1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gtnhenbr [62]
3 years ago
10

what is f(x) = 2x2 28x – 5 written in vertex form? f(x) = 2(x 7)2 – 19 f(x) = 2(x 7)2 – 103 f(x) = 2(x 14)2 – 14 f(x) = 2(x 14)2

– 98
Mathematics
2 answers:
Katarina [22]3 years ago
4 0
Hello,
++++++++++++++++++++++
Answer B
++++++++++++++++++++++

2x²+28x-5=2(x²+2*7x+49)-5-2*48
=2(x+7)²-103

++++++++++++++++++++++++++++++
lana66690 [7]3 years ago
4 0

Answer:

f(x)=2(x+7)^2-103

Step-by-step explanation:

f(x) = 2x^2+28x - 5

To find out vertex apply the formula x=-b/2a

The value of a=2 and b=28

x=\frac{-b}{2a} =\frac{-28}{4} =-7

Now plug in x=-7 in f(x) equation and find out f(-7)

f(-7) = 2(-7)^2+28(-7)- 5=-103

Vertex is (-7,-103)

Now use vertex formula

f(x)=a(x-h)^2+k

a=2, h=-7, k=-103

Plug in all the values in the vertex form equation

f(x)=2(x+7)^2-103

You might be interested in
How much is 10% off 900$
Goryan [66]
$810 !! hope this helps :)
3 0
3 years ago
What are the postulates for congruent triangles
Delvig [45]

Hi there!

There are 5 ways to find if two triangles are congruent :

SSS, SAS, ASA, AAS & HL

<u>1. SSS (Side, Side, Side)</u>

Means that we have two triangles with 3 sides equal.

⇒ If 3 sides of one triangle are equal to 3 sides of another triangle, the triangles are congruent.

<u>2. SAS (Side, Angle, Side)</u>

Means that we have two triangles where we know 2 sides and the included angle are equal.

⇒ If 2 sides and the includent angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

<u>3. ASA (Angle, Side, Angle)</u>

Means that we have two triangles where we know 2 angles and the included side are equal.

⇒ If 2 angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

<u>4. AAS (Angle, Angle, Side)</u>

Means thant we have two triangles where we know 2 angles and the non-included side are equal.

⇒ If 2 angles and the non-included side of one triangle are equal to the coresponding angles and side of another triangle, the triangles are congruent.

<u>5. HL (Hypotenuse, leg)</u>

** This one only applies to <em><u>right-angled triangles</u></em>.**

Hypotenuse: The longest side of a right-angled triangle.

Legs: The other 2 sides of the right-angled triangle.

Means we have two right-angled triangles with the same length of hypotenuse and the same length for one of the other 2 legs (it doesn't matter which leg since the triangles could be rotated).

⇒ If the hypotenuse and one leg of one right-angled triangles are equal to the corresponding hypotenuse and leg of another right-angled triangles, the two triangles are congruent.


There you go! I really hope this helped, if there's anything just let me know! :)

7 0
3 years ago
marcys breakfast table has a square table top with an area of 36 square feet. what is the diagonal length of the table top​
MAXImum [283]

Answer:

√36 = 6

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

72 = c^2

√72 = c

2 36

2 18

2 9

3 3

6√2 = c

6√2 = (estimate rounded up, 8.49)

7 0
3 years ago
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 900 vot
Stells [14]

Answer:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

Step-by-step explanation:

Information given

n=900 represent the random sample selected

\hat p=0.75 estimated proportion of residents favored annexation

p_o=0.72 is the value that we want to test

represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:  

Null hypothesis:p\leq 0.72  

Alternative hypothesis:p > 0.72  

The statistic for this case is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the data given we got:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

3 0
2 years ago
The total cost, c, of bananas is proportional to the number of pounds, p, purchased. Bananas are selling for 79 cents per pound
mrs_skeptik [129]

Answer:

C = 0.79p

Step-by-step explanation:

This equation means that the cost of the bananas is 0.79 cents per pound.

If this answer is correct, please make me Brainliest!

4 0
3 years ago
Other questions:
  • Find the scale factor,and find the unknown side lengths.<br> Help if you can please
    8·1 answer
  • A gyms membership in 2010 was 8,700. Now is 6400 what is an expression that equals the percent of change
    12·2 answers
  • An escalator lifts people to the second floor of a building, 21 ft above the first floor. the escalator rises at a 30 degree ang
    13·1 answer
  • There are 5 designs of necklaces available at a jewelry store. Each design is available in 3 types of stones. How many different
    14·1 answer
  • Rachel is packing up her room to move to a new city.Together,all the books on her bookshelf weigh 85 pounds.She wants to divide
    15·1 answer
  • Please place 0,1, and 1/2 in the correct boxes. Thank you
    9·1 answer
  • bob rides his bicycle on a bike path that is 75 kilometers long to get to his house that is due east of the bike path. If it tak
    9·1 answer
  • Angela began studying at 3:17 P.M. She studied until 4:22 P.M.<br><br> How long did Angela study?
    9·2 answers
  • A school has 36 fish swamps 4/6 of them's are boys how much are girls
    9·2 answers
  • Are the ratios equivalent?5/25 and 3/15 Select Yes or No.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!