TO TAKE MY POINTS)
Is there a proportional relationship between number of sandwiches and the cost of the order? Explain how you know.
(The picture shows what the relationship is now all I need to find is if it’s proportional or not, and why. Can you help me please? It’s homework, and it’s due in 5 minutes.)
Answer:
No, there is no proportional relationshipStep-by-step explanation:
The proportional relationship is:
y = kx, which is a special form of linear equation, with zero y-interceptIn the given case we have:
y = 4.5x + 10This is a linear function but not proportional relationship because it has y-intercept, different than zero
2/3 parts of the earth 's surface is covered with water.
(i) Express it in percent.
(II) How many percent is the continental part ?
Answer:
Water =2/3× 100%=200/3%=66.67%
So land will be 100% - 66.67%
=33.33
1. If you make 8 1/5 cookies in 1/4 of an hour, how many cookies can you make in one hour? Find
the unit rate.
Answer:
32.8
Step-by-step explanation:
you divide 8 1/5 by 1/4 to find the unit rate.
Which shape is an example of rotational symmetry
Write the equation of the line in slope-intercept form.
Answer: y=-3/4x
Step-by-step explanation:
The slope intercept form is when you use the equation y=mx+b (m is the slope and b is the y-intercept). First, let's find the y intercept. The y intercept is what y would be if x is 0. here, you can see that this particular line passes through the origin. So, the y-intercept is zero because when x passes through zero, y is also zero. Next, let's find the slope. The formula for slope is change in y/change in x. Let's randomly choose 2 points off this line. To make this a thousand times easier for us, let's choose the points (-4, 3) and (4, -3). Now, to find the change in y, let's find the difference between the 2 y coordinates we have chosen. To do this we just need to do -3-3, which gives us -6. Now let's find the change in x. To do this we will do the same thing we did to find the change in y but this time we'll use the x coordinates. We will do 4-(-4), which simplifies to 8. Now, we're almost done. Just divide the change in y by the change in x. You will get -6/8. This can be simplified to -3/4. So now we know our slope is -3/4 and our y-intercept is 0. Let's insert them into the equation. y=-3/4x+0. We know that we can just get rid of that 0 because 0 literally means nothing. So our final answer is y=-3/4x. Hope this helps!
What should managers use if they want to identify and respond in a timely manner to social and political shifts?
Answer:
They need to use issues management
Step-by-step explanation:
Due to the fact that social and political shifts are usually quite complex in terms of the possible issues that arise from them, managers are best served to use Issues management because it is an anticipatory and strategic management process which aids organizations in quick & timely detection and response to changes in the socio - political system or environment.
PLEASE HELP !!! i need to know the surface area
Answer:
244 ft²
Step-by-step explanation:
Rectangle Base Area: 6•4=24
Rectangle Side Area: 8•10=80; 80•2(sides) = 160
Triangle Sides Area: (10•6=60); 60/2(area of triangle) = 30; 30•2(sides)=60*
*Technically can skip the divide by two and then multiply by two, since they cancel out*
(Area of Triangle Formula= 1/2bh)
Add areas together: 24+160+60= 244 ft²
In which quadrant are the following points in
c< (78/10 - 6/10) ÷ 9/10
Answer:
c < 8
Step-by-step explanation:
Graph: y=3/4x+5 Please let me know guys
(PLEASE HELP ASAP ILL MARK BRAINIEST)
In the figure below, Triangle ABC is similar to Triangle XYZ. What is the length of YZ? Enter only the number.
Answer:
The answer would be 24
Step-by-step explanation:
8 x 3 = 24
(4x)° (5x+18)° 81° solve for x
Answer: If you see my picture and you will see my answer
Step-by-step explanation: Hope this help
some one please help me
Answer:
b>k c>L ac>JL bc>KL
Step-by-step explanation:
poggers
Answer:
B = K
C = L
AC = JL
BC = KL
hope this helps!