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3 years ago

The following graph shows the low temperatures for the past six nights. Which night had a low temperature of 26°F?

Mathematics

2 answers:

Rasek [7]3 years ago

7 0

The Correct answer is A

mariarad [96]3 years ago

6 0

Answer:

Thursday

Step-by-step explanation:

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Find the y intercepts of 3x^2+24x-51. quadratic formula

julia-pushkina [17]

Quadratic Formula: $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , with a = x^2 coefficient, b = x coefficient, and c = constant.

Firstly, starting with the y-intercept. To find the y-intercept, set the x variable to zero and solve as such:

$y=3*0^2+24*0-51\\y=0+0-51\\y=-51$

Your y-intercept is (0,-51).

Next, using our equation plug the appropriate values into the quadratic formula:

$x=\frac{-24\pm \sqrt{24^2-4*3*(-54)}}{2*3}$

Next, solve the multiplications and exponent:

$x=\frac{-24\pm \sqrt{576-(-648)}}{6}\\\\x=\frac{-24\pm \sqrt{576+648}}{6}$

Next, solve the addition:

$x=\frac{-24\pm \sqrt{1224}}{6}$

Now, simplify the radical using the product rule of radicals as such:

Product Rule of Radicals: √ab = √a × √b

√1224 = √12 × √102 = √2 × √6 × √6 × √17 = 6 × √2 × √17 = 6√34

$x=\frac{-24\pm 6\sqrt{34}}{6}$

Next, divide:

$x=-4\pm \sqrt{34}$

The exact values of your x-intercepts are (-4 + √34, 0) and (-4 - √34, 0).

Now to find the approximate values, solve this twice: once with the + symbol and once with the - symbol:

$x=-4+ \sqrt{34},-4- \sqrt{34}\\x\approx 1.83, -9.83$

The approximate values of your x-intercepts (rounded to the hundredths) are (1.83,0) and (-9.83,0).

5 0

3 years ago

Pizzeria Napoli sells a round pizza with diameter 16 inches and a square pizza with side length 15 inches. Which of the two shap

zavuch27 [327]

Answer: Square, 24 square inches

Step-by-step explanation:

Given

Diameter of round pizza $d=16\ in.$

Side of square pizza $a=15\ in.$

Area of circle $\pi r^2$

The area of a square is $a^2$

$\therefore \text{Area of round Pizza}=\pi \times (\frac{16}{2})^2\\\Rightarrow A_1=\pi \times 8^2=201.088\ in.^2$

The area of square pizza is

$A_2=15^2=225\ in.^2$

Clearly, the area of square pizza is more and the difference in their area is

$\Rightarrow A_2-A_1=225-201.088=23.91\approx\ 24\ in.^2$

6 0

2 years ago

Express 0.001 in scientific notation by counting decimal places

kati45 [8]

1 x 10-3 make sure the -3 is above the 10.

7 0

3 years ago

5x + 3 - 2x = 12 + 7x - 2 solution ??? SOMEONE HELPPP PLEASE !!

tensa zangetsu [6.8K]

Answer:

x = -7/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

5x + 3 - 2x = 12 + 7x - 2

Step 2: Solve for x

Combine like terms: 3x + 3 = 7x + 10
[SPE] Subtract 3x on both sides: 3 = 4x + 10
[SPE] Subtract 10 on both sides: -7 = 4x
[DPE] Divide 4 on both sides: -7/4 = x
Rewrite: x = -7/4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
Multiply: -35/4 + 3 + 7/2 = 12 - 49/4 - 2
Add: -23/4 + 7/2 = 12 - 49/4 - 2
Add: -9/4 = 12 - 49/4 - 2
Subtract: -9/4 = -1/4 - 2
Subtract: -9/4 = -9/4

Here we see that -9/4 does indeed equal -9/4.

∴ x = -7/4 is the solution to the equation.

8 0

2 years ago

What numbers would be in the in the 4 sections of a 2 x 2 array that shows the problem 19 x 11?

marishachu [46]

Answer:

number 2

Step-by-step explanation:

3 0

3 years ago