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
nataly862011 [7]
3 years ago
11

2 Points

Mathematics
1 answer:
Inga [223]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Given

9 - 7x = (4x - 3)² + 5 ← expand the squared factor

9 - 7x = 16x² - 24x + 9 + 5, that is

9 - 7x = 16x² - 24x + 14 ( subtract 9 - 7x from both sides )

0 = 16x² - 17x + 5, that is

16x² - 17x + 5 = 0 ← in standard form → D

You might be interested in
Without sketching the graph of the function, find the maximum value of y = - 5x + 4 over the interval - 4 <= x <= 3. Expla
yKpoI14uk [10]

Answer:

y_{max}=24

Step-by-step explanation:

Given function y=-5x+4 is linear function. This linear function represents the straight line on the coordinate plane. The slope of this line is -5. Since the slope is negative, the linear function is decreasing for all x. This means

\text{ if } x_1 f(x_2)

You ar geven the interval -4\le x\le 3. So, the maximum value of the function is at the point x=-4 and the minimum value of the function is at the point x=3.

At x=-4,

y=-5\cdot (-4)+4=20+4=24.

3 0
3 years ago
On Monday Sophie ran 4 5/6 laps of a running track and on Tuesday she ran 5 3/4
MatroZZZ [7]

Answer:

10  7/12

hope this is right

Step-by-step explanation:

4  5/6 = 29/6 as an improper fraction

5  3/4 = 23/4 as an improper fraction

you times the two denominators together = 24

you times 29 by 4 = 116

you times 23 by 6 = 138

you add 116 and 138 = 254

you put this over 24 =  254/24

simplify this = 127/12

you make this a mixed number = 10 7/12

the answer is 10 7/12

3 0
3 years ago
What are the steps on finding common denominators. PLEASE HELP
Dmitrij [34]

Step-by-step explanation:

to find a common denominator, you have to find a number that "works" with every other number.

for example, say you have

2/4 and 8/12

First you need to find the common factor between 4 and 12, so list all your fours

4, 8, 12, 16, 20

Now list all your twelves

12, 24, 36, 48, 60

to find the common factor you look at both your list of numbers and find one that's the same, sometimes it takes a long list of numbers to find the common factor, but you will run into one.

So by looking at our list we see that 4 and 12 share the common factor of 12. but since 8/12 already has a denominator of 12, we are going to leave it alone.

now think about what you would multiply 4 by, to get to 12. The answer is

4 x 3 = 12

to make the numerator correct, you multiply it by the same number you did 4, so since your faction is 2/4 you should do 2 x 3 = 6

now you have your answer,

2/4 and 8/12 turns into

6/12 and 8/12

and that's how you find it, let me know if you have questions :)

7 0
2 years ago
Please help!!!! 2 questions 50 points!!!!
Zielflug [23.3K]

Answer:

See below ~

Step-by-step explanation:

<u>Question 1</u>

<u>The missing angles</u>

  • Both the unknown angles have the same value as the other two angles in the triangles are the same
  • ∠(missing) = 180 - (72 x 2)
  • ∠(missing) = 180 - 144
  • ∠(missing) = 36°

⇒ The sides are <u>equal</u>

⇒ Angles are <u>not 90°</u>

⇒ It is a <u>rhombus</u>

<u></u>

<u>Question 2</u>

  • The <u>diagonals</u> of the shape <u>bisect other</u> (Statement 1)
  • NY = NW (given)
  • XN = NZ (given)
  • ∠XNY = ∠WXZ (vertically opposite angles)
  • ΔXNY ≅ ΔWXZ (SAS)
  • They form <u>two congruent triangles</u> (Statement 2)
  • From these two statements, it is evident the figure is a <u>parallelogram</u>
7 0
2 years ago
If f(x)=3x2−4x+6 find f(−3)
kvv77 [185]

Answer:

45

Step-by-step explanation:

Replace everything in the equation that has a x to -3:

f(-3)=3(-3)^2-4(-3)+6

Square the -3:

f(-3)=3(9)-4(-3)+6

Multiply/Distribute

f(-3)=27+12+6

Add:

f(-3)=45

Hope this helps!

6 0
3 years ago
Read 2 more answers
Other questions:
  • David has 36 marbles, 24 of which are black and 12 are blue. What is the ratio of black marbles to blue marbles? Write the ratio
    10·1 answer
  • Shirley measures the thickness of the sides of a cardboard box using a ruler that has centimeter and inch markings. Which of the
    12·2 answers
  • A company decides to do a survey of overall employee happiness at each of its plants by choosing 100 employees to take the surve
    12·1 answer
  • Write the equation -24x+(-4)+-2 in standard standard form using integer coefficients ​
    13·1 answer
  • If f (x)=1/3(6)x what is f(2)
    10·1 answer
  • What are the dimensions of the matrix?
    11·2 answers
  • Find x. Assume that segments that appear tangent are tangent.
    11·1 answer
  • If the nth term of a sequence is 3n+2 them T³= T⁵=T¹⁵=​
    5·1 answer
  • If 9/a = 7/a², then a=?
    14·1 answer
  • Calculate the distance between the points Q = (2, -1) and K = (6,-9) in the coordinate plane.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!