Which equation could be solved using the graph above?
X^2+4x+3=0
X^2-4x+3=0
X^2-6x+9=0
X^2-1=0
Answers
Answer:
X²+4x+3=0
Step-by-step explanation:
y = X² + 4x + 3
y = 0
Solution:
x = -3, x² = -1
Steps:
X² + 4x + 3 = 0
write 4x as a sum
X²+ 3x + x + 3 = 0
Factor out x from expression
X (x + 3) + x + 3 = 0
Factor out x + 3 from expression
(x + 3) x (x + 1) = 0
When the product of factors equals 0, at least one factor is 0
x + 3 = 0
x + 1 = 0
solve for x
x = -3
x + 1 = 0
solve for x
x = -3
x = -1
The final solutions are
X = -3, X² = -1
Answer:
Option A.
Step-by-step explanation:
The vertex form of a parabola is
[tex]y=a(x-h)^2+k[/tex]
where, (h,k) is vertex and a is a constant.
The vertex of the parabola is (-2,-1).
Substitute h=-2 and k=-1 in the above equation.
[tex]y=a(x-(-2))^2+(-1)[/tex]
[tex]y=a(x+2)^2-1[/tex] .... (1)
The parabola passes through the point (0,3). So, it must be satisfy by the point (0,3).
[tex]3=a(0+2)^2-1[/tex]
[tex]3+1=4a[/tex]
[tex]a=1[/tex]
Substiturte a=1 in equation (1).
[tex]y=1(x+2)^2-1[/tex]
On simplification we get
[tex]y=x^2+4x+4-1[/tex]
[tex]y=x^2+4x+3[/tex]
It means the equation [tex]x^2+4x+3=0[/tex] could be solved using the given graph.
Therefore, the correct option is A.
Related Questions
5. Greg says that 3.3 is a rational number. Kari saks 3.3 is not a terminating
decimal. Who is correct and why? Lesson 1-2
Answers
9514 1404 393
Answer:
Greg is correct. 3.3 has a finite number of digits
Step-by-step explanation:
A "non-terminating" decimal is one with an infinite number of digits. If you can actually count the digits, it is a terminating decimal. 3.3 has 2 digits, so is a terminating decimal. Greg is correct.
__
A terminating or repeating decimal is a rational number.
[tex]3.3 \quad\text{a terminating decimal equal to $\dfrac{33}{10}$}\\\\ 3.\overline{3} \quad \text{a non-terminating rep}\text{eating decimal equal to $\dfrac{10}{3}$}[/tex]
Using the concept of rational numbers, it is found that 5.3 is a rational number, as it is a terminating decimal, and thus, Greg is correct.
-------------------------------------------
Number sets are used to solve this question.
Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...} Integer numbers: Number without decimals, that can be positive of negative, so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339...., or 0.3333333...... Real numbers: Rational plus irrational.-------------------------------------------
3.3 is a terminating decimal, as it has only one digit after the decimal point, thus, it is a rational number, and Greg is correct.[tex]3.3333 \approx \frac{10}{3}[/tex] is not terminating, but this problem is about 3.3.A similar problem is given at https://brainly.com/question/13325494
What is the answer to this expression?
Answers
Step-by-step explanation:
4 (3^2-2^3)^3
4 (9-8)^34×1^34×14Answer:
4
Step-by-step explanation:
7:( 4/11 m)=56:3.2 solve.
Answers
Answer:
m=1.1
Step-by-step explanation:
Divide one side by 8, then you get 7:(4/11 m)=7: 0.4
Basically then 4/11 m=0.4
4/11 m=2/5
m=(11/4)(2/5)
m=11/10, 1 1/10, 1.1
The value of m that satisfies the proportion 7:(4/11 m) = 56:3.2 is 1.1
How to determine the solution to the expressionFrom the question, we have the following parameters that can be used in our computation:
7: (4/11m) = 56 : 3.2
Cross-multiply the proportions
7 * 3.2 = (4/11 m) * 56
Simplify both sides:
22.4 = (4/11 m) * 56
Divide both sides by 56
(4/11 m) = 22.4 / 56
Simplify the right side
(4/11 m) = 0.4
Multiply both sides by (11/4)
m = 0.4 * (11/4)
So, we have
m = 1.1
Hence, the calculated value of "m" that satisfies the proportion 7:(4/11 m) = 56:3.2 is 1.1
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How do I solve 80+(-22 4/15)
Answers
Final answer:
The expression 80 + (-22 4/15) is solved by converting the mixed number to an improper fraction, aligning the fractions by the same denominator, and then adding them to get 58 4/15 as the result.
Explanation:
To solve the expression 80 + (-22 4/15), follow these steps:
First, convert the mixed number -22 4/15 into an improper fraction. To do this, multiply the whole number by the denominator and add the numerator: (-22 × 15) + 4 = -330 + 4 = -326, so the mixed number becomes -326/15.
Next, since 80 is a whole number, we can convert it into a fraction with the same denominator of 15 to make it easier to add to -326/15. To do that, multiply 80 by 15/15, which is the equivalent of 1, to get the fraction 1200/15.
Now, add the two fractions: 1200/15 + (-326/15) = (1200 - 326)/15 = 874/15.
This fraction can be simplified back into a mixed number by dividing the numerator by the denominator: 874 ÷ 15 = 58 with a remainder of 4, so the mixed number is 58 4/15.
Therefore, the solution to the expression 80 + (-22 4/15) is 58 4/15.
A rectangle and a triangle have the same area. If their bases are the same lengths, how do their heights compare? Justify your answer.
Answers
The triangle's height would have to be 2 times that of the rectangles. To know this, you canlook at the formulas for the Area of each shape.
Rectangle: bh
Triangle: bh/2
A triangle is just a rectangle cut in half. In order for the areas to be the same asleep as the bases, the only way it can be true is if the height were 2 times larger than the height of the rectangle.
17. Tina runs at a rate of 8 miles per hour. At that rate,
how many miles will she run in 12 minutes?
A. Í
B.
C. 1
Answers
Answer:
1.6 miles
Step-by-step explanation:
60/12=5
which will mean 1/5=.2
.2x8=1.6 miles
Tina's running rate is 8 miles per hour. In 12 minutes, she will cover a distance of 1.6 miles.
To calculate the number of miles Tina will run in 12 minutes, we need to convert the time to hours since her rate is given in miles per hour.
Since there are 60 minutes in an hour, we divide 12 minutes by 60 to convert it to hours:
12 minutes / 60 = 0.2 hours
Now, we can calculate the distance Tina will run by multiplying her rate by the time:
Distance = Rate * Time = 8 miles per hour * 0.2 hours
Distance = 1.6 miles
Therefore, Tina will run 1.6 miles in 12 minutes.
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WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!!!!!
The vertices of pentagon PQRST are P(0, 1), Q(2, 2), R(5, 3), S(4, 0), and T(1,−1). If pentagon PQRST is reflected over the y-axis which vertex will NOT change its coordinates?
Answers
Answer:
P(0,1)
Step-by-step explanation:
The vertices of pentagon PQRST are P(0, 1), Q(2, 2), R(5, 3), S(4, 0), and T(1,−1).
If a figure reflected across y-axis, then the relation between preimage and image is
[tex](x,y)\rightarrow (-x,y)[/tex]
If the pentagon PQRST reflected over the y-axis, then vertices of image are
[tex]P(0,1)\rightarrow P'(0,1)=P[/tex]
[tex]Q(2,2)\rightarrow Q'(-2,2)[/tex]
[tex]R(5,3)\rightarrow R'(-5,3)[/tex]
[tex]S(4,0)\rightarrow S'(-4,0)[/tex]
[tex]T(1,-1)\rightarrow T'(-1,-1)[/tex]
Therefore, only vertex P will not change its coordinates after reflection.
Which of the following is a rational number? square root of 15, square root of 16, square root of 17, square root of 18
Answers
Answer:
16 is a rational number 16/1.
Step-by-step explanation:
If you take the square root of 15 it will be 3.8.. but doesnt repeat, square root of 16 is 4 (perfect square) , square root of 17 is 4.123... doesnt repeat or stop, and the square root of 18 is 4.242.. but doesnt repeat or stop. A rational number can be expressed as a ratio or a fraction. 16 can be expressed as a fraction the other numbers keep going meaning never stop.
f(-2) : f(x)= -x^2+5x-12
Answers
EASY PEASY i got u bro
f(-2) = -(-2) + 5(-2) - 12
= 2 -10 -12
= -20
F(-2) = -20
Just plug in -2 for x
At camp, there are 12
campers and 2 counselors
in each cabin. What is the
ratio of campers to total
people in the cabin?
Answers
Answer: 50
Step-by-step explanation:
50+0
Tomas and Kyle each bought a shirt at the school store. Tomas gave the cashier a $20 bill and received $6.15 in change. Kyle
gave the cashier a $10 bill and received $1.06 in change. Which statement about the cost of the shirts is true?
Tomas's shirt costs $5.09 more than Kyle's shirt.
Answers
Answer:
for tomas 19.100-6.15=$13.85dollars
so tomas's shirt cost $13.85
for kyle 9.100-1.06=$8.94
13.85-8.94=4.91
so tomas's shirt $4.91more than Kyle's shirt
Answer:
Tomas's shirt costs $4.91 more than Kyle's shirt.
Step-by-step explanation:
It is given that Tomas gave the cashier a $20 bill and received $6.15 in change. So, the cost of Tomas's shirt is the difference between the amount he gave and he received in change.
Cost of Tomas's shirt = $20 - $6.15 = $13.85
Kyle gave the cashier a $10 bill and received $1.06 in change. So,
Cost of Kyle's shirt = $10 - $1.06 = $8.94
The cost of Tomas's shirt is $13.85 and the cost of Kyle's shirt is $8.94.
Cost of Tomas's shirt is more that the cost of Kyle's shirt.
$13.85- $8.94=$4.91
Therefore, Tomas's shirt costs $4.91 more than Kyle's shirt.
A store started off the day with 32 500 items and finished with 30 824 in stock HOW MANY ITEMS SOLD (“the difference”)
Answers
Answer:
1676
Step-by-step explanation:
The store started with 32500 items and finished the day with 30824 items.
Intial value = 32500
Final value = 30824
Difference = Initial value - Final value = 32500 - 30824 = 1676
The store sold 1676 items in the day
If you vertically compress the absolute value parent function, f(x) = [xl, by a
factor of 4, what is the equation of the new function?
Answers
Answer:Vertical stretch/compression is achieved by multiplying the function by a certain constant. In particular, if the function is vertically stretched by a factor k, otherwise, if , the function is vertically compressed by a factor k. So, in your case, you want to multiply the function by 1/4.
Is this statement is true -8< 8
Answers
What is the value of x?
Answers
____________________________________________
Thus:
x = 18(4/3)
x = 24
Write 9.054 X 10-6 in standard form.
Answers
Answer:
0.000009054
Have a nice day!!! :-)
9.054 X 10-6 is represented by the conventional form 0.000009054.
Explain about the standard form?Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.
A linear equation has the conventional form Ax+By=C. A slope-intercept form equation (y=mx+b) must have the x and y on the same side of the equal sign and the constant on the opposite side in order to be converted to standard form.
Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form. If you look closely, you will see that 1.23 is a decimal between 1.0 and 10.0, and as a result, we have the standard form of 123,000,000 as 1.23 108.
To learn more about standard form refer to:
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Please answer this correctly
Answers
Answer:
28:26
Explanation:
Because a ratio compares things. Since there are 26 students on the floor, and 28 students on the bleachers, you would type 28:26.
I hope I was helpful :)
Given 35,000, find each share in the ratio 2:5
Answers
Answer:
14000:21000
Step-by-step explanation:
2:3 = 2x + 3x
2x + 3x = 35,000
5x = 35,000
x = 35,000/5
x = 7000
2x = 7000 * 2
= 14000
3x = 7000 * 3
= 21000
1. A right circular cylinder has a height of 5 in. and a base area of 20 in2. What is the volume of the cylinder? Use π = 3.14.
2. A cylinder has a base area of 20.7 in2 and the volume is 207 in3. What is the height of the cylinder?
Answers
1. Volume of a cylinder is πr^2h
Area of the base would be πr^2
Volume would be the height x the area of the base:
Volume = 5 x 20 = 100 cubic in.
2. Divide the volume by the area:
207 / 20.7 = 10
The height is 10 inches.
Answer:
1. V = 100 in³2. h = 10 inStep-by-step explanation:
The formula of a volume of a cylinder:
[tex]V=Bh[/tex]
B - base area
h - height
1. We have
h = 5in, B = 20 in².
Substitute:
[tex]V=(5)(20)=100\ in^3[/tex]
2. We have
B = 20.7 in², V = 207 in³.
Substitute:
[tex]207=20.7h[/tex] divide both sides by 20.7
[tex]\dfrac{207}{20.7}=\dfrac{20.7h}{20.7}\\\\10=h\to h=10\ in[/tex]
Y=-1/7x-11 in standard form
Answers
Answer:
x+7y = -77
Step-by-step explanation:
multiply both sides by 7 to get rid of denominator
7y = -x-77
now move x term to other side
x+7y = -77
55.4
The 5 in the ones place is. The value of the 5 in the tens place
Answers
The 5 in the ones place has a value of 5, while the 5 in the tens place has a value of 50.
Hope this helped!
Nate
The answwe is that 5 is 50 and 5 is 5, giv the other user brainliest tho...
HELP needed!
Complete the steps to find the value of x within the plane?
Answers
2x=128
x= 64
Answer:
Step-by-step explanation:
13/15 + 1/8 =
Please help
Answers
13/15+1/8
13/15=1/5
1/5+1/8
8+5/40
fraction response: 13/40
answer in decimal numbers: 0.325
Answer: = 119/120
Step-by-step explanation:
=
104
120
+
15
120
=
104+15
120
=
119
120
(Decimal: 0.991667)
the value of (3⁰+2⁰)×5⁰ is
Answers
The resulting expression for (3⁰+2⁰)×5⁰ is 1
Before we solve the tabled algebra problem, we must understand that any value raise to the power of zero is 1.
Given the expression
(3⁰+2⁰)×5⁰
Since all the integers are raised to power of zero, hence;
3⁰ = 1
2⁰ = 1
5⁰ = 1
Substitute this values into the given expression
= (3⁰+2⁰)×5⁰
= (1+1)×1
= 1 × 1
= 1
Hence the resulting expression for (3⁰+2⁰)×5⁰ is 1
Learn more here: https://brainly.com/question/6813210
Tommy is beginning a science experiment in the lab. The instruction call for 0.322 kilgram of potassium. Write 0.322 as a fraction
Answers
the answer is
161/500
Rewrite the radical expression as an expression with rational exponents.
fifth root of x to the power of 9
a- x to the five ninths power
b-x to the nine fifths power
c-5x9
d- 9x5
Answers
The fifth root of x can be expressed as a power of 1/5 this way:
x^(1/5).
Now raise [x^(1/5)] to the 9th power.
[x^(1/5)]^(9)
Multiply the powers to complete the problem.
x^(9/5)
Answer: Choice B.
The expression 'fifth root of x to the power of 9' can be rewritten as 'x to the 9/5 power' in terms of rational exponents, this is option b.
Explanation:The correct rewrite of the expression, 'fifth root of x to the power of 9', utilizing rational exponents instead of a radical approach, is expressed as x to the 9/5 power. When translating a radical to a rational exponent, the index of the root becomes the denominator and the power of the term inside the root becomes the numerator.
So, fifth root of x to the power of 9 translates to x to the power of 9/5, which corresponds to option b.
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Which value for x makes the sentence true?
8x + 4 = 20
A. x = 12
B. x = 4
C. x = 8
D. x = 2
Answers
8x+4= 20
move +4 to the other side
sign changes from +4 to -4
8x+4-4= 20-4
8x= 20-4
8x= 16
divide both sides by 8 to get x by itself
8x/8= 16/8
Cross out 8 and 8, divide by 8 and then becomes 1*1*x= x
x= 16/8
Answer: D. x = 2
In order to get the answer to this question you will have to solve the equation before you can get the answer.
[tex]8x+4=20[/tex]
[tex]-4-4[/tex]
[tex]20-4=16[/tex]
[tex]8x=16[/tex]
[tex]\div8\div8[/tex]
[tex]16\div8=2[/tex]
[tex]x=2[/tex]
Therefore your answer is option D "x = 2."
Hope this helps.
Help me please. Solve this equation with the steps. -5•10^x=-31. Thank you
Answers
Answer:
[tex]x=0.79[/tex]
Step-by-step explanation:
we have
[tex]-5(10^{x})=-31[/tex]
step 1
Divide by -5 both sides
[tex]10^{x}=31/5[/tex]
step 2
Apply log both sides
[tex]log[10^{x}]=log[31/5][/tex]
step 3
Applying Property of logarithms
Remember that
[tex]log(x^{y})=ylog(x)[/tex]
so
[tex]xlog[10]=log[31/5][/tex]
Remember that
[tex]log(10)=1[/tex]
substitute
[tex]x=log[31/5][/tex]
[tex]x=log(6.2)[/tex]
[tex]x=0.79[/tex]
Expand 3x(11-7x). Help please
Answers
Answer: The required expand form is [tex]33x-21x^2.[/tex]
Step-by-step explanation: We are given to expand the following expression :
[tex]E=3x(11-7x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To expand the given expression, we must multiply 3x with each of the rems within the bracket.
The expansion of expression (i) is as follows :
[tex]E\\\\=3x(11-7x)\\\\=3x\times11-3x\times7x\\\\=33x-21x^2.[/tex]
Thus, the required expand form is [tex]33x-21x^2.[/tex]
If a pair of shoes costs $52.50 including a 7.25% tax, what is the original cost of the item before taxes are added? No other symbols other than the number rounded to the second decimal.
Answers
Answer:
56.31
Step-by-step explanation:
A 7.25% tax is $3.81
52.50-3.81+48.69
Hope it helps!