Use the quadratic equation y = –2x^2 + 4x +5 to complete the statements.
Answers
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
Related Questions
Given A= (-3,6) and B=(10,-8) what is the length of AB
Answers
[tex]\text{Given that,}\\\\A(x_1,y_1) = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~=\sqrt{(10+3)^2 + (-8-6)^2}\\\\~~~~~=\sqrt{13^2 + 14^2}\\\\~~~~~=\sqrt{365}\\\\~~~~~=19.105~ units[/tex]
before getting to school john has a few errands to run john has to walk 5 blocks to the galley and 9 blocks to the library before walking the final 7 blocks to arrive at school if john has already walked 12 blocks how many more blocks must he walked before arriving school
Answers
Answer:
9 blocks
Step-by-step explanation:
The total of what John has already walked and the number more he must walk will be equal to the number he has to walk to get to school.
12 + more = 5 + 9 + 7
more = 9 + 5 + 7 - 12 . . . . . subtract 12 from both sides
more = 9
John must walk 9 blocks more.
_____
We recognize that 5+7 = 12, so that last part of the sum totals zero.
Please help me ASAP.
Answers
The 3 inside angles of a triangle need to equal 180.
X = 180 - 70 - 20 = 90
x = 90 degrees
write a word phrase that means the samme as x/4
Answers
At noon, there are 700 juniors and 1,100 seniors at a college fair. After 12:00 p.m., 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes.
What is the ratio of juniors to seniors at 2:00 p.m. in fraction form?
Answers
The ratio of juniors to seniors at 2:00 p.m. in fractional form is 43 / 37
What is ratio?Ratio is a term that is used to compare two or more numbers.
Therefore,
At 12 pm(noon) there are 700 juniors and 1100 seniors at the college fair. After 12:00 pm 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. Therefore,
The Junior population at 2:00 pm is as follows;
12 pm to 2pm is 120 minutesThen, 120 / 15 = 8
20 × 8 = 160 students
The junior student increased by 120 by 2pm.
The Senior population at 2:00 pm is as follows;
45 × 8 = 360 students
360 senior student left by 2 pm.
Therefore,
Junior student by 2pm = 700 + 160 = 860 students
Senior student by 2 pm = 110 - 360 = 740 students
The ratio of juniors to seniors at 2:00 p.m. in fraction form is 860 / 740 = 43 / 37
learn more on ratio here: https://brainly.com/question/20331008
What is the cube of 6?
A. 216
B. 42
C. 36
D. 18
Answers
Answer:
A
Step-by-step explanation:
Cubes are numbers that are multiplied by itself three times so 6 times 6 times 6 is 216
[tex]4x^{3} + x8x^{2}[/tex]
Evaluate
Answers
Answer:
12x^3
Step-by-step explanation:
they're trying to confuse you on purpose, but x*8x^2 is the same thing as 8x^3
just add them and you're set
9. The value of U.S. postage stamps increases ~5% per year. The current price is 55C. Estimate what the price will be in 20 years
Answers
Answer:
$1.46
Step-by-step explanation:
We can use the principal of compound interest to solve this with the formula:
[tex]A = P(1+\frac{r}{n})^{nt}[/tex]
where P = initial principal
r = interest rate
n = number of times applied per time period
t = time periods elapsed
In this specific case, P = 0.55, r = 0.05, n = 1, and t =20
[tex]0.55(1+\frac{0.05}{1})^{1*20} = 0.55(1.05)^{20} = 0.55(2.65) = 1.46[/tex]
A pillar is fixed in the centre of a circular meadow with diameter of 60 metres. The angle of elevation of its top was found to be 60%, when observed from a point of the circumference of circular meadow. Find the height of the pillar from the ground.
Answers
Answer:
17 meters
Step-by-step explanation:
|\ angle = 60 degrees here of triangle
| \ <-- digitaly drawn triangle
|___\
cirlcle diameter is 60 meters, since pillar is at the center then the distance of the pillar to the edge of the circlular meadow is (60/2) 30 meters.
30 meters is opposite of the angle.
The height of the pillar is adjacent to the angle so use tangent to solve
Tan(60) = 30/x
Tan(60) = 1.7; make sure that calculator is in degrees and not in radians to not get an incorrect value
1.7 = 30/x --> 1.7x = 30
x = 30/1.7
x = 17.3205 meters
using 2 significant figures gives us 17 meters
In a survey, 125 people were asked to chose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 3
.
Answers
Answer:
There is no table, so I'll just calculate the theoretical.
125/5=25.
So, 20% to get a card with the number 3
please find the area
Answers
Answer:
254.34 m²
Step-by-step explanation:
The formula used to find the area of a circle is π · r².
The radius of a circle is half of it's diameter.
Using the given values, we can solve:
3.14 · 9²
3.14 · 81
= 254.34 m²
hope this helps!
Answer:
Area = 254.469004940773 m²
Step-by-step explanation:
formula : (area of a circle)
Area = π × r²
where r is the radius of the circle
[tex]\large \text r = \frac{\large \text Diameter \ of \ the \ circle }{2} = \frac{18}{2} =9\ m[/tex]
then
Area = π × 9²
= π × 81
= 254.469004940773 m²
Use the Pythagorean Theorem to determine if a triangle with side lengths √2 ft., √3 ft., √5ft. is a right triangle.
A:) Yes it is a right triangle
B:) No it is not a right triangle
Answers
Answer:
A:) Yes it is a right triangle
Step-by-step explanation:
[tex]~~~~\left(\sqrt{5} \right)^2= \left(\sqrt{2} \right)^2+\left(\sqrt{3} \right)^2\\\\\implies 5=2+3\\\\\implies 5=5[/tex]
Answer:
A
Step-by-step explanation:
using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = [tex]\sqrt{5}[/tex] , and ([tex]\sqrt{5}[/tex] )² = 5
([tex]\sqrt{2}[/tex] )² + ([tex]\sqrt{3}[/tex] )² = 2 + 3 = 5
Thus the 3 sides form a triangle
A figure was moved 5 units to the right, then a
mirror image was made. Which transformations were used? Rotation, dilation, reflection, translation
Answers
Answer:
Step-by-step explanation:
First a translation then a reflection.
Choose the system of equations that best represents the situation below:
The sum of two numbers is 25 choose the system that best represents the situation below and their difference is 7. Find the two numbers.
A. x + y = 18
B.x + y = 25
2 + y = 7
C. x - y = 25
2 - y = 7
D. x+y= 25
x - y = 7
Answers
Answer: x = 16, y = 9
D. x + y = 25
x - y = 7
Step-by-step explanation:
Let x be a number and y be another. First, I will write the problem out using equations. Then I can solve by graphing, see attached. Their point of intersection is the answer, x = 16 and y = 9.
The sum of two numbers is 25
x + y = 25
Their difference is 7
x - y = 7
D. x + y = 25
x - y = 7
Scrooge Mc duck has $16 in savings at the beginning of a month she then decides to save a dollars every week write an inequality in its simplest terms that represents the solution describing how many weeks it takes Scrooge to accumulate at least $120
Answers
Answer:
120 <= 16+(w*d)
108<=d*w
Step-by-step explanation:
let w = weeks and d = dollars saved per week
5 7
What is the slope of the equation Y=74-7?
=
O -7
o -
O
O 5
Answers
Hey there!
y = 74 - 7
START at 74 and go back 7 spaces to your left and you should be left on your result of the y-value
y = 67
Therefore, your answer is: y = 67
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answers
Answer:
It's 3.5
(from the answer 3.464101615)
Hope this helps!
4 + x^2 = 16
-4 -4
√ X^2 = √ 12
X = √ 4 and √ 3
X = 2 √ 3
X = 3.46
What is the value of x if x * x + 2x - 35 = 0?
Answers
Answer:
x=5 or -7
step by step:
x2+2x−35=0
Step 1: Factor the left side of the equation.
(x−5)(x+7)=0
Step 2: Set factors equal to 0.
x−5=0 or x+7=0
x=5 or x=−7
Answer:
Your X value would equal to:
5 or -7
(images attached below show a step by step explanation)
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
PLS HURRY AND TY!!!
Write eight and three hundred twenty-four thousandths in standard form.
Answers
Answer:
0.324 inch
Step-by-step explanation:
When asked to write two hundred thousandths as a decimal, three students gave three different answers as shown below. so you have to find by decimals..
Question below! :)
Brainliest!
Answers
The angle shown is less than 90 degrees so it is an acute angle.
answer: acute
1/secA+tanA = 1-sinA/cosA
Answers
Answer:
Below.
Step-by-step explanation:
1 / secA+tanA = 1 / [1/cosA+sinA/cosA))]
= 1/ [(1 + sinA)/cosA]
= cosA/(1+sinA)
Now check if this is identical to 1-sinA/cosA:
1-sinA/cosA = cosA/(1+sinA)
Cross multiply:
(1-sinA)(1+sinA) = cos^2A
1 - sin^2A = cos^2A
sin^2A + cos^2A = 1
This is a known idenity.
So the original identity is true.
Choose the correct answer in each number.
1. It is the sum of all areas of lateral faces
and bases of solid figure.
A. Base area B. Lateral area C. Surface area D. None of the above
2. A flat pattern that you can fold to form a solid figure is called a/an _____.
A. Area B. Edge C. Face D. Net
3. The surface area of a cube is _____ times the area of its face.
A. Three B. Four C. Five D. Six
4. In a cylinder, the edge or length of the lateral surface is equal to _____ of its base.
A. Circumference B. Perimeter C. Radius D. All of the above
5. The lateral surface of a cylinder when it is unrolled will be _____
A. Rectangle B. Trapezoid C. Triangle D. All of the above
6. The solid figure that has surface area equivalent to for times the areas of circles of the same radii is _____.
A. Cube B. Cone C. Tetrahedron D. Sphere
7. To get the lateral area of a cone, we use the formula _____.
A. L.A.=πr2 B. L.A.=πrs C. L.A.=πrh D. L.A.=rh
8. The sum of the area of the square base and four triangular lateral faces is the surface area of _____.
A. Cube B. Rectangular prism C. Pyramid D. Cone
9. The unit for surface area is _____.
A. Cubic unit B. Linear unit C. Square unit D. Weight unit
10. A cone has a radius of 5 cm and slant height of 7.1 cm. What is the unit of measure appreciate for its surface area?
A. Square milimiter (mm2) B. Square centimeter (cm2) C. Square decimeter (dm2) D. Square meter (m2)
Answers
Answer:
A
B
A
C
D
C
A
B
B
D
Step-by-step explanation:
Simplify 4 - 2m + 4m +1
Answers
Answer: 2m+5
Step-by-step explanation:
4−2m+4m+1
Combine −2m and 4m to get 2m.
4+2m+1
Add 4 and 1 to get 5.
5+2m
Answer: 2m + 5
Step-by-step explanation:
Just do:
4 - 2m = 2m4m + 1 = 5So, 2m + 5
What's the q1 and q2????
Answers
Answer:
Q1-298
Q2-422
Step-by-step explanation:
How long does this lease last?
Answers
Look At the picture I am not sure how to calculate the area
Answers
Answer:
height = 5.33 m (nearest hundredth)
area of wall = 41.66 m² (nearest hundredth)
Step-by-step explanation:
To find the height of A above the ground, find the height of the triangle and add it to the height of the rectangle.
The dashes on the sides of the triangle mean they are equal in length. Therefore, this triangle is an isosceles. If we draw a line down the center of the triangle to create 2 right triangles, their top angles will be 65° (half of 130°) and they will each have a base length of 5 m (see attached diagram).
To find the height, use the tan trig ratio:
[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] = angleO = side opposite the angleA = side adjacent to the angleGiven:
[tex]\theta[/tex] = 65°O = 5 mA = h[tex]\sf \implies tan(65)=\dfrac{5}{h}[/tex]
[tex]\sf \implies h=\dfrac{5}{tan(65)}[/tex]
[tex]\sf \implies h=2.331538291...[/tex]
Therefore, the height of A above the ground:
⇒ height = 3 + 2.331538191 = 5.33 m (nearest hundredth)
----------------------------------------------------------------------------------------
To find the area of the wall, sum the area of the rectangle and the area of the triangle.
Area of rectangle = width x height
= 3 x 10
= 30 m²
Area of triangle = 1/2 x base x height
= 1/2 x 10 x 2.331538191
= 11.65769145 m²
Total area of wall = 30 + 11.65769145 = 41.66 m² (nearest hundredth)
find the area with 4cm, 8cm, 16cm
Answers
Answer:
u cant find the area if you dont add a picture or say if the cm is the width or the lenth.
L BOZO
Step-by-step explanation:
Answer:
PLEASE ADD PICTURE OR NOT ANSWER!
Step-by-step explanation:
We don’t know the problem. Pls apply it.
how to solve (4s - 5t)²
Answers
Answer:
Step-by-step explanation:
angle properties pls help
Answers
Answer: Which question I’ll do a
Step-by-step explanation:
Since it is turned into an 100 degree angle you do length times width and you will get your answer 90 degrees
Was this helpful
A regular octagon has an apothem of approximately 4.0 cm and a perimeter of approximately 26.4 cm. Find the area of the octagon.
Answers
Answer:
[tex]52.8cm^{2}[/tex]
Step-by-step explanation:
Perimeter = 26.4 cm
Apothem = 4.0 cm
The area of an regular octagon can be defined as the [tex]\frac{perimeter*apothem}{2}[/tex]
when we plug in our values we get the equation [tex]\frac{26.4cm*4.0cm}{2}=52.8cm^{2}[/tex]
