Answers
Answer:
2 roots1 rootStep-by-step explanation:
Each equation is in vertex form, so you can easily determine the number of real roots. The leading coefficient tells you whether the parabola opens upward (positive) or downward (negative).
y = a(x -h)^2 +k
has leading coefficient "a" and vertex (h, k).
__
f(x) = 1/3(x +5)^2 +7
vertex: (-5, 7), opens downward
The vertex is above the x-axis, so there are two real roots.
__
f(x) = -5(x -3)^2
vertex: (3, 0), opens downward
The vertex is on the x-axis, so there is one real root.
Related Questions
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Which expression is equivalent to (150x-80y+ 50-50x-25y+20)?
20x-214+ 14
20x+ 11y + 14
20x-11y+6
20x+21y+6
Answers
Answer:
20x+21y+14
Step-by-step explanation:
Combine like terms:
150x-80y+50-50x-25y+20=
100x-80y+50-25y+20=
100x-105y+50+20=
100x-105y+70
100x-105y+70 can be divided by 5 and get 20x+21y+14.
Answer:a
Step-by-step explanation:
If 3x-5=6x-2 is -1. Then how do I do a check step? :(
Answers
Answer:
ok,just substitute the x for -1
3x-5=6x-2
3(-1)-5=6(-1)-2
-3-5 = -6-2
-8 = -8
TRUE
So,the solution is correct.-1 is the correct solution
I hope this help,Please give me the brainliest
Step-by-step explanation:
heklp me again please if you dont mind
Answers
Step-by-step explanation:
This is the answer of this question.
determine which function has the greatest rate of change as x approaches infinity f(x)=4x+50, g(x)=3^x-4, h(x)=2x^2+9x-4, there is not enough information to determine the answer
Answers
Answer:
g(x)=3^x-4, this one is exponential so it would have the greatest rate of change as x approaches infinity. The first one is a line and the third one is a parabola.
Step-by-step explanation:
Helpppp pleaseee
What is the solution to -2(8x – 4)< 2x + 5?
Ox>
Ox<
O x > 6
O x<6
Answers
Answer:
x> 1/6
Step-by-step explanation:
-2(8x – 4)< 2x + 5
Distribute
-16x +8 < 2x+5
Add 16x to each side
-16x +8+16x < 2x+16x+5
8 < 18x+5
Subtract 5 from each side
8-5 < 18x
3 < 18x
Divide each side by 18
3/18 < 18x/18
1/6 < x
Answer:
[tex]x > \frac{1}{6} [/tex]
First answer is correct.
Step-by-step explanation:
[tex] - 2(8 x - 4) < 2x + 5 \\ - 16x + 8 < 2x + 5 \\ - 16x - 2x < - 8 + 5 \\ - 18x < - 3 \\ \frac{ - 18x}{ - 18} < \frac{ - 3}{ - 18} \\ x > \frac{1}{6} [/tex]
a rectangle has an area of 40 sq units , then length is 6 units greater than the width
Answers
Answer:
A=L*W
Let w be width
L=(w+6)
40=(w+6)*w
40= w^{2} +6w
w^{2} +6w-40=0
w^{2}+10w-4w-40=0
w(w+10)-4(w+10)=0
(w-4)(w+10)=0
w=4
Length= 10 units
Width=4 units
Step-by-step explanation:
Find the value of x. 5x+18+2x=5
Answers
Answer: x=-1.9
Step-by-step explanation:
[tex]5x+2x=7x[/tex]
[tex]7x+18=5[/tex]
-18 on both sides
[tex]7x=-13[/tex]
divide 7 on both sides
[tex]x=-1.9[/tex]
Answer
X=-1.9solution
[tex]5x + 18 + 2x = 5 \\ or \: 5x + 2x + 18 = 5 \\ or \: 7x + 18 = 5 \\ or7x = 5 - 18 \\ or \: 7x = - 13 \\ \: x = - \frac{13}{7} [/tex]
X=-1.9
hope this helps..
Good luck on your assignment...
In a 10% sale a jumper costs £36. How much does it usually cost?
A. 40
B. 39.60
C. 32.40
D. 360
Answers
So you do £36+£3.60
Then your answer is...
B. £39.60
Answer:
A. 40
Step-by-step explanation:
CP= x, SP= £36, sale= 10%
SP= CP- 10%= CP*0.9
x*0.9= £36
x= £36/0.9= £40
Find the 14th term of geometric sequence 5,-10,20,...
Answers
Answer:
-40960
Step-by-step explanation:
5,-10,20,..
first term= 5 and common ratio= -2
aₙ= a₁*rⁿ⁻¹
a₁₄= 5*(-2)¹³= -40960
Sam bright a Canada saving bond paying 4% interest and a provincial government bond paying 5% interest. He invested a total of $15,000 and earned $690 in interest in the first year. How much did he pay for each bond? PLEASE ANSWER THIS ASAP
Answers
Answer:
Money invested in Canada saving bond is $6000.
Money invested in provincial government bond is $9000.
Step-by-step explanation:
First of all, let us have a look at the formula for simple interest:
[tex]SI = \dfrac{P\times R\times T}{100}[/tex]
Where P is the amount invested
R is the rate of interest and
T is the time
We are given here, 2 bonds in which a total of $15000 were invested
Let money invested in Canada saving bond [tex]P_1[/tex], = $x
Rate of interest, [tex]R_1=4\%[/tex]
Time, [tex]T_1 = 1\ year[/tex]
[tex]SI_1 = \dfrac{P_1\times R_1\times T_1}{100}\\\Rightarrow \dfrac{x\times 4\times 1}{100} ..... (1)[/tex]
Let money invested in provincial government bond [tex]P_2[/tex], = $(15000-x)
Rate of interest, [tex]R_2=5\%[/tex]
Time, [tex]T_2 = 1\ year[/tex]
[tex]SI_2 = \dfrac{P_2\times R_2\times T_2}{100}\\\Rightarrow \dfrac{(15000-x)\times 5\times 1}{100} ..... (2)[/tex]
We are given that
[tex]SI_1+SI_2=$690\\\text{Using equations (1) and (2):}\\\\\Rightarrow \dfrac{4x}{100} + \dfrac{(15000-x)\times 5}{100} = 690\\\Rightarrow 4x + (75000-5x) = 69000\\\Rightarrow x = \$6000[/tex]
Money invested in Canada saving bond = $6000
Money invested in provincial government bond = $15000-$6000 = $9000
for the following geometric sequence find the recursive formula. {1, -3, 9, ...}
Answers
Answer:
[tex]g_{n}=g_{n-1} *-3[/tex]
Step-by-step explanation:
A recursive formula is [tex]g_{n}=g_{n-1} *r[/tex]. N is the number of terms and r is the rate of change. R here equals -3 because you are multiplying by -3 eachtime. Therefore, the recursive formula is [tex]g_{n}=g_{n-1} *-3[/tex]
The cost of endless chicken wings and sauce at resturant X is $10. The cost of chicken wings at Resturant Z is $0.50 per wings plus a one-time $1.50 charge for sauce. The total cost, c, of n chicken wings can be represented by a system of equations.
Answers
Answer:
10=.50n+1.50
Step-by-step explanation:
The total cost, c, of n chicken wings can be represented by a system of equations as follows c = 0.50n + 1.50
c = total cost
n = number of chicken wings
Therefore,
The cost of chicken wing at restaurant Z is $0.50 per wings plus a one time $1.50 charge for sauce.
The system of equation that represent the system is as follows:
c = 0.50n + 1.50
The one time fee for sauce is just like a constant in the equation.
learn more here: https://brainly.com/question/19316321?referrer=searchResults
I NEED HELP PLEASE, THANKS! :)
Answers
Answer: D) reflection over the x-axis, vertical shrink by a factor of 7/8, horizontal shift 3 units to the left, and vertical shift 3 units up.
Step-by-step explanation:
[tex]Consider\ f(x)=Ae^{Bx-C}+D\qquad where[/tex]
A = vertical stretch by a factor of A (|A| < 1 is a vertical shrink)-A = reflection across the x-axisB = horizontal shrink by a factor of 1/BC = horizontal shift C units (positive = right, negative = left)D = vertical shift D units (positive = up,, negative = down)[tex]f(x)=e^x\\\\g(x)=-\dfrac{7}{8}e^{x+3}+3[/tex]
→ A = -(7/8)
The negative sign represents a reflection across the x-axis.
(7/8) < 1 so it is a vertical shrink by a factor of (7/8)
→ C = -3 x +3 = x - (-3)
This is a horizontal shift 3 units to the left.
→ D = +3
This is a vertical shift 3 units up.
La suma de las edades de tres personas es 127años. La mayor tiene 30 años mas que la menor y la del intermedio 26 menos que la menor.¿ calcula la edad de la persona mayor'
Answers
Answer:
La mayor tiene 61 años.
Step-by-step explanation:
Sea x,y,z la edad de la mayor, intermedio y la menor respectivamente.
Tenemos las siguientes ecuaciones:
[tex]x+y+z=127[/tex] (la suma de las edades es 127)
[tex]x = z+30[/tex] (la mayor tiene 30 años más que la menor)
La frase "y la del intermedio 26 menos que la menor" no tiene sentido, puesto que esto implicaría que la del intermedio es menor que la menor. Luego se asume que la frase ha de ser "y la del intermedio 26 menos que la mayor"
[tex]x-26 = y[/tex] (la del intermedio tiene 26 menos que la mayor).
La segunda ecuación se traduce a x-30 =z. Si reemplazamos todo en la primera ecuación obtenemos
[tex]x+(x-26)+(x-30) = 127[/tex]
Obtenemos la ecuación
[tex]3x-56 = 127[/tex]
Sumando 56 a ambos lados y dividiendo por 3, obtenemos
[tex] x = \frac{127+56}{3} = 61[/tex]
Es decir la mayor tiene 61 años.
Part of the graph of the function f(x) = (x + 4)(x - 6) is
shown below.
Which statements about the function are true? Select two
options.
Ту
The vertex of the function is at (1,-25).
6
The vertex of the function is at (1,-24).
4
The graph is increasing only on the interval -4< x <6.
2
The graph is positive only on one interval, where x<-4.
The graph is negative on the entire interval
-4 < X < 6.
Answers
Answer:
Step-by-step explanation:
#1: True
#2: False
#3: False
#4: False
#5: True
I hope I've helped you.
Angle X measures _____ degrees. Angle Y measures _____ degrees. The value of x is ______ degrees. Tha value of y is _____ degrees.
Answers
Answer:
Angle x measures 64 degrees and Angle y also measures 64 degrees. X is 11. The value of y is also 11.
Step-by-step explanation:
Alright, so this triangle is an isosceles triangle since there are lines on two sides meaning they are congruent to each other. So, if the sides are congruent, then the angles are also congruent. Angle y is congruent to angle x. First, lets find what they measure totally. Since they are congruent, we can write the equation with 2x+angle w which is 52=180 because the sum of all angles in a triangle is 180. Subtract 52 from both sides 2x=132 divide both sides by 2, and you get 64. You found what angle x and y equal. Now you can find what the value of x and y. For finding x, 4x+20=64 and for y, 6y-2=64. Isolate each variable, and you get 11 for both the value of x and y.
Which equations are correct? Select each correct answer.
Answers
Answers:
Option two, 5[tex]y^{4}[/tex](2[tex]y^{5}[/tex]) = 10[tex]y^{9}[/tex] and option 4, 5[tex]x^{3}[/tex](6[tex]x^{4}[/tex]) = 30[tex]x^{7}[/tex]
Step-by-step explanation:
O1 + O3 = incorrect, the powers have been multiplied together. Laws of indices suggest that if you are multiplying powers together, you must add them, not do 4 x 5 or 2 x 2.
Please remember:
2y squared x 3y cubed = 6y to the power 5
Answer:
Solution(s) : Option # 2 and # 4
Step-by-step explanation:
One quick way to identify which solutions are accurate would be adding the exponents of the terms provided ( b, y, c etc ). As you can see in each example two expressions are being multiplied, and hence the exponents of each term are being added.
Therefore the second and fourth example are correct, as 4 + 5 = 9, the co - efficient of y. And 3 + 4 = 7, the co - efficient of x.
Check :
[tex]5y^4\left(2y^5\right)[/tex] = [tex]5\cdot \:2y^{4+5}[/tex] = [tex]5\cdot \:2y^9[/tex] = [tex]10y^9[/tex]
[tex]5x^3\left(6x^4\right)[/tex] = [tex]5\cdot \:6x^{3+4}[/tex] = [tex]5\cdot \:6x^7[/tex] = [tex]30x^7[/tex]
WILL GIVE BRAINLIEST Which pairs of rectangles are similar polygons? Select each correct answer. 1)two rectangles. larger rectangle has left side labeled 1225 m and bottom labeled 144 m. the smaller rectangle has left side labeled 3.5 m and bottom side labeled 1.2 m. 2)two rectangles. larger rectangle has left side labeled 13 m and bottom labeled 5 m. the smaller rectangle has left side labeled 5.2 m and bottom side labeled 2.5 m. 3)two rectangles. larger rectangle has left side labeled 18 m and bottom labeled 6 m. the smaller rectangle has left side labeled 4.5 m and bottom side labeled 1.5 m. 4)two rectangles. larger rectangle has left side labeled 40 m and bottom labeled 15 m. the smaller rectangle has left side labeled 8 m and bottom side labeled 3 m.
Answers
Answer: Look at the picture :)
The pairs of rectangles that are similar polygons are those in;
1 and 4
For two rectangles to be similar polygons, it means that the ratio of their corresponding sides must be the same.
In question 1;
Ratio of corresponding left sides = 1225/3.5 = 350
Ratio of corresponding bottom sides = 144/1.2 = 120
Ratios do not correspond and as such they are not similar polygons.
In question 2;
Ratio of corresponding left sides = 13/5.2 = 2.5
Ratio of corresponding bottom sides = 5/2.5 = 2
Ratios do not correspond and as such they are not similar polygons.
In question 3;
Ratio of corresponding left sides = 18/4.5 = 4
Ratio of corresponding bottom sides = 6/1.5 = 2l4
Ratios correspond and as such they are similar polygons.
In question 4;
Ratio of corresponding left sides = 40/8 = 5
Ratio of corresponding bottom sides = 15/3 = 5
Ratios correspond and as such they are similar polygons.
Read more at;https://brainly.com/question/20590854
plz help!! marking brainiest!! (btw jus to clarify, i dont have three questions, they're jus graphs)
Answers
Answer:
c
Step-by-step explanation:
Find the 98th term of the arithmetic sequence 14, 10, 6, ...
Answers
Answer:
-374
Step-by-step explanation:
We know that a₁ = 14 and the common difference = -4 so the explicit rule is aₙ = 14 + (n - 1) * (-4) = -4n + 18. a₉₈ = -4 * 98 + 18 = -374.
Answer:
Brainliest!!!!
Step-by-step explanation:
the equation is this...
y = -4x + 14
97 x -4 = -388
-388 + 14 = -374
you might wonder why I did 97... that is becuase 14 is the first term
A tent in the shape of a triangle prism is made using the following piece of fabric.
Find the surface area of the fabric. Explain your reasoning
Answers
Answer:
85.84 ft²
Step-by-step explanation:
The surface area of the fabric would be the total net area of the shape of the tent covered.
Thus, surface area = area of the 3 rectangular faces + area of the 2 triangular faces
From the diagram given, the 3 rectangular faces have the same dimensions as follows:
L = 6ft
W = 4ft
Area of the 3 rectangular faces = 3(6*4) = 3(24) = 72ft²
The 2 triangular faces have the same dimensions as follows:
B = 4f
H = 3.46ft
Area of the 2 triangular faces = 2(½*B*H)
= 2(½*4*3.46)
= 2(2*3.46)
= 2(6.92)
= 13.84 ft²
Surface area of fabric used to cover the triangular tent = 72ft² + 13.84ft² = 85.84 ft²
Answer:
85.84
Step-by-step explanation:
11(4x+13)+12x-17 PLZ HELP WILL HAVE MORE QUESTIONS. ANSWER ASAP
Answers
Answer:
56x + 126
Step-by-step explanation:
Step 1: Distribute
44x + 143 + 12x - 18
Step 2: Combine like terms
56x + 126
[tex]\text{Simplify the expression}\\\\11(4x+13)+12x-17\\\\\text{Use the distributive property}\\\\44x+143+12x-17\\\\\text{Combine like terms}\\\\\boxed{56x+126}[/tex]
Stephanie saw in an ad in the paper that her favorite kind of perfume was I feel for 25% off if the sale price was $15 what was the original price of the perfume
Answers
Answer: $20
Step-by-step explanation:
Here os the correct question:
Stephanie saw in an ad in the paper that her favorite kind of perfume was on sale for 25% off. If the sale price was $15, what was the original price of the perfume?
Let the original price of the perfume be y.
Since we are told that 25% is off, that means that 25% has been deducted from the original price. This can be written as:
y - (25% of y) = $15
y - (25/100 × y) = $15
y - 0.25y = $15
0.75y = $15
Divide both side by 0.75
0.75y/0.75 = $15/0.75
y = $20
The original price of the perfume is $20
Evaluate piecewise functions
Answers
Answer:
The answer is 150.
Step-by-step explanation:
Eliminate the second and third piece of the function, because they do not include t= -10 in their range. Now, input t= -10 in the first piece. That will give you f(-10)= (-10)^2 - 5(-10)= 150.
250 + 200h = 300 + 180h 250 + 200h = 300 + 180h − 180h − 180h 250 + 20h = 300 h = credit hours
Answers
Answer:
h = 2.5
Step-by-step explanation:
250 + 200h = 300 + 180h
subtract 180 from both sides250 + 200h - 180 = 300 + 180h - 180
250 + 20h = 300
subtract 205 from both sides250 - 250 + 20h = 300 - 250
20h = 50
divide both sides by 2020h ÷ 20 = 50 ÷ 20
h = 2.5
which of the following is equal to the rational expression when x ≠ -1 or -7
Answers
Answer:
A.
Step-by-step explanation:
When you simplify the equation down by getting rid of (x + 1) (and that creates a hole in the graph), you should end up with A as your answer.
What are the intercepts of the function?
The x-intercepts are
Consider the function f(x) = x2 + 12x + 11.
x-intercepts:
0= x2 + 12x + 11
0 = (x + 1)(x+ 11)
The y-intercept is
y-intercept
f(0) = (0)2 + 12(0) + 11
) Intro
Done
Answers
Answer:
see explanation
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
x² + 12x + 11 = 0 ← in standard form
(x + 1)(x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 11 = 0 ⇒ x = - 11
The x- intercepts are x = - 11 and x = - 1
To find the y- intercept let x = 0, that is
f(0) = 0² + 12(0) + 11 = 0 + 0 + 11 = 11
The y- intercept is 11
Which would be appropriate compatible numbers to use to estimate (19 4/5)(4/6)
Answers
Answer:
Approximately 10
Step-by-step explanation:
19 / 5 Approximately 4
4 * 4 = 16
16 * 4 / 64
64 / 6 * = Approximately 10 / 10.6 ish
Actual Answer is 10.133
please help thank you
Answers
Answer:
y=5x+15
Step-by-step explanation:
We get y=5x+15 since she charges a one time fee of $15 and $5 every hour.
Answer:
Answer D
Step-by-step explanation:
Calculate the area and perimeter of the following ring where
a = 7cm,
b = 14cm
Area of Ring:
Perimeter of Ring:
(its urgent)
Answers
Answer:
Area=19
perimeter=21