Answer:
Step-by-step explanation:
Express x^2+4x-7 in the form (x+a)^2-b where a and b are integers
Answer:
(x + 2)^2 - 11.
Step-by-step explanation:
f(x) = x^2 + 4x - 7
Now x^2 + 4x = (x + 2)^2 - 4 so we have:
f(x) = (x + 2)^2 - 4 - 7
f(x) = (x + 2)^2 - 11.
Here, we are required to express x² + 4x - 7 in the form (x+a)² - b and determine the values of a and b.
The values of a and b are 2 and 11 respectively.By completing the square method;
a = (4/2) = 2.
Therefore, by expanding (x+a)² i.e (x+2)²
We therefore have; x² + 4x + 4
However, the question is given as x²+4x-7
Therefore, by comparison between;
x² + 4x + 4 and x²+4x-7; we have;
4 - b = -7, b = 7+4
Ultimately, b = 11
Read more:
https://brainly.com/question/13981588
which statement best describes the function below? \f(x)=2x^2-3x+1
Answer:
what are the two answers?
2 - (7/8 - 3/4) /'s are fractions
Answer:
[tex]1\frac{7}{8}[/tex] or [tex]\frac{15}{8}[/tex]
Step-by-step explanation:
[tex]2-(\frac{7}{8} -\frac{3}{4} )=\\\\2-(\frac{7}{8} -\frac{6}{8}) =\\\\2-\frac{1}{8} =\\\\1\frac{7}{8} =\\\\\frac{15}{8}[/tex]
Answer:
Brainliest here!
Step-by-step explanation:
2- (7/8 -6/8) = 2-1/8
simplify = 1 7/8 or 15/8
Complete the equation of the line through (-8,-2)and (-4,6)
use exact number
y=................
Answer: y=2x+14
Step:
substitute into y=mx+b
m= slope
b = y-int.
Which statement describes how to determine if a relation given in a table is a function?
A. If none of the output values are repeated, the relation is a function.
B. If none of the input values are repeated, the relation is a function.
C. If any of the input values are equal to the output values, the relation is a function.
D. If all the output values are paired with the same input value, the relation is a function.
Answer: B
Step-by-step explanation: A function is a relation in which each input value is paired to exactly one output value.
Technically, if you had the same input value twice and the same output value corresponded to each of those, it would still be a function because you are just repeating what you have twice.
However, most teachers want to think of it as each input value must have exactly one corresponding value to be a function.
Answer:
B. If none of the input values are repeated, the relation is a function.
Step-by-step explanation:
Just took test on edge 2020
Point (–1, –3) is mapped onto ________ when rotated 180° counterclockwise about the origin. Question 9 options: A) (3, –1) B) (1, –3) C) (–1, 3) D) (1, 3)
Answer:
D (1,3)
Step-by-step explanation:
(x,y) → (-x, -y)
Mapping rule for 180-degree
1. Multiply the x-coordinate by -1
2. Multiply the y-coordinate by -1
3. Simplify
What is the product of -2.49 and 2.24?
Answer:
-5.5776
Step-by-step explanation:
-2.49 times 2.24 = -5.5776
Answer:
Hey!
Your answer is -5.5776!
Step-by-step explanation:
-2.49 times 2.24 = -5.5776
That is your solution!
HOPE THIS HELPS!!
please help me with 4 more questions ill give brainliest plesase!!
Answer:
(- 1, - 1 )
Step-by-step explanation:
Since the dilatation is centred at the origin, then multiply the coordinates of the original point by the scale factor, that is
(- 3, - 3 ) → ([tex]\frac{1}{3}[/tex] × - 3, [tex]\frac{1}{3}[/tex] × - 3 ) → (- 1, - 1 )
please help me out here
*image attached
Answer:
Rate of change = change y / change x
Change y = + 1
Change x = + 2
SO the rate of change is 1/2
WHAT IS THE Y VALUE WHEN X IS 9
y = 1 MULTIPLY by 4.5 = 4.5
x = 2 MULTIPLY by 4.5 = 9
Y = 4.5 when x = 9
PLEASE HELP ME! WILL MARK BRAINLIEST! I WILL REPORT ABSURD AND INCORRECT ANSWERS!
2. Suppose, 11 numbers are given. When each of them was increased by 1, the sum of their squares did not change. Once again each number is increased by 1. Does the sum of squares change this time, and if so, by how much?
4. Several points were marked on a line after which a point was added between any two neighboring points. This operation was repeated 2 more times, and as a result, there were 65 points on the straight line. How many points were there in the beginning?
Hello, please consider the following.
PART 2
Let's note [tex](x_i)_{1\leq i\leq 11}[/tex] the 11 numbers.
We can write the following
[tex]x_1^2+...+x_{11}^2=(x_1+1)^2+...+(x_{11}+1)^2\\\\=x_1^2+...+x_{11}^2+2(x_1+...+x_{11})+11\\\\\text{So } 2(x_1+...+x_{11})+11 = 0\\\\(x_1+2)^2+...+(x_{11}+2)^2=x_1^2+...+x_{11}^2+4(x_1+...+x_{11})+4*11\\\\\text{As we know that }2(x_1+...+x_{11})+11 = 0\\4(x_1+...+x_{11})+4*11=-11*2+4*11=22[/tex]
So the sum of squares changes by
[tex]\boxed{ \ 22 \ }[/tex]
PART 4
Let's say that we have n points at the beginning.
We will add n-1 points the first time, we will get n + n - 1 = 2n -1 points.
And then, the second time we add 2n - 1 - 1 points and we get
2n - 1 +2n - 2 = 4n - 3.
Finally, we do it a last time, we add 4n - 3 - 1 points and we get 4n - 3 + 4n - 4 points = 8n - 7 and it must be 65.
So, 8n -7 = 65 <=> 8n = 65+7=72 <=> n = 72/8=9
[tex]\boxed{= \ 9}[/tex]
Thank you
Help please fast please
Answer:
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Step-by-step explanation:
89835000000*10^-7 = 8983.5
8.9835*10^5= 898350
8983.5 < 898350
Answer:
<
Step-by-step explanation:
Simplify each of the numbers
89835000000 x 10^-7 = 8983.5
8.9835 x 10^5 = 89835
89835000000 x 10^-7 < 8.9835 x 10^5
How many one-half cubes with dimensions of 1\2x1x1 fit in a unit cube?
0 1
O 2
Answer:
2 half cubes
Step-by-step explanation:
this has only half the width, you just need 1 more to make a whole, therefore 2
Can you people help me please
The right answer is -2.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Does (3, 3) make the equation y = x true?
Answer:
yes
Step-by-step explanation:
Substitute the points into the equation
y =x
3=3
This is true so (3,3) is a solution
Which table represents a function?
The one on the far left
The ratios 3:9, 4:12, 5:15, and 6:18 are a pattern of equivalent ratios in the table below. A multiplication table. In the row labeled 1, the numbers 3, 4, 5, and 6 are highlighted. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Which is another ratio in this pattern?
Answer:
7 and 21
Step-by-step explanation:
the ratios are following a 1:3 pattern. basically, whichever number is in the first row, the second row will have it times 3. So, if you chose the number 7, 7x3=21, so 7 & 21 are other ratios in the pattern
Consider the diagram. Parallel lines r and s are cut by transversal q. On line r where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line s where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. Given that r||s and q is a transversal, we know that by the [________]. corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Answer:
alternet interior angles i think?
Step-by-step explanation:
Angles between transversal of parallel lines are related by several angle theorems.
The theorem that supports r || s and transversal q is (b) alternate interior angles theorem
From the image of lines q, r and s (see attachment), we have the following highlights.
Angles 3 and 6; angles 4 and 5, are alternate interior angles, and they are congruent
The above means that:
Angles 2 and 7; angles 1 and 8, are also congruent
Hence, r || s and q is a transversal, because of the alternate interior angle theorem.
Read more about parallel lines and transversal at:
https://brainly.com/question/16967505
what are the factors of -24x^3y^2z
a) 8
b) -8
c) x^5
d) z^2
Answer:
B
Step-by-step explanation:
Someone help me ASAP please
Answer:
Step-by-step explanation:
use a^2+b^2=c^2.
5^2+7^2=c^2
25+49=c^2
sqrt74= 8.6 so side c is about 8 units
Answer:
C. about 8 units
Step-by-step explanation:
correct answer is c
If the graph of the polynomial intersects the x-axis at two points, then the
polynomial has how many
zeros.
Answer:
Two zeroes
Step-by-step explanation:
A zero is where the graph meets the x-axis. If it hits the axis twice, there are two zeroes.
Simplify. 12x^4y^5+8x^3y^7-16x^2y^6 over 4xy^5
Answer:
3x^3+2x^2y^2-4xy
Step-by-step explanation:
You should Photomath really good for math problems
Ericka is also in Mr. Whittaker’s science class and she recorded the variation in water level at a different part of the river. She observed that the water level there fell 2.2 millimeters per year over a period of 6.2 years
This data is compared to the average annual trend, which shows the water level rising 1.8 mm/year.
Which of the decimals in the problem should be represented as a negative rate?
Which two factors should Ericka multiply to find the total variation in water level?
Answer:
Which of the decimals in the problem should be represented as a negative rate?
2.2 mm/year
Which two factors should Ericka multiply to find the total variation in water level?
6.2 years and –2.2 mm/year
Step-by-step explanation:
2.2 is represented as a negative integer because the problem said the key word "fell."
You should multiply 6.2 and -2.2 because -2.2 is mm per year and it is going on for 6.2 years so you would multiply those together.
Answer:
2.2 mm/year 6.2 years and -2.2 mm/year
The last time Larissa checked her credit score, it was 760, and her only credit event since then has been applying for a store credit card. Which of these is most likely to be her credit score now? A. 770 B. 780 C. 750 D. 760
Answer:
750
Step-by-step explanation:
Applying for credit from any place pulls your credit report. When your credit report is pulled, your score decreases some.
However, this will not have a large effect on your score, so 750 would most likely be the new score.
Getting a store credit card affects the credit score a little bit, so the answer would likely be D.
please mark brainliest :)
Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not? Yes, because 2 goals is less than the total number of goals scored. No, because 3(2) + 2 ≠ 12. Yes, because 2 goals is less than the number of goals Kenny scored. No, because 3(2) ≠ 12.
Answer:
no
Step-by-step explanation:
Answer: I thinks its D if im wrong sorry
Step-by-step explanation:
Figure 3:
1. If you created a tree diagram to represent all the possible outcomes of a spinning spinner A once, then spinning spinner B, how many would there be in total
1. 9
2. 12
3. 18
Answer:
9
Step-by-step explanation:
Roger has 3.10 consisting of quarters dimes and nickles. The number of nickles was 3 less than the number of dimes. The number of dimes was 5 more than the number of quarters. How many coins of each type did he use?
Please help me, thank you very much!! <3
Answer:
5 dimes 2 nickels 10 quarters
Step-by-step explanation:
Let n = number of nickels
d = number of dimes
q = number of quarters
n = d - 3 (The number of nickles was 3 less than the number of dimes)
d= q - 5 (The number of dimes was 5 more than the number of quarters)
0.05n + 0.1d + 0.25q = 3.1
Use substitution:
n=q-8
0.05n + 0.1d + 0.25q = 3.1
0.05(q-8) + 0.1(q-5) + 0.25q = 3.1
0.05q-.4 + 0.1q -.5 +0.25q = 3.1
0.4q-0.9=3.1
0.4q=4
q = 10
n =q-8 n = 10-8 n=2
d=q - 5 d = 10-5 d = 5
Can someone plzz help me on thiss!
Answer:
A
Step-by-step explanation:
because it goes up constantly by 12
Which of the following real-world problems can be modeled with the inequality 384+2x<6x
384
+
2
x
<
6
x
?
Marta charges a flat fee of $384 plus $2 per linear foot to decorate tables for a quinceanera. Carla charges $6 per linear foot to do the same. For what number of linear feet, x, will the cost of both decorators be the same?
Shawna has made 384 campaign buttons for the student council election. She plans to make 2 more buttons each hour. Marguerite plans to make 6 campaign buttons per hour. For what number of hours, x, will Shawna have the same amount of campaign buttons as Marguerite?
Super Clean house cleaning company charges $384 to power wash a house plus $2 per linear foot. Power Bright charges $6 per linear foot and no flat fee. For what number of linear feet, x, will the cost of Super Clean be more expensive than Power Bright?
Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym?
Answer: Gym problem (fourth option)
Step-by-step explanation:
Hi, to answer this question we have to analyze the options given.
For the first option the equation is:
384+2x=6x
Because the problem asks for a solution where both costs are equal.
For the second option the equation is :
384+2x = 6x
Because the problem asks for a solution where both amounts are equal.
For the third option the inequality is:
384+2x>6x
Because the problem asks for a solution where the first cost is more expensive than the second cost.
For the fourth option (gym problem) the inequality is:
384+2x< 6x
Because the problem asks for a solution where the second cost (super gym) is more expensive than the first cost (mega gym).
This option is the correct one.
Feel free to ask for more if needed or if you did not understand something.
A distribution in which the mean, mode, and median are nearly equal is called a ___________
distribution
a. bimodal
b. flat
c.normal
d. skewed
Answer:
C) Normal distribution
Step-by-step explanation:
We are supposed to find A distribution in which the mean, mode, and median are nearly equal
A) bimodal
Bimodal distribution is a statistical pattern in which the frequencies of values in a sample have two distinct peaks, even though parts of the distribution may overlap.
B) Flat
A flat distribution can be said either to have no tails, or to have short tails.
C) Normal
A distribution in which the mean, mode, and median are nearly equal is called a normal distribution
D)Skewed
A left-skewed, negative distribution will have the mean to the left of the median.
A right-skewed distribution will have the mean to the right of the median.
Hence Option C is true
Answer:
its c on usatestprep
A typical dove weighs 345g. A typical duck weighs 1.2kg. What is the difference, in grams, of the weights of a duck and a dove?
Answer:
855 grams
Step-by-step explanation:
First convert the 1.2kg into grams.
1.2kg=1200 grams.
Now we have equal units of measurement. We then subtract: 1200g-345g=855g