If -2 is a root of the quadratic equation x²-5x+c find the value of c
Answer:
Step-by-step explanation:
P(x)= x^2-5x+c=0
P (-2)= (-2)^2-5 (-2)+c=0
= 4+10+c=0
=14+c=0
C=(-14)
Answer:
[tex]\fbox{\begin{minipage}{4em}c = -14\end{minipage}}[/tex]
Step-by-step explanation:
Given:
A quadratic equation: [tex]x^{2} - 5x + c = 0[/tex], with [tex]x =-2[/tex] is a solution.
Solve for:
Value of c
Step 1: define the problem
If [tex]x = -2[/tex] is a solution of equation [tex]f(x) = 0[/tex], then [tex]f(-2) = 0[/tex]
Step 2: Perform the calculation
Substitute [tex]x = -2[/tex] into original quadratic equation, we have:
[tex](-2)^{2} - 5(-2) + c = 0[/tex]
Perform the square and multiplication:
[tex]4 + 10 + c = 0[/tex]
Transfer all of numbers to the right side, except c:
(notice for the change in sign of numbers)
[tex]c = (-4) + (-10)[/tex]
Perform the sum on the right side to get c:
[tex]c = -14[/tex]
Hope this helps!
:)
Connor and Matthew each live in a different city. Each Thursday for ten weeks, they recorded the high temperature. The data below is the high temperature, in Fahrenheit, that they recorded. Connor's data: 50, 51, 50, 66, 60, 66, 71, 70, 72, 65, and 70. Matthew's data: 72, 82, 76, 84, 77, 73, 70, 67, 67, 56, and 65. What is the range of temperatures in Connor's data?
Answer:
22
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range.
Hope this helps,
plx give brainliest
Answer:
For Connor the range is 21
Subtract the highest to the lowest
[tex]71-50=21[/tex]
Hope this helps
If incorrect try 22 :)
When thrown upward at a velocity of 16 feet per second, the height f of
an object in feet at the end of t seconds is given by the formula f =-16t+16t?
After approximately how many seconds will an object reach a height of 32 feet?
5 seconds
2 seconds
3 seconds
None of the choices are correct.
Answer:
b) 2 seconds
t=2 seconds will an object reach a height of 32 feet
Step-by-step explanation:
Explanation:-
Given height f =-16t+16t² ...(i)
Differentiating equation (i) with respective to 't'
[tex]\frac{df}{dt} = -16(t) +16(2t)[/tex]
Equating Zero
- 32 t + 16(2t) =0
- 16 t = -32
t = 2 seconds
Given height f =-16t+16t²
f = - 16 (2) +16(4) = -32 +64= 32feet
Conclusion:-
t=2 seconds will an object reach a height of 32 feet
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. How much was the error in his estimate? Error = (Approximate value) − (Exact value) -$175 -$25 $25 $175
Answer:
The error of his estimate was $25.
Step-by-step explanation:
The error of an estimate is given by the estimated value subtracted by the real one. Since John estimated that he would spend $100 and he only spent $75 than the error of his estimate is:
[tex]\text{error} = 100 - 75\\\text{error} = 25[/tex]
The error of his estimate was $25.
Answer:
C
Step-by-step explanation:
i got itright
A survey showed that the average daily expenditure ( in rupees) of 24 household of a city were 215 , 248 , 225, 237, 227, 240, 238, 215, 214, 249, 236, 244, 221, 219, 232, 216, 242, 220, (230, 238, 228, 225, 211,221. What is the frequency of the class interval 225 – 230 (EXCLUDING 230)
Answer:
The frequency of the class interval 225 – 230 is 4
Step-by-step explanation:
The frequency of the class interval can be seen as how many times that elements within the class interval appeared.
To do this we will have to count out all the numbers that are bigger than 225 but less than 230. These are the elements in this class (225 - 230).
They include:
225, 227 228, 225
Hence there are 4 elements in this class.
The frequency of the class interval 225 – 230 is 4
Solve x* - 3x2 + 2 = 0 using substitution.
Answer:
x = -2/3 x=1
Step-by-step explanation:
We cant solve by substitution with just one equation
-3x^2 + x +2=0
Factor out a negative
-(3x^2 -x-2) = 0
Divide by negative 1
(3x^2 -x-2) = 0
Factor
(3x +2) (x-1)=0
Using the zero product property
3x+2 =0 x-1 =0
3x= -2 x=1
x = -2/3 x=1
Answer:
[tex]x = \frac{2}{3} \\ x = - 1[/tex]
Step-by-step explanation:
[tex]x - 3 {x}^{2} + 2 = 0 \\ - 3 {x}^{2} + x + 2 = 0 \\ - 3 {x}^{2} - 3x + 2x + 2 = 0 \\ - 3x(x + 1) + 2(x + 1) = 0 \\ ( - 3x + 2)(x + 1) = 0[/tex]
[tex] - 3x + 2 = 0 \\ - 3x = - 2 \\ \frac{ - 3x}{ - 3} = \frac{ - 2}{ - 3} \\ x = \frac{2}{3} [/tex]
[tex]x + 1 = 0 \\ x = - 1[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
the square root of 7/16
Answer:
[tex] \sqrt{7} [/tex]
over 4
square the top and bottom separately and 16 squared is four but seven can't square. leave the top as seven squared and the bottom as just four
Help me quick please
Answer:
if i counted correctly its 15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Ok, so on this chart, each blue dot represents one person, so add up all the dots, and we get 15.
For the dilation with center (0, 0) shown on the graph, your friend says the scale factor is 4.
Is your friend correct or no? If he is incorrect, What is the correct scale factor? and what mistake did he likely make?
What is the value of x? Round to the nearest tenth and show your work
Answer: A. mark as brainliest
Step-by-step explanation: dont need to
You select a marble without looking and then put it back. If you do this 10 times, what is the best prediction possible for the number of times you will pick a pink or a green marble?
The probability of selecting either a pink or green marble from the 10 marbles is; 2/10
What is the probability of selection?
We are told that you try to select a marble ten times.
Now, we want to try to find out the best probability of selecting either a pink or a green marble.
Now, it's possible that there are other marbles but if we want to know just for this two amrbles, then we can write the probability as;
P(either pink or green marble) = 2/10
Read more about Probability of Selection at; https://brainly.com/question/251701
Answer:
3
Step-by-step explanation:
the circumference of a circle is 125.6m find its radius
Step-by-step explanation:
we have,
Circumference of Circle (C) = 2πr
or, 125.6 = 2πr
or, r = 125.6/2π
Ans: r = 19.9898 ~ 20 m
Which of the following is Tj length of GF given that figure DEFG is parallelogram?
Plz help
[tex]answer \\ = 12 \\ please \: see \: the \: attached \: picture \\ hope \: it \: helps[/tex]
What is the domain of f(x) = 2|x − 1| + 3? A. {x | x ≥ 3} B. {x | x < 1} C. {x | x ≤ -1} D. {x | x = all real numbers}
Answer:
all real numbers
Step-by-step explanation:
f(x) = 2|x − 1| + 3
The domain is what values can we put in for x
There is no limit to what we can put in for x
therefore the domain is all real numbers
A nursery builds protective cylindrical covers, as shown, to protect seedlings from frost. The cover has a top, but no bottom. How many square feet of flexible plastic will be needed to build three dozen of the covers? The flexible plastic is sold by the square foot. the radius is 4 in and the height is 10 in
414.48 square feet is needed to make 3 dozen of the covers.
Step-by-step explanation:Step 1: Find the circumference, perimeter, of the circle.To find the circumference, you multiply the 4 by π, and π is 3.14, and you get 12.56.
Step 2: Find the area of the side, not including the circle.The 12.56 is literally the length of the side. The width is the height of the cover which is 10 inches. 12.56 multiplied by 10 is 125.6 square inches.
Step 3: Add them up.
125.6 + 12.56 is 138.16
Step 4: Multiply 138.16 by three dozen (36 [a dozen is 12]).138.16 multiplied by 36 is 4973.76 square inches.
Step 5: Convert 4973.76 square inches to square feet.12 inches is 1 foot so we divide 4973.76 by 12. You get 414.48 square feet.
Jamie knows the lengths of 2 sides of a triangle are 8
and 12. Use the Triangle Inequality Theorem to determine
the possible values for the length of the third side of Jamie's
triangle.
[tex]answer \\ 4 < s < 20 \\ solution \\ 12 - 8 < s < 12 + 8 \\ = 4 < s < 20 \\ hope \: it \: helps[/tex]
Please answer correctly !!!! Will mark brainliest answer !!!!!!!!!
Answer:
D
Step-by-step explanation:
[tex](4x-7)^2+16=40x-70 \\\\(p)^2+16=10(p) \\\\p^2-10p+16=0[/tex]
Hope this helps!
Help por favor!!!!!!!!!
Answer:
15 cm²
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}[/tex] * base * height
Base = 10 cm
Height= 3 cm
Area = [tex]\frac{1}{2}[/tex] * 10cm * 3cm
= 5cm * 3cm
= 15cm²
What is the simplified expression for the expression below? 4(x + 8) + 5(x – 3)Which expression is equivalent to 6(x – 4)
Answer:4x+32+5x-15
Step-by-step explanation: that’s the simplified equation, you would just have to distribute the 4 to its own equation and the 5 into its own equation.. but i think the second part of ur question is missing..
Answer:
C. 9x+17
Step-by-step explanation:
The system of equations and is shown on the graph below. What is a reasonable estimate for the solution? (1.1, –1.9) (–1.9, 1.1) (2.1, –3.9) (–3.9, 2.1)
Answer:
A: (1.1, –1.9)
tell me if im wrong pls.
Answer:
A
Step-by-step explanation:
I took the test
in a Gallup youth survey done in 2000, 501 randomly selected American teenagers were asked how well they get along with their parents. A survey result was that of 270 teenagers said they get along "very well" with their parents. Use this to estimate the proportion who would say they got along "very well" with their parents, including a margin of error.
The margin of error would be 1 / √n, where n is the number of students asked.
Margin of error = 1/√501 = 0.0446
Multiply by 100 to change to a percent:
0.446 x 100 = 4.46%
Rounding may be off slighly, so it looks like b would be the correct answer.
(1-√-4)(-3-√-25) with steps pls
Answer:-14
Step-by-step explanation:
(1-√-4)(-3-√-25)
[(1*-3)-(1*√-25)-(√-4*-3)-(√-4*√-25)]
(-3)-(-5)-(6)-(10)
-14
Answer:
[tex]-13+i[/tex]
Step-by-step explanation:
[tex](1-\sqrt{-4} )(-3-\sqrt{-25} )[/tex]
[tex]\left(1-2i\right)\left(-3-5i\right)[/tex]
[tex]\left(1\times \left(-3\right)-\left(-2\right)\left(-5\right)\right)+\left(1\times \left(-5\right)+\left(-2\right)\left(-3\right)\right)i[/tex]
[tex]=-13+i[/tex]
What is the simplified form of the fraction below 15/25
Answer:
[tex]\frac{15}{25}[/tex] ÷ [tex]\frac{5}{5}[/tex] = [tex]\frac{3}{5}[/tex]
Answer:
3/5
Step-by-step explanation:
Both of them are multiples of five by dividing them u get the answer
3/5
Find the surface area of the polyhedra
pls!! show how you got the surface area
Answer:
384m^2
Step-by-step explanation:
surface area of cube = area of 1 side x 6
area of 1 side = 64m^2
so, surface area = 64 x 6 = 384m^2
Please mark brainiest
the sides of a triangle are in the ratio, 4:5:7 and its perimeter is 64cm. find its area , correct to 2 decimal places
Answer:
Step-by-step explanation:
First find all the sides of the triangle:
Total parts: 4+5+7 = 16
cm per part = 64/16 = 32/8 =4cm
therefore, all measures: 16cm, 20cm, 28cm.
Answer:
since you have not specified the height, I will use any no.
= 0.16
Step-by-step explanation:
perimeter is the distance round
add the ratios; 4+7+5=16
Ratio 16= Perimeter 64cm
R.16=64cm, find all the ratios
start with ratio 4
R.16=64cm
R.4×64cm÷16=16 cm
R.5×64÷16= 20 cm
R.7×64÷16=28 cm
A=1/2× b×h
1/2×16×20= A= 160cm2
2 dp, divide
0.16
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation
Cluster- a group of points that close together
symmetry- data is balanced on opposite sides of a point or line
spread- how close or far apart the values are in a data set
center- the middle of a data set
gap- a space between data values
An angle in standard position crosses the unit circle at (0, - 1). Which could be the angle measures?
It could be 270, -90 in degrees
or if you're in radians it would be 3/2 pi or -1/2 pi
Simplifying 8x+7-2x-4 completely
Answer:
6x+3
Step-by-step explanation:
8x+7-2x-4
Combine like terms
8x -2x + 7-4
6x +3
The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people
Answer:
square table, round tables and 12
Step-by-step explanation:
The variable x represents the number of
✔ square tables
.
The variable y represents the number of
✔ round tables
.
If y = 9, find the value of x. The committee needs
✔ 12
square tables.
Lowe Senior High School’s hockey team won 12, lost 5, and tied 3 of their first 20 games this season. Which outcome is most likely for the team’s next game? Explain your reasoning. 30 points!!