Answer:
no real numbers
Step-by-step explanation:
x^2 − 10 x + 25
Factor
What 2 numbers multiply to 25 and add to -10
-5*-5 = 25
-5+-5 = -10
( x-5) (x-5)
This touches the graph at x =5
The parabola is positive so there are no values where the graph is negative
Answer:
No real solutions
Step-by-step explanation:
Part 1: Factoring the quadratic
The equation is in quadratic form - ax² + bx + c = 0.
Therefore, we can use a factoring technique to solve for x. I will use the quadratic formula - [tex]x=\frac{-b \pm \sqrt{b^{2}-4ac} }{2a}[/tex].
[tex]x=\frac{-(-10)\pm \sqrt{(-10)^{2}-4(1)(25)} }{2(1)}\\\\x=\frac{10\pm\sqrt{100-4(25)} }{2}\\\\x=\frac{10\pm\sqrt{100-100}}{2}\\\\x=\frac{10\pm\sqrt{0}}{2}\\\\x=\frac{10\pm0}{2}\\\\x=\frac{10}{2}\\\\\boxed{x=5}[/tex]
Part 2: Using discriminant to determine roots
Because the discriminant (square root portion of formula) was equivalent to zero, this is the only solution that proves the equation correctly. Therefore, there is no possible negative value that can be substituted for x without altering the final value that the equation is equal to.
Four students are verifying that x2 + x– 12 = (x – 3)(x + 4). Their conclusions are presented in the table. A 4-column table with 1 row. First column is labeled Damien with entry 3(negative 4) = negative 12, so the factors are correct. Second column is labeled Lauryn with entry negative 4 + 3 = negative 1, so the factors are correct. Third column is labeled Rico with entry negative 4(3) = negative 12 and negative 4 + 3 = negative 1, so the factors are correct. Fourth column is labeled Latisha with entry 4(negative 3) = negative 12 and negative 3 + 4 =1, so the factors are correct. Which student correctly verified that x2 + x – 12 = (x – 3)(x + 4)? Damien Lauryn Rico Latisha
Answer:
Latisha correctly verified that x² + x - 12 = (x - 3)(x + 4)
Step-by-step explanation:
In the problem, each student was to give their explanation of why the statement above is correct. In order to know if this statement is correct, you can also simply multiply the terms after the equal sign.
(x - 3)(x + 4)
Use foil method to multiply.
x² - 3x + 4x - 12
Combine like terms.
x² + x - 12
You can also find out if the statement is correct is multiplying and adding the numbers together.
-3 * 4 = -12
-3 + 4 = 1
So, Latisha is correct because her explanation verified the statement above.
Answer:
Latisha
Step-by-step explanation:
Correct on edg
[tex]2x + x { }^{2} + x[/tex]
Answer:
[tex]\huge \boxed{x(x+3)}[/tex]
Step-by-step explanation:
[tex]2x+x^2 +x[/tex]
Combine like terms.
[tex]x^2 +(2x+x)[/tex]
[tex]x^2 +3x[/tex]
Factor out [tex]x[/tex] from the expression.
[tex]x(x+3)[/tex]
i need help on figuring this out and the answer plz!!
Answer:
$76
Step-by-step explanation:
The amount changed is the total amount of the whole entire thing.
Therefore, we use absolute value or simply find the difference.
21 - (-55) = 76
So the bank account changed $76 over the 2 days.
wyatt uses 3.15 cups of flour in a recipe that makes 9 shortcakes. Cora uses 2.4 cups of flour in a recipe that makes 8 shortcakes. How much more flower per shortcake is needed for Cora's recipe?
Answer:
0.3
Step-by-step explanation:
You have to divide 2.4 ➗ 8
solve for x 7(3-x) = 8(4-2x)
Answer:
x = 11/9
Step-by-step explanation:
Eliminate parentheses, add 16x, subtract 21.
7(3 -x) = 8(4 -2x) . . . . given
21 -7x = 32 -16x . . . . . eliminate parentheses using the distributive property
9x +21 = 32 . . . . . . . . add 16x
9x = 11 . . . . . . . . . . . . subtract 21
x = 11/9 . . . . . . . . . . . .divide by the coefficient of x
Help is greatly appreciated:)
(84)/(12)+(5-7)^(2)-72-6x2
Answer:
[tex]-73[/tex]
Step-by-step explanation:
Note: My explanation is based of the order-of-operations
First, using the order-of-operations, we evaluate the expressions in parentheses. Fully simplifying [tex](5-7)^2[/tex] gives us: [tex](5-7)^2 = -2^2 = 4[/tex].
Next, we do [tex]6\cdot2[/tex] giving us [tex]12[/tex]. So far, our expression is simplified to [tex]\frac{84}{12} + 4 - 72 - 12[/tex].
We also know that [tex]\frac{84}{12}[/tex] is just [tex]7[/tex] so we can replace that value in the expression leaving us with: [tex]7+4-72-12[/tex]. Now, we can solve it in simple steps!
1) [tex]7+4=11[/tex]
3) [tex]11-72=-61[/tex]
4) [tex]-61-12=-73[/tex]
Our answer is [tex]-73[/tex]
Hopefully this helped you out! Please (please) tell me if their is a mistake in the solution and I will correct it as fast as possible for me.
Please help me on this assignment, I will brainly to the person with the correct answer!
Answer:
Step-by-step explanation:
I'm not sure if you have learned this yet, but using dimensional analysis (DA) for this problem makes everything so. much. easier! (I'll share a good video in the comments if you don't know what it is)
Okay, so we're given a 50,145 [tex]cm^{3}[/tex] statue, and we want to see how much it'll cost if it's $0.35 per kg, with a conversion factor of 2.6 [tex]g/cm^{3}[/tex].
First, with the conversion factor, I'll set up a dimensional analysis.
[tex]50,145 cm^{3} * \frac{2.6 g}{cm^{3} }[/tex]
cancel out the cm^3, and multiply the top two numbers. I used a calculator:
130377 g
We're not done yet! The question asks for how much it is in kg, not g. We could use D.A. , but g to kg is pretty easy. just put a decimal three paces in.
130.377 g = 130.377 kg
Now, either use D.A. to show your work, or just simply multiply.
130.377*0.35= $45.63
I think this is the right answer... Any questions, please comment!
Hellp me pls!!! For homework
Answer: 1.4
Work Shown:
42 cupcakes : 30 minutes
42/30 cupcakes : 30/30 minutes
1.4 cupcakes : 1 minute
The unit rate is 1.4 cupcakes per minute. This assumes that the rate is kept the same.
Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation?
0.75x+0.8(x + 10) = 101
Answer:
0.75x+0.8(x+10)=101
Step-by-step explanation:
Jared attempted x shots and made 75% of them, or 0.75x. Zach attempted 10 more shots than Jared did, which is represented as x + 10. He made 80% of them, or 0.8(x + 10). Together, they made 101 shots. So, add the two expressions and set the sum equal to 101:
0.75x + 0.8(x + 10) = 101.
Find the missing factor D that makes the equality true -15y^4=(D)(3y^2)
Answer:
[tex]D=-5y^2[/tex]
Step-by-step explanation:
We have the equation:
[tex]\displaystyle -15y^4=D(3y^2)[/tex]
And we want to find D such that the equation is true.
So, we can divide both sides by 3y². This will yield:
[tex]\displaystyle D=\frac{-15y^4}{3y^2}[/tex]
We can split this into:
[tex]\displaystyle D=\frac{-15}{3}\cdot\frac{y^4}{y^2}[/tex]
Simplify. Hence:
[tex]D=-5y^2[/tex]
How many significant figures does each value contain? 5.6803 kg has significant figures. 0.00047 seconds has significant figures. 0.240 miles has significant figures.
Answer:
5.6803 has five significant figures.
0.00047 has two significant figures.
0.240 has three significant figures.
What are Significant Figures?Significant figures are numbers that are necessary to express a true value.
Place the values in scientific notation.
[tex]5.6803 * 10^{0} = 5.6803\\\\4.7 * 10^{-4} = 0.00047\\\\2.4 * 10^{-1}=0.240[/tex]
Explanation5.6803
The zero that is within 5.6803 is "trapped," meaning it is in between two nonzero digits. Therefore, all five digits are significant figures.
This answer is also already in scientific notation because 5.6803 satisfies the inequality [tex]1 < x < 10[/tex], which decides if a number is correctly written in scientific notation or not.
0.00047
The zeroes that precede the 4 and the 7 are not significant because they are dropped in scientific notation and are not trapped by other nonzero digits. Therefore, only two digits of this value are significant.
0.240
Since the zero at the end of 0.240 is a trailing zero, it is significant along with the 2 and the 4. The zero that precedes these digits and the decimal point is not significant. Therefore, only three digits of this value are significant.
Therefore:
5.6803 has five significant figures.
0.00047 has two significant figures.
0.240 has three significant figures.
which of the following graphs dont belong and why?
Answer:
Upper Right
Step-by-step explanation:
All of them have different dips, therefore the one facing in a different direction must be the odd one out.
Answer:
top right graph
Step-by-step explanation:
3 of the 4 graphs start at negative infinity for negative x, and approach infinity as x approaches infinity.
The top right graph starts at infinity for negative x and approaches negative infinity as x approaches infinity.
Answer: top right graph
The physician orders 1500 flu injections. There were 300 shots given in September, 450 shots given in October, and 665 shots given in November. A. What percentage of flu vaccine has been given
Answer:
50%
Step-by-step explanation:
You take the 1500 shots and take away the 300 and 450 you get 750 you divide 750 from 1500 then you get 0.5 and you multiply it with 100 and you get the answer 50.
Out of 1500 flu injections the share of flu vaccines which has been given is 94.33%.
What is percentage?A percentage is that the number or ratio expressed as a fraction of 100. it's denoted by the expression %. it's calculated by the subsequent formula:
Percentage=Number/total*100
How to calculate percentage?It is provided that out of 1500 flu vaccines , 300 got in September, 450 got in October and 665 got in November.
Total vaccines given= 300+450+665
=1415
Percentage=1415/1500*100
=0.9433*100
=94.33%
Hence the proportion of flue vaccine that has been given is 94.33%.
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Write the equation 5x − 2y = 10 in the form y = mx + b. y equals start fraction five over two end fraction x minus 10 y equals start fraction five over two end fraction x minus five y equals start fraction five over two end fraction x plus five y equals negative start fraction five over two end fraction x minus five
Answer:
y = 5/2x - 5
Step-by-step explanation:
You have to rearrange the equation so that it is equal to y.
5x - 2y = 10
(5x - 2y) - 5x = -5x + 10
-2y = -5x + 10
(-2y)/-2 = (-5x)/-2 + (10)/-2
y = 5/2x - 5
how many are 7 raised to 2 ???
Answer:
[tex]\huge \boxed{49}[/tex]
Step-by-step explanation:
7 raised to 2 means the base 7 is to the power of 2.
[tex]7^2[/tex]
7 is squared or multiplied by itself.
[tex]7^2 =7 \times 7=49[/tex]
Help me with my summer Hw please
Answer:
Step-by-step explanation:
A smooth vector field on the phase plane is known to have exactly three closed orbits. Two of the cycles, say C1 and C2 , lie inside the third cycle C3 . However, C1 does not lie inside C2 , nor vice-versa. a) Sketch the arrangement of the three cycles. b) Show that there must be at least one fixed point in the region bounded by C1 ,C2 , C3 .
Answer:
a) attached below
b) Ic3 = Ic2 + Ic1 + index of a fixed point in ( C°₁ U C°₂ )^c n c₃
Step-by-step explanation:
A) sketch of the arrangement of the cycles
attached below
b) prove that at least one fixed point in the attached region is bounded
Given that : Ic3 = Ic2 = Ic1 = 1
hence : Ic3 = Ic2 + Ic1 + index of a fixed point in ( C°₁ U C°₂ )^c n c₃
This is a prove that at least one fixed point is bounded by C1 , C2 , C3
Mr lim had just enough money to buy 6 similar lamps. However, he bought 3 such lamps and had $950 left. How much money did mr lim have at first?
Let the cost of a lamp = x
6 lamps would cost 6x
He bought 3 lamps at 3x plus Thad 950 left.
3 lamps plus the 950
Would be the same amount as 6 lamps:
Set up an equation and solve for x:
3x + 950 = 6x
Subtract 3x from both sides:
950 = 3x
Divide both sides by 3:
X = 316.67
Each lamp was $316.67
Multiply the price of a lamp by 6:
316.67 x 6 = 1900
He had $1900
Answer: $1900
Step-by-step explanation:
Mr Lim had enough money to buy 6 similar lamps. However he only bought 3 such lamps. That means he had only spent half of his money (6-3=3).
So, if he take money remaining with him = x = $950
Amount of money he first had = 2x =$950×2 = $1900
Please answer this IQ maths question and tell method please
1) if 32 and 43 makes 35 , then 76 and 15 makes ______?
a)69 (b) 92 (c) 94 (d) 78
2)(3,6,11) and (13, 10,7) then (15,?,3) find the missing one
Answer:
3
3+3=6
3+3+5=11
13
13-3=10
10-3=7
15
15-7=8
8-5=3
32+43=75
75-40(highest ten)=35
76+15=91
91-70=21
2. What is the sum of iº + kº?
Which of the following statements is not true concerning the equation x^2 - c = 0 for c > 0
A. A quadratic system in this form can always be solved by factoring.
B. This equation is not considered to be a quadratic equation because it is not in the form ax^2 + bx + c = 0
C. The left-hand side of this equation is called a difference of two squares
D. A quadratic equation in this form can always be solved using the square root property.
Which of the following steps would not be necessary when using the square root property to solve a quadratic equation?
A. After applying the square root property, solve the resulting equations.
B. Isolate the quantity being squared
C. The square root property may be applied only if the constant is positive
D. When taking the square root of both sides, use plus-minus on the square root of the constant.
Which of the following steps can be performed can be performed so that the square root property may easily be applied to 2x^2 = 16?
A. The square root property requires a quantity squared by itself on one side of the equation. The only quantity is squared by 16, so divide both sides by 2 before applying the square root property
B. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is X, so divide both sides by 16 before applying the square root property
C. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is X, so divide both sides by 2 before applying the square root property
Answer:
The correct option are;
1) D. A quadratic equation of this form can always be solved using the square root property
2) B. Isolate the quantity being squared
3) C. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is X so divide both sides by 2 before applying the square root property
Step-by-step explanation:
Where the quadratic equation is of the form x² = b, the square root property method can be used to solve the equation. Due to the nature of square roots, putting a plus-minus before the square root of the constant on the right hand side of the equation after taking the square roots of both sides of the equation, two answers are produced.
It is however to first isolate the term with the squared variable, after which the square root of both sides of the equation is taken.
2x(7a+8a)-5 +56*2÷3
Answer:
Below
Step-by-step explanation:
● 2x(7a+8a) -5+56×2÷3
● 14ax + 8a -5 +56×2÷3
When you have multiplication and division go from left to right
● 14ax + 8a -5 +112÷3
● 14ax + 8a -5 +112/3
● 14ax + 8a - 15/3 + 112/3
● 14ax + 8a + 97/3
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
I believe it is A. 1,1150.6cm^3
Step-by-step explanation:
To solve for the volume of a cone:
[tex]V = \pi radius^{2} \frac{height}{3}[/tex]
Need to find the Domain and Range
Answer:
D: {x∈R | -2 ≤ x ≤ 2 }
R: {y∈R | 0 ≤ y ≤ 4 }
Step-by-step explanation:
The domain ranges between -2 and 2
The range ranges between 0 and 4
While traveling in England, Sonia noticed that the price of gas was 1.4 pints per liter. She wondered how that compares to the price of gas in Atlanta, where she lives. On that day, the exchange rate was £1= $1.56. Set up and evaluate a conversion expression to find the equivalent price in dollars per gallon. Use the conversion factor 1L=0.26 gal.
Answer:
The price in dollars per gallon is 8.4
Step-by-step explanation:
The ratio is a comparison between two quantities that is made using a quotient. In other words, a ratio is a comparison between two or more quantities that can be expressed as a fraction. If the quantities to be compared are a and b, the ratio between them is written as: [tex]\frac{a}{b}[/tex]
You know that the price in England is 1.4 pounds per liter and the current exchange rate is 1 pound = 1.65 dollars. So, being the following reasons:
[tex]\frac{1.4 pounds}{1 liter}[/tex][tex]\frac{1.56 dollars}{1 pound}[/tex]and being the conversion factor 1 L = 0.26 gal expressed as a ratio:
[tex]\frac{1 liter}{0.26 gal}[/tex]you can see that the expression to find the equivalent price in dollars per gallon is:
[tex]\frac{1.4 pounds}{1 liter}*\frac{1.56 dollars}{1 pound}*\frac{1 liter}{0.26 gal}[/tex]
Taking into account that all unwanted units of measure are canceled and solving:
[tex]\frac{1.4 pounds}{1 liter}*\frac{1.56 dollars}{1 pound}*\frac{1 liter}{0.26 gal}=\frac{2.184 dollars}{0.26gal}= 8.4 \frac{dollars}{gal}[/tex]
The price in dollars per gallon is 8.4
Find the area of the shaded region . RQ= 71.5 inches and PO=93.4 inches . Use 3.14 as necessary
Answer:
25,886.01 in²
Step-by-step explanation:
The area of shaded region = Area of the outter circle (the larger circle) - area of the inner circle (the smaller circle)
Area of a circle = πr²
Radius of larger circle = PO = 93.4 in
Area of the larger circle = 3.14*93.4² = 27,391.98 in²
Radius of smaller circle = PO - RQ = 93.4 - 71.5 = 21.9
Area of smaller circle = 3.14*21.9² = 1,505.97 in²
Area of shaded region = 27,391.98 - 1,505.97 = 25,886.01 in²
If x^2 -8x=48 and x<0, what is the value of x+10?
Answer:
6
Step-by-step explanation:
To calculate x+10, we first need to find x. To do this, we can use the first equation.
We are given the equation:
[tex]x^2-8x=48[/tex]
To solve for x, turn one side of the equation into 0 and solve. Therefore:
[tex]x^2-8x=48\\x^2-8x-48=0\\(x-12)(x+4)=0\\x=-4, 12[/tex]
So, the possible values for x are -4 and 12.
However, we are also told that x<0. In other words, x must be negative. Thus, we can remove 12. That leaves us with: x=-4.
So:
[tex]x+10\\(-4)+10\\=6[/tex]
HELPPP MEEEE PL………zzzzzz
Answer:
VW=6
Step-by-step explanation:
UW=VW+UV
5x=(5x-4)+(2x)
5x= 7x-4
7x-5x=4
2x=4
x=4/2=2
VW=5x-4=5(2)-4=10-4=6
I hope I helped you^_^
A train travels 250 km with a average speed of 75 km/hr and 350 km with 70km/hr and 200 km with average speed of 30km/hr. What will the average speed of whole journey of the train?
Answer:
53 1/3 km/h
Step-by-step explanation:
average speed = (total distance)/(total time)
average speed = distance/time
time * average speed = distance
time = distance/(average speed)
250 km at 75 km/h
distance = 250 km
time = (250 km)/(75 km/h) = 3.33333... hours
350 km at 70 km/h
distance = 350 km
time = (350 km)/(70 km/h) = 5 hours
200 km at 30 km/h
distance = 200 km
time = (200 km)/(30 km/h) = 6.6666... hour
total distance = 250 km + 350 km + 200 km = 800 km
total time = 3.33333... hours + 5 hours + 6.66666... hours = 15 hours
average speed = (total distance)/(total time)
average speed = (800 km)/(15 hours)
average speed = 53 1/3 km/h
The average speed of whole journey of the train is 45 km/hr
Average speed is the ratio of total distance travelled to total time taken. It is given by:
Average speed = total distance / total time
Given that a train travels 250 km with a average speed of 75 km/hr, hence:
75 = 250/time
time = 3.33 hours
It the travel 200 km with average speed of 30km/hr, hence:
30 = 200/time
time = 6.67 hours
The total distance = 200 km + 250 km = 450 km
The total time = 3.33 hr + 6.67 hr = 10 hours
Average speed = total distance/total time = 450 km/10 hours = 45 km/hr
The average speed of whole journey of the train is 45 km/hr
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