Use the quadratic equation y = –2x^2 + 4x +5 to complete the statements.
Answer:
x=2.87083
Step-by-step explanation:
y = –2x^2 + 4x +5
ax^2 + bx + c = 0
a= -2
b= 4
c= 5
Quadratic formula: x= -b±√b^2-4ac over 2a
1. plug in the numbers
2. x= -4 ± √4^2 -4(-2)(5) over 2(-2)
3. x= -4 ± √16+40 over -4
4. x= -4 ± √56 over -4
next simplify ratidal
x= -4 ± √2·2·2·7 over -4
x= -4 ± 2√2·7 over -4
x= -4 ± 2√14 over -4
divide both sives over four
x= -4 over -4 ± 2√14 over -4
x= -1 over -1 ± √14 over -2
answer:
x=2.87083
Maya's math teacher said that each question answered correctly on a test would be worth 5 points. Answer the questions below regarding the relationship between the number of questions correct and the score on the test.
Generate an equivalent expression for 24x+18y by factoring out the GCF
The GCF of 24x and 18y is their greatest common factor
The equivalent expression of 24x + 18y is 6(4x + 3y)
How to determine the equivalent expression?The expression is given as:
24x + 18y
Express each term as the product of 6
24x + 18y = 6 * 4x + 6 * 3y
Factor out 6 from the expression
24x + 18y = 6 (4x + 3y)
Hence, the equivalent expression of 24x + 18y is 6(4x + 3y)
Read more about equivalent expressions at:
https://brainly.com/question/2972832
If f(x) = 3^2 + 10x and g(x) = 2x-4, find (f-g)(x).
What we know:
[tex]f(x)=3^2+10x\\g(x)=2x-4[/tex]
(Also, [tex]3^2=9[/tex])
What we need to solve:
[tex](f-g)(x)[/tex] (This is equal to [tex]f(x)-g(x)[/tex])
How you have to subtract [tex]f(x)[/tex] with [tex]g(x)[/tex] to get:
[tex](f-g)(x) = f(x)-g(x) = 9+10x+2x-4 = 12x+5[/tex]
Thus, the answer would be:
[tex]12x+5[/tex]
Makayla uses 2 1/2 pounds of chocolate to make exactly 3 1/3 dozen truffles. How many dozen truffles could she make with 1 pound of chocolate? How many pounds of chocolate would she need to make 5 dozen truffles? Drag and drop the correct value into each box to make each statement true.
Answer:
Below in bold.
Step-by-step explanation:
By proportion she can make 3 1/3 * 1 / 2 1/2 truffles
= 10/3 * 1 / 5/2
= 10/3 * 2/5
= 20 / 15
= 1 1/3 dozen truffles from 1 pound chocolate.
1 1/3 dozen truffles is made from 1 pound
4/3 . . .. .. .. .. .. .. 1 pound
1 . . .. .. .. .. .. .. 3/4 ..
5 . . .. .. .. .. .. .. 3/4 * 5 = 15/4 pound of chocalote=
3 3/4 pounds chocolate.
Select all true statements about the following parallelogram
Answer:
it is B.
Step-by-step explanation:
dfghfgrhbfdhgbhgbf
In the figure below, xZ=25 and YZ=17. Find xY.
xY=
Answer:
XY = 8
Step-by-step explanation:
XY + YZ = XZ , that is
XY + 17 = 25 ( subtract 17 from both sides )
XY = 8
if sin(32)=x , then sin(4) cos(4) cos(8) cos(16)=..............
Solve using double angle trigonometric functions
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions.
How to simplify an expression by trigonometric expressions
Trigonometric expressions are formulas that utilize trigonometric functions. Trigonometric functions are a kind of trascendental functions, that is, functions that cannot be described in algebraic terms.
In this question we must simplify a given expression by using the following trigonometric formula:
sin 2x = 2 · cos x · cos x (1)
Now we proceed to expand the expression given:
x = sin 32
x = 2 · sin 16 · cos 16
x = 4 · sin 8 · cos 8 · cos 16
x = 8 · sin 4 · cos 4 · cos 8 · cos 16
Thus,
sin 4 · cos 4 · cos 8 · cos 16 = x/8
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions. [tex]\blacksquare[/tex]
To learn more on trigonometric functions, we kindly invite to check this verified question: https://brainly.com/question/6904750
The expected adult weight of a golden retriever puppy is 1.5w, where w is the puppy's weight at 6 months of age. Britney's 6-month-old golden retriever puppy weighs 40 pounds. What is the expected adult weight of Britney's puppy?
Answer:
60
Step-by-step explanation:
bceuase i got it right just multiply
Help me please. I really neeed it
Answer: You need to put the same shape as it shows there on the top.
Step-by-step explanation: I hope this helped you.
What is the area of this figure?
Answer:
119 cm²
Step-by-step explanation:
The area of a composite shape can be found by dividing it into shapes whose area formulas you know.
__
Here, the shape can be divided into 3 rectangles by extending the vertical lines through the figure. Left to right, those rectangles are ...
2 wide × 17 hign ⇒ area = (2 cm)(17 cm) = 34 cm²
10 wide × 7 high ⇒ area = (10 cm)(7 cm) = 70 cm²
5 wide × 3 high ⇒ area = (5 cm)(3 cm) = 15 cm²
Then the total area is ...
(34 +70 +15) cm² = 119 cm²
How many turning points are in the graph of the polynomial function?
2 turning points
3 turning points
4 turning points
5 turning points
[tex] \mathbb\red{4\:turning\:points} [/tex]
65%of 320+?=686
Options are:
a) 480
b) 452
c) 461
d) 475
e) none of these
Answer:
e) none of these
Explanation:
65% * 320 + ? = 686208 + ? = 686? = 686 - 208? = 478Answer:
e) None of these.
Step-by-step explanation:
Let the unknown number be x, then:
0.65*320 + x = 686
208 + x = 686
x = 686 - 208
= 478
The graph of a function is shown:
which of the following correctly identifies the set of outputs?
a: {(5,-2), (1,-1), (-2,2), (2,5)}
b: {(-2,5), (-1,1), (2,-2), (5,2)}
c: {-2, -1, 2, 5}
d: {-2, 1, 2, 5}
Answer:
B.
Step-by-step explanation:
Use (X, Y)
X being the horizontal line
Y being the vertical line
A group of friends wants to go to the amusement park. They have no more than $230 to spend on parking and admission. Parking is $8, and tickets cost $27.75 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Please help me
Answer:
230=8X+27.75X
230=35.75X
x = 6 Rounded down
8*6=48
27.75*6=166.5
48+166.5=214.5
Amount of frindes can go is 6
Step-by-step explanation:
Please help, will give 15 points!!!
A standard number cube is tossed. Find each probability.
P(even or less than 4)
Answer:
total 6
even 2, 4, 6
even or less than 4: 2, 4
p = 2/6 = 1/3
brainliest?
The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel between the 6 and the 12, if the length of the second hand is 6 inches?
Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.
3 pi inches
6 pi inches
12 pi inches
24 pi inches
Answer:
6 pi inches
Step-by-step explanation:
Entire minute is one entire circle
circumference = pi * d = pi * 2r = pi * 2 * 6 = 12 pi inches
from 6 to 12 position is half of a cirlce , so 6 pi inches
Answer:
6 pi inches
Step-by-step explanation:
IT MIGHT BE WRONG IF IT IS LET ME KNOW
have a nice day/night
-<- :)
Identify the x-intercept and the y-intercept of the graphs.
Answer:
1st picture:
y-intercept = -2
x-intercept = 3
2nd picture:
y-intercept = 1
x-intercept = 2
Step-by-step explanation:
y-intercept: the point where the graph intersects the y-axis.
x-intercept: the point where the graph intersects the y-axis.
1st picture:
y-intercept = -2
x-intercept = 3
2nd picture:
y-intercept = 1
x-intercept = 2
help quick i will give brainliest
Answer: 60 cubic units is the volume
Step-by-step explanation: multiply the base area and the height. The base area is 4 cubes and 3 cubes so equals 12 . Then the height is 5 cubes so multiply equals 60 but I am sorry I only know the volume
Answer: all answers down below ⬇️
Step-by-step explanation:
What is the volume of the prism?The volume is 56
Explain how you found the volume. You may show your explanation.I added by 5s until i got 50 units and then there were only six more
What would be the dimensions of a new right rectangular prism that has 20 fewer unit cubes than the original prism?Well if that happend the volume would be 36 if I’m right
Explain how you determined the dimensions of the new right rectangular prism.add by 5s then 4s
Find the area - HURRY PLS
Answer:
799.04
Step-by-step explanation:
if 8 is the radius, use pi(r)^2 to get 64 pi is the area of the circle, plug in 3.14 and you will get 200.96 - 50(20) which is 1000 so you get 779.04
I need help with this
Answer:
Class 1.
Step-by-step explanation:
Class 1 has the greater interquartile range.
Answer:
Class #2
Step-by-step explanation:
IQR of Class #1:
85 - 72 = 13
IQR of Class #2:
90 - 70 = 20
Class #2 has a greater IQR!
Hope this helps!
Find the area - PLSS HELPP AND HURRY PLS
Answer:
40
Step-by-step explanation:
its just 4 x 10, move the triangle to the other side
unless its not a triangle lol
then i have no idea
pleessss helpppp for brainlyyyyy
$37.51 - the third option above
Step-by-step explanation:
A
1600 x 1.053^3= 1868.12
B
1600x1.06^3 =1905.63
Difference
1905.63-1868.12= 37.51
$37.51
Hope this helps!
What is the slope of a line that goes through the points (3, 7) and (8, 11)
Question 4 options:
117
54
−83
45
Answer:
[tex]\sf \dfrac{4}{5}[/tex]
Step-by-step explanation:
(3,7) ⇒ x₁ = 3 & y₁ = 7
(8 ,11) ⇒ x₂ = 8 & y₂= 11
Slope
[tex]\boxed{Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]
[tex]\sf =\dfrac{11 -7}{8 -3}\\\\\\ = \dfrac{4}{5}[/tex]
Express as single logarithm.
1/2 log (x) - 2 log (2y) + 3 log (z)
Answer:
[tex]\log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)[/tex]
Step-by-step explanation:
[tex]\dfrac12\log(x)-2\log(2y)+2\log(z)[/tex]
[tex]\textsf{Apply log power rule}: \quad n \log(x)=log(x)^n[/tex]
[tex]\implies \log(x)^{\frac12}-\log(2y)^2+\log(z)^2[/tex]
[tex]\textsf{Apply exponent rule}: \quad(ab)^c=a^cb^c[/tex]
[tex]\implies \log(\sqrt{x})-\log(4y^2)+\log(z^2)[/tex]
[tex]\textsf{Apply log quotient rule}: \quad \log(x)-\log(y)=log(\frac{x}{y})[/tex]
[tex]\implies \log\left(\dfrac{\sqrt{x}}{4y^2}\right)+\log(z^2)[/tex]
[tex]\textsf{Apply log product rule}: \quad \log(x)+\log(y)=log(xy)[/tex]
[tex]\implies \log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)[/tex]
In a school, 5/8 of the students are boys. If there are 240 girls, find the number of boys in the school.
Answer:
400 boys
Step-by-step explanation:
First use the fraction along with the given information (240 girls)
If 5/8 of the school are boys, then that means 3/8 of the school's students are girls. 3/8 happen to be equal to 240, which means we can conclude that 1/8 is equivilant to 240/3 = 80
80 multiplied by 5 = 400
There are 400 boys in the school. (640 total students in school)
Tip: Easy way to check answer is by putting the boys over the total students to find the ratio, and if it matches, your answer is correct. 400/640 = 0.625, which equals 5/8
Hope this helps :)
You received an $8500 bonus, which was 12% of your salary. What is your annual salary with this bonus?
$79333
Step-by-step explanation:[tex]salary:x[/tex]
[tex]12\%x=8500[/tex]
[tex]x=8500\div 12\%[/tex]
[tex]x=70833[/tex]
[tex]70833+8500=\$79333[/tex]
I hope this helps you
:)
HELPP PLEASE!!!! I have a screenshot of the question because I cant copy and paste it!
2³+3²-3×4-5²÷5+(7×4)
= 8+9-3×4-25÷5+7×4
=8+9-12-5+28
=28
The graph of g(x)=(x-12)^2 is the graph of f(x)=x^2 translated ____ units
[tex] \black{ \rule{1000pt}{5555555pt}}[tex] [/tex]
Find the surface area of the ball
shown. Use 3.14 for a.
Radius is 16 cm
Ball is sphere
r=16cmSurfAce area:-
4πr^24π(16)^24π(256)1024πcm^23215.36cm^2Answer:
Formula
Surface area of a sphere:
[tex]\sf SA=4\pi r^2[/tex] (where r is the radius)
Given information
[tex]\pi[/tex] = 3.14
r = 16
Final solution
Substitute given values into the equation and solve:
[tex]\sf \implies SA=4 \cdot 3.14 \cdot 16^2[/tex]
[tex]\sf =3215.36 \ cm^2[/tex]